removed aux files

18 files changed, 0 insertions, 4232 deletions

diff --git a/CV-extended.aux b/CV-extended.aux
deleted file mode 100644
index ea3f20f..0000000
--- a/CV-extended.aux
+++ /dev/null
@@ -1,49 +0,0 @@
-\relax 
-\bibstyle{biblatex}
-\bibdata{CV-extended-blx,publications}
-\citation{biblatex-control}
-\abx@aux@refcontext{ydnt/global//global/global}
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-\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
-\AtEndDocument{\ifx\hyper@anchor\@undefined
-\let\contentsline\oldcontentsline
-\let\newlabel\oldnewlabel
-\fi}
-\fi}
-\global\let\hyper@last\relax 
-\gdef\HyperFirstAtBeginDocument#1{#1}
-\providecommand\HyField@AuxAddToFields[1]{}
-\providecommand\HyField@AuxAddToCoFields[2]{}
-\citation{*}
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-\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\scshape  {Workshops}}{4}{section*.13}}
-\abx@aux@refcontextdefaultsdone
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-\abx@aux@defaultrefcontext{0}{BBCDLP15euler}{ydnt/global//global/global}
-\abx@aux@defaultrefcontext{0}{BCDHKLMMNPS15choose}{ydnt/global//global/global}
-\abx@aux@defaultrefcontext{0}{BBCDLP15prime}{ydnt/global//global/global}
-\abx@aux@defaultrefcontext{0}{CS16orram}{ydnt/global//global/global}
-\abx@aux@defaultrefcontext{0}{CDDKRT15hanabi}{ydnt/global//global/global}
-\abx@aux@defaultrefcontext{0}{Bukh2018a}{ydnt/global//global/global}
-\abx@aux@defaultrefcontext{0}{Bukh2018}{ydnt/global//global/global}
-\abx@aux@defaultrefcontext{0}{briggscox17}{ydnt/global//global/global}
-\newlabel{lastpage}{{}{5}{}{section*.13}{}}
diff --git a/CV-extended.bbl b/CV-extended.bbl
deleted file mode 100644
index c1171fa..0000000
--- a/CV-extended.bbl
+++ /dev/null
@@ -1,579 +0,0 @@
-% $ biblatex auxiliary file $
-% $ biblatex bbl format version 2.9 $
-% Do not modify the above lines!
-%
-% This is an auxiliary file used by the 'biblatex' package.
-% This file may safely be deleted. It will be recreated as
-% required.
-%
-\begingroup
-\makeatletter
-\@ifundefined{ver@biblatex.sty}
-  {\@latex@error
-     {Missing 'biblatex' package}
-     {The bibliography requires the 'biblatex' package.}
-      \aftergroup\endinput}
-  {}
-\endgroup
-
-\datalist[entry]{ydnt/global//global/global}
-  \entry{Bukh2018a}{article}{}
-    \name{author}{2}{}{%
-      {{hash=BB}{%
-         family={Bukh},
-         familyi={B\bibinitperiod},
-         given={Boris},
-         giveni={B\bibinitperiod},
-      }}%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-    }
-    \keyw{sub}
-    \strng{namehash}{BBCC1}
-    \strng{fullhash}{BBCC1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{abstract}{%
-    How can $d+k$ vectors in $\mathbb{R}^d$ be arranged so that they are as
-  close to orthogonal as possible? In particular, define
-  $\theta(d,k):=\min_X\max_{x\neq y\in X}|\langle x,y\rangle|$ where the
-  minimum is taken over all collections of $d+k$ unit vectors
-  $X\subseteq\mathbb{R}^d$. In this paper, we focus on the case where $k$ is
-  fixed and $d\to\infty$. In establishing bounds on $\theta(d,k)$, we find an
-  intimate connection to the existence of systems of ${k+1\choose 2}$
-  equiangular lines in $\mathbb{R}^k$. Using this connection, we are able to
-  pin down $\theta(d,k)$ whenever $k\in\{1,2,3,7,23\}$ and establish
-  asymptotics for general $k$. The main tool is an upper bound on
-  $\mathbb{E}_{x,y\sim\mu}|\langle x,y\rangle|$ whenever $\mu$ is an isotropic
-  probability mass on $\mathbb{R}^k$, which may be of independent interest. Our
-  results translate naturally to the analogous question in $\mathbb{C}^d$. In
-  this case, the question relates to the existence of systems of $k^2$
-  equiangular lines in $\mathbb{C}^k$, also known as SIC-POVM in physics
-  literature.%
-    }
-    \verb{eprint}
-    \verb 1803.02949v1
-    \endverb
-    \field{title}{Nearly orthogonal vectors and small antipodal spherical
-  codes}
-    \verb{file}
-    \verb online:http\://arxiv.org/pdf/1803.02949v1:PDF
-    \endverb
-    \field{eprinttype}{arXiv}
-    \field{eprintclass}{math.CO}
-    \field{day}{08}
-    \field{month}{03}
-    \field{year}{2018}
-  \endentry
-
-  \entry{Bukh2018}{article}{}
-    \name{author}{2}{}{%
-      {{hash=BB}{%
-         family={Bukh},
-         familyi={B\bibinitperiod},
-         given={Boris},
-         giveni={B\bibinitperiod},
-      }}%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-    }
-    \keyw{sub}
-    \strng{namehash}{BBCC1}
-    \strng{fullhash}{BBCC1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{abstract}{%
-    In this note, we present a fractional version of Haemers' bound on the
-  Shannon capacity of a graph, which is originally due to Blasiak. This bound
-  is a common strengthening of both Haemers' bound and the fractional chromatic
-  number of a graph. We show that this fractional version outperforms any bound
-  on the Shannon capacity that could be attained through Haemers' bound. We
-  show also that this bound is multiplicative, unlike Haemers' bound.%
-    }
-    \verb{eprint}
-    \verb 1802.00476v1
-    \endverb
-    \field{title}{On a fractional version of {H}aemers' bound}
-    \verb{file}
-    \verb online:http\://arxiv.org/pdf/1802.00476v1:PDF
-    \endverb
-    \field{eprinttype}{arXiv}
-    \field{eprintclass}{cs.IT}
-    \field{day}{01}
-    \field{month}{02}
-    \field{year}{2018}
-  \endentry
-
-  \entry{Cox2018}{article}{}
-    \name{author}{2}{}{%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-      {{hash=SD}{%
-         family={Stolee},
-         familyi={S\bibinitperiod},
-         given={Derrick},
-         giveni={D\bibinitperiod},
-      }}%
-    }
-    \list{publisher}{1}{%
-      {Springer Nature}%
-    }
-    \keyw{app}
-    \strng{namehash}{CCSD1}
-    \strng{fullhash}{CCSD1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{title}{Ramsey Numbers for Partially-Ordered Sets}
-    \field{journaltitle}{Order}
-    \field{year}{2018}
-    \warn{\item Invalid format of field 'month'}
-  \endentry
-
-  \entry{BBCDLP15euler}{article}{}
-    \name{author}{6}{}{%
-      {{hash=BE}{%
-         family={Banaian},
-         familyi={B\bibinitperiod},
-         given={Esther},
-         giveni={E\bibinitperiod},
-      }}%
-      {{hash=BS}{%
-         family={Butler},
-         familyi={B\bibinitperiod},
-         given={Steve},
-         giveni={S\bibinitperiod},
-      }}%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-      {{hash=DJ}{%
-         family={Davis},
-         familyi={D\bibinitperiod},
-         given={Jeffrey},
-         giveni={J\bibinitperiod},
-      }}%
-      {{hash=LJ}{%
-         family={Landgraf},
-         familyi={L\bibinitperiod},
-         given={Jacob},
-         giveni={J\bibinitperiod},
-      }}%
-      {{hash=PS}{%
-         family={Ponce},
-         familyi={P\bibinitperiod},
-         given={Scarlitte},
-         giveni={S\bibinitperiod},
-      }}%
-    }
-    \keyw{pub}
-    \strng{namehash}{BEBSCC+1}
-    \strng{fullhash}{BEBSCCDJLJPS1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{number}{4}
-    \field{pages}{691\bibrangedash 705}
-    \field{title}{A generalization of {E}ulerian numbers via rook placements}
-    \verb{url}
-    \verb http://arxiv.org/abs/1508.03673
-    \endverb
-    \field{volume}{10}
-    \field{journaltitle}{Involve}
-    \field{month}{03}
-    \field{year}{2017}
-  \endentry
-
-  \entry{BCDHKLMMNPS15choose}{article}{}
-    \name{author}{11}{}{%
-      {{hash=BZ}{%
-         family={Berikkyzy},
-         familyi={B\bibinitperiod},
-         given={Zhanar},
-         giveni={Z\bibinitperiod},
-      }}%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-      {{hash=DM}{%
-         family={Dairyko},
-         familyi={D\bibinitperiod},
-         given={Michael},
-         giveni={M\bibinitperiod},
-      }}%
-      {{hash=HK}{%
-         family={Hogenson},
-         familyi={H\bibinitperiod},
-         given={Kirsten},
-         giveni={K\bibinitperiod},
-      }}%
-      {{hash=KM}{%
-         family={Kumbhat},
-         familyi={K\bibinitperiod},
-         given={Mohit},
-         giveni={M\bibinitperiod},
-      }}%
-      {{hash=LB}{%
-         family={Lidick{\'y}},
-         familyi={L\bibinitperiod},
-         given={Bernard},
-         giveni={B\bibinitperiod},
-      }}%
-      {{hash=MK}{%
-         family={Messerschmidt},
-         familyi={M\bibinitperiod},
-         given={Kacy},
-         giveni={K\bibinitperiod},
-      }}%
-      {{hash=MK}{%
-         family={Moss},
-         familyi={M\bibinitperiod},
-         given={Kevin},
-         giveni={K\bibinitperiod},
-      }}%
-      {{hash=NK}{%
-         family={Nowak},
-         familyi={N\bibinitperiod},
-         given={Kathleen},
-         giveni={K\bibinitperiod},
-      }}%
-      {{hash=PK}{%
-         family={Palmowski},
-         familyi={P\bibinitperiod},
-         given={Kevin},
-         giveni={K\bibinitperiod},
-      }}%
-      {{hash=SD}{%
-         family={Stolee},
-         familyi={S\bibinitperiod},
-         given={Derrick},
-         giveni={D\bibinitperiod},
-      }}%
-    }
-    \keyw{pub}
-    \strng{namehash}{BZCCDM+1}
-    \strng{fullhash}{BZCCDMHKKMLBMKMKNKPKSD1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{number}{4}
-    \field{pages}{751\bibrangedash 787}
-    \field{title}{{$(4,2)$}-choosability of planar graphs with forbidden
-  substructures}
-    \verb{url}
-    \verb http://arxiv.org/abs/1512.03787
-    \endverb
-    \field{volume}{33}
-    \field{journaltitle}{Graphs and Combinatorics}
-    \field{month}{07}
-    \field{year}{2017}
-  \endentry
-
-  \entry{briggscox17}{article}{}
-    \name{author}{2}{}{%
-      {{hash=BJ}{%
-         family={Briggs},
-         familyi={B\bibinitperiod},
-         given={Joseph},
-         giveni={J\bibinitperiod},
-      }}%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-    }
-    \keyw{sub}
-    \strng{namehash}{BJCC1}
-    \strng{fullhash}{BJCC1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{abstract}{%
-    Classical questions in extremal graph theory concern the asymptotics of
-  $\operatorname{ex}(G, \mathcal{H})$ where $\mathcal{H}$ is a fixed family of
-  graphs and $G=G_n$ is taken from a "standard" increasing sequence of host
-  graphs $(G_1, G_2, \dots)$, most often $K_n$ or $K_{n,n}$. Inverting the
-  question, we can instead ask how large $|E(G)|$ can be with respect to
-  $\operatorname{ex}(G,\mathcal{H})$. We show that the standard sequences
-  indeed maximize $|E(G)|$ for some choices of $\mathcal{H}$, but not for
-  others. Many interesting questions and previous results arise very naturally
-  in this context, which also, unusually, gives rise to sensible extremal
-  questions concerning multigraphs and non-uniform hypergraphs.%
-    }
-    \verb{eprint}
-    \verb 1711.02082v2
-    \endverb
-    \field{title}{Inverting the {T}ur{\' a}n problem}
-    \verb{file}
-    \verb online:http\://arxiv.org/pdf/1711.02082v2:PDF
-    \endverb
-    \field{eprinttype}{arXiv}
-    \field{eprintclass}{math.CO}
-    \field{day}{06}
-    \field{month}{11}
-    \field{year}{2017}
-  \endentry
-
-  \entry{BBCDLP15prime}{article}{}
-    \name{author}{6}{}{%
-      {{hash=BE}{%
-         family={Banaian},
-         familyi={B\bibinitperiod},
-         given={Esther},
-         giveni={E\bibinitperiod},
-      }}%
-      {{hash=BS}{%
-         family={Butler},
-         familyi={B\bibinitperiod},
-         given={Steve},
-         giveni={S\bibinitperiod},
-      }}%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-      {{hash=DJ}{%
-         family={Davis},
-         familyi={D\bibinitperiod},
-         given={Jeffrey},
-         giveni={J\bibinitperiod},
-      }}%
-      {{hash=LJ}{%
-         family={Landgraf},
-         familyi={L\bibinitperiod},
-         given={Jacob},
-         giveni={J\bibinitperiod},
-      }}%
-      {{hash=PS}{%
-         family={Ponce},
-         familyi={P\bibinitperiod},
-         given={Scarlitte},
-         giveni={S\bibinitperiod},
-      }}%
-    }
-    \keyw{pub}
-    \strng{namehash}{BEBSCC+1}
-    \strng{fullhash}{BEBSCCDJLJPS1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{number}{5}
-    \field{pages}{1675\bibrangedash 1688}
-    \field{title}{Counting prime juggling patterns}
-    \verb{url}
-    \verb http://arxiv.org/abs/1508.05296
-    \endverb
-    \field{volume}{32}
-    \field{journaltitle}{Graphs and Combinatorics}
-    \field{month}{09}
-    \field{year}{2016}
-  \endentry
-
-  \entry{CS16orram}{article}{}
-    \name{author}{2}{}{%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-      {{hash=SD}{%
-         family={Stolee},
-         familyi={S\bibinitperiod},
-         given={Derrick},
-         giveni={D\bibinitperiod},
-      }}%
-    }
-    \keyw{pub}
-    \strng{namehash}{CCSD1}
-    \strng{fullhash}{CCSD1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{abstract}{%
-    For a $k$-uniform hypergraph $G$ with vertex set $\{1,\ldots,n\}$, the
-  ordered Ramsey number $\OR{t}{G}$ is the least integer $N$ such that every
-  $t$-coloring of the edges of the complete $k$-uniform graph on vertex set
-  $\{1,\ldots,N\}$ contains a monochromatic copy of $G$ whose vertices follow
-  the prescribed order. Due to this added order restriction, the ordered Ramsey
-  numbers can be much larger than the usual graph Ramsey numbers. We determine
-  that the ordered Ramsey numbers of loose paths under a monotone order grows
-  as a tower of height two less than the maximum degree in terms of the number
-  of edges. We also extend theorems of Conlon, Fox, Lee, and Sudakov [Ordered
-  Ramsey numbers, arXiv:1410.5292] on the ordered Ramsey numbers of 2-uniform
-  matchings to provide upper bounds on the ordered Ramsey number of $k$-uniform
-  matchings under certain orderings.%
-    }
-    \field{number}{2}
-    \field{pages}{499\bibrangedash 505}
-    \field{title}{Ordered {R}amsey numbers of loose paths and matchings}
-    \verb{url}
-    \verb http://www.sciencedirect.com/science/article/pii/S0012365X15003477
-    \endverb
-    \field{volume}{339}
-    \field{journaltitle}{Discrete Mathematics}
-    \field{month}{02}
-    \field{year}{2016}
-  \endentry
-
-  \entry{CDDKRT15hanabi}{article}{}
-    \name{author}{6}{}{%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-      {{hash=DSJ}{%
-         family={De\bibnamedelima Silva},
-         familyi={D\bibinitperiod\bibinitdelim S\bibinitperiod},
-         given={Jessica},
-         giveni={J\bibinitperiod},
-      }}%
-      {{hash=DP}{%
-         family={DeOrsey},
-         familyi={D\bibinitperiod},
-         given={Philip},
-         giveni={P\bibinitperiod},
-      }}%
-      {{hash=KF}{%
-         family={Kenter},
-         familyi={K\bibinitperiod},
-         given={Franklin},
-         giveni={F\bibinitperiod},
-      }}%
-      {{hash=RT}{%
-         family={Retter},
-         familyi={R\bibinitperiod},
-         given={Troy},
-         giveni={T\bibinitperiod},
-      }}%
-      {{hash=TRJ}{%
-         family={Tobin},
-         familyi={T\bibinitperiod},
-         given={R.\bibnamedelima Joshua},
-         giveni={R\bibinitperiod\bibinitdelim J\bibinitperiod},
-      }}%
-    }
-    \keyw{pub}
-    \strng{namehash}{CCDSJDP+1}
-    \strng{fullhash}{CCDSJDPKFRTTRJ1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{abstract}{%
-    The game of \emph{Hanabi} is a multi-player cooperative card game which has
-  many similarities to a mathematical `hat guessing game.' In \emph{Hanabi},
-  players do not know the cards in their own hand and must rely on the actions
-  of the other players to communicate information. This paper presents two
-  strategies for \emph{Hanabi}. Results from computer simulation demonstrate
-  that both strategies perform well. In particular, one strategy achieves a
-  perfect score of 25 points 75 percent of the time.%
-    }
-    \field{number}{5}
-    \field{pages}{323\bibrangedash 336}
-    \field{title}{How to make the perfect fireworks display: {T}wo strategies
-  for {H}anabi}
-    \field{volume}{88}
-    \field{journaltitle}{Mathematics Magazine}
-    \field{month}{12}
-    \field{year}{2015}
-  \endentry
-
-  \entry{CFMR15potram}{article}{}
-    \name{author}{4}{}{%
-      {{hash=CC}{%
-         family={Cox},
-         familyi={C\bibinitperiod},
-         given={Christopher},
-         giveni={C\bibinitperiod},
-      }}%
-      {{hash=FM}{%
-         family={Ferrara},
-         familyi={F\bibinitperiod},
-         given={Michael},
-         giveni={M\bibinitperiod},
-      }}%
-      {{hash=MRR}{%
-         family={Martin},
-         familyi={M\bibinitperiod},
-         given={Ryan\bibnamedelima R.},
-         giveni={R\bibinitperiod\bibinitdelim R\bibinitperiod},
-      }}%
-      {{hash=RB}{%
-         family={Reineger},
-         familyi={R\bibinitperiod},
-         given={Benjamin},
-         giveni={B\bibinitperiod},
-      }}%
-    }
-    \strng{namehash}{CCFMMRR+1}
-    \strng{fullhash}{CCFMMRRRB1}
-    \field{labelnamesource}{author}
-    \field{labeltitlesource}{title}
-    \field{sortinit}{7}
-    \field{sortinithash}{7}
-    \field{abstract}{%
-    A sequence of nonnegative integers $\pi =(d_1,d_2,...,d_n)$ is {\it
-  graphic} if there is a (simple) graph $G$ of order $n$ having degree sequence
-  $\pi$. In this case, $G$ is said to {\it realize} or be a {\it realization
-  of} $\pi$. Given a graph $H$, a graphic sequence $\pi$ is \textit{potentially
-  $H$-graphic} if there is some realization of $\pi$ that contains $H$ as a
-  subgraph. In this paper, we consider a degree sequence analogue to classical
-  graph Ramsey numbers. For graphs $H_1$ and $H_2$, the
-  \textit{potential-Ramsey number} $\rpot(H_1,H_2)$ is the minimum integer $N$
-  such that for any $N$-term graphic sequence $\pi$, either $\pi$ is
-  potentially $H_1$-graphic or the complementary sequence
-  $\overline{\pi}=(N-1-d_N,\dots, N-1-d_1)$ is potentially $H_2$ graphic. We
-  prove that if $s\ge 2$ is an integer and $T_t$ is a tree of order $t\ge
-  9(s-2)$ and then $$\rpot(T_t, K_s) = t+s-2.$$ This result, which is best
-  possible up to the constant on $s-2$, is a degree sequence analogue to a
-  classical 1977 result of Chv\'{a}tal on the graph Ramsey number of trees vs.\
-  cliques. To obtain this theorem, we prove a sharp condition that ensures an
-  arbitrary graph packs with a forest, which is likely to be of independent
-  interest.%
-    }
-    \field{title}{Chv{\'a}tal-type results for degree sequence {R}amsey
-  numbers}
-    \verb{url}
-    \verb http://arxiv.org/abs/1510.04843
-    \endverb
-    \field{journaltitle}{Preprint available as arXiv:1510.04843}
-    \field{month}{05}
-    \field{year}{2015}
-  \endentry
-\enddatalist
-\endinput
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-  {\@latex@error

