Amritanshu Prasad
Professor
Mathematics
2254 3207
amri @ imsc . res . in
207 New Building
Research Interests:
- Combinatorics
- Representation Theory
- Harmonic Analysis
- Automorphic Forms
Education:
- B.Stat., Indian Statistical Institute, Kolkata, 1995.
- M.S., The University of Chicago, 1996
- Ph.D., The University of Chicago, 2001
Career History:
- CRM-CICMA postdoctoral fellow, University of Montréal, 2001-2003.
- Faculty at IMSc, 2003-present.
Courses Taught:
- Algebraic Combinatorics (NPTEL online course)
- Algebra I (NPTEL online course)
- Algebra II (NPTEL online course)
- Mathematical Thinking (IIT Madras online data science degree program)
- Complex Analysis
- Measure Theory
- Topology I
- Topology II
- Functional Analysis
- Sage Programming
- Representation Theory
- Non-semisimple phenomena in representation theory
- Locally compact abelian groups
Selected publications:
- Representation Theory: A Combinatorial Viewpoint, Cambridge University Press, 2015.
- Cyclic Characters of Alternating Groups, with Amrutha P and Velmurugan S (preprint, 2024).
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On the Existence of Elementwise Invariant Vectors in Representations of Symmetric Groups, with Amrutha P and Velmurugan S, to appear in Algebraic Combinatorics, 2024.
-
Enumeration of Anti-Invariant Subspaces and Touchard's Formula for the Entries of the q-Hermite Catalan Matrix, with Samrith Ram, Advances in Applied Mathematics, Volume 154, March 2024, 102654.
- Splitting subspaces and a finite field interpretation of the Touchard–Riordan Formula, with Samrith Ram. European J. Combin., vol. 110, May 2023, 103705.
- Set Partitions, Tableaux, and Subspace Profiles of Regular Diagonal Operators, with Samrith Ram. Sém. Lothar. Combin. (Proceedings of the 34th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC)), 86B.35, 2022.
- Character polynomials and the restriction problem, with Sridhar P Narayanan, Digjoy Paul and Shraddha Srivastava. Algebraic Combinatorics, Vol. 4, No. 4, pages 703--722, 2021.
- Schur Algebras for the Alternating Group and Koszul Duality , with Thangavelu Geetha and Shraddha Srivastava, Pacific J. Math., Vol. 306, No. 1, pages 153--184, 2020.
- Representations of symmetric groups with non-trivial determinant, with Arvind Ayyer and Steven Spallone, J. Combin. Th., Ser. A, 150:208-232, 2017.
- Odd Partitions in Young's lattice, with Arvind Ayyer and Steven Spallone, Sém. Lothar. Combin., vol. 75, art. B75g, 2016.
- Combinatorics of finite abelian groups and Weil representations, with Kunal Dutta, Pac. J. Math, 275(2):295-324, 2015.
- Degenerations and orbits in finite abelian groups, with Kunal Dutta. J. Combin. Theory Ser. A., 118:1685-1694, 2011.
- Locally compact abelian groups with symplectic self-duality, with Ilya Shapiro and M. K. Vemuri. Adv. Math., 225:2429-2454, 2010.
- Almost unramified discrete spectrum for split groups over Fq(t), Duke Math. J., 113:237--257, 2002.