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
511	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
512	Hilbert coefficients and depth of fiber cones	Jayanthan, A. V. and Verma, J. K.	J. Pure Appl. Algebra Volume: 201 Page: 97â€“115 DOI:10.1016/j.jpaa.2004.12.025	2005
513	Fiber cones of ideals with almost minimal multiplicity	Jayanthan, A. V. and Verma, J. K.	Nagoya Math. J. Volume: 177 Page: 155â€“179 DOI:10.1017/S0027763000009089	2005
514	Graded rings associated with contracted ideals	Conca, A. and De Negri, E. and Jayanthan, A. V. and Rossi, M. E.	J. Algebra Volume: 284 Page: 593â€“626 DOI:10.1016/j.jalgebra.2004.08.038	2005
515	Nonsimilar solution of an unsteady mixed convection flow on a moving slender cylinder	Anilkumar, D. and Roy, S.	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics Page: 566-571	2005
516	Natural convection inside a square cavity heated from below and symmetrically cooled at both sides: Effects of various dirichlet boundary conditions at the bottom wall	Roy, S. and Basak, T.	Proceedings of the ASME Summer Heat Transfer Conference Volume: 1 Page: 555-563 DOI:10.1115/HT2005-72353	2005
517	Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s)	Roy, S. and Basak, T.	International Journal of Engineering Science Volume: 43 Page: 668-680 DOI:10.1016/j.ijengsci.2005.01.002	2005
518	A numerical case study on nonlinear methods induced by linear Krylov solvers	Sundar, S.	J. Indian Acad. Math. Volume: 27 Page: 431-438	2005
519	A recursive packed algorithm for Cholesky factorization of tridiagonal and pentadiagonal matrix	Sundar, S.	J. Indian Acad. Math. Volume: 27 Page: 193-200	2005
520	Hilbert coefficients and depths of form rings	Jayanthan, A. V. and Singh, Balwant and Verma, J. K.	Comm. Algebra Volume: 32 Page: 1445â€“1452 DOI:10.1081/AGB-120028790	2004

Title

Authors

Journal

Year

511

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

512

Hilbert coefficients and depth of fiber cones

Jayanthan, A. V. and Verma, J. K.

J. Pure Appl. Algebra

Volume: 201 Page: 97â€“115 DOI:10.1016/j.jpaa.2004.12.025

2005

513

Fiber cones of ideals with almost minimal multiplicity

Jayanthan, A. V. and Verma, J. K.

Nagoya Math. J.

Volume: 177 Page: 155â€“179 DOI:10.1017/S0027763000009089

2005

514

Graded rings associated with contracted ideals

Conca, A. and De Negri, E. and Jayanthan, A. V. and Rossi, M. E.

J. Algebra

Volume: 284 Page: 593â€“626 DOI:10.1016/j.jalgebra.2004.08.038

2005

515

Nonsimilar solution of an unsteady mixed convection flow on a moving slender cylinder

Anilkumar, D. and Roy, S.

3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Page: 566-571

2005

516

Natural convection inside a square cavity heated from below and symmetrically cooled at both sides: Effects of various dirichlet boundary conditions at the bottom wall

Roy, S. and Basak, T.

Proceedings of the ASME Summer Heat Transfer Conference

Volume: 1 Page: 555-563 DOI:10.1115/HT2005-72353

2005

517

Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s)

Roy, S. and Basak, T.

International Journal of Engineering Science

Volume: 43 Page: 668-680 DOI:10.1016/j.ijengsci.2005.01.002

2005

518

A numerical case study on nonlinear methods induced by linear Krylov solvers

Sundar, S.

J. Indian Acad. Math.

Volume: 27 Page: 431-438

2005

519

A recursive packed algorithm for Cholesky factorization of tridiagonal and pentadiagonal matrix

Sundar, S.

J. Indian Acad. Math.

Volume: 27 Page: 193-200

2005

520

Hilbert coefficients and depths of form rings

Jayanthan, A. V. and Singh, Balwant and Verma, J. K.

Comm. Algebra

Volume: 32 Page: 1445â€“1452 DOI:10.1081/AGB-120028790

2004

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