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
501	On the negative binomial distribution and its generalizations	Vellaisamy, P. and Upadhye, N.S.	Statistics and Probability Letters Volume: 77 Page: 173-180 DOI:10.1016/j.spl.2006.06.008	2007
502	Study of heat flow through highly porous heat insulators	Roy, Samir and Sundar, S.	Stud. Appl. Math. Volume: 118 Page: 1-15 DOI:10.1111/j.1467-9590.2007.00361.x	2007
503	On the negative binomial distribution and its generalizations	Vellaisamy, P and Upadhye, NS	Statistics & probability letters Volume: 77 Page: 173â€“180	2007
504	Understanding the porosity dependence of heat flux through glass fiber insulation	Roy, Samir and Junk, Michael and Sundar, S.	Math. Comput. Modelling Volume: 43 Page: 485-492 DOI:10.1016/j.mcm.2005.08.013	2006
505	Optimal acyclic edge colouring of grid like graphs	Muthu, Rahul and Narayanan, N. and Subramanian, C. R.	Lecture Notes in Computer Science Volume: 4112 Page: 360-367 DOI:10.1007/11809678_38	2006
506	Effects of thermal boundary conditions on natural convection flows within a square cavity	Basak, T. and Roy, S. and Balakrishnan, A.R.	International Journal of Heat and Mass Transfer Volume: 49 Page: 4525-4535 DOI:10.1016/j.ijheatmasstransfer.2006.05.015	2006
507	Effect of non-uniform slot injection (suction) on a forced flow over a slender cylinder	Datta, P. and Anilkumar, D. and Roy, S. and Mahanti, N.C.	International Journal of Heat and Mass Transfer Volume: 49 Page: 2366-2371 DOI:10.1016/j.ijheatmasstransfer.2005.10.044	2006
508	Unsteady mixed convection from a moving vertical slender cylinder	Roy, S.J. and Anilkumar, D.	Journal of Heat Transfer Volume: 128 Page: 368-373 DOI:10.1115/1.2165206	2006
509	Natural convection in a square cavity filled with a porous medium: Effects of various thermal boundary conditions	Basak, T. and Roy, S. and Paul, T. and Pop, I.	International Journal of Heat and Mass Transfer Volume: 49 Page: 1430-1441 DOI:10.1016/j.ijheatmasstransfer.2005.09.018	2006
510	Improved bounds on acyclic edge colouring	Muthu, Rahul and Narayanan, N. and Subramanian, C. R.	Electronic Notes in Discrete Mathematics Volume: 19 Page: 171-177 DOI:10.1016/j.endm.2005.05.024	2005

Title

Authors

Journal

Year

501

On the negative binomial distribution and its generalizations

Vellaisamy, P. and Upadhye, N.S.

Statistics and Probability Letters

Volume: 77 Page: 173-180 DOI:10.1016/j.spl.2006.06.008

2007

502

Study of heat flow through highly porous heat insulators

Roy, Samir and Sundar, S.

Stud. Appl. Math.

Volume: 118 Page: 1-15 DOI:10.1111/j.1467-9590.2007.00361.x

2007

503

On the negative binomial distribution and its generalizations

Vellaisamy, P and Upadhye, NS

Statistics & probability letters

Volume: 77 Page: 173â€“180

2007

504

Understanding the porosity dependence of heat flux through glass fiber insulation

Roy, Samir and Junk, Michael and Sundar, S.

Math. Comput. Modelling

Volume: 43 Page: 485-492 DOI:10.1016/j.mcm.2005.08.013

2006

505

Optimal acyclic edge colouring of grid like graphs

Muthu, Rahul and Narayanan, N. and Subramanian, C. R.

Lecture Notes in Computer Science

Volume: 4112 Page: 360-367 DOI:10.1007/11809678_38

2006

506

Effects of thermal boundary conditions on natural convection flows within a square cavity

Basak, T. and Roy, S. and Balakrishnan, A.R.

International Journal of Heat and Mass Transfer

Volume: 49 Page: 4525-4535 DOI:10.1016/j.ijheatmasstransfer.2006.05.015

2006

507

Effect of non-uniform slot injection (suction) on a forced flow over a slender cylinder

Datta, P. and Anilkumar, D. and Roy, S. and Mahanti, N.C.

International Journal of Heat and Mass Transfer

Volume: 49 Page: 2366-2371 DOI:10.1016/j.ijheatmasstransfer.2005.10.044

2006

508

Unsteady mixed convection from a moving vertical slender cylinder

Roy, S.J. and Anilkumar, D.

Journal of Heat Transfer

Volume: 128 Page: 368-373 DOI:10.1115/1.2165206

2006

509

Natural convection in a square cavity filled with a porous medium: Effects of various thermal boundary conditions

Basak, T. and Roy, S. and Paul, T. and Pop, I.

International Journal of Heat and Mass Transfer

Volume: 49 Page: 1430-1441 DOI:10.1016/j.ijheatmasstransfer.2005.09.018

2006

510

Improved bounds on acyclic edge colouring

Muthu, Rahul and Narayanan, N. and Subramanian, C. R.

Electronic Notes in Discrete Mathematics

Volume: 19 Page: 171-177 DOI:10.1016/j.endm.2005.05.024

2005

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