RESEARCH INTERESTS:
Algebraic Topology and group representation theory.
Inparticular unstable homotopy theory, simplicial homotopy theory,
combinatorial group theory, braid groups,
Hopf algebras, representation theory of
symmetric groups
with applications
in homotopy theory and configuration spaces.
Here is a chart of my
research interests. This may just give you basic information what we intend to
do.
EDUCATION:
Ph.D.,June, 1995, University of Rochester,1992-95.
Thesis title: On Combinatorial Descriptions of
Homotopy Groups and the
Homotopy Theory of mod 2 Moore Spaces.
Thesis advisor: Frederick Cohen.
M.A.,May, 1993, University of Rochester, 1992-95.
M.S., June, 1989, Nankai University, 1986-89.
Undergraduate, Lishui Normal College, 1980-83.
ACADEMIC POSITIONS:
Professor with tenure, National University of Singapore, 2009-present.
Associate Professor with tenure, National University of Singapore, 2004-2009.
Assistant Professor, National University of Singapore,
1999-2004
Lecturer, University of Pennsylvania, 1997-1999.
Post-doctor, University of Toronto and York University, 1996-97.
Post-doctor, Mathematical Sciences Research Institute, 1995-96.
Instructor, Nankai University, 1989-92.
PROFESSIONAL EXPERIENCE:
Visitor, University of Rochester, January and April 2005
Visitor, University of Toronto, Febuary-March, 2005
Visiting Professor, Universit?Montpellier II, December 2003
Visitor, University of Rochester, October 2000.
Visitor, University of Toronto, May 2000.
Visitor, University of Toronto, summer 1997.
Member, the Fields Institute for Research in Mathematical Sciences, 1996-97.
Member, the Fields Institute for Research in Mathematical Sciences, 1995-96.
Member, Mathematical Sciences Research Institute, 1995-96.
SELECTED INVITED TALKS
CONFERENCES:
- One-hour Invited Main Speaker, the Satellite Conference of the International Congress
of Mathematicians on Algebraic Topology, Suzhou, China,
30 August-3 September, 2002. Title of Talk:
representation theory in homotopy
- Speaker, International Conference on Algebraic Topology at Kyoto, Japan, December 5-8, 2005.
Title of Talk: Decompositions of Loop Spaces.
- One-hour Speaker, Stable and algebraic homotopy, Schloss Ringberg, Germany,
October 30-November 5, 2005. Title of Talk: The Exponent Problem and Cohen Groups
- One-hour Speaker, talked at the Third Pacific Rim Conference
on Mathematics, Fudan University, Shanghai, China, August 17?1,2005. Title of Talk:
From braid groups to homotopy Groups .
- One-hour Invited Speaker, Annual Conference on Algebraic Topology,
Matsumoto, Japan, July 13-16, 2005. Title of Talk: Representations in classical homotopy theory
- Organizer, International Topology Conference on Groups, Homotopy, and Configurations spaces in honor of Fred Cohen, in the Graduate
School of Mathematical Sciences, the University of Tokyo, Japan, July 5-11, 2005.
- One-hour Invited Speaker, International conference on Homotopy theory and related
topics", February 1-4, 2005, Korea. Title of Talk:
Configuration Spaces and the Evaluation Maps Title of Talk in premeeting on January 31, 2005:
Cohen Groups
- One-hour Invited Speaker, International conference on Homotopy theory and related topics, February 2-5, 2004, Korea.
Title of Talk One: Braids and Homotopy Groups. Title of Talk Two:
The Exponent Problem in Homotopy Theory.
- One-hour Invited Speaker, Hangzhou-Beijing International Summer School on Analysis, Zhejiang University, July 1-21, 2004.
Title: Homotopy Groups, Configuration Spaces and the Braid Groups.
- One-hour Invited Speaker, International Conference in Homotopy Theory, Mathematics Institute in Oberwolfach,
Germany, 16-22 March, 2003. Title of Talk: Braids, configurations and homotopy groups.
- One-hour Invited Speaker, 2001 AMS-IMS-SIAM Summer Research Conference on Lusternik-Schnirelmann category
in new millennium, South Hadley, MA, USA, July 29-August 2, 2001.
Title of Talk: On LS-category of certain 3-cell complexes.
- One-hour Speaker, Singapore-Warwick Workshop in Geometry & Topology, Singapore, 9-15 July 2001.
Title of talk: Braids, mapping class groups and the homotopy groups.
- Speaker, International Conference in Algebraic Topology, Isle of Skye, Scotland, 24-30 June 2001.
Title of Talk: On the homotopy groups of the sphere and the braid groups.
- One-hour Speaker, 1999/2000 Warwick Symposium on Geometry & Topology, Warwick, England, October 1999.
Title of Talk: Representation theory in Homotopy.
- One-hour Invited Speaker, Fall Midwest Topology Seminar at Western Michigan University, Fall 1996.
- One-hour invited Speaker, Unstable Homotopy Theory Session at The Fields Institute, Spring 1996.
- Speaker, AMS Meeting at University of California at San Diego, January 1997.
- One-hour Invited Speaker, Ontario Topology Seminar at Trent University, Fall 1995.
- Speaker, AMS Meeting at Kent State University, November 1995.
- Speaker, AMS-IMS-SIAM Joint Summer Research Conference at Mount Holyoke College, July 1994.
Department Colloquia
- Beijing University, China, June 14, 2002. Talk title braids and homotopy groups.
- Shinshu University, Japan, May 26, 2001. Talk title Representations in homotopy theory.
- Okayama University of Science, Japan, May 24, 2001. Talk title Homotopy groups and braids.
- Lehigh University, USA, March 1999
- National University of Singapore, Singapore, January 1999
Geometry and Topology Seminars:
- Columbia University, April 29,
2005. Title: Homotopy groups and Braids.
- MIT, March 28, 2005. Title: The Exponent Problem and Cohen Groups.
- University of Rochester, January 26, 2005. Title: The Exponent Problem and Cohen Groups.
- Nankai University, June 8, 2004. Title: Braids and Homotopy Groups,
- University of Paris 13, December 19, 2003. Title of talk: The Exponent Problem in Homotopy Theory.
- Universit?Montpellier II, December 18, 2003. Title of talk: Braids and Homotopy Groups.
- Ecole Polytechnique Fédérale de Lausanne, December 9, 2003. Title of talk: Representation Theory in Homotopy.
- Beijing University, China, June 19, 2002. Title of Talk: Homotopy decompositions of spaces.
- Shinshu University, Japan, May 27, 2001.Title of Talk: Homotopy groups and braids.
- University of Rochester, USA, October 2000. Title of Talk: Homotopy groups, braids and links.
- National University of Singapore, January 1999
- University of Rochester, October 1998
- MIT, April 1997
- University of Rochester, April 1997
- Northwestern University, Feb. 1995.
From April 10, 2006: