Projects & Papers
A showcase of my work in software development, AI research, and mathematics.
Papers
Recursive Market Intelligence through Multi-Machine Geometric Modeling
Madhav Dogra, 2025
This paper proposes a novel framework for predicting financial markets by modeling price as a projection on a learned non-linear surface defined by Time, Volatility, Sentiment, and Impact. The system uses multiple machines for sentiment extraction, geometric modeling, and forecasting.
Solving the Lonely Runner Conjecture via Equidistribution Theory
Madhav Dogra, 2025
This paper presents a framework for approaching the long-standing Lonely Runner Conjecture. Originating in Diophantine approximation, the conjecture posits that for any set of n runners on a unit circle with distinct speeds, each runner will, at some time, be "lonely".
PolarCrypt: A Post-Quantum Cryptosystem
Madhav Dogra, 2024
This paper introduces PolarCrypt, a novel cryptographic framework leveraging high-dimensional polar coordinates to create quantum-resistant security mechanisms. It provides robust encryption, key exchange, and digital signature capabilities with high computational efficiency.
Projects
Lcrypt (Ongoing project)
Madhav Dogra, 2025
Local encryption for files before you upload them to the cloud, addressing distrust and potential government-imposed backdoors.
Blink World
Madhav Dogra, 2024
A game that dynamically changes based on human blinking patterns, making it challenging as you must control your blinks in a strategic way.
Personal Portfolio Website
Madhav Dogra, 2024
My personal website and blog, built with Next.js and featuring a cosmic-themed, interactive design with Framer Motion animations.
Interested in Collaboration?
I'm always open to discussing new opportunities and innovative projects.