-     {Missing 'biblatex' package}

-     {The bibliography requires the 'biblatex' package.}

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-  {}

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-\datalist[entry]{ydnt/global//global/global}

-  \entry{Bukh2018a}{article}{}

-    \name{author}{2}{}{%

-      {{hash=BB}{%

-         family={Bukh},

-         familyi={B\bibinitperiod},

-         given={Boris},

-         giveni={B\bibinitperiod},

-      }}%

-      {{hash=CC}{%

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-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-    }

-    \keyw{sub}

-    \strng{namehash}{BBCC1}

-    \strng{fullhash}{BBCC1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{abstract}{%

-    How can $d+k$ vectors in $\mathbb{R}^d$ be arranged so that they are as

-  close to orthogonal as possible? In particular, define

-  $\theta(d,k):=\min_X\max_{x\neq y\in X}|\langle x,y\rangle|$ where the

-  minimum is taken over all collections of $d+k$ unit vectors

-  $X\subseteq\mathbb{R}^d$. In this paper, we focus on the case where $k$ is

-  fixed and $d\to\infty$. In establishing bounds on $\theta(d,k)$, we find an

-  intimate connection to the existence of systems of ${k+1\choose 2}$

-  equiangular lines in $\mathbb{R}^k$. Using this connection, we are able to

-  pin down $\theta(d,k)$ whenever $k\in\{1,2,3,7,23\}$ and establish

-  asymptotics for general $k$. The main tool is an upper bound on

-  $\mathbb{E}_{x,y\sim\mu}|\langle x,y\rangle|$ whenever $\mu$ is an isotropic

-  probability mass on $\mathbb{R}^k$, which may be of independent interest. Our

-  results translate naturally to the analogous question in $\mathbb{C}^d$. In

-  this case, the question relates to the existence of systems of $k^2$

-  equiangular lines in $\mathbb{C}^k$, also known as SIC-POVM in physics

-  literature.%

-    }

-    \verb{eprint}

-    \verb 1803.02949v1

-    \endverb

-    \field{title}{Nearly orthogonal vectors and small antipodal spherical

-  codes}

-    \verb{file}

-    \verb online:http\://arxiv.org/pdf/1803.02949v1:PDF

-    \endverb

-    \field{eprinttype}{arXiv}

-    \field{eprintclass}{math.CO}

-    \field{day}{08}

-    \field{month}{03}

-    \field{year}{2018}

-  \endentry

-

-  \entry{Bukh2018}{article}{}

-    \name{author}{2}{}{%

-      {{hash=BB}{%

-         family={Bukh},

-         familyi={B\bibinitperiod},

-         given={Boris},

-         giveni={B\bibinitperiod},

-      }}%

-      {{hash=CC}{%

-         family={Cox},

-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-    }

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-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{abstract}{%

-    In this note, we present a fractional version of Haemers' bound on the

-  Shannon capacity of a graph, which is originally due to Blasiak. This bound

-  is a common strengthening of both Haemers' bound and the fractional chromatic

-  number of a graph. We show that this fractional version outperforms any bound

-  on the Shannon capacity that could be attained through Haemers' bound. We

-  show also that this bound is multiplicative, unlike Haemers' bound.%

-    }

-    \verb{eprint}

-    \verb 1802.00476v1

-    \endverb

-    \field{title}{On a fractional version of {H}aemers' bound}

-    \verb{file}

-    \verb online:http\://arxiv.org/pdf/1802.00476v1:PDF

-    \endverb

-    \field{eprinttype}{arXiv}

-    \field{eprintclass}{cs.IT}

-    \field{day}{01}

-    \field{month}{02}

-    \field{year}{2018}

-  \endentry

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-      {{hash=CC}{%

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-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-      {{hash=SD}{%

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-         familyi={S\bibinitperiod},

-         given={Derrick},

-         giveni={D\bibinitperiod},

-      }}%

-    }

-    \list{publisher}{1}{%

-      {Springer Nature}%

-    }

-    \keyw{app}

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-    \strng{fullhash}{CCSD1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{title}{Ramsey Numbers for Partially-Ordered Sets}

-    \field{journaltitle}{Order}

-    \field{year}{2018}

-    \warn{\item Invalid format of field 'month'}

-  \endentry

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-         given={Esther},

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-         familyi={B\bibinitperiod},

