Dr. Cheng research interests lie in the representation theory of Lie algebras and Lie superalgebras. His studies in the past include the relationship between the representation theory of classical Lie algebras and that of Lie superalgebras of classical types. He is especially interested in understanding the characters of modules over Lie superalgebras in general.
- B.A. in Mathematics (with highest distinction), M.S. in Mathematics 美國西北大學 1984 –1988
- Ph.D. in Mathematics, A.M. in Mathematics 美國哈佛大學 1988 – 1993
- Acting Director Institute of Mathematics Academia Sinica 2023/8-2024/4
- Acting Director Institute of Mathematics Academia Sinica 2018/8-2020/4
- Director Institute of Mathematics Academia Sinica 2015/8-2018/8
- Acting Director Institute of Mathematics Academia Sinica 2013/8 - 2015/8
- Deputy Director Institute of Mathematics Academia Sinica 2011/4 - 2013/8
- Joint Appointment Professor National Taiwan University 2006/8 - present
- Distinguished Research Fellow Academia Sinica 2013/4 - present
- Research Fellow Academia Sinica 2006/8 - 2013/3
- Professor National Taiwan University 2000/8 - 2006/7
- Visiting Professor University of Virginia 2003/8 - 2004/7
- Professor National Cheng-Kung University 1998/8 - 2000/7
- Visiting Scholar Massachusetts Institute of Technology 1997/9 - 1998/8
- Associate Professor National Cheng-Kung University 1994/8 - 1998/7
- Visiting Member Max-Planck-Institut für Mathematik 1993/10 – 1994/9
- 2011, The World Academy of Sciences TWAS Prize in Mathematics
- 2011, Academic Award of the Ministry of Education
- 2010, Khwarizmi International Award
- 2007, 2014, Academia Sinica Investigator Awards
- 1999, Academia Sinica Research Award for Junior Research Investigators
- 1997-1998, 1999-2000, 2011–2013, National Science Council Outstanding Research Awards
- Chih-Whi Chen & Shun-Jen Cheng , "Whittaker categories of quasi-reductive Lie superalgebras and principal finite W-superalgebras", Transformation Groups, 31 (1), 327-368, 2026-1 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Simple character formulas for finite $W$-superalgebras of type $A$", preprint, 2026-03 , Link
- Chih-Whi Chen, Shun-Jen Cheng, "Whittaker modules and representations of finite $W$-algebras of queer Lie superalgebras", preprint, 2026-01 , Link
- Chih-Whi Chen, Shun-Jen Cheng & Uhi Rinn Suh , "Whittaker modules of central extensions of Takiff superalgebras and finite supersymmetric $W$-algebras", Communications in Mathematical Physics, 407 (No. 1, Paper 13), 1-30, 2026-01 , Link, Link
- Shun-Jen Cheng, Weiqiang Wang, "Super Duality for Whittaker Modules and Finite W-algebras", Annals of Representation Theory, 2 (4), 505-535, 2025-09 , Link, Link
- Chih-Whi Chen, Shun-Jen Cheng, "Whittaker categories of quasi-reductive Lie superalgebras and quantum symmetric pairs", Forum of Mathematics, Sigma, 12 (e37 ), 2024-04 , Link
- Chih-Whi Chen, Shun-Jen Cheng, Volodymyr Mazorchuk, "Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras", Communications in Mathematical Physics, 401 (1), 717-768, 2023-06 , Link, Link
- Shun-Jen Cheng, Weiqiang Wang, "Character formulae in category $\mathcal O$ for exceptional Lie superalgebra $G(3)$", Kyoto Journal of Mathematics, 62, 719-751, 2022-12 , Link
- Shun-Jen Cheng, Kevin Coulembier, "Representation theory of a semisimple extension of the Takiff superalgebra", International Mathematics Research Notices, 2022 (18), 14454-14495, 2022 , Link
- Chih-Whi Chen, Shun-Jen Cheng, Li Luo, "Blocks and characters of $D(2|1;\zeta)$-modules of non-integral weights", Transformation Groups, 27, 1223-1250, 2022 , Link
- Chih-Whi Chen, Shun-Jen Cheng, Kevin Coulembier, "Tilting modules for classical Lie superalgebras", Journal of London Mathematical Society, 103 (2), 870-900, 2021-4 , Link, Link
