Hello Universe,
I'm Aaryan, a coterminal masters student in math at Stanford University. I'm primarily interested in number theory, algebraic geometry, combinatorics, and whatever weird and wonderful ways they may overlap. Most recently I have been thinking/learning about height functions, Galois cohomology, and valuative spaces. In Dyson's Classification terms, I'd categorize myself as a flying frog.
I'm massively invested in mathematical pedagogy and have worked in a variety of teaching and mentorship roles. My goal is to pursue a PhD and eventually go on to become a professor, educator, writer and communicator of mathematics.
Apart from math I like reading and thinking about, physics, philosophy and fiction. Look around the site to see more. Contact me at aaryan11@stanford.edu.
Research
Supersingular Diagonal Curves and their Genera, an REU done at SURIM. Done in collaboration with MachaDom and RPCat.
Exposition
- (Very incomplete) Draft of a Big Book I've been working on (with Rawley Harrison) on expositing the necessary algebraic geometry background for Faltings' proof of the Mordell Conjecture, collating and refining existing literature. Updated every couple weeks or so.
My Bachelor's Honors Thesis on adelic analysis. At some (much later) point in the future will likely expand to a general exposition on automorphic forms.
Pedagogy and Outreach
- I've been a CA/TA for various math classes at Stanford, including Math 18, 19, 51, 52, 53 and 110. I was also a SUMO Tutor for 3 years.
- I've taught (and taken!) Math75SI at Stanford.
- I was a counselor at the PROMYS 2022 and head counselor at SUMaC 2024 and 2025.
- I co-founded and named Cardinality, Stanford's first-ever undergrad math journal.
- Some texts I (and everyone should) try to keep in mind in any educational context are Paulo Freire's Pedagogy of the Oppressed and bell hooks' Teaching to Transgress.
Some Art
- Some Drawings made with pencil on paper.
- Some digital art, made with either Procreate or Concepts.
- Some t-shirts I designed/painted
Some Writings
- Unfolded: probably the work I'm proudest of. Mentored and edited by the absolutely wonderful Scott Hutchins.
- My brother from Venus: a flash-fiction piece I wrote during my Masters.
- Colourless: my entry in a flash fiction competition, back when I attended a British-curriculum high-school (hence the spelling).
- Three Seconds: a short poem from the perspective of Mother Nature.
Computer Stuff
- This site, built in TypeScript with a Nextjs framework and Tailwind CSS.
- I've maintained and designed the SUMO Website for the past couple of years
Stanford Projects
Here's a bunch of (non-math!) work I've done in classes in my undergrad that I'm kinda proud of.- "Understanding Wild": a presentation (see PDF version, not recommended) on a research project on environmentalist depictions in Japanese vs Western video games. Nominated for the Lunsford Award for Oral Presentation of Research at Stanford.
- Conjunction and/or Disjunction in the Law: a joint presentation by me and my freshman-year roommate on the (mis)applications of linguistic norms in legal contexts.
- Auto-Immobile: basically a 20-page academic rant on America's heinous stroad problem and why it doesn't have to be that way. Another mini-academic rant on the same topic is here.
Some Dangerous Links
Definitely STAY AWAY from these horrid, illicit tutorials on tools that I'd NEVER use or recommend.