I did my PhD in mathematics at Georgia Institute
of Technology. My adviser was Matt Baker.
My current research interest includes matroid theory, commutative
algebra, tropical and toric varieties, and nonarchimedean geometry.
Teaching
- (Fall 2013) Math 2310
- (Spring 2014) Math 4370
Publication and Preprints
- The monodromy pairing and discrete logarithm on the
Jacobian of finite graphs. Journal of Mathematical Cryptology,
Volume 4, Issue 1, Pages 43-56, 2010.
- Improved simulation of nondeterministic Turing machines.
Theoretical Computer Science, Pages 66-73, 2010.
(Joint with S. Kalyanasundaram,
R. J. Lipton, K. W. Regan)
- Chip-firing games, potential theory on graphs, and
spanning trees. Journal of Combinatorial Theory,
Series A, Volume 120, Issue 1, Pages 164-182, 2013. (Joint
with Matthew Baker)
- Divisors on graphs, connected flags, and syzygies.
International Mathematics Research Notices, 2013. (Joint with Fatemeh
Mohammadi)
- Canonical representatives for divisor classes on tropical
curves and the Matrix-Tree Theorem. arXiv:1304.4259 (32 pages), 2013. (Joint
with Matthew Baker, Greg Kuperberg, and An Yang)
- Divisors on graphs, binomial and monomial ideals, and
cellular resolutions. arXiv:1306.5351 (50 pages), 2013. (Joint with Fatemeh Mohammadi)
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Disclaimer: This is not a publication of Cornell
University and Cornell University has not edited or examined the content.
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(Last modified on: September 11, 2013)
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