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Peter Engel Trapareturn to my homepage |
| Education | Ph.D.
(Mathematics), Massachusetts Institute of Technology,
1998. B.A. (Mathematics/Integrated Science), Northwestern University, 1993. |
| Positions | 2005-,
Associate
Professor, Department of Mathematics, University of
Utah. 2001-, Assistant Professor, Department of Mathematics, University of Utah. 2000-2003, Postdoc, Department of Mathematics, Harvard University. 1998-2000, Member, School of Mathematics, Institute for Advanced Study, Princeton, NJ. |
| Papers | Derived functor modules arising as large
constituents of degenerate principal series with Hisayosi Matumoto Compositio Mathematica, 143 (2007), 222-256. Leading term cycles of Harish-Chandra modules and partial orders on components of the Springer fiber to appear in Compositio Mathematica. Shimura correspondences for split real groups with Jeffrey Adams, Dan Barbasch, Annegret Paul, and David Vogan Journal of the American Math Society, 20 (2007), 701-751. Kazhdan-Lusztig algorithms for nonlinear Lie groups and applications to Kazhdan-Patterson lifting with David Renard American Journal of Mathematics, 127 (2005), 911-971. Richardson orbits for real groups Journal of Algebra, 286 (2005), 361-385. Symplectic and orthogonal Robinson-Schensted algorithms Journal of Algebra, 286 (2005), 386-404. Some small unipotent representations of indefinite orthogonal groups Journal of Functional Analysis, 213 (2004), 290-320. Special unipotent representations and the Howe correspondence University of Aarhus Publication Series, 47 (2004), 210-230. One dimensional representations of U(p,q) and the Howe correspondence with Annegret Paul Journal of Functional Analysis, 195 (2002), no. 1, 129--166. Irreducible genuine characters of the metaplectic group II: Functoriality with David Renard Journal für die reine und angewwandte Mathematik, volume 557 (2003), 121-158. Irreducible genuine characters of the metaplectic group: Kazhdan-Lusztig algorithm and Vogan duality with David Renard appeared in Representation Theory, 4 (2000), 245--295. Nash equilibria for an evolutionary language game with Martin Nowak Journal of Mathematical Biology, 41 (2000), no. 2, 172--188. Representations of semisimple Lie groups with Anthony W. Knapp in Representation theory of Lie groups (Park City, UT, 1998), IAS/Park City Mathematical Series, 8 (2000), 7-87. Generalized Robinson-Schensted algorithms for real Lie groups International Math Research Notices, 1999, no. 15, 803-834. Annihilators and associated varieties of A_q(lambda) modules for U(p,q) Compositio Mathematica, 129 (2001), no. 1, 1-45. The adjoint representation in rings of functions with Eric Sommers, Representation Theory, 1 (1997), 182-189. Fourier series of radial functions in several variables, with Mark Pinsky and Nancy Stanton, Journal of Functional Analysis, 116 (1993), no. 1, 111-132 |