Curriculum
Vitae pdf
Research
Interests Lie groups,
representation theory, automorphic forms.
Publications
A proof of CasselmanĄ¯s comparison theorem.
Representation Theory 25 (2021), 994-1020.
Acceptable compact Lie groups. Peking Mathematical Journal (2021).
Weighted
badly approximable vectors and games. IMRN (2019), no. 3, 810-833.
Maximal
abelian subgroups of compact simple Lie groups of type E.
Geom. Dedicata 185 (2016), 205–269.
On
the dimension datum of a subgroup. Duke Math. J. 165
(2016), no. 14, 2683-2736.
Rational
rigidity for F4(p).
Adv. Math. 302 (2016), 48–58.
A
compactness result for dimension datum. IMRN (2015), no. 19,
9438–9449.
Algebraic
vector bundles on punctured affine spaces and smooth quadrics.
Adv. Math. 257 (2014), 337–348.
Elementary
abelian 2-subgroups of compact Lie groups. Geom. Dedicata
167 (2013),
245–293.
Klein
four-subgroups of Lie algebra automorphisms. Pacific J.
Math. 262 (2013), no. 2, 397-420.
On
the dimension datum of a subgroup and its application to
isospectral manifolds. JDG 94 (2013), no. 1, 59-85.
Existence
of universal entangler. J. Math. Phys. 49 (2008), no. 1.
Preprints
A strong multiplicity one theorem for dimension data.
Preprint, arXiv:2111.13343.
The functorial source problem via dimension data. Preprint,
arXiv:2111.13341.
Restriction of irreducible unitary representations of Spin(N,1) to parabolic subgroups. Preprint,
arXiv:2010.01026.
A geometric interpretation of Kirillov’s conjecture.
Preprint, arXiv:1806.06318.
Twisted
root systems of a (*)-subgroup. Preprint,
arXiv:1805.06330.
Links
PKU,
BICMR, arXiv,
AMS.
|