Department of Mathematics

Algebra and Number Theory

Faculty	Areas of Research
A V Jayanthan	Commutative Algebra, Graph Ideals
Dipramit Majumdar	Algebraic Number Theory, p-adic modular forms
Sarang Sane	Algebra, K-theory

Analysis and Linear Algebra

Faculty	Research Areas
Aprameyan Parthasarathy	Analysis on symmetric spaces, representations of real Lie groups, geometric quantisation
R Balaji	Linear Algebra and Optimization.
A K B Chand	Fractals, Wavelets, Approximation Theory
S H Kulkarni	Functional Analysis
Kunal Krishna Mukherjee	Operator Algebras, Functional Analysis
M Thamban Nair	Functional Analysis, Ill posed Problems
Ponnusamy S	Complex analysis, Functional Spaces
Radha R	Harmonic Analysis
Sriram B	Functional Analysis
Sumesh K	Operator Algebras
K C Sivakumar	Functional Analysis, Matrix Theory
Veeramani P	Metric Fixed Point Theory and Applications
Vetrivel V	Non-linear Analysis, Fixed point theory

Combinatorics and Theoretical Computer Science

Name	Research Areas
Arindama Singh	Logic
Kalpana Mahalingam	DNA Computing
Sounaka Mishra	Approximation Algorithms
Narayanan N	Graph Theory, Graph Ideals, Probabilistic Combinatorics
Rama R	DNA Computing
Santanu Sarkar	Cryptology, Computational Number Theory

Differential Equations and Applied Mathematics

Name	Research Areas
Anoop T V	Linear and Nonlinear Partial Differential Equations, Nonlinear Functional Analysis
Chidella Sreenivasa Rao	Non-linear Differential Equations
Manam S R	Differential and Integral Equations, Wave-Structure Interaction.
Satyajit Roy	Computational Fluid Dynamics, Convective Heat And Mass Transfer
Sanyasiraju Y V S S	Computational Fluid Dynamics
Shaiju A J	Systems and Control Theory, Game Theory
Shruti Dubey	Nolinear analysis of functional differential equations, Mathematical study of ferromagnetic systems
Priyanka Shukla	Fluid Mechanics: hydrodynamic instability; Nonlinear dynamics; Numerical PDE; Granular flows; Pattern formation.
Sivaram Ambikasaran	Numerical Linear Algebra, Fast Algorithms, and Scientific Computing
Sundar S	Numerics for PDEs, Mathematical Modeling & Numerical Simulation
Usha R	Fluid and Solid Mechanics

Geometry and Topology

Name	Research Areas
Arijit Dey	Algebraic Geometry
Ramesh Kasilingam	Differential and Algebraic Topology
Suhas Jayakumar Pandit	Geometric Group Theory, Low dimensional topology
Soumen Sarkar	Algebraic Topology, Geometric Topology, Differential Geometry, Convex Geometry, K-Theory, Topological Complexity, Persistent Homology, Ring of Continuous Functions
V Uma	Algebraic Topology, Algebraic Geometry
Venkatabalaji T E	Algebraic Geometry

Probability and Statistics

Name	Research Areas
Neelesh Upadhye	Probability theory and Applications
Shaiju A J	Systems and Control Theory, Game Theory

