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-rw-r--r--build/cv.fdb_latexmk13
-rw-r--r--build/cv.fls2
-rw-r--r--build/cv.log64
-rw-r--r--build/cv.pdfbin125048 -> 125047 bytes
-rw-r--r--build/cv.synctex.gzbin25514 -> 25435 bytes
-rw-r--r--content/contact.tex2
-rw-r--r--content/papers.bib132
-rw-r--r--content/publications.bib113
-rw-r--r--content/submitted.bib11
-rw-r--r--cv.tex4
10 files changed, 178 insertions, 163 deletions
diff --git a/build/cv.fdb_latexmk b/build/cv.fdb_latexmk
index fb7d6f7..5c29180 100644
--- a/build/cv.fdb_latexmk
+++ b/build/cv.fdb_latexmk
@@ -1,5 +1,5 @@
# Fdb version 3
-["pdflatex"] 1560370644 "cv.tex" "build/cv.pdf" "cv" 1560370645
+["pdflatex"] 1560374637 "cv.tex" "build/cv.pdf" "cv" 1560374637
"/etc/texmf/web2c/texmf.cnf" 1525335339 34486 a42f5630e6d0571c3d9c9d8f8de29fc1 ""
"/usr/share/texmf/fonts/map/fontname/texfonts.map" 1511824771 3332 103109f5612ad95229751940c61aada0 ""
"/usr/share/texmf/fonts/map/pdftex/updmap/pdftex.map" 1520645099 2704162 7a0bfe1b6869e6081137f3dece8a4231 ""
@@ -110,6 +110,7 @@
"/usr/share/texmf/tex/latex/latexconfig/epstopdf-sys.cfg" 1480098833 678 4792914a8f45be57bb98413425e4c7af ""
"/usr/share/texmf/tex/latex/latexconfig/hyperref.cfg" 1480098833 235 6031e5765137be07eed51a510b2b8fb7 ""
"/usr/share/texmf/tex/latex/ms/everyshi.sty" 1480098835 3878 6aa7c08ff2621006e0603349e40a30a8 ""
+ "/usr/share/texmf/tex/latex/natbib/bibentry.sty" 1480098835 3400 e000bb2fc43fc077e107f62f8c25613e ""
"/usr/share/texmf/tex/latex/oberdiek/auxhook.sty" 1480098836 3834 4363110eb0ef1eb2b71c8fcbcdb6c357 ""
"/usr/share/texmf/tex/latex/oberdiek/epstopdf-base.sty" 1480098836 12095 5337833c991d80788a43d3ce26bd1c46 ""
"/usr/share/texmf/tex/latex/oberdiek/grfext.sty" 1480098836 7075 2fe3d848bba95f139de11ded085e74aa ""
@@ -129,19 +130,19 @@
"/usr/share/texmf/tex/latex/xcolor/xcolor.sty" 1480098843 55589 34128738f682d033422ca125f82e5d62 ""
"/usr/share/texmf/web2c/texmf.cnf" 1525335339 34486 a42f5630e6d0571c3d9c9d8f8de29fc1 ""
"/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1559422358 3678045 a19cf46623b5a6aeed38e613a215a19c ""
- "build/cv.aux" 1560370645 662 b2b94621371df8d9296b8bf5bec1b851 ""
- "build/cv.out" 1560370645 0 d41d8cd98f00b204e9800998ecf8427e ""
+ "build/cv.aux" 1560374637 662 b2b94621371df8d9296b8bf5bec1b851 ""
+ "build/cv.out" 1560374637 0 d41d8cd98f00b204e9800998ecf8427e ""
"content/awards-grants.tex" 1560370435 548 17237644e13090c25097cc41acc775e5 ""
- "content/contact.tex" 1560370435 128 365a35906273e5ff369718f4fc25b71a ""
+ "content/contact.tex" 1560372359 171 21b00524dfce1886c14e3a8375cddb60 ""
"content/contributed.tex" 1560370435 956 7760ee69d224669c0a61f41c3829e6b1 ""
"content/education.tex" 1560370435 756 addf0797cfaa773729a81bb6c018d111 ""
"content/invited.tex" 1560370435 1717 565fcd2432eb79cf932cb067ee225dfd ""
"content/positions.tex" 1560370643 1027 71280eb3ba614bbab260f12b6690db63 ""
"content/publications.tex" 1560370576 1545 ad378e3e9abe68f075eb849b5f493caf ""
"content/submitted.tex" 1560370435 259 0834513bee6a8671270a35de6f4dfa6b ""
- "cv.tex" 1560370593 2222 b480c1b43109f68ffa2ff8c9367d13d9 ""
+ "cv.tex" 1560374631 2303 15640367dd26487afb4699cb786a827a ""
(generated)
+ "build/cv.aux"
"build/cv.pdf"
"build/cv.log"
"build/cv.out"
- "build/cv.aux"
diff --git a/build/cv.fls b/build/cv.fls
index 49a66ce..4ae4e6c 100644
--- a/build/cv.fls
+++ b/build/cv.fls
@@ -152,6 +152,8 @@ INPUT /usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryt
INPUT /usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex
INPUT /usr/share/texmf/tex/latex/enumitem/enumitem.sty
INPUT /usr/share/texmf/tex/latex/enumitem/enumitem.sty
+INPUT /usr/share/texmf/tex/latex/natbib/bibentry.sty
+INPUT /usr/share/texmf/tex/latex/natbib/bibentry.sty
INPUT /usr/share/texmf/tex/latex/etoolbox/etoolbox.sty
INPUT /usr/share/texmf/tex/latex/etoolbox/etoolbox.sty
INPUT ./build/cv.aux
diff --git a/build/cv.log b/build/cv.log
index 2068ebf..d7cc780 100644
--- a/build/cv.log
+++ b/build/cv.log
@@ -1,4 +1,4 @@
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+This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018/TeX Live for SUSE Linux) (preloaded format=pdflatex 2019.6.1) 12 JUN 2019 17:23
entering extended mode
restricted \write18 enabled.
