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Research
My research is in combinatorics; more specifically but still
broadly speaking, I like graph theory, graph colorings, hypergraphs,
competitive optimization, and partially ordered sets.
Publications (and accepted articles):
 N. Alon, A.V. Kostochka, B. Reiniger, D.B. West, X. Zhu.
Coloring, sparseness, and girth.
Accepted, Israel J. Math.
[arXiv]
 B. Reiniger and E. Yeager.
Large subposets with small dimension.
Accepted, Order.
[arXiv]
 A.V. Kostochka and B. Reiniger.
The minimum number of edges in a 4critical graph that is bipartite plus 3 edges.
European J. Combin., 46:8994, 2015.
[web]
 N. Kosar, S. Petrickova, B. Reiniger, and E. Yeager.
A note on listcoloring powers of graphs.
Discrete Math., 332:1014, 2014.
[arXiv;
web]
 S. Behrens, C. Erbes, M. Ferrara, S.G. Hartke, B. Reiniger, H. Spinoza, and C. Tomlinson.
New results on degree sequences of uniform hypergraphs.
Electron. J. Combin., 20(4):Paper 14, 2013.
[web]
 B. Collier, E. Kerman, B. Reiniger, B. Turmunkh, and A. Zimmer.
A symplectic proof of a theorem of Franks.
Compos. Math., 148(6):19691984, 2012.
[arXiv]
Submitted:
 C. Cox, M. Ferrara, R. Martin, B. Reiniger.
Chvátaltype results for degree sequence Ramsey numbers.
Submitted.
[web]
 J. Carraher, W. Kinnersley, B. Reiniger, and D.B. West.
The game saturation number of a graph.
Submitted.
[arXiv]
Manuscripts in progress:
 S. Loeb, T. Mahoney, B. Reiniger, J. Wise.
Dynamically coloring graphs with given genus.
As an undergraduate I did some research in combinatorics,
particularly Rosatype graph labelings.
I have worked with the combinatorics REGS group here at UIUC each summer
since arriving in '09.
In the 2010 summer I also worked on a REGS project concerning periodic
points of Hamiltonian diffeomorphisms of the twosphere.
I am broadly interested in most areas of mathematics. Areas that have
attracted me most include combinatorics, geometric group theory,
some category theory, cohomology of spaces and groups, and number theory.
Last modified January 8, 2015.

Giving a hypergraphic sequence talk, 2013.
