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Santosha Kumar Pattanayak
PhD (CMI Chennai)
Associate Professor, Department of Mathematics and Statistics
Research Interest
Algebraic Groups and Invariant Theory, Lie Algebra and Representation Theory
FB 502
Department of Mathematics and Statistics
IIT Kanpur,
Kanpur 208016
Specialization
Invariant theory and Algebraic Geometry
Education
PhD, CMI Chennai, 2011Thesis title: Problems related to Invariant theory of Torus and finite groups
M.Sc., University of Hyderabad, 2005
Selected 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 dimensiona l Schubert varieties admitting semistable points, with S.S. Kannan, Proc. Indian Acad. of Sci. Math. Sci. 119(2 009), 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 Elec- tronic Journal of Combinatorial Number Theory, Vol 11 (2011 ).
Invariant theory of Torus and finite groups: A Geometric Appr oach , LAP Lambert Academic Publishing, 2011, Germany.ISBN 978-3-8465-0745-2.
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 Ele- ments (With S.S. Kannan and B.N. Chary), Comm. Algebra, Vol. 42, no . 5 (2014).
Minimal Schubert Varieties admitting semistable points fo r exceptional cases ,Comm. Algebra, Vol. 42, no. 9 (2014)
Awards & Fellowships
INSPIRE Faculty Award
Keywords
Santosha, Santosh, Algebra, Geometry, Invariant Theory, Algebraic Geometry, Representation theory.
Professional Experience
Associate Prof. : IIT Kanpur (November 2018-till now)
Asst. Prof. : IIT Kanpur (till October 2018)
Asst. Prof. : NISER (August 2013-December 2013)
PostDoc: Weizmann Institute of Science (August 2011-August 2013)