-         given={Steve},

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-      }}%

-      {{hash=LJ}{%

-         family={Landgraf},

-         familyi={L\bibinitperiod},

-         given={Jacob},

-         giveni={J\bibinitperiod},

-      }}%

-      {{hash=PS}{%

-         family={Ponce},

-         familyi={P\bibinitperiod},

-         given={Scarlitte},

-         giveni={S\bibinitperiod},

-      }}%

-    }

-    \keyw{pub}

-    \strng{namehash}{BEBSCC+1}

-    \strng{fullhash}{BEBSCCDJLJPS1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{number}{4}

-    \field{pages}{691\bibrangedash 705}

-    \field{title}{A generalization of {E}ulerian numbers via rook placements}

-    \verb{url}

-    \verb http://arxiv.org/abs/1508.03673

-    \endverb

-    \field{volume}{10}

-    \field{journaltitle}{Involve}

-    \field{month}{03}

-    \field{year}{2017}

-  \endentry

-

-  \entry{BCDHKLMMNPS15choose}{article}{}

-    \name{author}{11}{}{%

-      {{hash=BZ}{%

-         family={Berikkyzy},

-         familyi={B\bibinitperiod},

-         given={Zhanar},

-         giveni={Z\bibinitperiod},

-      }}%

-      {{hash=CC}{%

-         family={Cox},

-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-      {{hash=DM}{%

-         family={Dairyko},

-         familyi={D\bibinitperiod},

-         given={Michael},

-         giveni={M\bibinitperiod},

-      }}%

-      {{hash=HK}{%

-         family={Hogenson},

-         familyi={H\bibinitperiod},

-         given={Kirsten},

-         giveni={K\bibinitperiod},

-      }}%

-      {{hash=KM}{%

-         family={Kumbhat},

-         familyi={K\bibinitperiod},

-         given={Mohit},

-         giveni={M\bibinitperiod},

-      }}%

-      {{hash=LB}{%

-         family={Lidick{\'y}},

-         familyi={L\bibinitperiod},

-         given={Bernard},

-         giveni={B\bibinitperiod},

-      }}%

-      {{hash=MK}{%

-         family={Messerschmidt},

-         familyi={M\bibinitperiod},

-         given={Kacy},

-         giveni={K\bibinitperiod},

-      }}%

-      {{hash=MK}{%

-         family={Moss},

-         familyi={M\bibinitperiod},

-         given={Kevin},

-         giveni={K\bibinitperiod},

-      }}%

-      {{hash=NK}{%

-         family={Nowak},

-         familyi={N\bibinitperiod},

-         given={Kathleen},

-         giveni={K\bibinitperiod},

-      }}%

-      {{hash=PK}{%

-         family={Palmowski},

-         familyi={P\bibinitperiod},

-         given={Kevin},

-         giveni={K\bibinitperiod},

-      }}%

-      {{hash=SD}{%

-         family={Stolee},

-         familyi={S\bibinitperiod},

-         given={Derrick},

-         giveni={D\bibinitperiod},

-      }}%

-    }

-    \keyw{pub}

-    \strng{namehash}{BZCCDM+1}

-    \strng{fullhash}{BZCCDMHKKMLBMKMKNKPKSD1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{number}{4}

-    \field{pages}{751\bibrangedash 787}

-    \field{title}{{$(4,2)$}-choosability of planar graphs with forbidden

-  substructures}

-    \verb{url}

-    \verb http://arxiv.org/abs/1512.03787

-    \endverb

-    \field{volume}{33}

-    \field{journaltitle}{Graphs and Combinatorics}

-    \field{month}{07}

-    \field{year}{2017}

-  \endentry

-

-  \entry{briggscox17}{article}{}

-    \name{author}{2}{}{%

-      {{hash=BJ}{%

-         family={Briggs},

-         familyi={B\bibinitperiod},

-         given={Joseph},

-         giveni={J\bibinitperiod},

-      }}%

-      {{hash=CC}{%

-         family={Cox},

-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-    }

-    \keyw{sub}

-    \strng{namehash}{BJCC1}

-    \strng{fullhash}{BJCC1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{abstract}{%

-    Classical questions in extremal graph theory concern the asymptotics of

-  $\operatorname{ex}(G, \mathcal{H})$ where $\mathcal{H}$ is a fixed family of

-  graphs and $G=G_n$ is taken from a "standard" increasing sequence of host

-  graphs $(G_1, G_2, \dots)$, most often $K_n$ or $K_{n,n}$. Inverting the

-  question, we can instead ask how large $|E(G)|$ can be with respect to

-  $\operatorname{ex}(G,\mathcal{H})$. We show that the standard sequences

-  indeed maximize $|E(G)|$ for some choices of $\mathcal{H}$, but not for

-  others. Many interesting questions and previous results arise very naturally

-  in this context, which also, unusually, gives rise to sensible extremal

-  questions concerning multigraphs and non-uniform hypergraphs.%

-    }

-    \verb{eprint}

-    \verb 1711.02082v2

-    \endverb

-    \field{title}{Inverting the {T}ur{\' a}n problem}

-    \verb{file}

-    \verb online:http\://arxiv.org/pdf/1711.02082v2:PDF

-    \endverb

-    \field{eprinttype}{arXiv}

-    \field{eprintclass}{math.CO}

-    \field{day}{06}

-    \field{month}{11}

-    \field{year}{2017}

-  \endentry

-

-  \entry{BBCDLP15prime}{article}{}

-    \name{author}{6}{}{%

-      {{hash=BE}{%

-         family={Banaian},

-         familyi={B\bibinitperiod},

-         given={Esther},

-         giveni={E\bibinitperiod},

-      }}%

-      {{hash=BS}{%

-         family={Butler},

-         familyi={B\bibinitperiod},

-         given={Steve},

-         giveni={S\bibinitperiod},

-      }}%

-      {{hash=CC}{%

-         family={Cox},

-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-      {{hash=DJ}{%

-         family={Davis},

-         familyi={D\bibinitperiod},

-         given={Jeffrey},

-         giveni={J\bibinitperiod},

-      }}%

-      {{hash=LJ}{%

-         family={Landgraf},

-         familyi={L\bibinitperiod},

-         given={Jacob},

-         giveni={J\bibinitperiod},

-      }}%

-      {{hash=PS}{%

-         family={Ponce},

-         familyi={P\bibinitperiod},

-         given={Scarlitte},

-         giveni={S\bibinitperiod},

-      }}%

-    }

-    \keyw{pub}

-    \strng{namehash}{BEBSCC+1}

-    \strng{fullhash}{BEBSCCDJLJPS1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{number}{5}

-    \field{pages}{1675\bibrangedash 1688}

-    \field{title}{Counting prime juggling patterns}

-    \verb{url}

-    \verb http://arxiv.org/abs/1508.05296

-    \endverb

-    \field{volume}{32}

-    \field{journaltitle}{Graphs and Combinatorics}

-    \field{month}{09}

-    \field{year}{2016}

-  \endentry

-

-  \entry{CS16orram}{article}{}

-    \name{author}{2}{}{%

-      {{hash=CC}{%

-         family={Cox},

-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-      {{hash=SD}{%

-         family={Stolee},

-         familyi={S\bibinitperiod},

-         given={Derrick},

-         giveni={D\bibinitperiod},

-      }}%

-    }

-    \keyw{pub}

-    \strng{namehash}{CCSD1}

-    \strng{fullhash}{CCSD1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{abstract}{%

