Slides of Some Recent Talks:
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New York Algebra Colloquium, CUNY Graduate Center, March 2012.
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Colloquium, Queen's University, November 2010.
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New Professors Talk, University of Ottawa, April 2010.
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Conference on Supersymmetry in Mathematics and Physics, UCLA, February 2010.
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Lie Groups Seminar, Rutgers University, April 2008.
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Publications:
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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.
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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).
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Unitary representations of nilpotent super Lie groups,
Commun. Math. Phys., Vol. 297 (2010), 189–227.
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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.
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Small principal series and exceptional duality for
two simply laced exceptional groups,
Trans. Amer. Math. Soc., Vol 361 (2009), 1925–1947.
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Direct limits of Schubert varieties and global sections of
line bundles, Journal of Algebra, Vol. 320, Issue 8 (2008),
3187–3198.
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Equality of Schur's Q-functions and their skew
analogues,
Annals of Combinatorics,
Vol. 12, No. 3 (2008), 325–346.
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The spectral method for general mixture models (with Ravi Kannan
and Santosh Vempala),
SIAM Journal on Computing, Vol. 38, Issue 3,
1141–1156 (2008)
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A notion of rank for unitary representations
of reductive groups based on Kirillov's orbit method,
Duke Mathematical Journal,
Vol. 136 (2007), 1–49.
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Isolatedness of the minimal representation
and minimal decay of exceptional groups,
Manuscripta Mathematica, Vol. 120 (2006),
No. 1, pp. 39–52.
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