EDUCATION

Ph.D. (Mathematics), Yale University, 1971

Ph.M. (Mathematics), Yale University, 1970

A.B. (Mathematics), University of Rochester, 1967

RESEARCH AREAS

Representation theory of algebraic groups, Lie algebras, finite groups, and quantum groups

EMPLOYMENT

Director, University of Virginia Institute of Mathematical Science

Chair, Department of Mathematics, University of Virginia, 1993-1997

Gordon T. Whyburn Professor of Mathematics, University of Virginia, 1996-present

Professor of Mathematics, University of Virginia, 1983-1996

Member, Center for Advanced Studies, University of Virginia, Spring 1987 and 1989-1990

Professor of Mathematics, University of Illinois (Urbana), 1987-1989

Associate Professor of Mathematics, University of Virginia, 1977-1983

Assistant Professor of Mathematics, University of Virginia, 1972-1977

United States Army, 1970-1972

Short term:

Visiting Professor, UNSW, Sydney, Australia, Summer 2000 and 2003

Visiting Professor, Northwestern University, 1996-97

Visiting Professor, ECNU, Shanghai, China, August-September 1993

Visiting Fellow, Australian National University, May-June 1992

Visiting Professor, Mathematical Institute, University of Warwick, May-June 1991

Visiting Professor, MSRI, Berkeley, California, October-November 1990

Visiting Professor, IHES, Paris, April-July 1985

Visiting Associate Professor, Northwestern University, Spring 1980

Member, Institute for Advanced Study, Princeton, Spring 1979

Member, Institute for Advanced Study, Princeton, Fall 1975

SOME INVITED TALKS (1992-present)

"Duality in representation theory," UCLA, plenary speaker, Conference on algebraic groups in honor of Robert Steinberg, March 1992

"Dual representation theory," Colloquium, Australian National University, Canberra, Australia, June 1992

"Quasi-hereditary algebras," Colloquium, Sydney University, Sydney, Australia, June 1992

"Representations of algebraic groups," Colloquium, Massey University, Palmerston North, New Zealand, June 1992

"Representations of quantum groups," Colloquium, Victoria University, Wellington, New Zealand, July 1992

"Representations of quantum groups," Colloquium, University of Auckland, Auckland, New Zealand, July 1992

"Quasi-hereditary algebras," a series of six lectures, East China Normal University, Shanghai, China, August-September 1993

"Representations of algebraic groups," Mathematics Department Colloquium, Zhejiang University, Hangzhou, China, September 1993

"Geometric methods in modular representation theory," plenary speaker, Algebra Day, University of Ottawa, Ottawa, Canada, October 1993

"Koszul algebras and highest weight categories," plenary speaker, Banff Conference on group theory, Banff, Canada, June 1994

"Quantum vector spaces," Colloquium, Department of Mathematics, University of Saskatchewan, Saskatoon, Saskatchewan, Canada, August 1994

"Exact Borel subalgebras," AMS special session on algebraic groups, Stillwater, Oklahoma, October 1994

"Quantum vector spaces," Colloquium, University of Oklahoma, January 1995

"Graded structures in representation theory," plenary talk, Modular Interfaces Conference in honor of R. Block, U. California, February 1995

"Endomorphism algebras," Seminar, Department of Mathematics, University of Chicago, March 1995

"Endomorphism algebras," Colloquium, Department of Mathematics, University of Saskatchewan, April 1995

"Graded structures in representation theory," AMS special session on group theory, The Hebrew University, Jerusalem, May 1995

"Stratifying endomorphism algebras," AMS special session on quantum theory, Greensboro, NC, November 1995

"Some algebras associated to the representation theory of finite groups of Lie type in non-describing characteristic," Fields Institute Conference on Lie theory and representation theory, Jasper, Alberta, February 1996 (two plenary lectures)

"Representations of finite Lie groups in non-describing characteristic," Department of Mathematics, SUNY (Albany), Colloquium, March 1996

"Weyl-Specht correspondences," AMS Summer Institute on Representation Theory and Cohomology, Seattle, WA, July 1996 (plenary speaker)

"Finite dimensional algebras associated to algebraic groups," three plenary talks, ICRA, Trondheim, Norway, July 1996

"q-Schur algebras," University of Chicago group theory seminar, October 1996

"Tilting modules", Colloquium, Utah State University, January 1997

"Quantum Weyl reciprocity," Colloquium, University of Chicago, February 1997

"Quantum Weyl reciprocity," Lie theory seminar, University of Michigan, March 1997

"Tilting modules and Weyl reciprocity," Newton Institute, April 1997

"Representations of finite groups of Lie type," Colloquium, University of Saskatoon, August 1997