file:line:error style messages enabled.
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\enit@toks=\toks39
\enit@inbox=\box39
\enitdp@description=\count129
+) (/usr/share/texmf/tex/latex/natbib/bibentry.sty
+Package: bibentry 2007/10/30 1.5 (PWD)
) (/usr/share/texmf/tex/latex/etoolbox/etoolbox.sty
Package: etoolbox 2018/02/11 v2.5e e-TeX tools for LaTeX (JAW)
\etb@tempcnta=\count130
) (./build/cv.aux)
\openout1 = `cv.aux'.
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+LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 38.
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+LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 38.
+LaTeX Font Info: ... okay on input line 38.
+LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 38.
+LaTeX Font Info: ... okay on input line 38.
+LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 38.
+LaTeX Font Info: ... okay on input line 38.
+LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 38.
+LaTeX Font Info: ... okay on input line 38.
\AtBeginShipoutBox=\box40
-Package hyperref Info: Link coloring ON on input line 37.
+Package hyperref Info: Link coloring ON on input line 38.
(/usr/share/texmf/tex/latex/hyperref/nameref.sty
Package: nameref 2016/05/21 v2.44 Cross-referencing by name of section
(/usr/share/texmf/tex/generic/oberdiek/gettitlestring.sty
@@ -442,9 +444,9 @@ Package: gettitlestring 2016/05/16 v1.5 Cleanup title references (HO)
)
\c@section@level=\count131
)
-LaTeX Info: Redefining \ref on input line 37.
-LaTeX Info: Redefining \pageref on input line 37.
-LaTeX Info: Redefining \nameref on input line 37.
+LaTeX Info: Redefining \ref on input line 38.
+LaTeX Info: Redefining \pageref on input line 38.
+LaTeX Info: Redefining \nameref on input line 38.
(./build/cv.out) (./build/cv.out)
\@outlinefile=\write4
\openout4 = `cv.out'.
@@ -474,11 +476,11 @@ Package grfext Info: Graphics extension search list:
(/usr/share/texmf/tex/latex/latexconfig/epstopdf-sys.cfg
File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Live
))
-LaTeX Font Info: Try loading font information for U+msa on input line 49.
+LaTeX Font Info: Try loading font information for U+msa on input line 52.
(/usr/share/texmf/tex/latex/amsfonts/umsa.fd
File: umsa.fd 2013/01/14 v3.01 AMS symbols A
)
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+LaTeX Font Info: Try loading font information for U+msb on input line 52.
(/usr/share/texmf/tex/latex/amsfonts/umsb.fd
File: umsb.fd 2013/01/14 v3.01 AMS symbols B
) (./content/contact.tex) (./content/education.tex
@@ -496,25 +498,25 @@ Overfull \hbox (14.78561pt too wide) in paragraph at lines 2--3
[1
{/usr/share/texmf/fonts/map/pdftex/updmap/pdftex.map}]) (./content/publications.tex) (./content/invited.tex [2]) (./content/contributed.tex) (./content/awards-grants.tex) [3]
-Package atveryend Info: Empty hook `BeforeClearDocument' on input line 90.
-Package atveryend Info: Empty hook `AfterLastShipout' on input line 90.
+Package atveryend Info: Empty hook `BeforeClearDocument' on input line 92.
+Package atveryend Info: Empty hook `AfterLastShipout' on input line 92.
(./build/cv.aux)
-Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 90.
-Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 90.
+Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 92.
+Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 92.
Package rerunfilecheck Info: File `cv.out' has not changed.
