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Santosha Pattanayak
Associate
Professor
Department of Mathematics and
Statistics
IIT Kanpur
Kanpur
208016
Office FB- 502
Tel
+91-512-2596402
Fax
+91-512-2597500
Email
santosha@iitk.ac.in |
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Research
- Algebraic Groups and Invariant Theory.
- Lie algebras and Representation
Theory.
Employment
- Associate Professor: IIT
Kanpur; November 2018-...
- Assistant Professor: IIT Kanpur;
December '13-October 18
- Visiting Professor: Virginia
Tech, USA: January' 17-July' 17
- Adjunct Professor: Chennai Mathematical
Institute; April' 15-...
- Assistant Professor: NISER
Bhubaneswar; August '13- December '13
- Postdoctoral Fellow: Weizmann
Institute of Science; Aug '11- Aug '13
Education
- Ph.D: Chennai Mathematical Institute
(2011)
- MSc: Hyderabad University (2005)
Teaching
Publications
- Projective normality of finite group
quotients (With S. S. Kannan and Pranab
Sardar), Proc. Amer. Math. Soc. 137
(2009), no. 3, 863-867.
- Torus quotients of homogeneous spaces-
minimal dimensional Schubert Varieties
admitting semistable points (With S. S.
Kannan), Proc. Indian Acad.
Sci. Math. Sci. 119 (2009),
no.4, 469-485.
- Projective Normality of Weyl Group
quotients (With S. S. Kannan), Proc.
Indian. Acad. Sci. Math. Sci. 121
(2011), no. 1, pp. 19-26.
- Normality, Projective normality and EGZ
theorem (With S. S. Kannan), INTEGERS: The
Electronic
Journal of Combinatorial Number Theory,
Vol 11 (2011).
- On some standard algebras in Modular
Invariant theory, J. Algebra Appl.,
Vol. 13, no. 1 (2014).
- Torus Invariants of the Homogeneous
Coordinate Ring of G/B-Connection with Coxeter
Elements (With S.S. Kannan and B.N. Chary), Comm.
Algebra, Vol. 42, no. 5 (2014).
- Minimal Schubert Varieties admitting
semistable points for exceptional cases,
Comm. Algebra, Vol. 42, no. 9
(2014). finalstrings,
C-code
- Projective normality of
GIT quotient varieties modulo finite
groups (With Pallav Goyal), Comm. Algebra, Vol.
45, no. 7 (2017).
- Torus quotients of
Richardson varieties (With S. S. Kannan
and S. Upadhyay), Comm. Algebra, Vol. 46,
no. 3 (2018).
- Torus
quotients of Richardson varieties in
orthogonal and symplectic Grassmannian
(With Arpita Nayek), J. Algebra
Appl. (2019).
- Projective
Normality of torus quotient of
Grassmannian (With Arpita Nayek),
Journal of Pure and Applied Algebra
(2020).
- On
Torus quotient of Schubert varieties
(With B.N. Chary), International Journal
of Mathematics, 32, no 3 (2021).
- On
the uniqueness of branching to fixed
point Lie subalgebras, (With N
Santosh), Forum Mathematicum-2022-0128.
- A note on Branching of $V(\rho)$ (with N Santosh), Journal of Algebra,
Volume 594, 2022, 194-201.
- Quotients
of commuting schemes associated to
symmetric pairs (with N Santosh),
Submitted.
- Weyl
Modules for Toroidal Lie algebras
(with
Sachin Sharma and S. Mukherjee),
Algebra and Representation
Theory,
Volume 26, 2023, 2605-2626.
- On
some central operators on classical
Lie superalgebras (with Sachin
Sharma and S. Mukherjee), Journal of
Pure and Applied Algebra, Volume 228,
Issue 7, 2024
.
- Graded
picture invariants and polynomial
invariants for mixed tensor
superspaces (with Preena Samuel),
Submitted.
- Projective
Normality of torus quotient of
orthogonal and symplectic Grassmannian
(With Arpita Nayek). Preprint.
- Mixed
tensor invariants of the Lie color
algebras (with
Preena Samuel), Preprint.
- On
tensor products of typical
representations of Lie
superalgebras (with Abhishek
Das), Preprint.
- Subtorus
quotient of Grassmannians,
Preprint.
- Topological
K-theory of Peterson varieties,
Preprint.
Responsibilities:
(1) Problem Committee
Member: Simon-Marai Mathematics Competition (Asia
Paciifc).
(2) Regional Coordinator (North
Zone): Mathematics Olympiad Program.
Links
Harish-Chandra
Birth Centenary Celebration at IIT Kanpur
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Last modified: 9 May
2014 |
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