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
261	Visualization of heat transport during natural convection within porous triangular cavities via heatline approach	Basak, T. and Roy, S. and Ramakrishna, D. and Pop, I.	Numerical Heat Transfer; Part A: Applications Volume: 57 Page: 431-452 DOI:10.1080/10407780903507866	2010
262	$L^p$-multipliers for the Hilbert space valued functions on the Heisenberg group	Swain, Jitendriya and Ramakrishnan, Radha	Monatsh. Math. Volume: 160 Page: 95-107 DOI:10.1007/s00605-009-0132-0	2010
263	Fourier multipliers for Sobolev spaces on the Heisenberg group	Jitendriya, S. and Radha, R. and Naidu, D. Venku	Anal. Math. Volume: 36 Page: 51-70 DOI:10.1007/s10476-010-0103-7	2010
264	A formula for the optimal cost in the general discrete-time LEQG problem	Shaiju, A. J. and Petersen, I. R.	Automatica J. IFAC Volume: 45 Page: 2419-2426 DOI:10.1016/j.automatica.2009.06.029	2009
265	Evolutionarily robust strategies: two nontrivial examples and a theorem	Shaiju, A. J. and Bernhard, Pierre	Volume: 10 Page: 377-395	2009
266	Construction of approximate saddle-point strategies for differential games in a Hilbert space	Ramaswamy, M. and Shaiju, A. J.	J. Optim. Theory Appl. Volume: 141 Page: 349-370 DOI:10.1007/s10957-008-9478-z	2009
267	Compound negative binomial approximation to sums of random variables	P Vellaisamy and N S Upadhye	Probability and Mathematical Statistics Volume: 29 Page: 205	2009
268	On $k$-intersection edge colourings	Muthu, Rahul and Narayanan, N. and Subramanian, C. R.	Discuss. Math. Graph Theory Volume: 29 Page: 411-418 DOI:10.7151/dmgt.1456	2009
269	Eigenvalue problems with weights in Lorentz spaces	Anoop, T. V. and Lucia, Marcello and Ramaswamy, Mythily	Calc. Var. Partial Differential Equations Volume: 36 Page: 355-376 DOI:10.1007/s00526-009-0232-7	2009
270	On the sums of compound negative binomial and gamma random variables	Vellaisamy, P. and Upadhye, N.S.	Journal of Applied Probability Volume: 46 Page: 272-283 DOI:10.1239/jap/1238592129	2009

Title

Authors

Journal

Year

261

Visualization of heat transport during natural convection within porous triangular cavities via heatline approach

Basak, T. and Roy, S. and Ramakrishna, D. and Pop, I.

Numerical Heat Transfer; Part A: Applications

Volume: 57 Page: 431-452 DOI:10.1080/10407780903507866

2010

262

$L^p$-multipliers for the Hilbert space valued functions on the Heisenberg group

Swain, Jitendriya and Ramakrishnan, Radha

Monatsh. Math.

Volume: 160 Page: 95-107 DOI:10.1007/s00605-009-0132-0

2010

263

Fourier multipliers for Sobolev spaces on the Heisenberg group

Jitendriya, S. and Radha, R. and Naidu, D. Venku

Anal. Math.

Volume: 36 Page: 51-70 DOI:10.1007/s10476-010-0103-7

2010

264

A formula for the optimal cost in the general discrete-time LEQG problem

Shaiju, A. J. and Petersen, I. R.

Automatica J. IFAC

Volume: 45 Page: 2419-2426 DOI:10.1016/j.automatica.2009.06.029

2009

265

Evolutionarily robust strategies: two nontrivial examples and a theorem

Shaiju, A. J. and Bernhard, Pierre

Volume: 10 Page: 377-395

2009

266

Construction of approximate saddle-point strategies for differential games in a Hilbert space

Ramaswamy, M. and Shaiju, A. J.

J. Optim. Theory Appl.

Volume: 141 Page: 349-370 DOI:10.1007/s10957-008-9478-z

2009

267

Compound negative binomial approximation to sums of random variables

P Vellaisamy and N S Upadhye

Probability and Mathematical Statistics

Volume: 29 Page: 205

2009

268

On $k$-intersection edge colourings

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

Discuss. Math. Graph Theory

Volume: 29 Page: 411-418 DOI:10.7151/dmgt.1456

2009

269

Eigenvalue problems with weights in Lorentz spaces

Anoop, T. V. and Lucia, Marcello and Ramaswamy, Mythily

Calc. Var. Partial Differential Equations

Volume: 36 Page: 355-376 DOI:10.1007/s00526-009-0232-7

2009

270

On the sums of compound negative binomial and gamma random variables

Vellaisamy, P. and Upadhye, N.S.

Journal of Applied Probability

Volume: 46 Page: 272-283 DOI:10.1239/jap/1238592129

2009

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