my vita
MY Teaching
MY Research Interests
1. "An Analytic Compactification of Symplectic Group", Journal of Differential Geometry, Vol. 51 , No. 2 (1999), 375-399.
2. "Compactification of Classical Groups” Communications in Analysis and Geometry, Vol. 10, No.4, (2002), 709-740.
3. "Functions on Symmetric Spaces and Oscillator Representations" Journal of Functional Analysis, 244, 2007, (536-564).
4. “Bounds on Smooth Matrix Coefficients of L^2 spaces” to appear in Selecta Mathematica 2009
5.
"Symmetric Subgroup Action on Isotropic
Grassmanian", joint with Huajun
Huang, preprint (1-27).
1. On Matrix Valued Square Integrable Positive Definite Function (preprint)
1. "Theta Correspondence in Semistable Range: Construction and Irreducibility", Communications in Contemporary Mathematics, Vol 2, No 2 (2000) 255-283 .
2. "Nonvanishing of A Certain Sesquilinear Form in the Theta Correspondence” AMS Journal of Representation Theory, (2001) , 437-454.
3. "Unitary Representations and Theta Correspondence for Type I Classical Groups" , in Journal of Functional Analysis, Vol 199, Issue 1, (2003), 92-121.
4. "Compositions of Theta Correspondences , in Advances in Mathematics, 2005.
5. "Quantum Induction" (Transparencies: My talk at the International Congress of Mathematicians 2002)
6. Picard Group of Siegel Modular Threefolds and Theta Lifting (joint with J. W. Hoffman (LSU), this is really an application of theta lifting to algebraic geometry).
1. "Associated Varieties and Howe's N Spectrum" to appear in Pacific Journal of Mathematics
2. "Unipotent Representations and Quantum Induction"
5. “Unitary Representations and A Maximal Parabolic Subgroup”
6. Certain Induced Complementary Series of the Universal Covering of the Symplectic Groups
1.
"Modeling
Gene Expression with Differential Equations" , (joint with T. Chen (USC), G. Church (Harvard)), Pacific
Symposium on Biocomputing'99,
World Scientific, 29-40. See citations
of this paper (405 times so
far).
2. Equilibrium Submanifold for a Biological System, to appear in Discrete and Continuous Dynamical Systems Series B (joint with N. Kato (LSU)).
3. A systems model of vesicle trafficking in Arabidopsis pollen tubes (joint with N. Kato, A. Steger (LSU)), to appear in Plant Physiology.
1. "Reconstruction and Higher Dimensional Geometry" , Journal of Combinatorial Theory, Series B 97 2007, 421-429.
2. "Eigenvectors and Reconstruction," Electronic Journal of Combinatorics, Vol 14 (1), 2007.
Interesting Pictures,
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