樊赵兵 - 哈尔滨工程大学

个人简介

Professor, Harbin Engineering University, China, 2015-present Visiting Assistant Professor, Kansas State University, United States, 2014-2015, Associate Postdoctoral, University at Buffalo, SUNY, United States, 2012-2014, Ph.D. Mathematics, Kansas State University, United States 2012

近期论文

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Research interests Geometric representation theory, Hall algebras, Quantum group, Canonical basis, Categorification, Schur-Weyl duality, Character sheaves. Selected Publications (1) (Joint with C. Lai, Y. Li, L. Luo and W. Wang) Affine Hecke algebras and quantum symmetric pairs, Mem. Amer. Math. Soc. 281 (2023), no. 1386, 99pp (2) (Joint with C. Lai, Y. Li, L. Luo and W. Wang) Affine flag varieties and quantum symmetric pairs, Mem. Amer. Math. Soc. 265 (2020), no. 1285, 123pp. (3) (Joint with Y. Li) A geometric setting of quantum osp(1|2), Trans. Amer. Math. Soc. 367(2015), no. 11, 7895-7916. (4) (Joint with Y. Li) Two-parameter quantum algebras, canonical bases and categorifications, Int. Math. Res. Notices, 16 (2015), 7016-7062. (5) (Joint with Y. Li) Geometric Schur-Weyl duality of classical type II, Trans. Amer. Math. Soc, Series B. 2 (2015), 51-92. (6) (Joint with S. Clark, Y. Li and W. Wang) Quantum supergroups III. Twistors, Comm. Math. Phys., 332 (2014), 415-436. (7) (Joint with Y. Li) Positivity of canonical bases under comultiplication, Int. Math. Res. Notices, no. 9,6871-6931. (8) (Joint with Y. Li) Affine flag varieties and quantum symmetric pairs, II. Multiplication formula, J. Pure Appl. Algebra 223 (2019), no. 10, 4311-4347. (9) (Joint with Lai, Li, Luo, Wang and Watanabe) Quantum Schur duality of affine type C with three parameters, Math. Res. Let. 27 (2020), no. 1, 79-114. (10) (Joint with J. Xing) Drinfeld double of deformed quantum algebra, Journal of algebra, 534(2019), 358-383 (11) (Joint with H. Ma and H. Xiao) Equivariant K-theory approach to i-quantum groups, Publ. Res. Inst. Math. Sci. 58, no. 3, 635-668. (12) (Joint with S. Kang, Y. Kim and B. Tong) Classical limit of Quantum Borcherds-Bozec Algebras, J. Pure Appl. Algebra, 2020:106502. (13) (Joint with S. Kang, Y. Kim and B. Tong) Abstract crystals for quantum Borcherds-Bozec algebras, J. Lond. Math. Soc. (2) 104, no. 2, 803-822. (14) (Joint with S. Kang, Y. Kim and B. Tong) Global bases for quantum Borcherds-Bozec algebras，Mathematische Zeitschrift, 2022，1-27. (15) (Joint with B. Tong) Braid group actions of quantum Borcherds-Bozec algebras, Journal of algebra, 621 (2023), 92-115. (16) (Joint with J. Geng and S. Han) Differential operator approach to i-quantum groups. Acta Mathematica Sinica, English Series (to appear). (17) (Joint with S. Han, S. Kang and Y. Kim) Perfect Basis Theory for Quantum Borcherds-Bozec Algebras (18) (Joint with S. Han, S. Kang and Y. Shin) Young wall construction of level-1 highest weight crystals over U_q(D_4^{(3)}) and Uq(G^{(1)}_2), Journal of algebra (to appear). (19) (Joint with J. Geng and S. Han) Differential operator realization of braid group action on i-quantum groups (20) (Joint with S. Han, S. Kang and Y. Kim) A New Young Wall Realization of B(\lambda) and B(\infty), Algebra Colloquium 30 (2023), No. 3 503–540. Grants (1) Natural Science Foundation of Heilongjiang for Distinguished Young Scholars, China, Grant No. JQ2020A001, 2020-2023 (2) National Nature Science Foundation of China, Grant No. 11671108, 2017-2020 (3) Nature Science Foundation of Heilongjiang province, Grant No. LC2017001, 2017-2019 (4) Fundamental Research Funds for the central universities Grant No. GK2110260131, 2015-2018. (5) National Nature Science Foundation of China, Grant No. 12271120, 2023-2026