Chen-Bo ZHU/朱程波/ZHU Chengbo

(1-page CV)

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
2014: Fellow, Singapore National Academy of Science

Research interests

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

Research projects

Invariant distributions
Singular unitary representations
Degenerate principal series and local theta correspondence
Geometry of theta lifting
Derived functor modules and transfer between real forms
Local uniqueness of models
Local theta lifting of generalized Whittaker models
First occurrence and conservation relations
Unipotent representations of real classical groups

(My Research in Pictures)

Selected publications/preprints

Invariant distributions of classical groups,
Duke Math. Jour. 65, No. 1 (1992), 85-119.
On certain small representations of indefinite orthogonal groups, with J.-S. Huang,
Representation Theory 1, (1997), 190-206.
Degenerate principal series and local theta correspondence, with S. T. Lee,
Trans. Amer. Math. Soc. 350, No. 12 (1998), 5017-5046.
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
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
Uniqueness of Bessel models: the Archimedean case, with D. Jiang and B. Sun,
Geom. Funct. Ana. 20, (2010), 690-709. Bessel_models.PDF
Multiplicity one theorems: the Archimedean case, with B. Sun, Annals of Math. 175, (2012), no. 1, 23-44. Multiplicity One. PDF
Local theta lifting of generalized Whittaker models associated to nilpotent orbits, with R. Gomez,
Geom. Funct. Ana. 24, (2014), 796-853. liftGWM.PDF
Conservation relations for local theta correspondence, with B. Sun, J. Amer. Math. Soc. 28, (2015), 939-983. conservation relations. PDF
Unipotent representations of real classical groups, with J.-J. Ma and B. Sun, preprint, 2017. unipotent representations. PDF

(Full list of publications)

Books edited

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.
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.
Representation Theory, Number Theory, and Invariant Theory, In Honor of Roger Howe on the Occasion of His 70th Birthday, Progress in Mathematics, Vol. 323, Jim Cogdell, Ju-Lee Kim and Chen-Bo Zhu (Eds.), Birkhäuser Basel, 2017.

Programs and Conferences

Workshop on Ergodic Theory and Dynamical Systems (in conjunction with Oppenheim Lecture 2017) (Feb 14-16, 2017 at NUS)
***** Workshop Photos
New Developments in Representation Theory (March 6-31, 2016 at IMS of NUS)
Representation Theory, Number Theory and Invariant Theory (in honor of Roger Howe) (June 1-5, 2015 at Yale)
Workshop on Representation Theory and Automorphic Forms (in conjunction with Oppenheim Lecture 2015) (Jan 27-29, 2015 at NUS)
Workshop on Representation Theory (July 21-23, 2014 at NUS)
Representation Theory Day (April 16, 2014 at NUS)
4th Singapore Mathematics Symposium (September 27, 2013 at NTU)
Number Theory Day (September 11, 2013 at NUS)
Asian Mathematical Conference 2013 Special Session: Algebra/Representation/Lie Theory (June 30-July 4, 2013 at Busan, Korea)
Branching Laws (March 11-31, 2012 at IMS of NUS)
Workshop on Geometry and Representation Theory (January 26-28, 2011 at NUS)
Workshop on Harmonic Analysis and Invariant Distributions (December 14-16, 2009 at NUS)
Workshop on Representation Theory and Automorphic Forms (June 25-26, 2008 at NUS)
60th Birthday Conference in Honor of Roger Howe (Jan 9-11, 2006 at NUS)
***** Photos from the Howe Conference
***** Volume from the Howe Conference, published by World Scientific
Asian Mathematical Conference 2005 (July 20-23, 2005 at NUS)
Lie Group Program at IMS of NUS (July 2002-Jan. 2003)
***** Volume from the Lie Group Program, published by World Scientific
NUS-JSPS Workshop on Algebra (July 9-13, 2001 at NUS)
Workshop on Representation Theory and Invariant Theory (March 20-22, 2000 at NUS)

Links in Mathematics

Mathematics on the web (AMS)
Other Mathematics Resources (Georgia State University)
Mathematics Department Web Servers (Florida State University)
Journals in Mathematics (AMS)

Links on Lie groups

Representation theorists (by Brian Boe at the University of Georgia)
Webpages of Lie theorists (Universite Paris 7)
Representation Theory (AMS Electronic Journal)
Real world applications of representation theory (by W.D.Joyner at the US Naval Academy)

What are Lie groups, Lie algebras and representations?

Lie group (Wikipedia)
Lie algebra (Wikipedia)
Group representation (Wikipedia)
Dual pair correspondence of representations (by myself, in Faculty of Science Newsletter, NUS, 2003)
Some aspects of unitary representations of classical groups (by myself, for AMC2005)
Understanding symmetries and their consequences (by myself, Science Lunch Talk, February 2006)