“The joy of discovery is certainly the liveliest that the mind of man can ever feel”

My area of interest broadly lies in optimization, game theory, convex analysis, and matrix theory. In particular, I am interested in finding relations/connections among mathematical programming problems, complementarity problems, and non-cooperative games. This brightens the path of the interplay between optimization and game theory. I am also interested in studying the bi-linearity rank of specific convex(non-polyhedral) cones, cone preservers, and positive linear maps on different cones.

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Journal publications

• (with Hariprasad, M and Tanay, S), The row picture of least square and symmedian coordinates, Sadhana (To appear)

• (with A. Chandrashekaran), A characterization for self-duality of a proper cone, Positivity 27, 11 (2023) 

• (with A. Chandrashekaran), Linear complementarity problems and bi-linear games,  Applications of Mathematics 65, 665–675 (2020)

• (with A. Chandrashekaran), On Symmetric linear games, Linear Algebra and its Applications 562, 44-54 (2019).

Book Chapter

• (with A. Chandrashekaran), Linear games and complementarity problems, Game Theory and Networks: New perspectives and Directions, ISI series, Springer (ISBN 978-981-16-4736-9) (2021)

Preprints

• (with Anirban and K.S.M. Rao), A note on coupled constrained games (Under review)

• An observation on Copositive matrices (Manuscript under preparation)

• (with Hana) Some observations on the numerical range of special matrices (Manuscript under preparation)