Kaushik Kalyanaraman is an Applied and Computational Mathematician. His broad research interests lie in the applications and discretizations of analysis, geometry, and topology. More concretely, his work focuses on structure-preserving and compatible discretizations of partial differential equations, particularly, Maxwell’s equations; in discretizations of calculus on manifolds, particularly, discrete exterior calculus; on applications of differential geometry and algebraic topology to problems in computer graphics and algorithms for machine learning; and, in recent years, on explorations in optimal transport, optimization on manifolds, and Bayesian persuasion.

His teaching interests span the algorithmic, computational, and theoretical aspects of analysis, geometry, and topology, exemplified by, but not limited to, courses at IIIT-Delhi such as Scientific Computing, Numerical Solution of Partial Differential Equations, Calculus in R^n with Applications, Differential Geometry, Advanced Linear Algebra, and Real Analysis in Metric Spaces. He also maintains a learning side interest in the philosophies of computing, mathematics, and science.

Kaushik received a B.E. in Electrical and Electronics Engineering from Anna University, Chennai (2005), an M.Tech. in Electrical Engineering from the Indian Institute of Technology, Bombay (2008), and a Ph.D. in Computer Science from the University of Illinois at Urbana–Champaign (2015). He previously served as a member of technical staff at Computational Research Laboratories, Pune, India (2008–2009), and as a postdoctoral fellow at the Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, New York (2015–2017). At IIIT-Delhi, he served as the Head of the Department of Mathematics from April 2022 to December 2025.