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Sushovan Majhi

I knew you would visit my homepage one day! The site showcases my research and software projects, ocassional tutorials, sporadic rants, and more. From time to time, I get intrigued by different topics in math, coding, data science, software, history, politics, music, and subjects that no one else on Earth would care about. As soon as I start to dig in and things suddenly get little beyond my apprehension, posting here helps me wrap my head around it. This collection—if nothing else—helps me now to organize my thoughts, and would help me one day realize how I wasted my days!

As the odds of landing on my site at random are one in 1.8 billion (see), you are probably looking for something, and Google just got too generous. Nonetheless, feel free to browse, find mistakes, and leave your valuable comments.

Here is a quick link to my résumé. The best way to say hi is to email me at smajhi@berkeley.edu or sush@smajhi.com

| Where to Find Me
| Research

My research primarily revolves around the interface of mathematics and computer science. More specifically, my research is motivated by theoretical problems arising in topological data analysis (TDA), computational and applied algebraic topology, and computational geometry. I am also interested to solve real-life problems using tools from algebraic topology and geometry. My research interest also extends to applying TDA to other fields of science and developing computational libraries and software.

| Teaching

Download my teaching statement here. List of some of the courses I taught:

| Talks and Presentations

I had been a big fan of Beamer for quite some time. Who wouldn't be when it comes to presenting slides full of math symbols? Although the math looked fancy and the audience was happy, the $\LaTeX$-based framework had also disappointed me quite often. I found the framework too restrictive to customize; my slides looked exactly like others'!

Features, that were lacking in Beamer during the time I broke up with it, were shining in RevealJS. Since then, I have been using it, customizing it, and relishing it.

List of my talks and presentations:

Shape Comparison and Gromov-Hausdorff Distance
Tulane University | January 21, 2020

The Gromov-Hausdorff distance between any two metric spaces was first introduced by M. Gromov in the context of Riemannian manifolds. This distance measure has recently received an increasing attention from researchers in the field of topological data analysis. In applications, shapes are modeled as abstract metric spaces, and the Gromov-Hausdorff distance has been shown to provide a robust and natural framework for shape comparison. In this talk, we will introduce the notion and address the difficulties in computing the distance between two Euclidean point-clouds. In the light of our recent findings, we will also describe an O(n log n)-time approximation algorithm for Gromov-Hausdorff distance on the real line with an approximation factor of $5/4$.
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Shape Reconstruction
Tulane University | August 08, 2019

Most of the modern technologies at our service rely on 'shapes' in some way or other. Be it the Google Maps showing you the fastest route to your destination eluding a crash or the 3D printer on your desk creating an exact replica of a relic; shapes are being repeatedly sampled, reconstructed, and compared by intelligent machines. With the advent of modern sampling technologies, shape reconstruction and comparison techniques have matured profoundly over the last decade.
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Computational Complexity
Graduate Colloquium, Tulane University | April 16, 2016

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The Mathematical Mechanic
Graduate Colloquium, Tulane University | September 08, 2015

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Music, Machine, and Mathematics
Tulane University | March 24, 2015

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| Software and Computing

I am a coding hobbyist. I enjoy solving online coding challenges. Although Java is my favorite programming language, I also code in JavaScript, Ruby. I develop softwares both for academia and industry. Some of them are listed here.

Avimukh.com

Avimukh is a Bengali website for poets, writers, and bloggers. I designed its backend in Ruby on Rails framework. The web-app is hosted on Heroku.

ShapeReconstruction

To complement my research, I implemented my topological reconstruction algorithm for planar metric graphs in this library. The library is written in JavaScript and made available to users as a ...

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