Kayue Daniel Wong

Assistant Professor

Education Background

Ph.D. in Mathematics (Cornell University)

M.Math in Mathematics (University of Oxford)

Research Field
Representation theory of lie groups and lie algebras
Class
Mathematics and Applied Mathematics
Personal Website
Email
danielwong@cuhk.edu.cn
Biography

Professor Wong obtained his Master's degree in Mathematics from the University of Oxford in 2007, and his Ph.D. degree from Cornell University in 2013. Afterwards, he conducted postdoctoral research at Hong Kong University of Science and Technology (2013–2017) and Cornell University (2017-2018). Since August 2018, he works as an Assistant Professor at the Chinese University of Hong Kong, Shenzhen. His research interest is representation theory of reductive Lie groups.

Academic Publications
  1. (with K.Y. Chan) On the Lefschetz principle for GL(n,C) and GL(m,Qp), Israel Journal of Mathematics, accepted for publication
  2. (with D. Barbasch) Admissible modules and normality of classical nilpotent varieties, Festschrift in honor of Toshiyuki Kobayashi Volume 1, Progress in Mathematics 357, to appear
  3. (with H. Zhang) The unitary dual of U(p,2), International Mathematics Research Notices IMRN 14 (2024), 10678 - 10707
  4. On some conjectures of the unitary dual of U(p,q), Advances in Mathematics 442 (2024), 109584
  5. (with J.-S. Huang and H. He) Transfer of unitary highest weight modules and small unipotent representations, Acta Mathematica Sinica (English Series) 40(3) (2024), 772-791
  6. (with C.P. Dong) Dirac Series of GL(n,R), International Mathematics Research Notices IMRN 12 (2023), 10702–10735
  7. Unipotent representations of exceptional Richardson orbits, Journal of Lie Theory 33 (2023), No. 4, 1087-1111
  8. (with C.P. Dong) Dirac Series for Complex E7, Forum Mathematicum 34(4) (2022), 1033–1049
  9. (with C.P. Dong) Dirac index of some unitary representations of Sp(2n,R) and SO*(2n), Journal of Algebra 603 (2022), 1 - 37
  10. (with C.P. Dong) Scattered Representations of Complex Classical Lie Groups, International Mathematics Research Notices IMRN 14 (2022), 10431–10457
  11. (with D. Barbasch and C.P. Dong) Dirac series for complex classical Lie groups: A multiplicity-one theorem, Advances in Mathematics 403 (2022), 108370
  12. (with C.P. Dong) On the Dirac Series of U(p,q), Mathematische Zeitschrift 298 (2021), 839 - 859
  13. (with C.P. Dong) Scattered Representations of SL(n,C), Pacific Journal of Mathematics 309 (2020), No. 2, 289 - 312
  14. (with J-S. Huang) A Casselman-Osborne Theorem for Rational Cherednik Algebras, Transformation Groups 23(1) (2018), 75 - 99
  15. Some Calculations of the Lusztig-Vogan bijection for Classical Nilpotent Orbits, Journal of Algebra 487 (2017), 317 - 339
  16. On Quantization of a Nilpotent Orbit Closure in G2, Proceedings of the American Mathematical Society 144 (2016), 5097 - 5102
  17. Quantization of Special Symplectic Nilpotent Orbits and Normality of their Closures, Journal of Algebra 462 (2016), 37 - 53
  18. Regular Functions of Symplectic Spherical Nilpotent Orbits and their Quantizations, Representation Theory 19 (2015), 333 -346