-    For a $k$-uniform hypergraph $G$ with vertex set $\{1,\ldots,n\}$, the

-  ordered Ramsey number $\OR{t}{G}$ is the least integer $N$ such that every

-  $t$-coloring of the edges of the complete $k$-uniform graph on vertex set

-  $\{1,\ldots,N\}$ contains a monochromatic copy of $G$ whose vertices follow

-  the prescribed order. Due to this added order restriction, the ordered Ramsey

-  numbers can be much larger than the usual graph Ramsey numbers. We determine

-  that the ordered Ramsey numbers of loose paths under a monotone order grows

-  as a tower of height two less than the maximum degree in terms of the number

-  of edges. We also extend theorems of Conlon, Fox, Lee, and Sudakov [Ordered

-  Ramsey numbers, arXiv:1410.5292] on the ordered Ramsey numbers of 2-uniform

-  matchings to provide upper bounds on the ordered Ramsey number of $k$-uniform

-  matchings under certain orderings.%

-    }

-    \field{number}{2}

-    \field{pages}{499\bibrangedash 505}

-    \field{title}{Ordered {R}amsey numbers of loose paths and matchings}

-    \verb{url}

-    \verb http://www.sciencedirect.com/science/article/pii/S0012365X15003477

-    \endverb

-    \field{volume}{339}

-    \field{journaltitle}{Discrete Mathematics}

-    \field{month}{02}

-    \field{year}{2016}

-  \endentry

-

-  \entry{CDDKRT15hanabi}{article}{}

-    \name{author}{6}{}{%

-      {{hash=CC}{%

-         family={Cox},

-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-      {{hash=DSJ}{%

-         family={De\bibnamedelima Silva},

-         familyi={D\bibinitperiod\bibinitdelim S\bibinitperiod},

-         given={Jessica},

-         giveni={J\bibinitperiod},

-      }}%

-      {{hash=DP}{%

-         family={DeOrsey},

-         familyi={D\bibinitperiod},

-         given={Philip},

-         giveni={P\bibinitperiod},

-      }}%

-      {{hash=KF}{%

-         family={Kenter},

-         familyi={K\bibinitperiod},

-         given={Franklin},

-         giveni={F\bibinitperiod},

-      }}%

-      {{hash=RT}{%

-         family={Retter},

-         familyi={R\bibinitperiod},

-         given={Troy},

-         giveni={T\bibinitperiod},

-      }}%

-      {{hash=TRJ}{%

-         family={Tobin},

-         familyi={T\bibinitperiod},

-         given={R.\bibnamedelima Joshua},

-         giveni={R\bibinitperiod\bibinitdelim J\bibinitperiod},

-      }}%

-    }

-    \keyw{pub}

-    \strng{namehash}{CCDSJDP+1}

-    \strng{fullhash}{CCDSJDPKFRTTRJ1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{abstract}{%

