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 R	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	On reverse Faber-Krahn inequalities	T. V. Anoop and K. Ashok Kumar	Journal of Mathematical Analysis and Applications Volume: 485 Page: 123766 DOI:10.1016/j.jmaa.2019.123766	2020
2	Notes on a neural network approach to inverse variational inequalities	Hong-Kun Xu, Soumitra Dey & V. Vetrivel	Optimization Page: 1-10 DOI: https://doi.org/10.1080/02331934.2019.1705822	2020
3	On the Least number of palindromes in two dimensional words	K.Mahalingam, P.Pandoh and K.Krithivasan	Theoretical Computer Science (Accepted) Page: https://www.sciencedirect.com/science/article/pii/S0304397519304463 DOI:https://doi.org/10.1016/j.tcs.2019.06.030	2019
4	Continuity of the ( n , ϵ )-Pseudospectrum in Banach Algebras	Kousik Dhara, S. H. Kulkarni and Markus Seidel	Integral Equations and Operator Theory DOI:10.1007/s00020-019-2530-6	2019
5	Neumann eigenvalue problems on the exterior domains	Anoop, T. V. and Biswas, Nirjan	Nonlinear Anal. Volume: 187 Page: 339-351 DOI:10.1016/j.na.2019.05.004	2019
6	Regularity of binomial edge ideals of certain block graphs	Jayanthan, A. V. and Narayanan, N. and Raghavendra Rao, B. V.	Proc. Indian Acad. Sci. Math. Sci. Volume: 129 Page: Art. 36, 10 DOI:10.1007/s12044-019-0480-1	2019
7	Construction and Categoricity of the Real Number System Using Decimals	Arindama Singh	Mathematics News Letter of RMS Volume: 30 Page: 1-13 DOI:http://www.ramanujanmathsociety.org/publications/mnl	2019
8	Operation Insertion on the Conjugacy and Commutativity of Words	Hirapra Ravi and Kalpana Mahalingam	TPNC 2019: Theory and Practice of Natural Computing- LNCS Volume: LNCS 11934 Page: 70-81 DOI:https://doi.org/10.1007/978-3-030-34500-6_4	2019
9	Time-changed Poisson processes of order k	Ayushi S. Sengar and A. Maheshwari and N. S. Upadhye	Stochastic Analysis and Applications Page: 1-25 DOI:10.1080/07362994.2019.1653198	2019
10	New cube distinguishers on NFSR-based stream ciphers	Kesarwani, Abhishek and Roy, Dibyendu and Sarkar, Santanu and Meier, Willi	Designs, Codes and Cryptography DOI:10.1007/s10623-019-00674-1	2019

Title

Authors

Journal

Year

On reverse Faber-Krahn inequalities

T. V. Anoop and K. Ashok Kumar

Journal of Mathematical Analysis and Applications

Volume: 485 Page: 123766 DOI:10.1016/j.jmaa.2019.123766

2020

Notes on a neural network approach to inverse variational inequalities

Hong-Kun Xu, Soumitra Dey & V. Vetrivel

Optimization

Page: 1-10 DOI: https://doi.org/10.1080/02331934.2019.1705822

2020

On the Least number of palindromes in two dimensional words

K.Mahalingam, P.Pandoh and K.Krithivasan

Theoretical Computer Science (Accepted)

Page: https://www.sciencedirect.com/science/article/pii/S0304397519304463 DOI:https://doi.org/10.1016/j.tcs.2019.06.030

2019

Continuity of the ( n , ϵ )-Pseudospectrum in Banach Algebras

Kousik Dhara, S. H. Kulkarni and Markus Seidel

Integral Equations and Operator Theory

DOI:10.1007/s00020-019-2530-6

2019

Neumann eigenvalue problems on the exterior domains

Anoop, T. V. and Biswas, Nirjan

Nonlinear Anal.

Volume: 187 Page: 339-351 DOI:10.1016/j.na.2019.05.004

2019

Regularity of binomial edge ideals of certain block graphs

Jayanthan, A. V. and Narayanan, N. and Raghavendra Rao, B. V.

Proc. Indian Acad. Sci. Math. Sci.

Volume: 129 Page: Art. 36, 10 DOI:10.1007/s12044-019-0480-1

2019

Construction and Categoricity of the Real Number System Using Decimals

Arindama Singh

Mathematics News Letter of RMS

Volume: 30 Page: 1-13 DOI:http://www.ramanujanmathsociety.org/publications/mnl

2019

Operation Insertion on the Conjugacy and Commutativity of Words

Hirapra Ravi and Kalpana Mahalingam

TPNC 2019: Theory and Practice of Natural Computing- LNCS

Volume: LNCS 11934 Page: 70-81 DOI:https://doi.org/10.1007/978-3-030-34500-6_4

2019

Time-changed Poisson processes of order k

Ayushi S. Sengar and A. Maheshwari and N. S. Upadhye

Stochastic Analysis and Applications

Page: 1-25 DOI:10.1080/07362994.2019.1653198

2019

New cube distinguishers on NFSR-based stream ciphers

Kesarwani, Abhishek and Roy, Dibyendu and Sarkar, Santanu and Meier, Willi

Designs, Codes and Cryptography

DOI:10.1007/s10623-019-00674-1

2019

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