AREAS OF RESEARCH

Infinite Linear Programming, Generalized Inverses of Operators over Hilbert Spaces, Nonnegative Generalized Inverses,

Generalizations of Matrix Monotonicity, Linear Complementarity Problems, Generalized Inverses of Matrices over

Indefinite Inner Product Spaces.

EDUCATION:

Ph.D. (Functional Analysis) Indian Institute of Technology, Madras, 1995.

Thesis Title:Interval Linear Programs in Infinite Dimensional Spaces

M.Sc., (Mathematics) Indian Institute of Technology, Madras, 1989.

Project Title: Ordered Vector Spaces

B.Sc., (Mathematics) Madras University, 1987.

EMPLOYMENT:

Lecturer

School of Mathematics

Anna University, Chennai

20.12.1995 to 05.05.2003

Assistant Professor

Department of Mathematics

Indian Institute of Technology, Madras

07.05.2003 to 24.03.2009

Associate Professor

Department of Mathematics

Indian Institute of Technology, Madras

24.03.2009 to 13.07.2013

Professor

Department of Mathematics

Indian Institute of Technology, Madras

13.07.2013

THESIS SUPERVISION

Sachindranath Jayaraman, "Weak monotonicity and nonnegative generalized inverses", May 2008. Assistant Professor, School of Mathematics, IISER - Thiruvananthapuram.

Kurmayya Tamminana, "Nonnegative Moore-Penrose inverses of operators between Hilbert spaces", July 2008. Assistant Professor, Department of Mathematics, NIT Warangal.

Debasisha Mishra, "Least elements, matrix splittings and nonnegative generalized inverses", May 2012. Assistant Professor, Department of Mathematics, NIT Raipur.

Rajesh Kannan, "Some topics in generalized inverse nonnegativity and intervals of matrices", July 2013. Post Doctoral Fellow, Department of Mathematics, Israel Institute of Technology, Technion, Haifa, Israel.

Shani Jose, "Moore-Penrose inverses of sums, sub-direct sums and applications", July 2013.

TEACHING INTERESTS

NPTEL COURSE ON LINEAR ALGEBRA

B.Tech:

Calculus I- Functions of a Single Variable

Calculus II- Functions of Several Variables

Ordinary Differential Equations

Complex Variables and Transform Techniques

Linear Algebra and Numerical Analysis

Linear Algebra and Optimization

Discrete Mathematics

Numerical Analysis

M.Sc. Mathematics:

Linear Algebra

Multivariate Calculus and Transform Techniques

Real Analysis

Measure and Integration

Topology

Functional Analysis

Operator Theory

Applied Linear Algebra

Generalized Inverses and Applications

M.Sc. Computer Science, M.Sc. Integrated (Comp. Sci. & Inf. Tech.):

Combinatorics and Graph Theory

Formal Languages and Automata Theory

Digital Systems (Theory & Lab)

Introduced the following courses at the M.Sc. Level:

Generalized Inverses and Applications (at Anna University)

Applied Linear Algebra (at IIT Madras)

REFEREEING /REVIEWING

Reviewer:

Mathematical Reviews

Zentralblatt Math

Referee:

Linear Algebra and its Applications

Linear and Multilinear Algebra

Electronic Journal of Linear Algebra

Banach Journal of mathematical Analysis

Journal of Computational and Applied Mathematics

Mathematicki Vesnik

Mathematics of Computation

Publicationes Mathematicae Debrecen