CV

Researcher in Mathematics

Department of Mathematics, Universität Innsbruck

Employed as a member of the research staff funded by FWF P 35992-N during the course of my doctoral study.

PhD

Universität Innsbruck

Mathematics

• PhD study on the topic of Markov categories and their applications under the supervision of Dr. Tobias Fritz.

M.Sc.

Universität Regensburg

Mathematics

• Took courses in various fields of mathematics, focusing on category theory, homotopy theory, logic, and algebraic geometry.
• Completed a thesis on the topic of higher semiadditivity under the supervision of Dr. Denis‑Charles Cisinski.

BSc (Honours)

Chennai Mathematical Institute

Mathematics and Computer Science

• An undergraduate course in mathematics and computer science, with a wide foundation on algebra, analysis, algorithms, the theory of computation, and programming.
• Additional final year electives focusing on algebraic topology, algebraic geometry, logic, and type theory.

Empirical Measures and Strong Laws of Large Numbers in Categorical Probability

preprint

We axiomatize the notion of empirical measure in the context of categorical probability and prove a strong law of large numbers for it.

Hidden Markov Models and the Bayes Filter in Categorical Probability

preprint

We use Markov categories to develop generalizations of the theory of Markov chains and hidden Markov models in an abstract setting.

Partializations of Markov categories

Applied Category Theory 2025

Delivered a talk on a formulation of a category of partial stochastic maps particularly suitable for categorical probability.

Bayesian Filtering and Smoothing in Markov categories

Chennai Mathematical Institute Seminar

Delivered a talk on formulating Bayesian filtering, smoothing and associated algorithms in Markov categories.

Hidden Markov Models and the Bayes Filter in Categorical Probability

Applied Category Theory 2023

Delivered a talk on formulating hidden Markov models and Bayesian filtering in Markov categories.

CMI Medal of Excellence

Chennai Mathematical Institute

The CMI medal of excellence is awarded in recognition of outstanding performance in the National Undergraduate Programme in Mathematics and Computer Science.

ANU Future Research Talent Award

Australian National University

The FRT is a competitive and prestigious program that attracts the very best international students from high-quality Indian institutions and provides them exposure to ANU research in the Science, Health, Medicine and Computer Science disciplines.

SN Bose Scholars Program

SERB, DST, IUSSTF, WINStep Forward

The Science and Engineering Board, Department of Science and Technology, Govt. of India, the Indo-U.S. Science and Technology Forum and WINStep Forward have partnered to develop a student exchange program between premier institutions in India and the United States.

KVPY Fellowship

Department of Science and Technology, Govt. of India

The Kishore Vaigyanik Protsahan Yojana is a National Program of Fellowship in Basic Sciences, awarded by the Department of Science and Technology, Government of India.

Organiser

Náboj

Náboj is an international mathematical competition designed for teams of five high‑school students that represent their schools.

• Organising Náboj 2024 at the Universität Innsbruck.