Vihan Patel

Mathematics · Writing · Projects

Student of mathematics, writer, and builder of things I wished existed.

Research Paper

"A Construction of a Curl-Free but Non-Conservative Vector Field on a Non-Simply Connected Subdomain of ℝn" — under review at the Rose-Hulman Undergraduate Mathematics Journal.

Thoughts Too Loud

My Medium publication, which I founded and run — 50+ writers, 350+ submissions, and 15K+ reads.

My Medium Profile

My personal Medium page — all of my writing in one place, including my Thoughts Too Loud pieces and earlier essays, with 948 followers to date.

John Locke Essay — High Commendation

My award-winning philosophy essay: "Should I be held responsible for what I believe?"

Olympiad Question Generator

A tool I built that generates practice olympiad-style math questions.

Crest Report

The full project report documenting the Olympiad Question Generator.

AP Math God

My YouTube channel with AP-level math tutorials and problem walkthroughs.

Pro Cuber XYZ

My first YouTube channel, with tutorials on how to solve the Rubik's cube.

My Mathematics Journey

9th Grade

  • ▹AP Statistics 5/5
  • ▹AP Precalculus 5/5

10th Grade

  • ▹AP Calculus AB 5/5
  • ▹RMO Qualifier (Regional Mathematical Olympiad)
  • ▹Purple Comet — 15th place team nationally

11th Grade

  • ▹AP Calculus BC 5/5
  • ▹Multiple olympiad participations — wins, setbacks, and a lot of learning
  • ▹Began my research paper

12th Grade

  • ▹Completed my research paper
  • ▹Mathematics IA and Extended Essay (EE) for the IB Diploma Programme

Beyond the Classroom

Advanced mathematics texts I have worked through on my own, beyond my coursework.

Topology

James R. Munkres

Point-set & algebraic topology

Div, Grad, Curl, and All That

H. M. Schey

Vector calculus

Contemporary Abstract Algebra

Joseph A. Gallian

Groups, rings & fields
What ties it together

How I Contribute

I noticed this only while reflecting for my college applications: whenever I learn something, I see what's missing for the people coming after me — and I build it. I expect that to continue wherever I go next.

I learn something ↓ I notice a gap ↓ I build it for others

  1. Learned

    To solve the cube from YouTube.

  2. Noticed

    It could be taught a clearer way.

  3. Built

    Tutorials for the cubing community.

Pro Cuber XYZ

  1. Learned

    AP Precalculus, in one of its first cohorts.

  2. Noticed

    There wasn't enough content yet.

  3. Built

    Videos for students learning it.

AP Math God

  1. Learned

    By competing in multiple olympiads.

  2. Noticed

    A shortage of fresh practice questions.

  3. Built

    A generator that creates new ones.

Olympiad Question Generator

  1. Learned

    To write, with no one to guide me.

  2. Noticed

    Peers needed that confidence too.

  3. Built

    A publication where peers write with confidence.

Thoughts Too Loud