Research

I'm working with Prof. Vincent Robin on the free-will theorem of Conway and Kochen — in particular, an alternative proof of their geometric lemma using rotations of the cube and group actions on Peres directions. In progress, April 2026.

In parallel, I run directed reading projects at AMMOC with Yaashaa Golovanov, and shorter problem sets on my own.

Reading

Vector Calculus & Differential Geometry, O'Neill — DRP in progress, with notes on Overleaf.
Elementary Real & Complex Analysis, Shilov — reading through, problem sets attached.
Linear Algebra, Kowalski (ETH Zürich notes).
Selected problems in topology, measure theory, and p-adic numbers.

Past

Summer 2025: a one-month research internship at the Applied Mathematics Laboratory of the University of Technology of Compiègne (LMAC), under Prof. El Hajj and Prof. Robin. I worked alongside PhD students on partial differential equations modelling dislocation dynamics in metallic alloys — Sobolev spaces, complex boundary conditions, non-local eikonal equations, and MATLAB simulations connecting microscopic defect propagation to macroscopic material stability.

Alongside the internship I followed university courses in Multivariable Calculus, Projective Geometry, and Elliptic Curves, with weekly problem sheets. I also picked up the basics of mechanical engineering, drone-building, and 3D modelling alongside exchange students from UT Austin.

I wrote an internship review afterwards — available here.

Writing

I write up mathematics when I want to understand it properly. Some of what's out:

40+ published solutions in Math Reflections, including several undergraduate-level problems.
Published solutions in Crux Mathematicorum (Canadian Mathematical Society).
A 50-page algebra handout at AIME level, written in English, used in my AMMOC classes — read here.
Notes on set theory from AMMOC.
A solution to a Parimaths problem on the Dirichlet function — here.

Physics

I read physics for pleasure, not for rigour. Worked-problem notes in harmonic oscillators, electrokinematics, quantum physics, and celestial mechanics — available on request.