I am a research fellow in the department of mathematics at the Korea Institute for Advanced Study . I am interested in combinatorial problems connected with other areas such as symmetric functions, algebraic geometry and representation theory. Some of my topics of interest: Affine Schubert polynomials, Schubert calculus, Fomin-Kirillov algebras.
Publications- Chern class of Schubert cells in the flag manifold and related algebras, arXiv:1604.04523, submitted. - Combinatorial description of the cohomology of the affine flag variety, Extended abstract, Proceedings of FPSAC 2016, to appear. - Pieri rule for the affine flag variety, Extended abstract, Proceedings of FPSAC 2015, http://fpsac2015.sciencesconf.org/70975.
- Combinatorial description of the cohomology of the affine flag variety, arXiv:1506.02390, submitted.
- Pieri rule for the affine flag variety, arXiv:1406.4246, Accepted at Advances in Mathematics.
Discrete & Computational Geometry, 49 (2013), 429--443. - (with A. Barvinok and I. Novik) Centrally symmetric polytopes with many faces, Israel Journal of Mathematics, Israel Journal of Mathematics, 195 (2013), 457--472. - (with A. Barvinok and I. Novik) Neighborliness of the symmetric moment curve, Mathematika, 59 (2013), 223--249. Preprints- Local neighborliness of the symmetric moment curve, arXiv:1102.5143. |