Here are my preprints, publications, lecture notes, slides, conferences, students, and miscellanea.

The material below is based upon work partially supported by NSF grants DMS-0071606, DMS-0300106,
DMS-0554118, DMS-0968275, DMS-0968060, and DMS-1302237, and by NSA Grant MSFP-06Y-095.

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Preprints:

Codimension one connectedness of the graph of associated varieties
(with Kyo Nishiyama and Akihito Wachi) arxiv

Unitary representations of real reductive groups
(with Jeffrey Adams, Marc van Leeuwen, and David Vogan) arxiv

Algebraic and analytic Dirac induction for graded affine Hecke algebras
(with Dan Ciubotaru and Eric Opdam) arxiv or final pdf
to appear in Journal de l'Institute de Mathematiques de Jussieu (JIMJ)

Appendix to: Small representations, string instantons, and Fourier modes of Eisenstein series
by Michael B. Green, Stephen D. Miller, and Pierre Vanhove

(with Dan Ciubotaru) arxiv


Publications:

Characters of Springer representations on elliptic conjugacy classes
(with Dan Ciubotaru) arxiv or final pdf
Duke Mathematical Journal, 162 (2013), no. 2, 201-223.

Dirac cohomology for graded affine Hecke algebras
(with Dan Barbasch and Dan Ciubotaru) arxiv or final pdf
Acta Mathematica, 209 (2012), no. 2, 197-227.

The exotic Robinson-Schensted correspondence
(with Anthony Henderson) arxiv
Journal of Algebra, 370 (2012), 32-45.

Duality for nonlinear simply laced groups
(with Jeffrey Adams) arxiv or pdf
Compositio Mathematica, 148 (2012), no. 03, 931-965.

Duality for GL(n,R) and the degenerate affine Hecke algebra for gl(n)
(with Dan Ciubotaru) arxiv or pdf
American Journal of Math. 134 (2012), no. 1, 141-170.

Regular orbits of symmetric subgroups on partial flag varieties
(with D. Ciubotaru and K. Nishiyama) arxiv or pdf
Representation Theory, Complex Analysis, and Integral Geometry Vol. 2
Progress in Mathematics, Birkhauser (2012), 61-86.

Stable combinations of special unipotent representations
(with Dan Barbasch) arxiv or pdf
Contemp. Math. 557 (2011), 213-228.

Functors for unitary representations of real classical groups and affine Hecke algebras
(with Dan Ciubotaru) arxiv or pdf
Advances in Math 227 (2011), no. 4, 1585-1611.

Pattern avoidence and smoothness for orbits of a symmetric subgroup in the flag variety
(with W. M. McGovern) arxiv or pdf
Journal of Algebra, 322 (2009), 2713-2730.

Integrals over the Springer fiber for sl(n,C) pdf
a stand-alone version of an appendix which appeared in
Representation Theory, 12 (2008), 403-434.

Leading term cycles of Harish-Chandra modules and partial orders on components of the Springer fiber
pdf
Compositio Mathematica, 143 (2007), 515-540.

Some small unipotent representations of indefinite orthogonal groups and the theta correspondence
(with Annegret Paul) pdf
University of Aarhus Publication Series, 48 (2007), 103-125.

Derived functor modules arising as large constituents of degenerate principal series
(with Hisayosi Matumoto) pdf
Compositio Mathematica, 143 (2007), 222-256.

Shimura correspondences for split real groups
(with Jeffrey Adams, Dan Barbasch, Annegret Paul, and David Vogan) pdf
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) pdf
American Journal of Mathematics, 127 (2005), 911-971.

Symplectic and orthogonal Robinson-Schensted algorithms pdf
Journal of Algebra, 286 (2005), 386-404.

Richardson orbits for real groups pdf
Journal of Algebra, 286 (2005), 361-385.

Some small unipotent representations of indefinite orthogonal groups pdf
Journal of Functional Analysis, 213 (2004), 290-320.

