Publications

  1. With Se-jin Oh: Categorical relations between Langlands dual quantum affine algebras: Exceptional cases. Comm. Math. Phys., 368(1), (2019) pp. 295–367.
    [doi: 10.1007/s00220-019-03287-w] [arXiv] [view-only]
  2. With Xuan Liu: A uniform approach to soliton cellular automata using rigged configurations. Ann. Henri PoincarĂ©, 20(4) (2019) pp. 1175–1215.
    [doi: 10.1007/s00023-019-00773-8] [arXiv] [view-only] SageMath code
  3. With Cristian Lenart: On higher level Kirillov–Reshetikhin crystals, Demazure crystals, and related uniform models. J. Algebra, 539 (2019), pp. 285–304.
    [doi: 10.1016/j.jalgebra.2019.07.036] [arXiv]
  4. With Arthur Lubovsky: Alcove path model for \(B(\infty)\). J. Pure Appl. Algebra, 223(11) (2019), pp. 4778–4800.
    [doi: 10.1016/j.jpaa.2019.02.015] [arXiv]
  5. With Jia Huang and Brendon Rhoades: Hall-Littlewood polynomials and a Hecke action on ordered set partitions. Proc. Amer. Math. Soc., 147(5) (2019) pp. 1839–1850.
    [doi: 10.1090/proc/14157] [arXiv]
  6. With Emily Gunawan: Kirillov–Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials. Algebr. Represent. Theory, to appear (2019).
    [doi: 10.1007/s10468-019-09904-5] [arXiv] [view-only]
  7. With Se-jin Oh: Identities from representation theory. Discrete Math., 342(9) (2019), pp. 2493–2541.
    [doi: 10.1016/j.disc.2019.05.020] [arXiv]
  8. With Valentin Buciumas and Katherine Weber: Colored five-vertex models and Lascoux polynomials and atoms. Preprint, (2019).
    [arXiv]
  9. With Graham Hawkes: Crystal structures for canonical Grothendieck functions. Preprint, (2019).
    [arXiv]
  10. With Oliver Pechenik: K-theoretic crystals for set-valued tableaux of rectangular shapes. Preprint, (2019).
    [arXiv]
  11. With Anatol N. Kirillov: Hook-content formula using excited Young diagrams. Preprint, (2019).
    [arXiv]
  12. With Ben Salisbury: Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra. Preprint, (2019).
    [arXiv]
  13. With Rekha Biswal: Existence of Kirillov–Reshetikhin crystals for multiplicity free nodes. Preprint, (2019).
    [arXiv]
  14. With Rekha Biswal: Kirillov–Reshetikhin crystals \(B^{7,s}\) for type \(E_7^{(1)}\). Preprint, (2019).
    [arXiv]
  15. With Masato Okado and Anne Schilling: Rigged configuration bijection and the proof of the \(X = M\) conjecture for nonexceptional affine types. J. Algebra 516 (2018) pp. 1–37.
    [doi: 10.1016/j.jalgebra.2018.08.031] [arXiv]
  16. With Ben Salisbury: Rigged configurations and the \(\ast\)-involution. Lett. Math. Phys., 108(9) (2018) pp. 1985–2007.
    [doi: 10.1007/s11005-018-1063-2] [arXiv]
  17. With Jianping Pan: Virtualization map for the Littelmann path model. Transform. Groups, 23(4) (2018), pp. 1045–1061.
    [doi: 10.1007/s00031-017-9456-3] [arXiv]
  18. With Ben Salisbury: Rigged configurations and the \(\ast\)-involution for generalized Kac–Moody algebras. Preprint, (2018).
    [arXiv]
  19. With Mee Seong Im: The regularity of almost-commuting partial Grothendieck–Springer resolutions and parabolic analogs of Calogero–Moser varieties. Preprint, (2018).
    [arXiv]
  20. With Erik Aas and Darij Grinberg: Multiline queues with spectral parameters. Preprint, (2018).
    [arXiv]
  21. With Cara Monical and Oliver Pechenik: Crystal structures for symmetric Grothendieck polynomials. Preprint, (2018).
    [arXiv]
  22. With Ben Salisbury: Virtual crystals and Nakajima monomials. SIGMA Symmetry Integrability Geom. Methods Appl., 14 (2018), 103, 19 pages.
    [doi: 10.3842/SIGMA.2018.103] [arXiv]
  23. Uniform description of the rigged configuration bijection. Preprint, (2017).
    [arXiv]
  24. Rigged configurations as tropicalizations of loop Schur functions. J. Integrable Syst., 2(1) (2017) pp. 1–24.
    [doi: 10.1093/integr/xyw015] [arXiv]
  25. With Masato Okado, Reiho Sakamoto, and Anne Schilling: Type \(D_n^{(1)}\) rigged configuration bijection. J. Algebraic Combin., 46(2) (2017) pp. 341–401.
    [doi: 10.1007/s10801-017-0756-4] [arXiv]
  26. With Ben Salisbury: Rigged configurations for all symmetrizable types. Electron. J. Combin., 24(1) (2017) #P1.30.
    [url] [arXiv]
  27. With Ben Salisbury: Connecting marginally large tableaux and rigged configurations via crystals. Algebr. Represent. Theory, 19(3) (2016) pp. 523–546.
    [doi: 10.1007/s10468-015-9587-y] [arXiv]
  28. A crystal to rigged configuration bijection for type \(D_4^{(3)}\). J. Algebra, 448C (2016), pp. 294–349.
    [doi: 10.1016/j.jalgebra.2015.09.047] [arXiv]
  29. With Anne Schilling: Crystal structure on rigged configurations and the filling map. Electron. J. Combin., 22(1) (2015) #P1.73.
    [url] [arXiv]
  30. With Ben Salisbury: A rigged configuration model for \(B(\infty)\). J. Combin. Theory Ser. A, 133 (2015) pp. 29–57.
    [doi: 10.1016/j.jcta.2015.01.008] [arXiv]
  31. With Paul Prue: Abrams's stable equivalence for graph braid groups. Topology Appl., 178 (2014) pp. 136–145.
    [doi: 10.1016/j.topol.2014.09.009] [arXiv]
  32. With Chris Berg, Viviane Pons, Jessica Striker, and Christian Stump: FindStat — the combinatorial statistics database. (2014)
    [arXiv]