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
21	On Approximate solution to the Inverse Quasi-variational Inequality Problem	Soumitra Dey and V. Vetrivel	Scientiae Mathematicae Japonicae Volume: 81, no. 3	2018
22	A new variant of Arnoldi method for approximation of eigenpairs	MashettiRavibabu and Arindama Singh	Journal of Computational and Applied Mathematics Volume: 344 Page: 424-437 DOI:https://doi.org/10.1016/j.cam.2018.05.047	2018
23	Tropical dominating sets in vertex-coloured graphs	Angl`es d'Auriac, J.-A. and Bujt'as, Cs. and El Maftouhi, A. and Karpinski, M. and Manoussakis, Y. and Montero, L. and Narayanan, N. and Rosaz, L. and Thapper, J. and Tuza, Zs.	J. Discrete Algorithms Volume: 48 Page: 27-41 DOI:10.1016/j.jda.2018.03.001	2018
24	Pseudo-binomial approximation to $(k_1,k_2)$-runs	Upadhye, N.S. and Kumar, A.N.	Statistics and Probability Letters Volume: 141 Page: 19-30 DOI:10.1016/j.spl.2018.05.016	2018
25	Generalizations of distributions related to $(k_1,k_2)$-runs	Kumar, A.N. and Upadhye, N.S.	Metrika Page: 1-20 DOI:10.1007/s00184-018-0668-x	2018
26	Fractal approximation of Jackson type for periodic phenomena	M.A.Navascues, Sangita Jha, A.K.B. Chand and M.V.Sebastian	Fractals DOI:10.1142/S0218348X18500792	2018
27	On the Vasconcelos inequality for the fiber multiplicity of modules	Balakrishnan, R. and Jayanthan, A. V.	Comm. Algebra Volume: 46 Page: 3322-3333 DOI:10.1080/00927872.2017.1412452	2018
28	On Derivation Languages of a Class of Splicing Systems	Kalpana Mahalingam, Prithwineel Paul, and Erkki M¨akinen	Acta Cybernetica Volume: 23 (4) Page: 981–993	2018
29	Properties of Parikh Matrices of Binary Words Obtained by an Extension of a Restricted Shuffle Operator	Somnath Bera, Kalpana Mahalingam and K. G. Subramanian	International Journal of Foundations of Computer Science Volume: 29, No. 03 Page: 403-413 DOI:10.1142/S0129054118500119	2018
30	RELATIVE WATSON-CRICK PRIMITIVITY OF WORDS	Lila Kari, Manasi S. Kulkarni and Kalpana Mahalingam	Journal of Automata, Languages and Combinatorics Volume: 23 (1-3) Page: 201-217 DOI:10.25596/jalc-2018-201	2018

Title

Authors

Journal

Year

On Approximate solution to the Inverse Quasi-variational Inequality Problem

Soumitra Dey and V. Vetrivel

Scientiae Mathematicae Japonicae

Volume: 81, no. 3

2018

A new variant of Arnoldi method for approximation of eigenpairs

MashettiRavibabu and Arindama Singh

Journal of Computational and Applied Mathematics

Volume: 344 Page: 424-437 DOI:https://doi.org/10.1016/j.cam.2018.05.047

2018

Tropical dominating sets in vertex-coloured graphs

Angl`es d'Auriac, J.-A. and Bujt'as, Cs. and El Maftouhi, A. and Karpinski, M. and Manoussakis, Y. and Montero, L. and Narayanan, N. and Rosaz, L. and Thapper, J. and Tuza, Zs.

J. Discrete Algorithms

Volume: 48 Page: 27-41 DOI:10.1016/j.jda.2018.03.001

2018

Pseudo-binomial approximation to $(k_1,k_2)$-runs

Upadhye, N.S. and Kumar, A.N.

Statistics and Probability Letters

Volume: 141 Page: 19-30 DOI:10.1016/j.spl.2018.05.016

2018

Generalizations of distributions related to $(k_1,k_2)$-runs

Kumar, A.N. and Upadhye, N.S.

Metrika

Page: 1-20 DOI:10.1007/s00184-018-0668-x

2018

Fractal approximation of Jackson type for periodic phenomena

M.A.Navascues, Sangita Jha, A.K.B. Chand and M.V.Sebastian

Fractals

DOI:10.1142/S0218348X18500792

2018

On the Vasconcelos inequality for the fiber multiplicity of modules

Balakrishnan, R. and Jayanthan, A. V.

Comm. Algebra

Volume: 46 Page: 3322-3333 DOI:10.1080/00927872.2017.1412452

2018

On Derivation Languages of a Class of Splicing Systems

Kalpana Mahalingam, Prithwineel Paul, and Erkki M¨akinen

Acta Cybernetica

Volume: 23 (4) Page: 981–993

2018

Properties of Parikh Matrices of Binary Words Obtained by an Extension of a Restricted Shuffle Operator

Somnath Bera, Kalpana Mahalingam and K. G. Subramanian

International Journal of Foundations of Computer Science

Volume: 29, No. 03 Page: 403-413 DOI:10.1142/S0129054118500119

2018

RELATIVE WATSON-CRICK PRIMITIVITY OF WORDS

Lila Kari, Manasi S. Kulkarni and Kalpana Mahalingam

Journal of Automata, Languages and Combinatorics

Volume: 23 (1-3) Page: 201-217 DOI:10.25596/jalc-2018-201

2018

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