ZHU Chengbo/Chen-Bo ZHU/朱程波

Education

  • B.S. (1984), Zhejiang University, China
  • Ph.D. (1990), Yale University, USA (Thesis advisor: Roger Howe) 

              *** Yale thesis: Two topics in harmonic analysis on reductive groups

                                                  Functional equations satisfied by intertwining operators of reductive groups part1. PDF

                                                  Invariant distributions of classical groups part2. PDF

 

Career history

 

  • 1990-1991: Visiting Assistant Professor, University of Maryland at College Park, USA
  • 1991-current: Lecturer, Senior Lecturer, Associate Professor, Professor, National University of Singapore

 

Awards/Honors

 

  • 1998: Young Scientist Award, Singapore National Academy of Science
  • 2001: Young Researcher Award, National University of Singapore

Research interests

  • Lie groups, harmonic analysis, invariant theory
  • Representations of real reductive groups

Recent projects

  • Invariant distributions
  • Local theta correspondence
  • Singular unitary representations
  • Derived functor modules
  • "Unipotent" representations
  • Local uniqueness of models

Selected publications

  1. Invariant distributions of classical groups,
    Duke Math. Jour.
    65, No. 1 (1992), 85-119.
  2. On the decay of matrix coefficients for exceptional groups, with J.-S. Li,
    Mathematische Annalen
    305, (1996), 249-270.
  3. On certain small representations of indefinite orthogonal groups, with J.-S. Huang
    Representation Theory
    1, (1997), 190-206.
  4. Degenerate principal series and local theta correspondence, with S. T. Lee,   
    Trans. Amer. Math. Soc.
    350, No. 12 (1998), 5017-5046.
  5. Eigendistributions for orthogonal groups and representations of symplectic groups, with R. Howe, 
    J. Reine. Angew. Math.
     545, (2002), 121-166. eigendistributions.pdf
  6. Representations with scalar K-types and applications,
    Israel Jour. Math.
    135, (2003), 111-124.  scalarKtypes.pdf
  7. Theta lifting of unitary lowest weight modules and their associated cycles, with K. Nishiyama, 
    Duke Math. Jour.
    125, No. 3, (2004), 415-465. liftLWM.pdf
  8. Transfer of unitary representations, with N. Wallach,    
    Asian Jour. Math.
    8, No. 4, (2004), 861-880 (special issue in memory of A. Borel). transfer. PDF
  9. Multiplicity one theorems: the Archimedean case, with B. Sun,                                                                                                                                                                                                      Annals Math. 175, (2012), no. 1, 23-44. Multiplicity One. PDF
  10. Conservation relations for local theta correspondence, with B. Sun, preprint, 2012. conservation relations. PDF

(Complete list of publications)  

Books edited

  1. Representations of Real and p-adic Groups, Vol 2, Lecture Notes Series, Institute for Mathematical Sciences, NUS, edited by Eng-Chye Tan and Chen-Bo Zhu, World Scientific Publishing, 2004.
  2. Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory: In Honor of Roger E. Howe, Vol 12, Lecture Notes Series, Institute for Mathematical Sciences, NUS, edited by Jian-Shu Li, Eng-Chye Tan, Nolan Wallach and Chen-Bo Zhu, World Scientific Publishing, 2007.

Programs and Conferences

Links to co-authors

Links in Mathematics

Links on Lie groups

What are Lie groups, Lie algebras and representations?

Other links

 

 


ZHU Chengbo/Chen-Bo ZHU
Department of Mathematics
National University
of Singapore
Block S17, 10 Lower Kent Ridge Road
Singapore 119076

Republic of Singapore

Email: matzhucb@nus.edu.sg

(65) 6516-3340 (office)
(65) 6779-5452 (fax)


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ZHU Chengbo <matzhucb@nus.edu.sg>

Last Modified: January, 2012