pranay
Proofs, questions & occasional breakthroughs

Mathematics & Research

I enjoy mathematics most when an unfamiliar problem forces me to think differently.
Illustrative number theory notebook

Ross Mathematics Program

Summer 2026 · Terre Haute, Indiana

I spent six weeks at Ross exploring proof-based mathematics, particularly number theory, Gaussian integers, and algebraic structures.

Beyond the mathematics, Ross taught me the value of asking questions, sharing unfinished ideas, and learning alongside people who are just as excited by a difficult proof as I am.

Quantitative Finance Research

Indian Institute of Management Bangalore · 2025–2026
Research mentor: Professor Anand Deo

How should an investor respond when markets become increasingly unpredictable?

My research explores dynamic asset allocation strategies in Indian equity markets, combining momentum, volatility, and measures of downside risk to evaluate investment decisions under changing market conditions.

I've also investigated how persistent market regimes and extreme losses affect the feasibility of investment strategies.

Areas: Mathematical finance, risk modelling, portfolio optimisation, time-series analysis.

A few mathematical milestones

  • British Mathematical Olympiad: Round 1 Distinction, Round 2 qualifier and Merit.
  • Stanford Math Tournament: Distinguished Honorable Mention in Algebra and Honorable Mention in Discrete Mathematics.
  • Waterloo Pascal Contest: Distinction.