(rerunfilecheck) Checksum: D41D8CD98F00B204E9800998ECF8427E;0.
-Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 90.
+Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 92.
)
Here is how much of TeX's memory you used:
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7670 words of font info for 30 fonts, out of 8000000 for 9000
475 hyphenation exceptions out of 8191
55i,5n,54p,1001b,436s stack positions out of 5000i,500n,10000p,200000b,80000s
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+Output written on ./build/cv.pdf (3 pages, 125047 bytes).
PDF statistics:
78 PDF objects out of 1000 (max. 8388607)
62 compressed objects within 1 object stream
diff --git a/build/cv.pdf b/build/cv.pdf
index d86acd3..3227e11 100644
--- a/build/cv.pdf
+++ b/build/cv.pdf
Binary files differ
diff --git a/build/cv.synctex.gz b/build/cv.synctex.gz
index 1525a7a..e44bafb 100644
--- a/build/cv.synctex.gz
+++ b/build/cv.synctex.gz
Binary files differ
diff --git a/content/contact.tex b/content/contact.tex
index bc971f5..ac0f0d6 100644
--- a/content/contact.tex
+++ b/content/contact.tex
@@ -2,4 +2,4 @@
Carnegie Mellon University\\
Pittsburgh, PA 15213\\
\texttt{cocox@andrew.cmu.edu}\\
-\url{math.cmu.edu/~cocox}%
+\href{http://math.cmu.edu/~cocox/}{\texttt{math.cmu.edu/\~{}cocox/}}%
diff --git a/content/papers.bib b/content/papers.bib
new file mode 100644
index 0000000..b182933
--- /dev/null
+++ b/content/papers.bib
@@ -0,0 +1,132 @@
+@article {jBC19,
+ AUTHOR = {Briggs, Joseph and Cox, Christopher},
+ TITLE = {Inverting the {T}ur\'{a}n problem},
+ JOURNAL = {Discrete Math.},
+ FJOURNAL = {Discrete Mathematics},
+ VOLUME = {342},
+ YEAR = {2019},
+ NUMBER = {7},
+ PAGES = {1865--1884},
+ ISSN = {0012-365X},
+ MRCLASS = {05C35},
+ MRNUMBER = {3937748},
+ DOI = {10.1016/j.disc.2019.03.005},
+ URL = {https://doi.org/10.1016/j.disc.2019.03.005},
+}
+
+@article {bBC19,
+ AUTHOR = {Bukh, Boris and Cox, Christopher},
+ TITLE = {On a fractional version of {H}aemers’ bound},
+ JOURNAL = {IEEE Transactions on Information Theory},
+ VOLUME = {65},
+ NUMBER = {6},
+ PAGES = {3340--3348},
+}
+
+@article {CS18,
+ AUTHOR = {Cox, Christopher and Stolee, Derrick},
+ TITLE = {Ramsey numbers for partially-ordered sets},
+ JOURNAL = {Order},
+ FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its
+ Applications},
+ VOLUME = {35},
+ YEAR = {2018},
+ NUMBER = {3},
+ PAGES = {557--579},
+ ISSN = {0167-8094},
+ MRCLASS = {05C55 (05C65 06A07)},
+ MRNUMBER = {3861400},
+MRREVIEWER = {Zilin Jiang},
+ DOI = {10.1007/s11083-017-9449-9},
+ URL = {https://doi.org/10.1007/s11083-017-9449-9},
+}
+
+@article {BCDHKLMMNPS17,
+ 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 F. and Stolee, Derrick},
+ TITLE = {{$(4,2)$}-choosability of planar graphs with forbidden
+ structures},
+ JOURNAL = {Graphs Combin.},
+ FJOURNAL = {Graphs and Combinatorics},
+ VOLUME = {33},
+ YEAR = {2017},
+ NUMBER = {4},
+ PAGES = {751--787},
+ ISSN = {0911-0119},
+ MRCLASS = {05C15 (05C10)},
+ MRNUMBER = {3665686},
+ DOI = {10.1007/s00373-017-1812-5},
+ URL = {https://doi.org/10.1007/s00373-017-1812-5},
+}
+
+@article {BBCDLP17,
+ 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},
+ FJOURNAL = {Involve. A Journal of Mathematics},
+ VOLUME = {10},
+ YEAR = {2017},
+ NUMBER = {4},
+ PAGES = {691--705},
+ ISSN = {1944-4176},
+ MRCLASS = {05A15 (05A05)},
+ MRNUMBER = {3630311},
+MRREVIEWER = {Volker Strehl},
+ DOI = {10.2140/involve.2017.10.691},
+ URL = {https://doi.org/10.2140/involve.2017.10.691},
+}
+
+@article {BBCDLP16,
+ 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 Combin.},
+ FJOURNAL = {Graphs and Combinatorics},
+ VOLUME = {32},
+ YEAR = {2016},
+ NUMBER = {5},
+ PAGES = {1675--1688},
+ ISSN = {0911-0119},
+ MRCLASS = {05A05 (05A15 05A30)},
+ MRNUMBER = {3543189},
