The research activities of the Mathematics department at IISER Pune span a wide range of deep and fundamental areas like algebraic and analytic number theory, automorphic forms, representation theory, finite groups, algebraic K-theory, partial and stochastic differential equations, several variable complex analysis, harmonic analysis, operator theory, algebraic geometry, differential geometry, low dimensional topology, cryptography, algorithms, coding theory, probability theory, mathematical finance and statistical modelling.
View here a list of Publications from the Mathematics Department.
Research Areas
Algebra, Number Theory and Representation Theory
Topics: Algebraic Number Theory, Automorphic Forms, L-Functions and their Special Values, Arithmetic Geometry, Motives, Galois Representations, Analytic Number Theory, Modular Forms, Theory of Witt vector of associative rings
Finite Group Theory, Linear Algebraic Groups, Lie Groups & Lie Algebras, Representation Theory of Real, p-Adic and Adelic Groups, Cohomology of Arithmetic Groups
Anupam Kumar Singh, Baskar Balasubramanyam, Chandrasheel Bhagwat, Debargha Banerjee, Kaneenika Sinha, Manish Mishra, Rabeya Basu, Steven Spallone, Supriya Pisolkar
Analysis and Differential Equations
Topics: Elliptic Partial Differential Equations, Nonlinear Analysis, Variational Methods, Shape Optimization
Functional Analysis and Operator theory, Nonlinear Dispersive Equations, Nonlocal partial differential equations, Potential theory, Control theory, Equations with measure data
Partial Differential Equations on Riemannian manifolds
Stochastic Differential Equations
Several Complex Variables
Harmonic Analysis on Locally Symmetric Spaces
Anisa Chorwadwala, Diganta Borah, Divyang Bhimani, Haripada Sau, Mousomi Bhakta, Anup Biswas, Chandrasheel Bhagwat, Anindya Goswami
Geometry and Topology
Topics: Algebraic Geometry, Vector Bundles, Motivic Cohomology Triangulated Categories, Real Algebraic Geometry, Differential Geometry, Symplectic Geometry
Knot Theory, Low Dimensional Topology
Triangulations, Hyperbolic geometry
Geometric aspects of Locally Symmetric Spaces
Amit Hogadi, Mainak Poddar, Rama Mishra, Tejas Kalelkar, Vivek Mohan Mallick, Chandrasheel Bhagwat
Discrete Mathematics, Cryptography, and Coding Theory
Topics: Cryptography, Combinatorics, Algorithms
Statistical Designs, Software Testing
Coding Theory
Spectral Graph Theory
Ayan Mahalanobis, Krishna Kaipa, Soumen Maity
Applicable Mathematics
Topics: Probability Theory, Mathematical Finance, Dynamic Game Theory
Queuing Theory, Stochastic Control, Large Deviation Theory
Statistical Modeling and Inference
Centres and Collaborations
The department has been awarded funds to expand research infrastructure under the FIST programme of the Department of Science and Technology. We have an MoU with the Bhaskaracharya Pratishthana, Pune.