Writing

Book on Rokomari

Written with Mursalin Habib, Rahul Saha and Atonu Roy Chowdhury, published in 2021. A book full of answers to common math questions like "Why isn't 1 a prime number?", "What does zero probability mean?" and the title's "What happens if you divide by zero?". My favorite contributions to the book was answering more psychological questions, like "Why are people who like math called autistic?" or "What do I do if I'm scared of math?".

Book on Rokomari

Written with M Ahsan Al Mahir and Saifur Rahman Tashki, published in 2020. We tried to answer "What happens in math camps?" by capturing six different math camp classes in print. The design of the book was quite experimental: each chapter includes tips on how to teach the topic, tangents to explore, questions to pause and ponder, and even several blank pages for you to scribble your own solutions.

Volume 1 on Rokomari | Volume 2 on Rokomari

Written with Tamzid Morshed Rubab and contributions from many others, published in 2019. The first volume introduces strategies for problem solving, while the second volume dives into details around the four subjects in contest mathematics (Algebra, Combinatorics, Geometry and Number Theory).

This book draws heavy inspiration from Paul Zeitz's The Art and Craft of Problem Solving. The book had to be prepared on a rushed timeline and the quality suffered as a result. Someday in the future I'd love to take what I've learned since then to write a second edition.

Volume 1 on Rokomari | Volume 2 on Rokomari

Written with Adib Hasan and Joydip Saha, published in 2019. Intended to be a comprehensive introduction to combinatorics, for both math contests and competitive programming.

• Rank Jumps of Abelian Varieties in Field Extensions
  • A literature review investigating the question: "When does the rank of an abelian variety jump upon base change to a field extension?"
  • Final project for MATH 581 E: Algebraic Points on Curves, with Bianca Viray.
• Isometric C^1 embedding of flat tori into R^3
  • The flat torus can't be smoothly embedded into 3D space in a way that preserves the metric. But in 1954 John Nash (of A Beautiful Mind fame) proved that you can preserve the metric with a continuous embedding. This paper discusses that theory.
  • You can also view the associated presentation slides.
  • Final Project for 18.994: Seminar in Geometry.
• Elliptic Curves over p-adic numbers.
  • An introduction to elliptic curves and their points over the p-adic numbers.
  • Final Project for 18.784: Seminar in Number Theory.

• Combinatorics Problem Set
  • Written with Thanic Nur Samin, Rahul Saha and Nayeemul Islam Swad.
  • A comprehensive problem set ranging from beginner problems to medium IMO Problems.
• Combinatorial Games Pset
  • A problem based introduction to combinatorial game theory for advanced campers.

• Star Child
  • A science fiction story with an interesting perspective.
  • Awarded the 2022 King Prize for Science Fiction Writing, 3rd place.
• Like Them
  • Science Fiction / Horror story about contact with a planet of humans stuck in children's body even as adults (called Axomen, cause they have neoteny like axolotls).
• High Stakes
  • Prequel to Like Them. Written from one of the axomen's perspective!
• Flameheart
  • Two chapters of my terrible attempt at a fantasy novel.
  • I'm proud of the action and perspective in the second chapter. But I found it hard to extend it into a first chapter that grabs people's attention.

• Letters Without Reply
  • An angsty short story about a failing relationship.
  • Any resemblance to persons living or dead is purely coincidental.
• Stories by the Shore
  • Short story written like a train of thought, exploring gender and coming of age.
• Fiery Rocks, Diary Locks
  • A story about a family's personal apocalypse.
  • The first two pages of this story is my best reviewed snippet of writing.
• The Mural
  • A short story about the messy expressions of grief.
• Sober
  • A tribute to Sober by Lorde. About fire spinning and cheating.