+MRREVIEWER = {Zhicong Lin},
+ DOI = {10.1007/s00373-016-1711-1},
+ URL = {https://doi.org/10.1007/s00373-016-1711-1},
+}
+
+@article {CD16,
+ AUTHOR = {Cox, Christopher and Stolee, Derrick},
+ TITLE = {Ordered {R}amsey numbers of loose paths and matchings},
+ JOURNAL = {Discrete Math.},
+ FJOURNAL = {Discrete Mathematics},
+ VOLUME = {339},
+ YEAR = {2016},
+ NUMBER = {2},
+ PAGES = {499--505},
+ ISSN = {0012-365X},
+ MRCLASS = {05C55 (05C65)},
+ MRNUMBER = {3431360},
+ DOI = {10.1016/j.disc.2015.09.026},
+ URL = {https://doi.org/10.1016/j.disc.2015.09.026},
+}
+
+@article {CDDKRT15,
+ AUTHOR = {Cox, Christopher and De Silva, Jessica and DeOrsey, Philip and
+ Kenter, Franklin H. J. and Retter, Troy and Tobin, Josh},
+ TITLE = {How to make the perfect fireworks display: two strategies for
+ {\it {H}anabi}},
+ JOURNAL = {Math. Mag.},
+ FJOURNAL = {Mathematics Magazine},
+ VOLUME = {88},
+ YEAR = {2015},
+ NUMBER = {5},
+ PAGES = {323--336},
+ ISSN = {0025-570X},
+ MRCLASS = {91A46 (91A12)},
+ MRNUMBER = {3470682},
+ DOI = {10.4169/math.mag.88.5.323},
+ URL = {https://doi.org/10.4169/math.mag.88.5.323},
+}
diff --git a/content/publications.bib b/content/publications.bib
deleted file mode 100644
index d6e8d63..0000000
--- a/content/publications.bib
+++ /dev/null
@@ -1,113 +0,0 @@
-@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.},
-
- keywords = {pub},
- journal = {Discrete Mathematics},
- year = {2019},
- month = {Jul.},
- number = {7},
- volume = {342},
- pages = {1865-1884},
-}
-
-@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.},
- journal = {IEEE Transactions on Information Theory},
- year = {2018},
- keywords = {pub},
-}
-
-@Article{Cox2018,
- author = {Christopher Cox and Derrick Stolee},
- title = {Ramsey Numbers for Partially-Ordered Sets},
- journal = {Order},
- year = {2018},
- month = {Nov.},
- keywords = {pub},
- volume = {35},
- number = {3},
- pages = {557-579},
-}
-
-@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 = {Jul.},
- keywords = {pub},
- owner = {Chris},
- timestamp = {2015.08.05},
- url = {http://arxiv.org/abs/1512.03787},
-}
-
-@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 = {Mar.},
- 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 = {Sep.},
- keywords = {pub},
- owner = {Chris},
- url = {http://arxiv.org/abs/1508.05296}
-}
-@Article{CS16orram,
- Title = {Ordered {R}amsey numbers of loose paths and matchings},
- Author = {Cox, Christopher and Stolee, Derrick},
- Journal = {Discrete Mathematics},
- Year = {2016},
- Month = {Feb.},
- 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{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 = {Dec.},
- 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},
-}
diff --git a/content/submitted.bib b/content/submitted.bib
deleted file mode 100644
index 39b698d..0000000
--- a/content/submitted.bib
+++ /dev/null
@@ -1,11 +0,0 @@
-@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},
-}
diff --git a/cv.tex b/cv.tex
index 9fb35f5..b83ff0f 100644
--- a/cv.tex
+++ b/cv.tex
@@ -5,6 +5,7 @@
\usepackage[colorlinks=true,citecolor=blue,urlcolor=blue,linkcolor=blue,bookmarksopen=true]{hyperref}
\usepackage{tikz}
\usepackage{enumitem}
+\usepackage{bibentry}
% The following hack from http://tex.stackexchange.com/a/103349 reduces spacing in the bibliography slightly.
% The effect is that the paper is not so long
@@ -35,6 +36,8 @@
\begin{document}
+%\nobibliography{content/papers}
+%\bibliographystyle{abbrv}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% title+contact %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -74,7 +77,6 @@ Extremal combinatorics, probablilistic methods, algebraic methods, graph theory,
\section*{Publications}
\subsection*{Submitted}
\input{content/submitted.tex}
-
\subsection*{Published}
\input{content/publications.tex}