Hi! 👋 I'm

Aayush Mitra

Undergrad @ Princeton University

🌎From Edinburg, Texas

My studies are concentrated on Mathematics & Computer Science. I have experience in Mathematical Modeling, Data Science, and Full Stack Web Development alongside coursework in Mathematical Analysis and Systems Programming.

My interests lie at the intersection of mathematical theory, scientific computing, and low-level systems.
Aayush Mitra

Experiences

DRPs, research, and teaching work.

Spring 2026

Directed Reading Program in Curve Shortening Flow

Princeton University DRP ·

Studied theory behind Curve Shortening Flow, a geometric process described by a nonlinear parabolic PDE. Discussed questions of existence, uniqueness, monotonicity, and convergence of shape.

[Notes Used]
Directed ReadingMathematical AnalysisParabolic Nonlinear PDE

Fall 2025

Directed Reading Program in Nonlinear Wave Equations

Princeton University DRP ·

Studied theory of Nonlinear Wave Equations, including use of energy estimates and questions of local and global existence and regularity.

[Notes Used]
Directed ReadingMathematical AnalysisHyperbolic Nonlinear PDE

Summers 2024, 2025

Mathematical Modeling For Alzheimer's Disease (NSF REU)

The University of Texas Rio Grande Valley · Research Assistant

Developed PDE models to study the kinetics of the critical protein Amyloid Beta in Alzheimer's Disease. Implemented Finite Difference Methods and used Asymptotic Analysis to achieve numerical and analytical results. Presented work at the American Mathematical Society San Antonio Meeting.

[AMS Presentation]
ResearchMathematical ModelingPythonNumpyScipyAsymptotics

June 2023 - May 2024

Analysis of Psychiatric Data (High Scholars Program)

The University of Texas Rio Grande Valley · Research Assistant

Performed statistical and computational analyses on the Mental Health Client Level Dataset from SAMHSA. Used Python to aggregate and visualize data and implement models.

ResearchStatisticsData ScienceLinear AlgebraPythonNumpy

June 2024 - June 2025

Mathematics Instructor

Mathnasium Sharyland · Instructor

Tutored students in grades K-12 across topics ranging from basic arithmetic to SAT/ACT Math preparation.

Tutoring

Current Interests

  • Steady Water Waves & Nonlinear Elliptic PDEs
  • Database Systems & Architecture
  • Neural ODEs & Scientific Machine Learning
  • Probability Theory & Stochastic Processes

Projects

EcoSnap

October 2025

Mobile-oriented full-stack app that functions as an AI-powered recycling assistant using Gemini Vision. Gamifies the recycling process and allows for more informed recycling. Submitted as part of HackPrinceton Fall 2025.

NextExpressTailwindGemini VisionMongoDB
View

Reaction Estimation through Computational Training (REACT)

March 2025

Built a Physics-Informed Neural Network that predicts kinetics for enzyme-catalyzed reactions given substrate names.

PythonPyTorchNumpy

DreamHaven

January 2025

Full-Stack web app that functions as a "journal" for dreams. Levereges Gemini API to analyze and interpret dreams. Won Congressional App Challenge in TX-34.

NextPythonFlaskGemini APIMongoDB
View

The Carbon Cache

November 2024

Constructed a system of ODEs modeling the cumulative effects of high-powered computing over time on CO2 emissions. Submitted in High School International Competition for Modeling; Top team from Texas.

PythonScipy

Toolkit

Languages

Python
Java
C
C++
HTML
CSS
JavaScript
TypeScript
SQL
R

Libraries/Frameworks

Numpy
Pandas
Plotly
Matplotlib
Scipy
PyTorch
Flask
Next
Express
React
Tailwind

Tools/Other

Git
Figma
Bash
LaTeX
Revit
Fusion

See what I'm up to.

Blog