"From finite groups to affine Lie algebras," seminar talk, North Carolina State University, November 1997

"Quantum Weyl reciprocity," algebra seminar, Department of Mathematics, Rutgers University, February 1998

"Cohomology in non-describing characteristic," Special Session on algebraic groups and quantum groups, Kansas State University, March 1998

"Cohomology of finite groups of Lie type in non-describing characteristic," plenary talk, Conference on Representation Theory, Shanghai, China, June 1998

"Cohomology of finite groups of Lie type," Special Session, Wake Forest University, October 1998

"Generic cohomology," International Conference on Representation Theory, Shanghai, China, July 1999

q-Schur algebras," Academia Sinica, Beijing, China, July 2001.

Support varieties," International Conference on Representation Theory, Kunming, China, July 2001

"Support varieties," Univ. of Natal, Natal, Brazil, April 2001

"Restricted Lie algebras," Univ. of South Alabama, February 2002

"Modular representations of Lie algebras," Utah State University, April 2001

"Non-defining cohomology," Fields Institute, Univ. of Toronto, August 2002

"The restricted nullcone," Univ. Saskatchewan, August 2002

"Quasi-hereditary algebras and representation theory," KIAS, Seoul, South Korea, October 2002.

"Non-describing cohomology," ICIAM, Sydney, July 2003.

"Quantum Weyl reciprocity," Chapel Hill AMS Special Session, October 2003

"Tilting modules, cohomology and characters," Yale University, Conference in honor of Walter Feit, October 2003.

"Tilting modules and category equivalences," colloquium, Univ. Georgia, February 2004.

"Introduction to quantum groups," Univ. of western Michigan, March 2004.

"Cohomology in non-describing characteristic," ICRT 3, Chengdu, China, July 2004.

"Ext groups and characters," Banff Research Station, September 2004.

"Ext groups, characters and Levi subgroups," AMS Special Session, Atlanta, January 2005.

"Characters and cohomology," AMS Special Session, Bowling Green, KY, March 2005.

"Characters," Algebra Seminar, Univ. Georgia, February 2005.

"Some results on Specht modules," NC State Univ., June 2005.

Ph.D. STUDENTS

David Vella, Associate Professor, Department of Mathematics, Skidmore College, Saratoga Springs, New York     www.skidmore.edu/~dvella/dcvbio1.htm

David Gross, Undergraduate Coordinator, Department of Mathematics, University of Connecticut, Storrs, Connecticut     www.math.uconn.edu/~dgross

William Abrams, Associate Professor, Department of Mathematics, Longwood University, Farmville, Virginia

Terrell Hodge, Assistant Professor of Mathematics, Western Michigan University     unix.cc.wmich.edu/~hodge/"

Weiping Li, Assistant Professor, Department of Mathematics, Walsh University, Canton, Ohio

Wes Cramer, University of Virginia, current

Jill McCarthy, University of Virginia, current

NATIONAL ACTIVITIES

Chair, Organizing Committee, AMS-IMS-SIAM Conference on Representation Theory, Snowbird, Utah, July 2004

Organizing Committee, Conference on Infinite-Dimensional Aspects of Representation Theory, University of Virginia, May 2004

Organizing Committee, Conference on Quantum Computing and Coding Theory, University of Virginia, May 2004

Organizing committee, Conference on Modular Representation Theory, University of Virginia, May 1999

Editorial board, Communications in Algebra, 1989-2005

Member, American Mathematical Society Committee on Summer Research Institutes and Special Symposia, 1989-1992 (Chair, 1991-1993)

Member, American Mathematical Society Task Force on Conferences, 1993-1994

Member, Organizing Committee for conference on "Structure and representation theory of Lie algebras," Yale University, April 1992.

Organizer of Special Session on Quantum Groups, by invitation, for conference on "Representations of linear algebraic groups," UCLA, March 1992

Member, Organizing Committee for three week AMS Summer Research Institute on algebraic groups, held at Penn State, July 1991

Member, Organizing Committee, Workshop on Representation Theory of Reductive Groups over Finite Fields, M.S.R.I., Berkeley, California, November 1990

Member, Organizing Committee, AMS Summer Workshop on Representation Theory and Cohomology of Finite and Algebraic groups, Humboldt State University, Arcata, California, July 1989

Member, Organizing Committee, AMS Conference on Representation Theory and Cohomology, Mt. Holyoke College, June 2002

Co-organizer (with W. Haboush), Special Session on algebraic groups, Michigan State University, March 1988

Co-organizer (with J. Humphreys), Special Session on algebraic groups, San Antonio AMS meeting, January 1980