Contact Information
355 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Description
My research interests are in combinatorics, in relation to algebra, geometry, Lie theory, probability, algorithms and other areas of mathematics. The core of my research program has been in Schubert calculus and geometry. Other work I have done may be roughly classified under combinatorial commutative algebra and combinatorial algorithms.
Education
PhD Mathematics, University of Michigan Ann Arbor, 2003
Awards and Honors
Distinguished Teaching Award in Mathematics for Tenured Faculty, Department of Mathematics, 2018
Arnold O. Beckman Award, Campus Research Board, University of Illinois, 2018
Helen Corley Petit Professorial Scholar, College of LAS, University of Illinois, 2012-2013
Beckman Fellow, Center for Advanced Study, University of Illinois, 2011-2012
G. de B. Robinson Award, Canadian Mathematical Society, 2011
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
Dizier, A. S., & Yong, A. (2024). Presenting the cohomology of a Schubert variety: Proof of the minimality conjecture. Journal of the London Mathematical Society, 109(1), Article e12832. https://doi.org/10.1112/jlms.12832
Gao, Y., Hodges, R., & Yong, A. (2024). Levi-spherical Schubert varieties. Advances in Mathematics, 439, Article 109486. https://doi.org/10.1016/j.aim.2024.109486
Gao, Y., Hodges, R., & Yong, A. (2023). Classification of Levi-spherical Schubert varieties. Selecta Mathematica, New Series, 29(4), Article 55. https://doi.org/10.1007/s00029-023-00856-9
Hodges, R., & Yong, A. (2023). Multiplicity-Free Key Polynomials. Annals of Combinatorics, 27(2), 387-411. https://doi.org/10.1007/s00026-022-00574-7
Dizier, A. S., & Yong, A. (2022). Generalized Permutahedra and Schubert Calculus. Arnold Mathematical Journal, 8(3-4), 517-533. https://doi.org/10.1007/s40598-022-00208-z