#	Title	Authors	Journal	Year
1	Instability of a plane Poiseuille flow bounded between inhomogeneous anisotropic porous layers	Supriya Karmakar, Priyanka Shukla	Thermal Science and Engineering Progress DOI:https://doi.org/10.1016/j.tsep.2023.101758	2023
2	On the commutants of generators of q-deformed Araki-Woods von Neumann algebras	P. Bikram and Kunal Mukherjjee	Publ. Res. Inst. Math. Sci., Kyoto. Volume: 58(3)	2022
3	Mixed q-deformed Araki-Woods von Neumann algebras	P. Bikram, R. Kumar and K. Mukherjee	to appear in J. Noncommut. Geom.	2022
4	Non-injectivity of mixed q-deformed Araki-Woods von Neumann algebra	P. Bikram R. Kumar and K. Mukherjee	to appear in Kyoto J. Math.	2022
5	A second order accurate fixed-grid method for multi-dimensional Stefan problem with moving phase change materials	S. Nandi and Y.V.S.S. Sanyasiraju	Applied Mathematics and Computation (Elsevier) Volume: 416 Page: 126719 DOI:https://doi.org/10.1016/j.amc.2021.126719	2022
6	A characterization of atomic von Neumann algebras	D.De and K. Mukherjee	Proc. Math. Sci. Ind. Acad.	2022
7	Binary Operations in Metric Spaces Satisfying Side Inequalities	M. A. Navascues, R. Pasupathi, A. K. B. Chand	Mathematics Volume: 10(1) Page: 11 DOI:https://doi.org/10.3390/math10010011	2022
8	Cubic spline fractal solutions of two-point boundary value problems with a non-homogeneous nowhere differentiable term	A. K. B. Chand, K. R. Tyada, M. A. Navascués	Journal of Computational and Applied Mathematics Volume: 404 Page: 113267 DOI:https://doi.org/10.1016/j.cam.2020.113267	2022
9	Szego-Weinberger Type Inequalities for Symmetric Domains with Holes	Anoop, T. V. and Bobkov, Vladimir and Drabek, Pavel	SIAM Journal on Mathematical Analysis Volume: 54 Page: 389-422 DOI:10.1137/21M1407227	2022
10	A Note on Pointwise Well-Posedness of Set-Valued Optimization Problems	Kuntal Som & Vellaichamy Vetrivel	Journal of Optimization Theory and Applications DOI:https://doi.org/10.1007/s10957-021-01981-1	2022

Title

Authors

Journal

Year

Instability of a plane Poiseuille flow bounded between inhomogeneous anisotropic porous layers

Supriya Karmakar, Priyanka Shukla

Thermal Science and Engineering Progress

DOI:https://doi.org/10.1016/j.tsep.2023.101758

2023

On the commutants of generators of q-deformed Araki-Woods von Neumann algebras

P. Bikram and Kunal Mukherjjee

Publ. Res. Inst. Math. Sci., Kyoto.

Volume: 58(3)

2022

Mixed q-deformed Araki-Woods von Neumann algebras

P. Bikram, R. Kumar and K. Mukherjee

to appear in J. Noncommut. Geom.

2022

Non-injectivity of mixed q-deformed Araki-Woods von Neumann algebra

P. Bikram R. Kumar and K. Mukherjee

to appear in Kyoto J. Math.

2022

A second order accurate fixed-grid method for multi-dimensional Stefan problem with moving phase change materials

S. Nandi and Y.V.S.S. Sanyasiraju

Applied Mathematics and Computation (Elsevier)

Volume: 416 Page: 126719 DOI:https://doi.org/10.1016/j.amc.2021.126719

2022

A characterization of atomic von Neumann algebras

D.De and K. Mukherjee

Proc. Math. Sci. Ind. Acad.

2022

Binary Operations in Metric Spaces Satisfying Side Inequalities

M. A. Navascues, R. Pasupathi, A. K. B. Chand

Mathematics

Volume: 10(1) Page: 11 DOI:https://doi.org/10.3390/math10010011

2022

Cubic spline fractal solutions of two-point boundary value problems with a non-homogeneous nowhere differentiable term

A. K. B. Chand, K. R. Tyada, M. A. Navascués

Journal of Computational and Applied Mathematics

Volume: 404 Page: 113267 DOI:https://doi.org/10.1016/j.cam.2020.113267

2022

Szego-Weinberger Type Inequalities for Symmetric Domains with Holes

Anoop, T. V. and Bobkov, Vladimir and Drabek, Pavel

SIAM Journal on Mathematical Analysis

Volume: 54 Page: 389-422 DOI:10.1137/21M1407227

2022

A Note on Pointwise Well-Posedness of Set-Valued Optimization Problems

Kuntal Som & Vellaichamy Vetrivel

Journal of Optimization Theory and Applications

DOI:https://doi.org/10.1007/s10957-021-01981-1

2022

Major Areas of Research

Algebra and Number Theory

Analysis and Linear Algebra

Combinatorics and Theoretical Computer Science

Differential Equations and Applied Mathematics

Geometry and Topology

Probability and Statistics

Research GroupPage Under Construction

Publications