Research profile
I am a PhD student under the supervision of Prof. Alan Rendall at the Institute of Mathematics, Johannes Gutenberg University Mainz. My research focuses on the early stages of T cell activation, particularly the interaction between T cell receptors (TCRs) and pathogen-derived peptides presented by MHC molecules.
Using mathematical analysis, numerical simulations, and principles from chemistry, I investigate how key parameters influence the dynamics of TCR–pMHC binding. Our goal is to develop and analyze models that capture essential immunological features such as sensitivity, specificity, optimal response, and antigen discrimination.
Additionally, I explore the mechanochemistry of these interactions—how mechanical forces and molecular binding energetics affect downstream immune signaling. My work spans the interface of mathematics, immunology, and biophysics, aiming to provide mechanistic insights into adaptive immune recognition.
Biography
Positions held
Since 2023
PhD Student, Institute of Mathematics, JGU Mainz
Education
2019 - 2022
M.Sc. and B.Ed. in Mathematics, Central University of Rajasthan, India (2019–2022)
2015 - 2018
B.Sc. (General Science), University of Kashmir, India