Slides of Some Recent Talks:

  • New York Algebra Colloquium, CUNY Graduate Center, March 2012. PDF

  • Colloquium, Queen's University, November 2010. PDF

  • New Professors Talk, University of Ottawa, April 2010. PDF

  • Conference on Supersymmetry in Mathematics and Physics, UCLA, February 2010. PDF

  • Lie Groups Seminar, Rutgers University, April 2008. PDF

Publications:

  • Categories of unitary representations of Banach–Lie supergroups and restriction functors (with Stéphane Merigon and Karl-Hermann Neeb), 31 pages, Pacific Jounal of Mathematics, to appear. PDF

  • Lie supergroups, unitary representations, and invariant cones (with Karl-Hermann Neeb), Supersymmetry in Mathematics and Physics, Lecture Notes in Mathematics, Vol. 2027, 195–239, (2011). PDF

  • Unitary representations of nilpotent super Lie groups, Commun. Math. Phys., Vol. 297 (2010), 189–227. PDF

  • Conjugacy of maximal toral subalgebras of direct limits of loop algebras, in Symmetry in Mathematics and Physics, Contemp. Math., Vol 490, 133–150, Amer. Math. Soc., Providence, RI, 2009. PDF

  • Small principal series and exceptional duality for two simply laced exceptional groups, Trans. Amer. Math. Soc., Vol 361 (2009), 1925–1947. PDF

  • Direct limits of Schubert varieties and global sections of line bundles, Journal of Algebra, Vol. 320, Issue 8 (2008), 3187–3198. PDF

  • Equality of Schur's Q-functions and their skew analogues, Annals of Combinatorics, Vol. 12, No. 3 (2008), 325–346. PDF

  • The spectral method for general mixture models (with Ravi Kannan and Santosh Vempala), SIAM Journal on Computing, Vol. 38, Issue 3, 1141–1156 (2008) PDF

  • A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method, Duke Mathematical Journal, Vol. 136 (2007), 1–49. PDF

  • Isolatedness of the minimal representation and minimal decay of exceptional groups, Manuscripta Mathematica, Vol. 120 (2006), No. 1, pp. 39–52. PDF