Hello Universe,
I'm Aaryan, a fourth-year undergrad majoring in math at Stanford University. I'm primarily interested in number theory, algebraic geometry, combinatorics, and whatever weird and wonderful ways they may overlap. 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 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 read and think a lot about computer science, physics, philosophy and creative fiction. Look around the site to see more. Contact me at aaryan11@stanford.edu.
Research
REU on Supersingular Diagonal Curves at SURIM 2023. Done in collaboration with MachaDom and RPCat.
(Ongoing) Honors Thesis on number-theoretic Langlands, supervised by Prof. Brian Conrad. Updated every week or so.
Exposition
- A presentation I gave on Seifert Surfaces with some neat transitions.
- Some notes on Kontsevichs' Conjecture, adapted from a course taught by Prof. Melody Chan.
- A Probabilistic Method crash-course; examples ranging from game theory to graph theory to Euclidean geometry.
Pedagogy and Outreach
- I've taught (and taken!) Math75SI at Stanford.
- I was a counselor at the PROMYS 2022 and head counselor at SUMaC 2024.
- I co-founded and named Cardinality, Stanford's first-ever undergrad math journal.
- Some texts I (and everyone should) 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
Selected Writings
- Unfolded: a short sci-fi story, probably the work I'm proudest of. Mentored and edited by the absolutely wonderful Scott Hutchins.
- 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.
- WhYuPenN: a joke essay I wrote out of frustration while in the depths of college applications. Sorry UPenn.
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.