Research
I research the mathematics of number theory and the trustworthiness of AI systems. My work ranges from studying arithmetic function trees to publishing papers on reducing LLM hallucinations, with recognition from programs like PROMYS and CREST Gold.
Research and Projects
LLM Hallucination Reduction
Investigated ways to mitigate hallucinations in large language models by developing a graph theoretic framework. This paper earned an invitation to present at the 3rd International Conference on AI, where I was the only high school speaker in a pool of accomplished presenters from 13 countries. Published in book series "Computing and Intelligent Systems".
Snap2Action
The inspiration for Snap2Action came from the desire to create a simple yet impactful solution for everyday problems in our neighborhoods. It won the Hack For Humanity award.
Arithmetic Function Trees
A novel way of visualizing number theoretic relationships. Devised a function ξ(x), seven new theorems and a new algorithm that improves time complexity from O(n^2) to O(n log n). Paper under review at Rose-Hulman Journal of Mathematics and won at IISc Pravega - India's premier undergraduate science fair
SwiftPatch
A civic-tech tool piloted with NGOs and RWAs to crowdsource reporting of infrastructure hazards. Along the way, it highlighted challenges in language localization while achieving real-world fixes.
Smarties Sandwiches
Solved and proved the unsolved “Smarties Sandwiches” problem using combinatorics. Published in Pi in the Sky Journal. The work highlights how simple setups can reveal deeper mathematical strategies
Viral Propensity Modeling
Designed a mathematical model to understand factors affecting tweet virality. Submitted to high school journal under review, the work connects probability with real-world patterns of virality and predicts how likely a tweet will go viral.
PROMYS Fibonacci/Lucas expository
Co-authored an expository article during PROMYS exploring the interplay between Fibonacci and Lucas sequences. The work emphasizes elegant patterns arising in recursive mathematics.
Euler Circle Van der Waerden Expository
Produced an expository on Van der Waerden’s theorem for Euler Circle, showcasing the balance between order and randomness in combinatorial structures.
Algorithmic Art Research
Developed a hybrid chaotic system that mathematically combines the Lorenz, Ikeda, and Hénon attractors into a single continuous vector field, enabling smooth transitions and new attractor geometries. I also introduced AI-driven methods to dynamically modulate these hybrids for generative art creation.