Special unipotent representations and the Howe correspondence pdf
University of Aarhus Publication Series, 47 (2004), 210-230.

Irreducible genuine characters of the metaplectic group II: Functoriality
(with David Renard) pdf
Journal für die reine und angewandte Mathematik, volume 557 (2003), 121-158.

One dimensional representations of U(p,q) and the Howe correspondence
(with Annegret Paul) pdf
Journal of Functional Analysis, 195 (2002), no. 1, 129--166.

Annihilators and associated varieties of A_q(lambda) modules for U(p,q) pdf
Compositio Mathematica, 129 (2001), no. 1, 1-45.

Irreducible genuine characters of the metaplectic group: Kazhdan-Lusztig algorithm and Vogan duality
(with David Renard) pdf
Representation Theory, 4 (2000), 245--295.

Nash equilibria for an evolutionary language game
(with Martin Nowak) pdf
Journal of Mathematical Biology, 41 (2000), no. 2, 172--188.

Representations of semisimple Lie groups
(with Anthony W. Knapp) pdf
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 pdf
International Math Research Notices, 1999, no. 15, 803-834.

The adjoint representation in rings of functions
(with Eric Sommers) pdf 
Representation Theory1 (1997), 182-189.

Fourier series of radial functions in several variables,
(with Mark Pinsky and Nancy Stanton) ps
Journal of Functional Analysis116 (1993), no. 1, 111-132.

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Some lecture notes:

Parametrizing even real nilpotent orbits using ATLAS pdf
Unpublished notes from a lecture at University of Maryland workshop, March, 2008

Notes on cells and special unipotent representations pdf
Unpublished notes from a lecture at an AIM workshop, July, 2007.
Based partially on notes taken by Patrick Polo.

On the computation of characteristic cycles of Harish-Chandra modules pdf
Unpublished notes from a lecture an AIM workshop, July, 2006.

Computing Real Weyl Groups pdf
Unpublished notes from a lecture given by David Vogan at an AIM work shop, July, 2006.

Computing K-type multiplicities in standard modules (after Vogan) pdf
Unpublished notes from lectures at an AIM workshop, July, 2005.

Branching Laws pdf
Unpubilshed notes from an AIM workshop, July, 2003.
Notes by David Vogan.

Unitary representations of U(p,q) pdf
Notes from a talk at the AMS-SRC conference "Representation theory of real and p-adic reductive groups"
University of Washington, July, 1997.

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Some slides:

Kazhdan-Lusztig-Vogan polynomials and applications pdf
Slides from a Colloquium at the University of Washington, October, 2007.

Matching Kazhdan-Lustzig polynomials for GL(n,F) pdf
Slides from a lecture at an AIM workshop, July, 2007.

Starting a High School Math Circle
Slides from an invited address at an MAA meeting, March, 2006.
In ppt format ppt

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Some conferences I helped organize:

SL(2,R) Minicourse (May 2006)
(with Casselman and Milicic)
Minicourse Homepage

Representation Theory of Real Lie Groups (June 2006, Snowbird UT)
(with Arthur and Schmid)
Conference Homepage
Conference Proceedings

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Some students:

Scott Crofts, PhD 2009: Duality for the universal cover of Spin(2n+1,2n).

Casey Johnson, PhD 2010: Enhanced nilpotent representations of a cyclic quiver.

Ben Trahan, PhD 2011: Functors for real and p-adic metaplectic groups.

Matt Housley, PhD 2011: Polynomial representations and associated cycles of indefinite unitary groups.

In progress: Kei Yuen Chan, Anna Romanova, Sean McAfee, Adam Brown.

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Some miscellanea:

In Math, Confidence Doesn't Count
An op-ed piece for the Salt Lake Tribune html

Representation Theory
an electronic journal of the AMS

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The above material is based upon work partially supported by NSF grants DMS-0071606, DMS-0300106,
DMS-0554118, DMS-0968275, DMS-0968060, and DMS-1302237, and by NSA Grant MSFP-06Y-095.

Return to my homepage.