Curriculum Vitae

Jeb Faulkner Willenbring

I. EDUCATION
• Ph. D. in Mathematics (June 2000) - University of California, San Diego.
  Advisor: Professor Nolan R. Wallach
• Bachelor of Science (May 1995) - North Dakota State University.
  Major: Mathematics



II. POSITIONS
• Assistant Professor (2003-Present) Department of Mathematical Sciences,
  University of Wisconsin-Milwaukee
• J. W. Gibbs Instructorship with NSF VIGRE funding (2000-2003)
  Mathematics Department, Yale University



III. PUBLICATIONS
• The Stability Of Graded Multiplicity In The Setting Of The Kostant-Rallis Theorem. With: Roger Howe and Eng Chye Tan. Accepted for publication in the Journal of Transformation Groups.
• Invariant Differential Operators and FCR factors of Enveloping algebras. With Ian Musson; Accepted for publication in Communications in Algebra.
• A generating function for Blattner's formula. With Gregg Zuckerman; Accepted for publication in the Proceedings of the American Mathematical Society.
• Small semisimple subalgebras of semisimple Lie algebras. With Gregg Zuckerman; Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore. 2008.
• Stable Hilbert series of S(\mathfrak g)^K for classical groups. Journal of Algebra. Vol 314/2 (2007) pp 844-871.
• Reciprocity Algebras and Branching for Classical Symmetric Pairs. With Roger Howe and Eng-Chye Tan; Bielefeld, Germany Conference Proceedings in Honor of Hermann Weyl; 2006.
• A basis for the GL_n tensor product algebra. With Roger Howe and Eng-Chye Tan; Advances in Mathematics 196 (2005), no. 2, 531-564.
• Stable branching rules for classical symmetric pairs. With Roger Howe and Eng-Chye Tan; Transactions of the American Mathematical Society. Vol. 357 (2005), 1601-1626.
• Hilbert series, Howe duality and branching for classical groups. With Thomas J. Enright; Annals of Mathematics. 159 (2004), no. 1, 337-375.
• Hilbert series, Howe duality, and branching rules. With Thomas J. Enright; Proceedings of the National Academy of Sciences. 100 (2003), no.2, 434-437.
• An Application of the Littlewood Restriction Formula to the Kostant-Rallis Theorem. Transactions of the American Mathematical Society. Vol. 354(11), 2002, 4393-4419.
• A stable range for dimensions of homogeneous O(n)-invariant polynomials on the n ×n matrices. Journal of Algebra. Vol. 242(2) (2001) pp.691-708.
• Stability properties for q-multiplicities and branching formulas for representations of the classical groups. Ph.D. Thesis - University of California, San Diego, 2000.
• On Some q-Analogs of a Theorem of Kostant-Rallis. With Nolan R. Wallach; Canadian Journal of Mathematics. Vol. 52(2), 2000 pp.438-448.



IV. GRANTS AND FUNDING
• Research Growth Initiative Grant (July 2007-July 2008), UW-Milwaukee
• Graduate School Research Committee Award (June 2006-July 2007), UW-Milwaukee
• PI, Young Investigator's Grant. (December 2004 - August 2007).
  National Security Agency, Grant # H98230-05-1-0078.
  Title: The Combinatorics of Branching Rules (04Y-113).
• Supported by the YALE VIGRE Program (2000-2003) National Science Foundation
• CMI Liftoff Program (Summer 2000) Clay Mathematics Institute



