Karana Gulati
I work on maths and modelling. This site includes what did not work.
I am in Class 12 at Spring Dale Senior School in Amritsar. Most of my time goes on mathematical modelling, quantitative research and building small tools. Earlier this year I spent months on a research project, then found I could not stand behind it and went back through every source in it one at a time. That project is the first thing on this site.
Start here
Three projects, including one I had to take apart and check line by line.
Sole author · March to May 2026
Three months on a study of information asymmetry in Indian derivatives markets. I audited all 46 references against the primary sources after finding I could not defend the paper. It is paused until I understand its statistics well enough to defend those too.
Ongoing
Team leader · 2026
Our team's entry to the International Mathematical Modelling Challenge, which took an Honourable Mention at the international round. Etosha faces six threats at once across 22,935 square kilometres with 295 staff. We built a protection metric, a deployment plan and a feasibility score, then simulated five years a thousand times.
Complete
Concept, then verification · February to May 2026
A crypto trading bot built around my own idea about how institutions move price into the places where retail traders keep their stops. The research, the backtesting and the code were done with AI. Working out whether any of it was true is where I actually learned something.
Stopped
All work →
Recognition
- Honourable Mention, International Mathematical Modelling Challenge, as team leader
- Lodha Genius Programme, selected from about 30,000 applicants; studied discrete mathematics
- National Finance Olympiad (India), qualified for the national round
- SOF International Cyber Olympiad, International Rank 163
- Chess, qualified for state level from the district under-17 competition