436 Malott Hall
Ph.D. (2013) Georgia Institute of Technology
Combinatorics, algebraic geometry, commutative algebra
My current research interest is concerned with developing new connections between matroid theory, commutative algebra, tropical and nonarchimedean geometry.
The monodromy pairing and discrete logarithm on the Jacobian of finite graphs. Journal of Mathematical Cryptology, Volume 4, Issue 1, Pages 43-56, 2010.
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 (IMRN), 2013. (Joint with Fatemeh Mohammadi)
Canonical representatives for divisor classes on tropical curves and the Matrix-Tree Theorem. arXiv:1304.4259, 2013. (Joint with Matthew Baker, Greg Kuperberg, and An Yang)
Divisors on graphs, binomial and monomial ideals, and cellular resolutions. arXiv:1306.5351, 2013. (Joint with Fatemeh Mohammadi)