V. INVITED TALKS
• Joint Mathematics Meeting in San Diego, CA; Special Session on Structure, Geometry, and Symbolic Computation of Algebraic Groups and Symmetric Spaces (January 2008)
• University of Minnesota Mathematics Colloquium (October 2007)
• University of Minnesota Lie Groups Seminar (October 2007)
• Bremen, Germany (March 2007). Seminar on Transformation Groups and Mathematical Physics
• Yale University (August 2006); Algebra and Lie Groups Seminar
  (Talk prepared jointly with Anthony van Groningen)
• University of Washington (May 2006); Mathematics Colloquium
• Virginia Polytechnic Institute (March 2006); Mathematics Colloquium
• Western Kentucky University (March 2005) Southeastern Sectional Meeting of the AMS. Special Session on Representation Theory
• Western Kentucky University (March 2005) Special Session on Recent Advances in Non-Commutative Algebra. Southeastern Sectional Meeting of the AMS
• Ohio State University (March 2005); Combinatorics Seminar
• National University of Singapore (January 2005); Representation Theory Seminar
• Northwestern University (October 2004)
  Conference of the American Mathematical Society
  Special Session on Algebraic Representations and Deformations
• University of California - Riverside (October 2004)
  NSF Sponsored Workshop: Lie Groups, Lie Algebras and their Representations
• Binghamton University (October 2003); Invited Hour Address
  Eastern Section Meeting of the AMS
• University of Wisconsin-Madison (October 2003); Lie Theory Seminar
• University of Wisconsin-Milwaukee (April 2003); Mathematics Colloquium
• Yale University Mathematics Department (April 2003)
  Geometry, Physics and Symmetry Seminar
• Fall Western Section AMS Meeting in Salt Lake City, Utah (October 2002)
  Special session on the Representation Theory of Semisimple Lie Groups
• Yale University Mathematics Department (October 2002)
  Algebra/Lie Groups Seminar
• Massachusetts Institute of Technology (March 2002)
  Combinatorics Seminar
• University of California - San Diego (January 2002)
  NSF Workshop on Lie groups, Lie algebras, and their Representations
• Yale University Mathematics Department (May and June 2001)
  Invariant Theory Seminar
• Northeastern University Mathematics Department (March 2001)
  Geometry-Algebra-Singularities-Combinatorics Seminar
• North Dakota State University Mathematics Department (December 2000)
  Mathematics Colloquium
• Rutgers University Mathematics Department (December 2000)
  Representation Theory Seminar
• Ohio State University Mathematics Department (November 2000)
  Harmonic Analysis, Automorphic Forms And Representation theory (HAAR) Seminar
• Yale University Mathematics Department (September 2000)
  Lie Groups Seminar
• University of California, San Diego Mathematics Department (February 2000)
  Combinatorics Seminar
• National Security Agency (January 2000)
  Mathematics Seminar



VI. SPECIAL PROGRAMS EMPHASIZING EDUCATION
• Judge for the Wisconsin State Science Fair at Marquette University
  March 2006 and March 2007
• Clay Mathematics Institute Research Academy (Boston, MA) (March 2003)
  (This is a program for talented high school students for which I assisted in the instruction.)



VII. TEACHING
• University of Wisconsin-Milwaukee (Current Position)
  • Calculus with Analytic Geometry (Spring, Fall 06)
  • Introduction to the Language and Practice of Mathematics (Fall 04, 05, 07; Spring 05, 07)
  • Number Theory (Fall 04)
  • Introduction to Modern Algebra (Spring 05)
  • Modern algebra (2005-06, 2006-07)
  • Graduate Algebra (2007-08)
  • Advanced Topics in Algebra (Fall 03 and Spring 04)
• Yale University (Gibbs Instructor)
  • Abstract Algebra (Fall 02)
  • VIGRE Program Instructor (Summer 02)
  • Topics in the representation theory of the classical groups (Spring 02)
  • Linear Algebra and Applications (Fall 01)
  • Topics in Analysis (Spring 01)
  • Discrete Mathematics (Fall 00, 01, 02)
• University of California at San Diego (1995-2000)
  • Graduate Student Lecturer (Fall 98, and Spring 99)
    Calculus for Social and Life sciences



VIII. Other Instructional Activities
• Ph. D. Student: Anthony Van Groningen (Joint Advisor with Allen Bell)
  Graduated Summer 2007
• Masters Student: Drew Shulman; Graduated Summer 2006
• Qualifying Exam Writer in Algebra (December 2002) (Yale University)
• Master's Proficiency Exam Writer in Algebra (UW-Milwaukee)

Last Updated February 2008

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