Curriculum Vitae
Highlights are presented below. A full PDF version can be found here.
Research Interests
- Algebraic combinatorics and Schubert calculus
Employment
- NSF Postdoc, University California, Los Angeles Department of Mathematics, 2023--2026
- Hedrick Assistant Adjunct Professor, University California, Los Angeles Department of Mathematics, 2022--2026
Education
Ph.D., Mathematics, University of Illinois at Urbana-Champaign, 2022Papers
- With Jenna Rajchgot, Anna Weigandt, ''Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties'', Journal of Algebra, Vol. 617 (2023), 160--191.
- With Harshit Yadav, Alexander Yong, ''Equivariant cohomology, Schubert calculus, and edge labeled tableaux'', in Facets of Algebraic Geometry: A Volume in Honour of William Fulton's 80th Birthday, London Mathematical Society Lecture Note Series, Vol. 2 (2022), Cambridge University Press, 284--335.
- With Jenna Rajchgot, Yi Ren, Avery St. Dizier, Anna Weigandt, ''Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity'', Proceedings of the American Mathematical Society, 149 (2021) no. 4, 1405--1416.
- With Anshul Adve, Alexander Yong, ''An efficient algorithm for deciding vanishing of Schubert polynomial coefficients'', Advances in Mathematics, Vol. 383 (2021). This includes the technical sections of this preprint, which was split into this paper and the abstract ''Complexity, ...'' below.
- With Harshit Yadav, Alexander Yong, ''The A.B.C.Ds of Schubert calculus'', Séminaire Lotharingien de Combinatoire B85a (2020), 12 pp.
- With Anshul Adve, Alexander Yong, ''Vanishing of Littlewood-Richardson polynomials is in P'', Computational Complexity, Vol. 28(2) (2019), 241--257.
- With Christian Gaetz, Michelle Mastrianni, Rebecca Patrias, Hailee Peck, David Schwein, Ka Yu Tam, ''K-Knuth Equivalence for Increasing Tableaux'', Electronic Journal of Combinatorics, Vol. 23(1) (2016), P1.40.
Conference Proceedings and Preprints
- ''Shifted edge labeled tableaux and localizations'', preprint, arXiv:2111.02971, (2021), 10pp.
- With Anshul Adve, Alexander Yong, ''Complexity, Newton polytopes, and Schubert polynomials'', Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), Séminaire Lotharingien de Combinatoire 82B (2019), Article #52, 12pp. This includes the discussions of complexity from this preprint, which was split into this paper and the paper ''An efficient ...'' above.
Teaching Experience
University of California, Los Angeles- Spring 2023, MATH 61, MATH 184
- Winter 2023, MATH 180
- Fall 2022, MATH 61
- Spring 2018, MATH 231, Merit
- Fall 2017, MATH 220, Merit