Research

Members

• Prof. J.H. Lu
  Poisson geometry and Lie theory
• Prof. N. Mok
  Several complex variables, complex geometry, algebraic geometry
• Prof. T.W. Ng
  Geometric function theory and several complex variables
• Dr. Z. Hua
  Algebraic geometry
• Dr. K.K. Wong, Postdoctoral Fellow
  Complex algebraic and differential geometry. Hodge Theory. Functional transcendence theory

Activities

Selected Publications

• Lu J.-H. and Mi Y., Generalized Bruhat Cells and Completeness of Hamiltonian Flows of Kogan-Zelevinsky Integrable Systems. Lie Groups, Geometry, and Representation Theory, 315-365, Progress in Mathematics, 326, Birkhäuser Basel, 2018
• Lu J.-H., Mouquin, V., Double Bruhat cells and symplectic groupoids, Transformation Groups, 23 (2018), p.765-800
• Lu J.-H., Mouquin, V., Mixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras, International Mathematics Research Notices, 2017 (2017), p.5919–5976
• Lu J.-H., Mouquin, V., On the T-leaves of some Poisson structures related to products of flag varieties, Advances in Mathematics, 306 (2017), p.1209-1261
• Mok N., Pila J., Tsimerman J., Ax-Schanuel for Shimura Varieties, Annals of Mathematics, to appear in 2019
• Mok N. and Zhang Y., Rigidity of pairs of rational homogeneous spaces of Picard number 1 and analytic continuation of geometric substructures on uniruled projective manifolds, Journal of Differential Geometry, to appear in 2019
• Chan S.T., Mok N., Holomorphic isometries of 𝔹^m into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals, Mathematische Zeitschrift, 286 (2017), p.679-700
• Mok N., Holomorphic isometries of the complex unit ball into irreducible bounded symmetric domains, Proceedings of the American Mathematical Society, 144 (2016), p.4515-4525
• Danielyan S.V., Guterman A.E. and Ng T.W., Integrability of diagonalizable matrices and a dual Schoenberg type inequality, Journal of Mathematical Analysis and Applications, 498, Issue 2, (2021), 124909, (22 pages), https://doi.org/10.1016/j.jmaa.2020.124909
• Ng T.W., Tang C.C. and Tsai J., The squeezing function on doubly-connected domains via the Loewner differential equation, Mathematische Annalen, (2020), (26 pages), https://doi.org/10.1007/s00208-020-02046-w
• Ng T.W., Wu C.F., Nonlinear Loewy Factorizable Algebraic ODEs and Hayman's Conjecture, Israel Journal of Mathematics, 229 (2019), p.1-38
• Ng T.W., Tsang C.Y., Chebyshev-Blaschke products: Solutions to certain approximation problems and differential equations, Journal of Computational and Applied Mathematics, 277 (2015), p.106-114
• Zheng Hua, Contraction algebra and singularity of three-dimensional flopping contraction, Mathematische Zeitschrift, 290 (2018), p.431-443
• Zheng Hua and Yukinobu Toda, Contraction algebra and invariants of singularities, International Mathematics Research Notices, 2018 (2018), p.3173-3198
• Zheng Hua, Alexander Polishchuk, Shifted Poisson structures and moduli spaces of complexes, Advances in Mathematics, 338 (2018), p.991 - 1037
• Zheng Hua, Chern–Simons functions on toric Calabi–Yau threefolds and Donaldson–Thomas theory, Pacific Journal of Mathematics, 277 (2015), p.119-147

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