- Ph.D. from University of Chicago, 2009
- B.S. from Washington & Lee University, 2003
- Budapest Semesters in Mathematics, 2001 - 2002
- Assistant Professor, Haverford College, 2012 - present
- Assistant Professor, Williams College, 2010 - 2012
- RTG Hildebrandt Assistant Professor, University of Michigan, 2009 - 2010
My research program explores interactions between modern methods in algebraic geometry, algebraic combinatorics, and representation theory. In particular, I am interested in answering geometric and topological questions about algebraic varieties such as the flag variety, the affine Grassmannian, and affine Deligne-Lusztig varieties using the methods of algebraic combinatorics and combinatorial representation theory. Related to these projects is the study of the partially ordered set of Newton polygons associated to elements in the affine Weyl group, as well as the development of models for quantum Schubert calculus.
Publications and Preprints
- "The poset of Newton polygons is shellable," joint with Luis Serrano, preprint in preparation.
- "Bijective projections on parabolic quotients of affine Weyl groups," joint with Margaret Nichols, Min Hae Park, XiaoLin Shi, and Alexander Youcis, preprint available online at arXiv:1212.0771, 2012.
- "Maximal Newton polygons via the quantum Bruhat graph (extended abstract)," 24th International Conference on Formal Power Series and Algebraic Combinatorics, Discrete Math. Theor. Comput. Sci. Proc., 2012.
- "Affine Deligne-Lusztig varieties associated to additive affine Weyl group elements," J. Algebra 349, no. 1, p. 63-79, 2012.
- "Codimensions of Newton strata for SL(3) in the Iwahori case," Math. Zeit. 263, no. 3, p. 499-540, 2009.