Vasu Tewari

I am an Assistant Professor (TT) at the Department of Mathematics at the University of Hawaii. From July 2018-December 2020, I was a Hans Rademacher Instructor of Mathematics at the University of Pennsylvania. I was on leave at the Mittag-Leffler Institute from January 2020-March 2020. From September 2015-June 2018, I was an Acting Assistant Professor at the University of Washington where my mentor was Sara Billey. I received my PhD in Mathematics in August 2015 from the University of British Columbia where I was advised by Steph van Willigenburg. I study algebraic combinatorics.

Current Teaching

Research

  1. Down-up algebras and chromatic symmetric functions (with P. Nadeau), preprint (2022), 18pp.

  2. Remixed Eulerian numbers (with P. Nadeau), submitted (2022), 25pp.

  3. Zonotopal algebras, orbit harmonics, and Donaldson-Thomas invariants of symmetric quivers (with M. Reineke and B. Rhoades), submitted (2022), 29pp.

  4. Divisors on complete multigraphs and Donaldson-Thomas invariants of loop quivers (with M. Konvalinka and M. Reineke), submitted (2021), 12pp.

  5. A q-deformation of an algebra of Klyachko and Macdonald's reduced word formula (with P. Nadeau), submitted (2021), 48pp.

  6. Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive (with A. Wilson and P. Zhang), Proc. Amer. Math. Soc. 150 (2022), 1873--1888.

  7. The permutahedral variety, mixed Eulerian numbers, and principal specializations of Schubert polynomials (with P. Nadeau), Int. Math. Res. Not. IMRN, accepted (2021), 39pp.

  8. Divided symmetrization and quasisymmetric functions (with P. Nadeau), Selecta Math. (N.S.) 27 (2021), no. 4, Paper No. 76, 24 pp.

  9. Trimming the permutahedron to extend the parking space (with M. Konvalinka and R. Sulzgruber), Algebr. Comb. 4 (2021), 663--674.

  10. Some natural extensions of the parking space (with M. Konvalinka), J. Combin. Theory Ser. A 180 (2021), 19pp.

  11. Noncommutative LR coefficients and crystal reflection operators (with E. Richmond), Algebr. Comb. 4 (2021), 145--162.

  12. Boolean product polynomials, Schur positivity, and Chern plethysm (with S.C. Billey and B. Rhoades), Int. Math. Res. Not. IMRN no. 21 (2021), 16634-16668.

  13. Labeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity (with I.M. Gessel and S. Griffin), Adv. Math. 356 (2019), 67pp.

  14. Smirnov trees (with M. Konvalinka), Electron. J. Combin. 26 (2019), 23pp.

  15. Gessel polynomials, rooks, and extended Linial arrangements, J. Combin. Theory Ser. A 163 (2019), 98--117.

  16. Permuted composition tableaux, 0-Hecke algebra and labeled binary trees (with S. van Willigenburg), J. Combin. Theory Ser. A 161 (2019), 420--452.

  17. Quasisymmetric and noncommutative skew Pieri rules (with S. van Willigenburg), Adv. in Appl. Math. 100 (2018), 101--121.

  18. Murnaghan-Nakayama rule for noncommutative Schur functions, European J. Combin. 58 (2016), 118--143.

  19. Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions (with C. Bessenrodt and S. van Willigenburg), J. Combin. Theory Ser. A 137 (2016), 179--206.

  20. Modules of the 0-Hecke algebra and quasisymmetric Schur functions (with S. van Willigenburg), Adv. Math. 285 (2015), 1025--1065.

  21. Backward jeu de taquin slides for composition tableaux and a noncommutative Pieri rule, Electron. J. Combin. 22 (2015), 48pp.

  22. Kronecker coefficients for some near-rectangular partitions, J. Algebra 429 (2015), 287--317.

Past Teaching

University of Hawaii

University of Pennsylvania

University of Washington

University of British Columbia