Xiang Tang

Assistant Professor

Office: Cupples I, 112B
Phone: (314)9359488
Fax: (314)9356839
Email address: xtang@math.wustl.edu
Post:  Department of Mathematics
           Washington University
           1 brookings Dr.  
           St. Louis, MO, 63130        

Teaching:

1. 2006, Math 217, Differential Equations, Section 01: 9-10, Section 02: 11-12 Fall.
2. 2008, Math 217, Differential Equations, Section 01:10-11, Spring.
3. 2008, Math  563, Topics in Lie Groups and Algebras I: Introduction to Lie algebras and Lie groups, Spring.

Research Interest: symplectic geometry, noncommutative geometry and mathematical physics.

 Publications:

  1. Thermodynamics of the General Diffusion Process: Time-Reversibility and Entropy Production (with H. Qian & M. Qian),Journal of Statistical Physics, Vol. 107, Nos. 5/6, June 2002.
  2. Quantiization and Morita Equivalence for Constant Dirac Structures on Tori (with A. Weinstein), Ann. Inst. Fourier, 54, 5 (2004).
  3. A Counter Example of Invariant Deformation Quantization, Travaux mathematiques. Fasc. XVI, 273-283, av. Math., XVI Univ. Luxemb., Luxembourg, 2005.
  4. Homology of formal deformations of proper etale Lie groupoids (with N. Neumaier, M. Pflaum, and H. Posthum), J. Reine Angew. Math. 593 (2006), 117-168.
  5. Deformation Quantization of Pseudo Symplectic(Poisson) Groupoids, Geom. Funct. Anal.16 (2006), no. 3, 731-766.
  6. A note on Q-algebra and quantization, Lett. Math. Phys. 75 (2006), no. 1, 49--61.
  7. Hopfish algebras (with A. Weinstein, and C. Zhu), Pacific J. Math. 231 (2007), no. 1, 193--216.
  8. An algebraic index theorem for orbifolds (with M. Pflaum, and H. Posthuma), Adv. Math. 210 (2007), no. 1, 83--121.
  9. Poisson geometry and deformation quantization near a pseudoconvex boundary (with E. Leichtnam, and A. Weinsteins), J. Eur. Math. Soc. (JEMS) 9 (2007), no. 4, 681--704.
  10. Rankin-Cohen brackets and formal quantization (with P. Bieliavsky, and Y. Yao), Adv. Math. 212 (2007), no. 1, 293--314.
  11. Hopfish structure and modules over irrational rotation algebras (with C. Blohmann and A.Weinstein), to appear in Contemporary Mathematics.
  12. Quantization and holomorphic anomaly (with A. Schwarz), J. High Energy Phys., 03 (2007).
  13. Gelfand-Fuchs cohomology of invariant formal vector fields (with I. Shapiro), to appear in Math. Res. Lett.

 Preprints:

  1. Noncommutative Poisson structures on Orbifolds (with G. Halbout), preprint: math.QA/0606436.
  2. Quantization of Poisson-Hopf stacks associated with group Lie bialgebras (with G. Halbout), preprint: math.QA/0703359.
  3. Orbifold cup products and ring structures on Hochschild cohomologies (with M. Pflaum, H. Posthuma, and H. Tseng), preprint: arxiv.0706.0027.
  4. Equivariant Lefschetz number of differential operators (with G. Felder), preprint: arxiv.0706.1021.
  5. A universal deformation formula for Connes-Moscovici's Hopf algebra without any projective structure (with Y. Yao), preprint: arxiv.0708.1745.
  6. Hopf algebroids and secondary characteristic classes (with J. Kaminker), preprint: arXiv:0711.3177.

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