Research papers

 Crystal structures and the cactus group

• 1. Shift of argument algebras and de Concini-Procesi spaces (expository note).  To appear in the Proceedings for the Conference on Compactifications, Configurations, and Cohomology (2023) (AMS CONM book series).

  2. Categorical braid group actions and cactus groups, with A. Licata, I. Losev, O. Yacobi. To appear in Adv. Math. , arXiv:2101.05931

  3. Crystals and monodromy of Bethe vectors, with J. Kamnitzer, L. Rybnikov, A. Weekes. Duke Math. J., 169-12 (2020), 2337-2419. arXiv:1708.05105

  4. Skew Howe duality for crystals and the cactus group. Submitted, arXiv: 2001.02262

  5. Gromov width of the coadjoint orbits of the symplectic group, with M. Pabiniak. Pacific J. Math. 295 (2018), 403-420. arXiv:1601.02825

 Schubert calculus

• 6. Segre-Schwartz-MacPherson classes and symplectic flag manifolds, with A. Knutson, P. Zinn-Justin. In preparation.

  7. Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles, with A. Knutson, P. Zinn-Justin. Talk in FPSAC2019, Séminaire Lotharingien de Combinatoire 82B (2019) Article #1, 12 pp. arXiv:1811.07581

 Knot theory and quantum algebra

• 8. Kashiwara-Vergne solutions degree by degree, with Z. Dancso, G. Laplante-Anfossi, M. Robertson, arXiv: 2310.20420

  9. Yarn ball knots and faster computations,  with D. Bar-Natan, I. Bar-Natan, N. Scherich. To appear in J. Appl. Comput. Topol., arXiv:2108.10923

  10. A topological characterisation of the Kashiwara-Vergne groups, with Z. Dancso, M. Robertson. Trans. Amer. Math. Soc. 376-5 (2023), 3265-3317, arXiv: 2106.02373

  11. Circuit algebras are wheeled props, with Z. Dancso, M. Robertson. J . Pure Appl. Algebra 225-12 (2021). arXiv:2009.09738

  12. Alexander type invariants of tangles. Submitted, arXiv:1611.09280

  13. Some dimensions of spaces of finite type invariants of virtual knots, with D. Bar-Natan, L. Leung, F. Roukema. Experimental Mathematics 20-3 (2011), 282-287. arXiv:0909.5169

 Diagram algebras and Schur-Weyl duality

• 14. On calibrated representations of the degenerate affine periplectic Brauer algebra, with Z. Daugherty, M.S. Im, E. Norton. Surv. Math. Appl. 16 (2021), arXiv:1905.05148

  15. The affine VW supercategory, with M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, J. Hennig, M.S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel. Selecta Math. NS 26-20 (2020). arXiv:1801.04178

  16. Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n), with M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, J. Hennig, M.S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel.  Math. Res. Let. 26-3 (2019), 643-710. arXiv:1610.08470

 PhD Thesis

• 17. Alexander type invariants of tangles, skew Howe duality for crystals and the cactus group . (slides)