Vasu Tewari

I am an Assistant Professor (non tenure-track) at the Department of Mathematical and Computational Sciences at the University of Toronto Mississauga. I study algebraic combinatorics.

Current Teaching

Research

  1. The quasisymmetric flag variety: a toric complex on noncrossing partitions (with N. Bergeron, L. Gagnon, P. Nadeau, and H. Spink), preprint (2025), 52 pp.

  2. Equivariant quasisymmetry and noncrossing partitions (with N. Bergeron, L. Gagnon, P. Nadeau, and H. Spink), preprint (2025), 61 pp.

  3. The geometry of quasisymmetric coinvariants (with P. Nadeau and H. Spink), submitted (2024), 58 pp.

  4. Quasisymmetric divided differences (with P. Nadeau and H. Spink), submitted (2024), 54 pp.

  5. Tutte polynomials in superspace (with B. Rhoades and A. Wilson), submitted (2024), 34 pp.

  6. A q-deformation of an algebra of Klyachko and Macdonald's reduced word formula (with P. Nadeau), Trans. Amer. Math. Soc., accepted (2025), 48 pp.

  7. Schubert polynomial expansions revisited (with P. Nadeau and H. Spink), Forum Math. Sigma, 13 (2025), Paper No. e106, 25 pp.

  8. Forest polynomials and the class of the permutahedral variety (with P. Nadeau), Adv. Math. 453 (2024), Paper No. 109834, 33 pp.

  9. P-partitions with flags and back stable quasisymmetric functions (with P. Nadeau), Comb. Theory 4 (2024), no. 2, Paper No. 4, 22 pp.

  10. Down-up algebras and chromatic symmetric functions (with P. Nadeau), Sem. Lothar. Combin. 88 ([2023--2024]), Art. B88c, 18 pp.

  11. Zonotopal algebras, orbit harmonics, and Donaldson-Thomas invariants of symmetric quivers (with M. Reineke and B. Rhoades), Int. Math. Res. Not. IMRN no. 23 (2023), 20169--20210.

  12. Remixed Eulerian numbers (with P. Nadeau), Forum Math. Sigma 11 (2023), Paper No. e65, 26 pp.

  13. The permutahedral variety, mixed Eulerian numbers, and principal specializations of Schubert polynomials (with P. Nadeau), Int. Math. Res. Not. IMRN no. 5 (2023), 3615--3670.

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

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

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

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

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

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

  20. 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.

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

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

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

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

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

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

  27. 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.

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

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

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

Past Teaching

University of Toronto Mississauga

University of Hawaii

University of Pennsylvania

University of Washington

University of British Columbia