-    The game of \emph{Hanabi} is a multi-player cooperative card game which has

-  many similarities to a mathematical `hat guessing game.' In \emph{Hanabi},

-  players do not know the cards in their own hand and must rely on the actions

-  of the other players to communicate information. This paper presents two

-  strategies for \emph{Hanabi}. Results from computer simulation demonstrate

-  that both strategies perform well. In particular, one strategy achieves a

-  perfect score of 25 points 75 percent of the time.%

-    }

-    \field{number}{5}

-    \field{pages}{323\bibrangedash 336}

-    \field{title}{How to make the perfect fireworks display: {T}wo strategies

-  for {H}anabi}

-    \field{volume}{88}

-    \field{journaltitle}{Mathematics Magazine}

-    \field{month}{12}

-    \field{year}{2015}

-  \endentry

-

-  \entry{CFMR15potram}{article}{}

-    \name{author}{4}{}{%

-      {{hash=CC}{%

-         family={Cox},

-         familyi={C\bibinitperiod},

-         given={Christopher},

-         giveni={C\bibinitperiod},

-      }}%

-      {{hash=FM}{%

-         family={Ferrara},

-         familyi={F\bibinitperiod},

-         given={Michael},

-         giveni={M\bibinitperiod},

-      }}%

-      {{hash=MRR}{%

-         family={Martin},

-         familyi={M\bibinitperiod},

-         given={Ryan\bibnamedelima R.},

-         giveni={R\bibinitperiod\bibinitdelim R\bibinitperiod},

-      }}%

-      {{hash=RB}{%

-         family={Reineger},

-         familyi={R\bibinitperiod},

-         given={Benjamin},

-         giveni={B\bibinitperiod},

-      }}%

-    }

-    \strng{namehash}{CCFMMRR+1}

-    \strng{fullhash}{CCFMMRRRB1}

-    \field{labelnamesource}{author}

-    \field{labeltitlesource}{title}

-    \field{sortinit}{7}

-    \field{sortinithash}{7}

-    \field{abstract}{%

-    A sequence of nonnegative integers $\pi =(d_1,d_2,...,d_n)$ is {\it

-  graphic} if there is a (simple) graph $G$ of order $n$ having degree sequence

-  $\pi$. In this case, $G$ is said to {\it realize} or be a {\it realization

-  of} $\pi$. Given a graph $H$, a graphic sequence $\pi$ is \textit{potentially

-  $H$-graphic} if there is some realization of $\pi$ that contains $H$ as a

-  subgraph. In this paper, we consider a degree sequence analogue to classical

-  graph Ramsey numbers. For graphs $H_1$ and $H_2$, the

-  \textit{potential-Ramsey number} $\rpot(H_1,H_2)$ is the minimum integer $N$

-  such that for any $N$-term graphic sequence $\pi$, either $\pi$ is

-  potentially $H_1$-graphic or the complementary sequence

-  $\overline{\pi}=(N-1-d_N,\dots, N-1-d_1)$ is potentially $H_2$ graphic. We

-  prove that if $s\ge 2$ is an integer and $T_t$ is a tree of order $t\ge

-  9(s-2)$ and then $$\rpot(T_t, K_s) = t+s-2.$$ This result, which is best

-  possible up to the constant on $s-2$, is a degree sequence analogue to a

-  classical 1977 result of Chv\'{a}tal on the graph Ramsey number of trees vs.\

-  cliques. To obtain this theorem, we prove a sharp condition that ensures an

-  arbitrary graph packs with a forest, which is likely to be of independent

-  interest.%

-    }

-    \field{title}{Chv{\'a}tal-type results for degree sequence {R}amsey

-  numbers}

-    \verb{url}

-    \verb http://arxiv.org/abs/1510.04843

-    \endverb

-    \field{journaltitle}{Preprint available as arXiv:1510.04843}

-    \field{month}{05}

-    \field{year}{2015}

-  \endentry

-\enddatalist

-\endinput

diff --git a/CurrentCV.blg b/CurrentCV.blg
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-    <requires type="editable">
-      <file>publications.bib</file>
-    </requires>
-    <requires type="static">
-      <file>biblatex.bst</file>
-    </requires>
-  </external>
-</requests>
diff --git a/CurrentCV.synctex.gz b/CurrentCV.synctex.gz
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-%% start of file `template.tex'.
-%% Copyright 2006-2013 Xavier Danaux (xdanaux@gmail.com).
-%
-% This work may be distributed and/or modified under the
-% conditions of the LaTeX Project Public License version 1.3c,
-% available at http://www.latex-project.org/lppl/.
-
-
-\documentclass[11pt,letterpaper,roman]{moderncv}        % possible options include font size ('10pt', '11pt' and '12pt'), paper size ('a4paper', 'letterpaper', 'a5paper', 'legalpaper', 'executivepaper' and 'landscape') and font family ('sans' and 'roman')
-
-% moderncv themes
-\moderncvstyle{classic}                             % style options are 'casual' (default), 'classic', 'oldstyle' and 'banking'
-\moderncvcolor{black}                               % color options 'blue' (default), 'orange', 'green', 'red', 'purple', 'grey' and 'black'
-%\renewcommand{\familydefault}{\sfdefault}         % to set the default font; use '\sfdefault' for the default sans serif font, '\rmdefault' for the default roman one, or any tex font name
-%\nopagenumbers{}                                  % uncomment to suppress automatic page numbering for CVs longer than one page
-
-\usepackage[utf8]{inputenc} 
-\usepackage[scale=0.75]{geometry}
-\usepackage{url}
-%\usepackage{databib}
-\newcommand{\verskip}{\vspace{5pt}}
-
-%\makeatletter
-%\def\@biblabel#1{}
-%\makeatother
-
-
-\usepackage[style=ieee,
-backend=bibtex8,
-sorting=ydnt,
-url=false,
-%firstinits=true,
-%bibstyle=authortitle
-]{biblatex}
-\addbibresource{publications.bib}
-
-\DeclareFieldFormat{labelnumberwidth}{}
-\setlength{\biblabelsep}{73pt}
-
-
-
-\name{Christopher}{Cox}
-\title{Curriculum Vit\ae{}}
-\address{6201 Wean Hall}{Carnegie Mellon University}{Pittsburgh, PA 15213}% optional, remove / comment the line if not wanted; the "postcode city" and and "country" arguments can be omitted or provided empty
-%\phone[mobile]{+1~(234)~567~890}                   % optional, remove / comment the line if not wanted
-%\phone[fixed]{+2~(345)~678~901}                    % optional, remove / comment the line if not wanted
-%\phone[fax]{+3~(456)~789~012}                      % optional, remove / comment the line if not wanted
-%\email{cocox@andrew.cmu.edu}
-%\homepage{math.cmu.edu/~cocox/}
-\extrainfo{\texttt{cocox@andrew.cmu.edu}\\
-\texttt{\url{math.cmu.edu/~cocox/}}}                % optional, remove / comment the line if not wanted
-%\photo[64pt][0.4pt]{picture}                       % optional, remove / comment the line if not wanted; '64pt' is the height the picture must be resized to, 0.4pt is the thickness of the frame around it (put it to 0pt for no frame) and 'picture' is the name of the picture file
-%\quote{Some quote}                                 % optional, remove / comment the line if not wanted
-
-% to show numerical labels in the bibliography (default is to show no labels); only useful if you make citations in your resume
-%\makeatletter
-%\renewcommand*{\bibliographyitemlabel}{\@biblabel{\arabic{enumiv}}}
-%\makeatother
-%\renewcommand*{\bibliographyitemlabel}{[\arabic{enumiv}]}% CONSIDER REPLACING THE ABOVE BY THIS
-
-% bibliography with mutiple entries
-%\usepackage{multibib}
-%\newcites{pub,sub,app}{{Published},{Submitted},{To Appear}}
-%----------------------------------------------------------------------------------
-%            content
-%----------------------------------------------------------------------------------
-\begin{document}
-%\begin{CJK*}{UTF8}{gbsn}                          % to typeset your resume in Chinese using CJK
-%-----       resume       ---------------------------------------------------------
-\makecvtitle\hrule\hrule\hrule
-
-\section{\scshape{Research Interests}}
-\cvitem{}{Extremal combinatorics, probablilistic methods, graph theory, partially-ordered sets.}
-
-\section{\scshape{Education}}
-\cventry{Current}{Doctor of Philosophy}{Carnegie Mellon University}{Pittsburgh, PA}{}{Algorithms, Combinatorics and Optimization.
-%Dissertation:\\
-%Major Professor:
-}
-
-\cventry{2015}{Master of Science}{Iowa State University}{Ames, IA}{}{Mathematics.\\
-Thesis: \textit{Ordered and partially-ordered variants of Ramsey's theorem}.\\ 
-Major Professor: Derrick Stolee.}
-
-
-\cventry{2014}{Bachelor of Science}{Iowa State University}{Ames, IA}{}{Mathematics. \\
-Thesis: \textit{Isospectral drums and cospectral graphs}.\\
-Thesis Advisor: Steve Butler.}
-
-
-
-\section{\scshape{Academic Positions}}
-\cventry{2015--Cur}{Teaching Assistant}{Carnegie Mellon University}{Pittsburgh, PA}{}{
-Instructor -- Concepts of Mathematics (21-127)\\
-TA -- Matrix Theory (21-242), Multidimensional Calculus (21-268), Calculus I (21-115), Discrete Mathematics (21-228), Concepts of Mathematics (21-127)}
-\cventry{June--July 2015}{REU Graduate Research Mentor}{Iowa State University}{Ames, IA}{}{
-Worked with four undergraduate students on problems in the area of mathematical juggling. The papers ``A generalization
-of eulerian numbers via rook placements'' and ``Counting
-prime juggling patterns'' are a result of this research workshop.}
-\cventry{2014--2015}{Teaching Assistant}{Iowa State University}{Ames, IA}{}{
-TA --  Elementary Differential Equations (MATH 267), Calculus I (MATH 165)}
-
-%%\nocite{*}
-%%\DTLloadbbl{mybib}{publications}
-%%\DTLsort{Year=descending}{mybib}
-%%\DTLbibliography{mybib}
-%
-%\printbibliography[keyword=sub]
-%%
-%%\printbibliography[keyword=acc,title={\scshape{To appear}}]
-
-\section{\scshape{Publications}}
-\nocite{*}
-
-%\subsection{\scshape{To Appear}}
-%\cvitem{}{C.\ Cox, J.\ De Silva, P.\ DeOrsey, F.\ Kenter, T.\ Retter and R.J.\ Tobin. How to make the perfect fireworks display: Two strategies for Hanabi. To appear in \textit{Mathematics Magazine}.}
-%\verskip
-\printbibliography[title={To Appear},heading=subbibliography,keyword=app]
-
-
-
-%\subsection{\scshape{Published}}
-
-%\cvitem{}{C.\ Cox and D.\ Stolee. Ordered Ramsey numbers of loose paths and matchings. To appear in \textit{Discrete Mathematics}. Preprint available as arXiv:1411.4058.}
-
