Research Focus
Our research is centered on the profound structures of modern mathematics, with a core emphasis on Operator Algebras, Noncommutative Geometry, and Harmonic Analysis. We investigate fundamental questions at the intersection of functional analysis and algebraic theory.
Research Specializations
Our faculty members lead investigations into the structural and functional properties of mathematical spaces.
Operator Algebras & Noncommutative Geometry
Investigations into the classification and structure of $C^*$-algebras and von Neumann algebras. Key areas include subfactor theory, intermediate planar algebras, and the study of KMS states on algebraic structures. Our work also explores the connections between operator algebras and Quantum Information Theory.
Harmonic Analysis & Geometric Inequalities
Study of fundamental geometric and functional inequalities, including Hardy-Littlewood-Sobolev, Hardy, and Stein-Weiss types. We focus on these inequalities in the context of Dunkl operators, fractional calculus, and analysis on the upper half space.
Recent Output
Featured Publications
Higher reflections and entropy of canonical shifts for inclusions of $C^*$-algebras with finite Watatani index
Bakshi, Guin, Pal, Sruthymurali (2026)
KMS states on $C_c^*(\mathbb{N}^2)$
Arjunan, Sruthymurali, Sundar (2023)