- Chih-Whi Chen, Shun-Jen Cheng, Li Luo, "Blocks and characters of $G(3)$-modules of non-integral weights", Journal of Algebra, 588, 574-616, 2021-12 , Link, Link
- Shun-Jen Cheng, Bin Shu, Weiqiang Wang, "Modular representations of exceptional supergroups", Mathematische Zeitschrift, 219 (2), 635-659, 2019-03 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Character formulae in category $\mathcal O$ for exceptional Lie superalgebras $D(2|1;\zeta)$", Transformation Groups, 24 (3), 781-821, 2019 , Link, Link
- Shun-Jen Cheng, "Supercharacters of queer Lie superalgebras", Journal of Mathematical Physics, 58, 61701-61701, 2017 , Link
- Chih-Whi Chen, Shun-Jen Cheng, "Quantum group of type $A$ and representations of queer Lie superalgebra", Journal of Algebra, 473, 1-28, 2017 , Link
- Shun-Jen Cheng, Jae-Hoon Kwon, Weiqiang Wang, "Character formulae for queer Lie superalgebras and canonical bases of types $A/C$", Communications in Mathematical Physics, 352, 1091-1119, 2017 , Link
- Shun-Jen Cheng, Jae-Hoon Kwon, "Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras", Advances in Mathematics, 304, 1296-1329, 2017 , Link
- Shun-Jen Cheng, Jae-Hoon Kwon, "Finite-dimensional half-integer weight modules over queer Lie superalgebras", Communications in Mathematical Physics, 346, 945-965, 2016 , Link
- Shun-Jen Cheng, Jae-Hoon Kwon, Weiqiang Wang, "Irreducible characters of Kac-Moody Lie superalgebras", Proceedings of the London Mathematical Society, 110 (1), 108-132, 2015 , Link
- Shun-Jen Cheng, Ngau Lam, Weiqiang Wang, "Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras", Duke Mathematical Journal, 164 (4), 617-695, 2015 , Link
- Shun-Jen Cheng, Volodymyr Mazorchuk, Weiqiang Wang, "Equivalence of blocks for the general linear Lie superalgebra", Letters in Mathematical Physics, 103 (12), 1313-1327, 2013 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Dualities and Representations of Lie Superalgebras", Graduate Studies in Mathematics 144, American Mathematical Society, 302 pp. ISBN: 978-0-8218-9118-6, 2012 , Link
- Shun-Jen Cheng, Ngau Lam, Weiqiang Wang, "Super Duality for General Linear Lie Superalgebras and Applications", Proceedings of Symposia in Pure Mathematics, American Mathematical Society, 86, 113-136, 2012 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Dualities for Lie superalgebras, Lie Theory and Representation Theory", In: Surveys of Modern Mathematics 2, International Press, Boston, 1-46, 2012 , Link
- Shun-Jen Cheng, Ngau Lam, Weiqiang Wang, "Super duality and irreducible characters of ortho-symplectic Lie superalgebras", Inventiones Mathematicae, 183 (1), 189-224, 2011 , Link
- Shun-Jen Cheng, Ngau Lam, "Irreducible Characters of General Linear Superalgebra and Super Duality", Communications in Mathematical Physics, 298 (3), 645-672, 2010 , Link
- Shun-Jen Cheng, Jae-Hoon Kwon, Weiqiang Wang, "Kostant homology formulas for oscillator modules of Lie superalgebras", Advances in Mathematics, 224 (4), 1548-1588, 2010 , Link
- Shun-Jen Cheng, Jae-Hoon Kwon, Ngau Lam, "A BGG-type resolution for tensor modules over general linear superalgebra", Letters in Mathematical Physics, 84 (1), 75-87, 2008 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Remarks on modules of the ortho-symplectic Lie superalgebras", Bulletin of the Institute of Mathematics Academia Sinica, 3 (3), 353-372, 2008 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Brundan-Kazhdan-Lusztig and Super Duality Conjectures", Publications of the Research Institute for Mathematical Sciences, 44 (4), 1219-1272, 2008 , Link
- Shun-Jen Cheng, Jae-Hoon Kwon, "Howe Duality and Kostant Homology Formula for infinite-dimensional Lie Superalgebras", International Mathematics Research Notices, 2008 (rnn085 ), 1-52, 2008 , Link
- Shun-Jen Cheng, David G. Taylor, Weiqiang Wang, "The Bloch-Okounkov Correlation Functions of negative Levels", Journal of Algebra, 319 (1), 457-490, 2008 , Link
