A warm welcome to my homepage!

I am a Postdoctoral Researcher in the Department of Mathematics at  University of Central Florida (UCF), USA. I completed my Ph.D. in Mathematics from IISER Thiruvananthapuram, where my research focused on harmonic analysis and frame theory, with particular emphasis on optimal dual frames and robustness under erasures.

My current research interests include frame theory, optimal and alternate dual frames, $K$-frames, probabilistic and burst erasures, and spectral and operator-theoretic methods motivated by signal processing. I am also interested in the existence and structural properties of equiangular tight frames, the analysis of Gram matrices associated with frames, and their role in stability and reconstruction problems.

Beyond pure mathematics, I actively explore interdisciplinary connections between mathematics and visual art. My artistic practice is inspired by mathematical structures such as symmetry, Fibonacci sequences, geometric decompositions, and fractal patterns. Through painting and visual composition, I seek to translate abstract mathematical ideas into intuitive visual forms, fostering a dialogue between analytical reasoning and creative expression.

Professional Experience 

• Postdoctoral Researcher, Department of Mathematics, University of Central Florida, USA (2024–Present)

• Visiting Scientist at Stat-Math Unit,  ISI-Bangalore, India (February 2024 – May 2024)

Education

• MS + Ph.D. in Mathematics, Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, India, 2024 .

• B.Sc. in Mathematics,Midnapore college, India.