-\printbibliography[title={\scshape{Published}},heading=subbibliography,keyword=pub]
-
-%\subsection{\scshape{Submitted}}
-
-%\cvitem{}{C.\ Cox and D.\ Stolee. Ramsey numbers for partially-ordered sets. Submitted. Preprint available as arXiv: .}
-%\verskip
-%
-%\cvitem{}{Z.\ Berikkyzy, C.\ Cox, M.\ Dairyko, K.\ Hogenson, M.\ Kumbhat, B.\ Lidick\'y, K.\ Messerschmidt, K.\ Moss, K.\ Nowak, K.\ Palmowski and D.\ Stolee. $(4,2)$-choosability of planar graphs with forbidden structures. Submitted.}
-%\verskip
-%
-%\cvitem{}{E.\ Banaian, S.\ Butler, C.\ Cox, J.\ Davis, J.\ Landgraf and S.\ Ponce. Counting prime juggling patterns. Submitted. Preprint available as arXiv:1508.05296.}
-%\verskip
-%
-%\cvitem{}{E.\ Banaian, S.\ Butler, C.\ Cox, J.\ Davis, J.\ Landgraf and S.\ Ponce. A generalization of Eulerian numbers via rook placements. Submitted. Preprint available as arXiv:1508.03673.}
-%\verskip
-%
-%\cvitem{}{C.\ Cox, M.\ Ferrara, R.R.\ Martin and B.\ Reiniger. Chv\'atal-type results for degree sequence Ramsey numbers. Submitted. Preprint available as arXiv:1510.04843.}
-
-
-\printbibliography[title={\scshape{Submitted}},heading=subbibliography,keyword=sub]
-
-
-
-
-\section{\scshape{Presentations}}
-
-\subsection{\scshape{Invited}}
-\cvitem{}{Ramsey numbers on the Boolean lattice. \textit{AMS Special Session on Structural and Computational Graph Theory}. Raleigh, NC, Nov.\ 2016.}
-
-
-\cvitem{}{Ramsey numbers for partially-ordered sets. \textit{Carnegie Mellon University Algorithms, Combinatorics and Optimization Seminar}. Pittsburgh, PA, Feb.\ 2016.}
-
-\cvitem{}{Coupled choosability with separation. \textit{Rocky Mountain--Great Plains Graduate Research Workshop in Combinatorics}. Ames, IA, June 2015.}
-\verskip
-
-\cvitem{}{Ramsey numbers of ordered hypergraphs. \textit{AMS Special Session on Extremal and Stuctural Graph Theory}. Las Vegas, NV, April 2015.}
-\verskip
-
-\cvitem{}{Ramsey numbers of ordered hypergraphs. \textit{University of Colorado Denver Discrete Mathematics Seminar}. Denver, CO, March 2015.}
-\verskip
-
-\cvitem{}{Ordered Ramsey numbers of loose paths and $k$-uniform matchings. \textit{Iowa State University Discrete Mathematics Seminar}. Ames, IA, Oct.\ 2014.}
-\verskip
-
-\cvitem{}{Potential Ramsey numbers. \textit{Rocky Mountain--Great Plains Graduate Research Workshop in Combinatorics}. Denver, CO, July 2014.}
-
-
-
-\subsection{\scshape{Contributed}}
-
-\cvitem{}{A degree sequence variant of Ramsey's theorem. \textit{Connections in Discrete Mathematics}. Vancouver, Canada, June 2015.}
-\verskip
-
-\cvitem{}{Normally regular digraphs resulting from Cayley graphs. \textit{SACNAS National Conference}. San Antonio, TX, Oct.\ 2013.}
-\verskip
-
-\cvitem{}{Isospectral drums and cospectral graphs. \textit{MAA Mathfest}. Hartford, CT, Aug.\ 2013.}
-\verskip
-
-\cvitem{}{Isospectrality in Euclidean $3$-space. \textit{Midwest Undergraduate Mathematics Symposium}. Indianola, IA, April 2012.}
-
-\subsection{\scshape{Non-Conference/Non-Seminar}}
-
-\cvitem{}{Hat guessing games and applications. \textit{Western PA ARML}. Pittsburgh, PA, January 2016.}
-
-\cvitem{}{The mathematics of juggling. \textit{Western PA ARML}. Pittsburgh, PA, September 2015.}
-
-\cvitem{}{Ordered and partially-ordered variants of Ramsey's theorem. \textit{Master's Defense}. Ames, IA, May 2015.}
-
-\cvitem{}{Isospectral drums and cospectral graphs. \textit{Undergraduate Thesis Defense}. Ames, IA, May 2014.}
-
-\section{\scshape{Workshops}}
-
-\cventry{June 2017}{Summer School on Random Graphs and Probabilistic Methods}{The Fields Institute}{Toronto, CA}{}{Attended a two week summer school comprised of four lecture series: Ten Lectures on Random Graphs, Ten Lectures on Random Graph Processes, Random Spanning Trees and Forests, and Randomness For and Against Computation.}
-
-\cventry{June 2015}{Graduate Research Workshop in Combinatorics (GRWC)}{Iowa State University}{Ames, IA}{}{
-Participated in an experimental research program for graduate students in discrete mathematics (see \url{https://sites.google.com/site/rmgpgrwc/}). The program consisted of about 35 graduate students in addition to faculty and postdocs working on problems presented by the students. Many collaborations have continued to be productive outside the workshop.}
-
-\cventry{2014--2015}{Discrete Mathematics Working Seminar}{Iowa State University}{Ames, IA}{}{
-Worked with a group of graduate students, postdocs and professors on research problems in discrete mathematics. This collaboration has resulted in the paper \emph{$(4,2)$-choosability of planar graphs with forbidden structures}.}
-
-\cventry{July--Aug 2014}{Graduate Research Workshop in Combinatorics (GRWC)}{University of Denver and University of Colorado Denver}{Denver, CO}{}{
-Participated in an experimental research program for graduate students in discrete mathematics (see \url{https://sites.google.com/site/rmgpgrwc/}). The program consisted of about 30 graduate students in addition to faculty and postdocs working on problems presented by the students. Many collaborations have continued to be productive outside the workshop.}
-
-\cventry{June--Aug 2013}{NSF REU}{Iowa State University}{Ames, IA}{}{
-Worked under the direction of Sung-Yell Song on projects in algebraic graph theory, focusing on the classification of Cayley graphs and the construction of normally regular digraphs.}
-
-%\section{\scshape{Professional Responsibilities}}
-%
-%\cvitem{}{Referee for \emph{Combinatorica} and \emph{Journal of Combinatorial Theory, Ser.\ B} for a total of 2 reviews.}
-
-%\subsection{\scshape{Employment}}
-%
-%\cventry{2015--Cur}{Teaching Assistant}{Carnegie Mellon University}{Pittsburgh, PA}{}{
-%}
-%
-%\cventry{June--Aug 2015}{REU Graduate Research Mentor}{Iowa State University}{Ames, IA}{}{
-%}
-%
-%\cventry{2014--2015}{Teaching Assistant}{Iowa State University}{Ames, IA}{}{
-%Worked as a teaching assistant for large lectures of Calculus I and Differential Equations, which included teaching weekly recitation sections and grading.}
-%
-%\cventry{2012--2015}{Math Help Room Employee}{Iowa State University}{Ames, IA}{}{
-%Worked in the Math Help Room, which offers homework help to students in undergraduate mathematics courses.}
-%
-%\cventry{2012--2014}{Tutor}{Iowa State University}{Ames, IA}{}{
-%Worked as a group tutor, with groups of sizes between 3 and 7, for undergraduate mathematics courses including Calculus I and II, Multivariable Calculus, Ordinary Differential Equations, Proofs, Linear Algebra, Abstract Algebra, and Real Analysis.}
-
-
-
-
-% Publications from a BibTeX file without multibib
-%  for numerical labels: \renewcommand{\bibliographyitemlabel}{\@biblabel{\arabic{enumiv}}}% CONSIDER MERGING WITH PREAMBLE PART
-%  to redefine the heading string ("Publications"): \renewcommand{\refname}{Articles}                        % 'publications' is the name of a BibTeX file
-
-% Publications from a BibTeX file using the multibib package
-%\section{Publications}
-%\nocitebook{book1,book2}
-%\bibliographystylebook{plain}
-%\bibliographybook{publications}                   % 'publications' is the name of a BibTeX file
-%\nocitemisc{misc1,misc2,misc3}
-%\bibliographystylemisc{plain}
-%\bibliographymisc{publications}                   % 'publications' is the name of a BibTeX file
-
-%\clearpage
-%%-----       letter       ---------------------------------------------------------
-%% recipient data
-%\recipient{Company Recruitment team}{Company, Inc.\\123 somestreet\\some city}
-%\date{\today}
-%\opening{Dear Sir or Madam,}
-%\closing{Yours faithfully,}
-%\enclosure[Attached]{curriculum vit\ae{}}          % use an optional argument to use a string other than "Enclosure", or redefine \enclname
-%\makelettertitle
-
-%Lorem ipsum dolor sit amet, consectetur adipiscing elit. Duis ullamcorper neque sit amet lectus facilisis sed luctus nisl iaculis. Vivamus at neque arcu, sed tempor quam. Curabitur pharetra tincidunt tincidunt. Morbi volutpat feugiat mauris, quis tempor neque vehicula volutpat. Duis tristique justo vel massa fermentum accumsan. Mauris ante elit, feugiat vestibulum tempor eget, eleifend ac ipsum. Donec scelerisque lobortis ipsum eu vestibulum. Pellentesque vel massa at felis accumsan rhoncus.
-%
-%Suspendisse commodo, massa eu congue tincidunt, elit mauris pellentesque orci, cursus tempor odio nisl euismod augue. Aliquam adipiscing nibh ut odio sodales et pulvinar tortor laoreet. Mauris a accumsan ligula. Class aptent taciti sociosqu ad litora torquent per conubia nostra, per inceptos himenaeos. Suspendisse vulputate sem vehicula ipsum varius nec tempus dui dapibus. Phasellus et est urna, ut auctor erat. Sed tincidunt odio id odio aliquam mattis. Donec sapien nulla, feugiat eget adipiscing sit amet, lacinia ut dolor. Phasellus tincidunt, leo a fringilla consectetur, felis diam aliquam urna, vitae aliquet lectus orci nec velit. Vivamus dapibus varius blandit.
-%
-%Duis sit amet magna ante, at sodales diam. Aenean consectetur porta risus et sagittis. Ut interdum, enim varius pellentesque tincidunt, magna libero sodales tortor, ut fermentum nunc metus a ante. Vivamus odio leo, tincidunt eu luctus ut, sollicitudin sit amet metus. Nunc sed orci lectus. Ut sodales magna sed velit volutpat sit amet pulvinar diam venenatis.
-%
-%Albert Einstein discovered that $e=mc^2$ in 1905.
-%
-%\[ e=\lim_{n \to \infty} \left(1+\frac{1}{n}\right)^n \]
-%
-%\makeletterclosing
-
-%\clearpage\end{CJK*}                              % if you are typesetting your resume in Chinese using CJK; the \clearpage is required for fancyhdr to work correctly with CJK, though it kills the page numbering by making \lastpage undefined
-\end{document}
-
-
-%% end of file `template.tex'.
diff --git a/publications.bib.bak b/publications.bib.bak
deleted file mode 100644
index 2e3370e..0000000
--- a/publications.bib.bak
+++ /dev/null
@@ -1,148 +0,0 @@
-% Encoding: windows-1252

