Andrew Berget

In his 2005 PhD thesis on tropical linear spaces, Speyer conjectured an upper bound on the number of interior faces in a matroid base polytope subdivision of a hypersimplex. This conjecture can be reduced to determining the sign of the Euler...

Many interesting and familiar varieties are collections of matrices. Two of the most familiar are the determinantal varieties and the matrix Schubert varieties. Often, these varieties are stable under the row operations of linear algebra. This talk...

A length $n$ parking function is a sequence of integers whose non-decreasing rearrangement $(q_1,q_2,\dots,q_n)$ satisfies $q_i \leq i$. Any rearrangement of a parking function thus remains a parking function and one can consider the permutation...