With Anton Nazarov
and Olga Postnova :
Skew Howe duality and limit shapes of Young diagrams .
J. Lond. Math. Soc., 109 (1) (2024) e12813.
[doi: 10.1112/jlms.12813 ]
[arXiv ]
With Willie Aboumrad :
On the structure and representation theory of \(q\)-deformed Clifford algebras .
Math. Z., 306 (2024), article 10.
[doi: 10.1007/s00209-023-03402-7 ]
[arXiv ]
With Shinsuke Iwao
and Kohei Motegi :
Free-fermions and canonical Grothendieck polynomials .
Algebraic Combin., 7 (1) (2024) pp. 245–274.
[doi: 10.5802/alco.332 ]
[arXiv ]
With Ajeeth Gunna:
Integrable systems and crystals for edge labeled tableaux .
J. Algebra, 644 (2024) pp. 152–190.
[doi: 10.1016/j.jalgebra.2023.12.031 ]
[arXiv ]
Cellular subalgebras of the partition algebra .
J. Combin. Algebra, to appear (2023).
[doi: 10.4171/JCA/84 ]
[arXiv ]
With Shinsuke Iwao
and Kohei Motegi :
Free fermionic probability theory and K-theoretic Schubert calculus .
Preprint, (2023).
[arXiv ]
With Eric Marberg :
Crystals for shifted key polynomials .
Preprint, (2023).
[arXiv ]
With Eric Marberg :
Key and Lascoux polynomials for symmetric orbit closures .
Preprint, (2023).
[arXiv ]
With Valentin Buciumas :
Quasi-solvable lattice models for \(\mathrm{Sp}_{2n}\) and \(\mathrm{SO}_{2n+1}\) Demazure atoms and characters .
Forum Math. Sigma, 10 (2022) e53.
[doi: 10.1017/fms.2022.49 ]
[arXiv ]
With Oliver Pechenik :
K-theoretic crystals for set-valued tableaux of rectangular shapes .
Algebraic Combin., 5 (3) (2022), pp. 515–536.
[doi: 10.5802/alco.221 ]
[arXiv ]
With Ben Salisbury :
Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra .
Kyoto J. Math., 62 (2) (2022) pp. 377–401.
[doi: 10.1215/21562261-2022-0010 ]
[arXiv ]
With Rekha Biswal :
Kirillov–Reshetikhin crystals \(B^{7,s}\) for type \(E_7^{(1)}\) .
Comm. Algebra, 50 (2) (2022) pp. 508–523.
[doi: 10.1080/00927872.2021.1959923 ]
[arXiv ]
With Ben Brubaker ,
Pavlo Pylyavskyy ,
and Gabriel Frieden :
Crystal invariant theory II: Pseudo-energies . Preprint, (2022).
[arXiv ]
With Cara Monical and Oliver Pechenik :
Crystal structures for symmetric Grothendieck polynomials .
Transform. Groups, 26 (3) (2021) pp. 1025–1075
[doi: 10.1007/s00031-020-09623-y ]
[arXiv ]
With Ben Salisbury :
Rigged configurations and the \(\ast\)-involution for generalized Kac–Moody algebras .
J. Algebra, 573 (2021) pp. 148–168.
[doi: 10.1016/j.jalgebra.2020.12.035 ]
[arXiv ]
With Katsuyuki Naoi :
Existence of Kirillov–Reshetikhin crystals for near adjoint nodes in exceptional types .
J. Pure Appl. Algebra, 225 (5) (2021) 106593.
[doi: 10.1016/j.jpaa.2020.106593 ]
[arXiv ]
With Mee Seong Im :
The regularity of almost-commuting partial Grothendieck–Springer resolutions and parabolic analogs of Calogero–Moser varieties .
J. Lie Theory, 31 (1) (2021) pp. 127–148.
[arXiv ]
With Ben Brubaker ,
Pavlo Pylyavskyy ,
and Gabriel Frieden :
Crystal invariant theory I: Geometric RSK .
Preprint, (2021).
[arXiv ]
Appendix to:
Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules
by Marc Besson and Jiuzu Hong arXiv ]
Uniform description of the rigged configuration bijection .
Selecta Math. (N.S.), 26 (42) (2020).
[doi: 10.1007/s00029-020-00564-8 ]
[arXiv ]
[view-only ]
With Valentin Buciumas :
Double Grothendieck polynomials and colored lattice models .
Int. Math. Res. Not. IMRN., rnaa327 (2020).
[doi: 10.1093/imrn/rnaa327 ]
[arXiv ]
With Valentin Buciumas and Katherine Weber :
Colored five-vertex models and Lascoux polynomials and atoms .
J. Lond. Math. Soc., 102 (3) (2020) pp. 1047–1066.
[doi: 10.1112/jlms.12347 ]
[arXiv ]
With Erik Aas and Darij Grinberg :
Multiline queues with spectral parameters .
Comm. Math. Phys., 374 (3) (2020) pp. 1743–1786.
[doi: 10.1007/s00220-020-03694-4 ]
[arXiv ]
[view-only ]
With Graham Hawkes :
Crystal structures for canonical Grothendieck functions .
Algebraic Combin., 3 (3) (2020) pp. 727–755.
[doi: 10.5802/alco.111 ] [arXiv ]
With Rekha Biswal :
Existence of Kirillov–Reshetikhin crystals for multiplicity free nodes .
Publ. Res. Inst. Math. Sci., 56 (4) (2020) pp. 761–778.
[doi: 10.4171/PRIMS/56-4-4 ]
[arXiv ]
With Emily Gunawan :
Kirillov–Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials .
Algebr. Represent. Theory, 23 (4) (2020) pp. 1609–1635.
[doi: 10.1007/s10468-019-09904-5 ]
[arXiv ]
[view-only ]
With Kohei Motegi :
Refined dual Grothendieck polynomials, integrability, and the Schur measure .
Preprint, (2020).
[arXiv ]
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 ]
With Xuan Liu :
A uniform approach to soliton cellular automata using rigged configurations . Ann. Henri Poincaré, 20 (4) (2019) pp. 1175–1215.
[doi: 10.1007/s00023-019-00773-8 ]
[arXiv ]
[view-only ]
SageMath code
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 ]
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 ]
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 ]
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 ]
With Se-jin Oh :
Simplicity of tensor products of Kirillov–Reshetikhin modules: nonexceptional affine and G types .
Preprint, (2019).
[arXiv ]
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 ]
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 ]
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 ]
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 ]
Rigged configurations as tropicalizations of loop Schur functions .
J. Integrable Syst., 2 (1) (2017) pp. 1–24.
[doi: 10.1093/integr/xyw015 ]
[arXiv ]
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 ]
With Ben Salisbury :
Rigged configurations for all symmetrizable types .
Electron. J. Combin., 24 (1) (2017) #P1.30.
[url ]
[doi: 10.37236/6028 ]
[arXiv ]
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 ]
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 ]
With Anne Schilling :
Crystal structure on rigged configurations and the filling map . Electron. J. Combin., 22 (1) (2015) #P1.73.
[url ]
[doi: 10.37236/4674 ]
[arXiv ]
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 ]
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 ]
With Dan Betea
and Anton Nazarov :
Limit shapes for skew Howe duality . Sem. Loth. Combin. 89B , #35 (2023).
[link ]
[arXiv ]
With Anatol N. Kirillov :
Hook-content formula using excited Young diagrams . (2019).
[arXiv ]
With Chris Berg, Viviane Pons ,
Jessica Striker , and
Christian Stump :
FindStat — the combinatorial statistics database . (2014)
[arXiv ]