- Shun-Jen Cheng, Weiqiang Wang, R.B. Zhang, "Super Duality and Kazhdan-Lusztig Polynomials", Transactions of the American Mathematical Society, 360 (11), 5883-5924, 2008 , Link
- Shun-Jen Cheng, Weiqiang Wang, "The correlation functions of vertex operators and Macdonald polynomials", Journal of Algebraic Combinatorics, 25 (1), 43-56, 2007 , Link
- Shun-Jen Cheng, Weiqiang Wang, R.B. Zhang, "A Fock Space Approach to Representation Theory of osp(2|2n)", Transformation groups, 12 (2), 209-225, 2007 , Link
- Shun-Jen Cheng, Ngau Lam, R.B. Zhang, "Character Formula for infinite-dimensional unitarizable Modules of the general linear Superalgebra", Journal of Algebra , 273 (2), 780-805, 2004 , Link
- Shun-Jen Cheng , R. B. Zhang, "Howe Duality and Combinatorial Character Formula for Orthosymplectic Lie Superalgebras", Advances in Mathematics, 182 (1), 124-172, 2004 , Link
- Shun-Jen Cheng, R. B. Zhang, "Analogue of Kostant's u-cohomology Formula for general linear Superalgebra", International Mathematics Research Notices , 2004 (1), 31-53, 2004 , Link
- Shun-Jen Cheng, Weiqiang Wang, "The Bloch-Okounkov Correlation Functions at higher Levels", Transformation Groups, 9 (2), 133-142, 2004 , Link
- Shun-Jen Cheng, "Gelfand-Tsetlin Pattern and Strict Partitions", Letters in Mathematical Physics , 64 (1), 23-30, 2003 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Lie Subalgebras of Differential Operators on the Super Circle", Publications of the Research Institute for Mathematical Sciences, 39 (3), 545-600, 2003 , Link
- Shun-Jen Cheng, Ngau Lam, "Infinite-dimensional Lie Superalgebras and Hook Schur Functions", Communications in Mathematical Physics , 238 (1), 95-118, 2003 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Howe Duality for Lie Superalgebras", Compositio Mathematica , 128 (1), 55-94, 2001 , Link
- Shun-Jen Cheng, Ngau Lam, "Finite conformal modules over N=2,3,4 superconformal algebras", Journal of Mathematical Physics , 42 (2), 906-933, 2001 , Link
- Shun-Jen Cheng, Weiqiang Wang, "Remarks on Schur-Howe-Sergeev Duality", Letters in Mathematical Physics , 52 (2), 143-153, 2000 , Link
- Shun-Jen Cheng, Victor G. Kac, Minoru Wakimoto, "Extensions of Neveu-Schwarz conformal modules", Journal of Mathematical Physics , 41 (4), 2271-2294, 2000 , Link
- Shun-Jen Cheng, Victor G. Kac, "Structure of some Z-graded Lie superalgebras of vectorfields", Transformation Groups, 4 (2月3日), 219-272, 1999 , Link
- Shun-Jen Cheng, Victor G. Kac, "Generalized Spencer Cohomology and Filtered Deformations of Z-graded Lie superalgebras", Advances in Theoretical and Mathematical Physics, 2 (5), 1141-1182, 1998 , Link
- Shun-Jen Cheng, Victor Kac, Minoru Wakimoto, "Extensions of conformal modules", In: Topological field theory, primitive forms and related topics, M. Kashiwara et al eds., Birkhauser, Progress in Mathematics , 160, 79-130, 1998 , Link
- Shun-Jen Cheng, Victor Kac, "Conformal Modules", Asian Journal of Mathematics, 1 (1), 181-193, 1997 , Link
- Shun-Jen Cheng & Victor G. Kac, "A New N=6 Superconformal Algebra", Communications in Mathematical Physics , 186 (1), 219-231, 1997 , Link
- Shun-Jen Cheng, "Superconformal algebras and Affine Algebras with Extended symmetry ", In: First International Tainan-Moscow Algebra Workshop, Y. Fong et al eds, de Gruyter, Berlin, 199-206, 1996
- Shun-Jen Cheng, "Construction of N=2 Superconformal Algebras from Affine Algebras with Extended Symmetry I", Letters in Mathematical Physics, 33 (1), 23-31, 1995 , Link
- Shun-Jen Cheng, "Differentiably simple Lie superalgebras and representations of semisimple Lie superalgebras", Journal of Algebra, 73 (1), 1-43, 1995 , Link
- Shun-Jen Cheng, "Representations of central extensions of differentiably simple Lie superalgebras", Communications in Mathematical Physics , 154 (3), 555-568, 1993 , Link