Rachana Madhukara

I am a senior at MIT, studying Mathematics and Electrical Engineering and Computer Science. I am interested in combinatorics and its applications to theoretical computer science, for example in Information Theory. I am fortunate to be advised by Prof. Henry Cohn.

Outside of academics, I enjoy typesetting with LaTeX and having thoughtful discussions with people! Please feel free to drop me a line anytime.

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I have published in number theory, combinatorics, and computational geometry. Following convention in mathematics and theoretical computer science, authors are listed in alphabetical order.

Permutoric Promotion: Gliding Globs, Sliding Stones, and Colliding Coins
Colin Defant, Rachana Madhukara, Hugh Thomas
In preparation, 2022
Adjacency and Broadcast Dimension of Grid and Directed Graphs
Rachana Madhukara
Submitted to Discrete Applied Mathematics, 2022
Orthogonal Fold & Cut
Joshua Ani, Josh Brunner, Erik D. Demaine, Martin L. Demaine, Dylan Hendrickson, Victor Luo, Rachana Madhukara
To appear in the Thai Journal of Mathematics, 2022
Edge-Unfolding Prismatoids: Tall or Rectangular Base
Vincent Bian, Erik D. Demaine, Rachana Madhukara
Presented at the Canadian Conference on Computational Geometry, 2021
Video of presentation
Fourier Coefficients of Level 1 Hecke Eigenforms
Mitsuki Hanada, Rachana Madhukara
Acta Arithmetica, 2021
Outreach and Teaching

Teaching and mentoring are very important to me. Here are a few of the organizations I have been involved with.

I am a mentor for the MIT PRIMES Circle. I have taught graph theory for the past two years.
I was a research mentor for the Research Science Institute (RSI) during the summer of 2022. I supervised a project in number theory.
I was a teaching assistant at Euler Circle. I have assisted in the Real Analysis, Abstract Algebra classes, and Proofs from the BOOK classes.
I am the president of MIT's Undergraduate Society of Women in Mathematics (USWIM).
I am one of the founders of the Virtual San Diego Math Circle, or vSDMC. We created a virtual math circle experience for students in the Greater San Diego area in the midst of the COVID-19 pandemic. We also organized the Virtual San Diego Math League, or vSDML, in the fall of 2020.
One of my favorite things to do is hiking! My goal is to hike all 48 of the 4000ft (or taller) mountains in New Hampshire. Here's my progress.
My favorite class at MIT is How to Make (Almost) Anything. See here for what I made during the class!
I enjoy baking and cooking as a way to de-stress! Please see here for my favorite recipes and pictures of what I have made.
One of my hobbies is art. I am interested in various mediums of art, including origami and painting. Additionally, I was an artist for the 2023 Brass Rat.
I have been learning Carnatic music for 15+ years and fencing casually for the past couple years. I fence foil and although I am definitely partial, I must say that foil is the best weapon!

Based on this website
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