- 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

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

- 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

- Invariant distributions of classical
groups,

Duke Math. Jour.**65**, No. 1 (1992), 85-119. - On certain small representations of indefinite
orthogonal groups, with
*,*

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**,__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__

**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)**

- Helmer
Aslaksen (NUS)
- Roger
Howe
(Yale)
- Raul
Gomez
(Cornell)
- Jing-Song
Huang
(Hong Kong UST)
- Dihua
Jiang (Minnesota)
- Soo
Teck Lee
(NUS)
- Jian-Shu
Li
(Hong Kong UST)
- Arthur Lim (Notre Dame)
- Jiajun Ma (Shanghai Jiao Tong
University)
- Kyo Nishiyama (Aoyama Gakuin)
- Hiroyuki Ochiai (Kyushu)
- Annegret
Paul
(Western Michigan)
- Gerald
Schwarz
(Brandeis)
- Binyong Sun (Chinese Academy)
- Eng-Chye Tan (NUS)
- Nolan
Wallach
(UCSD)

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

- 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)

- 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)

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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