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
271	Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties	Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun	Random Oper. Stoch. Equ. 25 (2017), no. 2, 79–105.	2017
272	On compact bicrossed products	Fima, Pierre and Mukherjee, Kunal and Patri, Issan	J. Noncommut. Geom. Volume: 11 Page: 1521-1591 DOI:10.4171/JNCG/11-4-10	2017
273	${\rm E}_0$-semigroups of free Araki-Woods factors	Bikram, Panchugopal and Mukherjee, Kunal	Internat. J. Math. Volume: 28 Page: 1750075, 10 DOI:10.1142/S0129167X17500756	2017
274	Generator masas in $q$-deformed Araki-Woods von Neumann algebras and factoriality	Bikram, Panchugopal and Mukherjee, Kunal	J. Funct. Anal. Volume: 273 Page: 1443-1478 DOI:10.1016/j.jfa.2017.03.005	2017
275	Mixing and weakly mixing abelian subalgebras of type ${\rm II}_1$ factors	Cameron, Jan and Fang, Junsheng and Mukherjee, Kunal	J. Funct. Anal. Volume: 272 Page: 2697-2725 DOI:10.1016/j.jfa.2016.12.006	2017
276	KMS quantum symmetric states	Dykema, Ken and Mukherjee, Kunal	J. Math. Phys. Volume: 58 Page: 012103, 12 DOI:10.1063/1.4974361	2017
277	A discrete regularization method for Ill-posed operator equations,	M. T. Nair	The Journal of Analysis Volume: 25 Page: 53 - 266 DOI:DOI 10.1007/s41478-017-0047-4	2017
278	A Derivativefree iterative method for nonlinear ill-posed equations with monotone operators	S. George and M.T. Nair	J. Inverse and Ill-Posed Problems Volume: 25 Page: 543-551 DOI:DOI:10.1515/JIIP-2014-0049	2017
279	A linear regularization method for a nonlinear parameter identification problem	M.T. Nair and S. D. Roy	J. Inverse and Ill-Posed Problems Volume: 26 Page: 687-701 DOI:doi:10.1515/JIIP-2015-0091	2017
280	Core-annular miscible two-fluid flow in a slippery pipe: A stability analysis	G Chattopadhyay, R Usha, KC Sahu	Physics of Fluids Volume: 29 Page: 097106 DOI:https://doi.org/10.1063/1.4989744	2017

Title

Authors

Journal

Year

271

Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties

Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun

Random Oper. Stoch. Equ. 25 (2017), no. 2, 79–105.

2017

272

On compact bicrossed products

Fima, Pierre and Mukherjee, Kunal and Patri, Issan

J. Noncommut. Geom.

Volume: 11 Page: 1521-1591 DOI:10.4171/JNCG/11-4-10

2017

273

${\rm E}_0$-semigroups of free Araki-Woods factors

Bikram, Panchugopal and Mukherjee, Kunal

Internat. J. Math.

Volume: 28 Page: 1750075, 10 DOI:10.1142/S0129167X17500756

2017

274

Generator masas in $q$-deformed Araki-Woods von Neumann algebras and factoriality

Bikram, Panchugopal and Mukherjee, Kunal

J. Funct. Anal.

Volume: 273 Page: 1443-1478 DOI:10.1016/j.jfa.2017.03.005

2017

275

Mixing and weakly mixing abelian subalgebras of type ${\rm II}_1$ factors

Cameron, Jan and Fang, Junsheng and Mukherjee, Kunal

J. Funct. Anal.

Volume: 272 Page: 2697-2725 DOI:10.1016/j.jfa.2016.12.006

2017

276

KMS quantum symmetric states

Dykema, Ken and Mukherjee, Kunal

J. Math. Phys.

Volume: 58 Page: 012103, 12 DOI:10.1063/1.4974361

2017

277

A discrete regularization method for Ill-posed operator equations,

M. T. Nair

The Journal of Analysis

Volume: 25 Page: 53 - 266 DOI:DOI 10.1007/s41478-017-0047-4

2017

278

A Derivativefree iterative method for nonlinear ill-posed equations with monotone operators

S. George and M.T. Nair

J. Inverse and Ill-Posed Problems

Volume: 25 Page: 543-551 DOI:DOI:10.1515/JIIP-2014-0049

2017

279

A linear regularization method for a nonlinear parameter identification problem

M.T. Nair and S. D. Roy

J. Inverse and Ill-Posed Problems

Volume: 26 Page: 687-701 DOI:doi:10.1515/JIIP-2015-0091

2017

280

Core-annular miscible two-fluid flow in a slippery pipe: A stability analysis

G Chattopadhyay, R Usha, KC Sahu

Physics of Fluids

Volume: 29 Page: 097106 DOI:https://doi.org/10.1063/1.4989744

2017

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