Annegret Paul

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Western Michigan University
College of Arts and Sciences
Mathematics

Mailing Address

Department of Mathematics
Western Michigan University
Kalamazoo, Michigan 49008-5248
United States

Contact Information

Phone: (269) 387-3614
Fax: (269) 387-4530
annegret.paul@wmich.edu
http://homepages.wmich.edu/~paul

Qualifications

Ph.D., University of Maryland College Park, Mathematics, 1996.

Expertise and Research Interests

I am interested in the representation theory of real reductive Lie groups. In particular, my research deals with reductive dual pairs and the theta correspondence, and the unitary dual. I am also involved in the project called 'Atlas of Lie Groups' (see http://www.liegroups.org for details).

Keywords

COS Keywords:

Algebra, Analysis and Functional Analysis, Mathematics.

Additional Terms:

Algebra, Analysis, Lie Groups, Reductive Dual Pairs, Representation Theory, Unitary Dual.

Languages

(Reading, Writing, Speaking)

English: (Fluent, Fluent, Fluent)
German: (Fluent, Fluent, Fluent)
French: (Fluent, Functional, Basic)

Memberships

American Mathematical Society
Association for Women in Mathematics
Pi Mu Epsilon

Previous Positions

1996-1999, Adjunct Assistant Professor, University of California, Berkeley, Letters and Science, College of, Mathematics

Publications

  • Jian-shu Li, Annegret Paul, Eng Chye Tan, and Chenbo Zhu, The Explicit Duality Correspondence of (Sp(p,q),O*(2n)), Journal of Functional Analysis, 200(1), 71-100, 2003
  • Annegret Paul and Peter Trapa, One-Dimensional Representations of U(p,q) and the Howe Correspondence, Journal of Functional Analysis, 195(1), 129-166, 2002
  • Annegret Paul, Howe Correspondence for Real Unitary Groups II, Proceedings of the AMS, 128(10), 3129-3136, 2000
  • Annegret Paul and Eng-Chye Tan, On the Dual Pairs (O(p,q),SL(2,R)),(U(p,q),U(1,1)) and (Sp(p,q),O*(4)), Pacific Journal of Mathematics, 187(2), 349-378, 1999
  • Annegret Paul, First Occurrence for the Dual Pairs (U(p,q),U(r,s)), Canadian Journal of Mathematics, 51(3), 636-657, 1999
  • Annegret Paul, Howe Correspondence for Real Unitary Groups, Journal of Functional Analysis, 159, 384-431, 1998
  • Annegret Paul, On the Howe Correspondence of Symplectic-Orthogonal Dual Pairs, Journal of Functional Analysis, 228, 270-310, 2005
  • Jeffrey Adams, Dan Barbasch, Annegret Paul, Peter Trapa, David Vogan, Unitary Shimura Correspondences for Split Real Groups, Journal of the American Mathematical Society, 20, 701-751, 2007
  • Alessandra Pantano, Annegret Paul, Susana Salamanca-Riba, The Omega-Regular Unitary Dual of the Metaplectic Group of Rank 2, AMS Contemporary Mathematics, In Press
  • Annegret Paul, Peter Trapa (2007) Some Small Unipotent Representations of Indefinite Orthogonal Groups and the Theta Correspondence, University of Aarhus Publication Series, 103-125 pages

Profile Details

Last Updated: 3/20/2008

COS Expertise ID #961406
Reference this profile directly: http://myprofile.cos.com/apaul