Vishal Shah

Introduction

I am a Computer Science and Math student at UMD. My CS interests include algorthims, data science, low level programming and ML/LLM/AI. My mathmatical interests are in combinatorics, linear algebra and number theory.

Research

Zeros of Ramanujan-Like Polynomials - In this paper we studied a naturally occurring variant of Ramanujan polynomials with a Bernoulli convolution structure, Sv, related to the double Mordell-Tornheim series. In particular, we proved for even v all zeros of Sv lie on the complex unit circle, and for even v≥4 they are simple with the exception of roots at 1,−1, which are double roots.

Projects

FRC Data Analysis - Analyzing the presence or absence of bias with in FRC robotics competitions.

Desktop Graphing Calculator - IN PROGRESS! Building a desktop graphing calculator. Integrates Sympy's computer algebra systems. Implements numerical graphing and function evaluation in C.

SPLATT - Ironsite@UMD Hackaton Honorable Mention - Built a 4D gaussian splat model generator that takes in videos from multiple perspectives to generate a 4D (3 spacial and 1 time dimensions) model of the scene. Aided a RAG based LLM, to semantic search across multiple video feeds for key details.

FizzBuzz - AI Berkeley Hackaton Best Hack for Berkeley Students - Ever had an annoying roommate that always wins arguments? While we cant fix annoying, you can win arguments by using FizzBuzz: a roommate confrontation simulator. FizzBuzz is a comedical way to practice conversations and promote healthy communications habits.