-

-@Article{BBCDLP15euler,

-  author   = {Banaian, Esther and Butler, Steve and Cox, Christopher and Davis, Jeffrey and Landgraf, Jacob and Ponce, Scarlitte},

-  title    = {A generalization of {E}ulerian numbers via rook placements},

-  journal  = {Involve},

-  year     = {2017},

-  volume   = {10},

-  number   = {4},

-  pages    = {691-705},

-  month    = {03},

-  keywords = {pub},

-  owner    = {Chris},

-  url      = {http://arxiv.org/abs/1508.03673},

-}

-

-@Article{BBCDLP15prime,

-  author =   {Banaian, Esther and Butler, Steve and Cox, Christopher and Davis, Jeffrey and Landgraf, Jacob and Ponce, Scarlitte},

-  title =    {Counting prime juggling patterns},

-  journal =  {Graphs and Combinatorics},

-  year =     {2016},

-  volume =   {32},

-  number =   {5},

-  pages =    {1675-1688},

-  month =    {9},

-  keywords = {pub},

-  owner =    {Chris},

-  url =      {http://arxiv.org/abs/1508.05296}

-}

-

-@Article{BCDHKLMMNPS15choose,

-  author    = {Berikkyzy, Zhanar and Cox, Christopher and Dairyko, Michael and Hogenson, Kirsten and Kumbhat, Mohit and Lidick{\'y}, Bernard and Messerschmidt, Kacy and Moss, Kevin and Nowak, Kathleen and Palmowski, Kevin and Stolee, Derrick},

-  title     = {{$(4,2)$}-choosability of planar graphs with forbidden substructures},

-  journal   = {Graphs and Combinatorics},

-  year      = {2017},

-  volume    = {33},

-  number    = {4},

-  pages     = {751-787},

-  month     = {07},

-  keywords  = {pub},

-  owner     = {Chris},

-  timestamp = {2015.08.05},

-  url       = {http://arxiv.org/abs/1512.03787},

-}

-

-@Article{CDDKRT15hanabi,

-  author    = {Cox, Christopher and De Silva, Jessica and DeOrsey, Philip and Kenter, Franklin and Retter, Troy and Tobin, R. Joshua},

-  title     = {How to make the perfect fireworks display: {T}wo strategies for {H}anabi},

-  journal   = {Mathematics Magazine},

-  year      = {2015},

-  volume    = {88},

-  number    = {5},

-  pages     = {323-336},

-  month     = {12},

-  abstract  = {The game of \emph{Hanabi} is a multi-player cooperative card game which has many similarities to a mathematical `hat guessing game.' In \emph{Hanabi}, players do not know the cards in their own hand and must rely on the actions of the other players to communicate information.

