Publications:

Jordan superalgebras and eigenvalues of Capelli operators (with Vera Serganova and Siddhartha Sahi),
in preparation.

Kirillov's orbit method and polynomiality of the essential dimension of pgroups
(with Mohammad Bardestani and Keivan MallahiKarai), submitted.
PDF

Quadratic Capelli operators and Okounkov polynomials
(with Siddhartha Sahi),
to appear in Annales Scientifiques de l'École Normale Supérieure.
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On equality of ranks of local components of automorphic representations
(with Mohammad Bardestani),
to appear in International Mathematics Research Notices.
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Schur Q–functions and the Capelli eigenvalue problem for the Lie superalgebra q(n)
(with Alexander Alldridge and Siddhartha Sahi),
to appear in
Proceedings of the conference in honor of Gestur Olafsson's 65^{th} birthday,
Contemporary Mathematics, American Mathematical Society, Providence, RI.
PDF

Integrable representations of rootgraded Lie algebras
(with Nathan Manning and Erhard Neher),
to appear in Journal of Algebra 500 (2018), 253–302 (special issue in honour of Efim Zelmanov).
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The GelfandNaimarkSegal construction for unitary representations of
(Z_{2})^{n}graded Lie supergroups
(with Mohammad Mohammadi),
to appear in Proceedings of the 50^{th} Seminar Sophus Lie, Banach Centre Publications,
vol. 113, 263–274, Polish Acad. Sci. Inst. Math., Warsaw, 2017.
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Smoothing operators and C^{*}algebras for infinite dimensional Lie groups
(with KarlHermann Neeb and Christoph Zellner),
in International Journal of Mathematics 28 (2017), no. 5.
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Faithful representations of Chevalley groups over quotient rings of nonarchimedean local fields
(with Mohammad Bardestani, Camelia Karimianpour, and Keivan MallahiKarai), Groups, Geometry, and Dynamics 11 (2017), 5774.
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The Capelli problem for gl(mn) and the spectrum of invariant differential operators
(with Siddhartha Sahi),
Advances in Mathematics 303 (2016), 1–38.
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Minimal dimension of faithful representations for pgroups
(with Mohammad Bardestani and Keivan MallahiKarai),
Journal of Group Theory 19 (2016), no. 4, 589–608.
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On the characterization of trace class representations and Schwartz operators
(with Gerrit van Dijk, KarlHermann Neeb, and Christoph Zellner), Journal of Lie Theory 26 (2016), no. 4, 787–805.
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Crossed product algebras and direct integral decomposition for Lie supergroups,
(with KarlHermann Neeb),
Pacific Journal of Mathematics 281 (2016), no. 1, 213–232.
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Classification of positive energy representations of the Virasoro group
(with KarlHermann Neeb),
International Mathematics Research Notices
2015 (2015), no. 18, 8620–8656.
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On an invariance property of the space of smooth vectors
(with KarlHermann Neeb and Christoph Zellner),
Kyoto Journal of Mathematics 55 (2015), no. 3, 501–515.
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Positive definite superfunctions
and unitary representations of Lie
supergroups
(with KarlHermann Neeb),
Transformation Groups
18 (2013), no. 3,
803–844.
PDF

Differentiable vectors and unitary
representations of Fréchet–Lie
supergroups
(with KarlHermann Neeb),
Mathematische Zeitschrift
275 (2013), no. 1, 419–451.
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Categories of unitary representations of Banach–Lie supergroups and restriction functors
(with Stéphane Merigon and KarlHermann Neeb),
Pacific Jounal of Mathematics
257 (2012), no. 2, 431–469.
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Lie supergroups, unitary representations,
and invariant cones
(with KarlHermann Neeb),
in
Supersymmetry in Mathematics and Physics,
Lecture Notes in Mathematics
2027, 195–239,
Springer, Heidelberg, 2011.
PDF

Unitary representations of nilpotent super
Lie groups,
Communications in Mathematical Physics
297 (2010), no. 1, 189–227.
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Conjugacy of maximal toral subalgebras
of direct limits of
loop algebras,
in
Symmetry in Mathematics and
Physics,
Contemporary Mathematics
490, 133–150,
American Mathematical Society,
Providence, RI, 2009.
PDF

Small principal series and exceptional duality for
two simply laced exceptional groups,
Transactions of the American Mathematical Society
361 (2009), no. 4, 1925–1947.
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Direct limits of Schubert varieties and global sections of
line bundles, Journal of Algebra 320 (2008),
no. 8,
3187–3198.
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Equality of Schur's Qfunctions and their skew
analogues,
Annals of Combinatorics
12 (2008), no. 3 , 325–346.
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The spectral method for general mixture models
(with Ravi Kannan
and Santosh Vempala),
SIAM Journal on Computing 38
(2008), no. 3,
1141–1156.
PDF

A notion of rank for unitary representations
of reductive groups based on Kirillov's orbit method,
Duke Mathematical Journal
136 (2007), no. 1, 1–49.
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Isolatedness of the minimal representation
and minimal decay of exceptional groups,
Manuscripta Mathematica 120 (2006),
no. 1, 39–52.
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A result on the prime labelings of trees,
Bulletin of the Institute of Combinatorics and its Applications 28 (2000),
36–38.
