Published papers

On the global nilpotent cone of P¹, J. Math. Kyoto Univ. 42 no.4 625--630 (2002)
A Borel-Weil-Bott type theorem for group completions, J. Algebra 259 no.2 572--580 (2003)
Equivariant vector bundles on group completions, J. reine angew. Math. 581 71--116 (2005)
Integral closure of invariant ideals, toroidal resolution, and equivariant vector bundles, J. pure appl. Algebra 204 no.1 106--132 (2006)
On the combinatorics of unramified admissible modules, Publ. Res. Inst. Math. Sci. 42 589--602 (2006) errata
An exotic Deligne-Langlands correspondence for symplectic groups, Duke Math. J. 148 no.2 305--371 (2009) errata
Deformations of nilpotent cones and Springer correspondences, Amer. J. Math. 133 no.2 519--553 (2011)
(w/ Dan Ciubotaru) Tempered modules in exotic Deligne-Langlands correspondences, Adv. Math. 226 no.2 1538--1590 (2011)
(w/ Satoshi Naito and Daisuke Sagaki) Polytopal estimate of Mirkovi\'c-Vilonen polytopes lying in a Demazure crystal, Adv. Math. 226 no.3 2587--2617 (2011)
(w/ Dan Ciubotaru and Midori Kato) On characters and formal degrees of discrete series of affine Hecke algebras of classical types, Invent. Math. 187 no.3 589--635 (2012) corrected version
(w/ Satoshi Naito and Daisuke Sagaki) Tensor products and Minkowski sums of Mirkovic-Vilonen polytopes, Transform. Groups 17 no.1 195--207 (2012)
Poincare-Birkoff-Witt bases and Khovanov-Lauda-Rouquier algebras, Duke Math. J. 163 no.3 619--663 (2014) corrected version
A homological study of Green polynomials, Ann. Sci. Ecole Norm. Sup. (4) 48 no. 5 1035--1074 (2015)
An algebraic study of extension algebras, Amer. J. Math. 139 no. 3 567--615 (2017)
Demazure character formula for semi-infinite flag varieties, Math. Ann. 371 (3) 1769--1801 (2018)
(w/ Satoshi Naito and Daisuke Sagaki) Equivariant K-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula, Duke Math. J. 169 (13) 2421--2500 (2020)
(w/ Evgeny Feigin and Ievgen Makedonskyi) Representation-theoretic realizations of non-symmetric Macdonald polynomials at infinity, J. reine angew. Math. 764 181-216 (2020)
Frobenius splitting of thick flag manifolds of Kac-Moody algebras, Int. Math. Res. Notices 2020 (17) 5401–-5427 (2020)
On the monoidality of Saito reflection functors, Int. Math. Res. Notices 2020 (22) 8600–-8623 (2020).
(w/ Sergey Loktev, with an appendix by Ryosuke Kodera) A Weyl module stratification of integrable representations, Comm. Math. Phys. 368 113–-141 (2019)
(w/ Ivan Cherednik) Nonsymmetric Rogers-Ramanujan sums and thick Demazure modules, Adv. Math. 374 Article Number 107335 (2020)

Published (refereed) proceedings

On a geometric setting of DAHAs of type A₁⁽¹⁾, In: RIMS Kokyuroku Bessatsu B8, 115--129 (2008)
Exotic nilpotent cones and affine Hecke algebras (a survey paper in Japanese), Sugaku 65 no.1 24--44 (2013)
Representations of affine Hecke algebras and Springer representations (a survey paper in Japanese), In: RIMS Kokyuroku Bessatsu B35, 141--150 (2012)
The formal model of semi-infinte flag manifolds, Proceedings of the ICM 2022 vol. III 1600--1622 (2023)

Some preprints

Loop structure on equivariant K-theory of semi-infinite flag manifolds, arXiv:1805.01718v8 (last update 7/Feb/2024)
Frobenius splitting of Schubert varieties of semi-infinite flag manifolds, arXiv:1810.07106v6, to appear in Forum Math. Pi
On quantum K-groups of partial flag manifolds, arXiv:1906.09343v2 (last update 8/Aug/2020)
Darboux coordinates on the BFM spaces, arXiv:2008.01310
Symmetric functions and Springer representations, arXiv:2011.08374v3, to appear in Indag. Math. (N.S.)
(w/ Anton Khoroshkin and Ievgen Makesonskyi) Categorification of DAHA and Macdonald polynomials, arXiv:2103.10009
Higher level BGG reciprocity for current algebras, arXiv:2207.07447
A geometric realization of Catalan functions, arXiv:2301.00862
Kostka polynomials of G(l,1,m), arXiv:2404.06268

最終更新日:2024年04月14日 by