I am an assistant professor at Seoul National University. 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: (double) affine Schubert polynomials, Schubert calculus, Fomin-Kirillov algebra, LLT polynomials.
## Publications- Positivity of Cylindric skew Schur functions, arXiv:1706.04460, submitted. -
Chern class of Schubert cells in the flag manifold and related algebras, Journal of Algebraic Combinatorics, 2017, https://doi.org/10.1007/s10801-017-0773-3-
Combinatorial description of the cohomology of the affine flag variety, Extended abstract, Proceedings of FPSAC 2016, http://www.lix.polytechnique.fr/~pilaud/FPSAC16/final_83.-
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, To appear at Transactions of the American Mathematical Society.- Pieri rule for the affine flag variety
, Advances in Mathematics, 304 (2017), 266-284. Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets, 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- Linear relations on LLT polynomials and their k-Schur positivity for k=2, arxXiv:1807.03951.- (with T. Lam and M. Shimozono) Back stable Schubert calculus, arXiv:180611233.Local neighborliness of the symmetric moment curve, arXiv:1102.5143. |