-

-This paper presents two strategies for \emph{Hanabi}. Results from computer simulation demonstrate that both strategies perform well. In particular, one strategy achieves a perfect score of 25 points 75 percent of the time.},

-  keywords  = {pub},

-  owner     = {Chris},

-  timestamp = {2015.05.05},

-}

-

-@Article{CFMR15potram,

-  author    = {Cox, Christopher and Ferrara, Michael and Martin, Ryan R. and Reineger, Benjamin},

-  title     = {Chv{\'a}tal-type results for degree sequence {R}amsey numbers},

-  journal   = {Preprint available as arXiv:1510.04843},

-  year      = {2015},

-  month     = {5},

-  abstract  = {A sequence of nonnegative integers $\pi =(d_1,d_2,...,d_n)$ is {\it graphic} if there is a (simple) graph $G$ of order $n$ having degree sequence $\pi$. In this case, $G$ is said to {\it realize} or be a {\it realization of} $\pi$. Given a graph $H$, a graphic sequence $\pi$ is \textit{potentially $H$-graphic} if there is some realization of $\pi$ that contains $H$ as a subgraph. 

-

-In this paper, we consider a degree sequence analogue to classical graph Ramsey numbers. For graphs $H_1$ and $H_2$, the \textit{potential-Ramsey number} $\rpot(H_1,H_2)$ is the minimum integer $N$ such that for any $N$-term graphic sequence $\pi$, either $\pi$ is potentially $H_1$-graphic or the complementary sequence $\overline{\pi}=(N-1-d_N,\dots, N-1-d_1)$

-is potentially $H_2$ graphic. 

-

-We prove that if $s\ge 2$ is an integer and $T_t$ is a tree of order $t\ge 9(s-2)$ and then $$\rpot(T_t, K_s) = t+s-2.$$ This result, which is best possible up to the constant on $s-2$, is a degree sequence analogue to a classical 1977 result of Chv\'{a}tal on the graph Ramsey number of trees vs.\ cliques. To obtain this theorem, we prove a sharp condition that ensures an arbitrary graph packs with a forest, which is likely to be of independent interest.},

-  owner     = {Chris},

-  timestamp = {2015.05.05},

-  url       = {http://arxiv.org/abs/1510.04843},

-}

-

-@Article{CS16orram,

-  Title                    = {Ordered {R}amsey numbers of loose paths and matchings},

-  Author                   = {Cox, Christopher and Stolee, Derrick},

-  Journal                  = {Discrete Mathematics},

-  Year                     = {2016},

-

-  Month                    = {2},

-  Number                   = {2},

-  Pages                    = {499-505},

-  Volume                   = {339},

-

-  Abstract                 = {For a $k$-uniform hypergraph $G$ with vertex set $\{1,\ldots,n\}$, the ordered Ramsey number $\OR{t}{G}$ is the least integer $N$ such that every $t$-coloring of the edges of the complete $k$-uniform graph on vertex set $\{1,\ldots,N\}$ contains a monochromatic copy of $G$ whose vertices follow the prescribed order. 

-Due to this added order restriction, the ordered Ramsey numbers can be much larger than the usual graph Ramsey numbers. 

-We determine that the ordered Ramsey numbers of loose paths under a monotone order grows as a tower of height two less than the maximum degree in terms of the number of edges.

-We also extend theorems of Conlon, Fox, Lee, and Sudakov [Ordered Ramsey numbers, arXiv:1410.5292] on the ordered Ramsey numbers of 2-uniform matchings to provide upper bounds on the ordered Ramsey number of $k$-uniform matchings under certain orderings.},

-  Keywords                 = {pub},

-  Owner                    = {Chris},

-  Timestamp                = {2015.05.05},

-  Url                      = {http://www.sciencedirect.com/science/article/pii/S0012365X15003477}

-}

-

-@Article{briggscox17,

-  author      = {Joseph Briggs and Christopher Cox},

-  title       = {Inverting the {T}ur{\' a}n problem},

-  abstract    = {Classical questions in extremal graph theory concern the asymptotics of $\operatorname{ex}(G, \mathcal{H})$ where $\mathcal{H}$ is a fixed family of graphs and $G=G_n$ is taken from a "standard" increasing sequence of host graphs $(G_1, G_2, \dots)$, most often $K_n$ or $K_{n,n}$. Inverting the question, we can instead ask how large $|E(G)|$ can be with respect to $\operatorname{ex}(G,\mathcal{H})$. We show that the standard sequences indeed maximize $|E(G)|$ for some choices of $\mathcal{H}$, but not for others. Many interesting questions and previous results arise very naturally in this context, which also, unusually, gives rise to sensible extremal questions concerning multigraphs and non-uniform hypergraphs.},

-  date        = {2017-11-06},

-  eprint      = {1711.02082v2},

-  eprintclass = {math.CO},

-  eprinttype  = {arXiv},

-  file        = {online:http\://arxiv.org/pdf/1711.02082v2:PDF},

-  keywords    = {sub},

-}

-

-@Article{Bukh2018,

-  author      = {Boris Bukh and Christopher Cox},

-  title       = {On a fractional version of {H}aemers' bound},

-  abstract    = {In this note, we present a fractional version of Haemers' bound on the Shannon capacity of a graph, which is originally due to Blasiak. This bound is a common strengthening of both Haemers' bound and the fractional chromatic number of a graph. We show that this fractional version outperforms any bound on the Shannon capacity that could be attained through Haemers' bound. We show also that this bound is multiplicative, unlike Haemers' bound.},

-  date        = {2018-02-01},

-  eprint      = {1802.00476v1},

-  eprintclass = {cs.IT},

-  eprinttype  = {arXiv},

-  file        = {online:http\://arxiv.org/pdf/1802.00476v1:PDF},

-  keywords    = {sub},

-}

-

-@Article{Bukh2018a,

-  author      = {Boris Bukh and Christopher Cox},

-  title       = {Nearly orthogonal vectors and small antipodal spherical codes},

-  abstract    = {How can $d+k$ vectors in $\mathbb{R}^d$ be arranged so that they are as close to orthogonal as possible? In particular, define $\theta(d,k):=\min_X\max_{x\neq y\in X}|\langle x,y\rangle|$ where the minimum is taken over all collections of $d+k$ unit vectors $X\subseteq\mathbb{R}^d$. In this paper, we focus on the case where $k$ is fixed and $d\to\infty$. In establishing bounds on $\theta(d,k)$, we find an intimate connection to the existence of systems of ${k+1\choose 2}$ equiangular lines in $\mathbb{R}^k$. Using this connection, we are able to pin down $\theta(d,k)$ whenever $k\in\{1,2,3,7,23\}$ and establish asymptotics for general $k$. The main tool is an upper bound on $\mathbb{E}_{x,y\sim\mu}|\langle x,y\rangle|$ whenever $\mu$ is an isotropic probability mass on $\mathbb{R}^k$, which may be of independent interest. Our results translate naturally to the analogous question in $\mathbb{C}^d$. In this case, the question relates to the existence of systems of $k^2$ equiangular lines in $\mathbb{C}^k$, also known as SIC-POVM in physics literature.},

-  date        = {2018-03-08},

-  eprint      = {1803.02949v1},

-  eprintclass = {math.CO},

-  eprinttype  = {arXiv},

-  file        = {online:http\://arxiv.org/pdf/1803.02949v1:PDF},

-  keywords    = {sub},

-}

-

-@Article{Cox2018,

-  author    = {Christopher Cox and Derrick Stolee},

-  title     = {Ramsey Numbers for Partially-Ordered Sets},

-  journal   = {Order},

-  year      = {2018},

-  month     = {jan},

-  doi       = {10.1007/s11083-017-9449-9},

-  keywords  = {app},

-  publisher = {Springer Nature},

-}

-

-@Comment{jabref-meta: databaseType:bibtex;}