Karana Gulati

Science stream: Physics, Chemistry, Mathematics and English.

Selected from about 30,000 applicants. Coursework in discrete mathematics.

Study of information asymmetry between institutional and retail participants in Indian derivatives markets, using 1,032 days of NSE participant-wise F&O data. Audited all 46 references against the primary sources after failing to answer basic questions about my own argument. Paused until I understand its statistics well enough to defend them.

Protection model for Etosha National Park under six simultaneous threats: an exponential survival-decay metric, a four-layer deployment of 198 staff and sensor networks, and a feasibility index, validated over 1,000 Monte Carlo runs and eight sensitivity scenarios.

Two weeks attacking the problem from every angle I could invent, with AI doing most of the work. It produced nothing, and taught me how much established mathematics sits behind a rule I had assumed was arbitrary.

Built on my own thesis about how institutional flow targets the price levels where retail stop-losses cluster. Ran live in a supervised family account until a volatility regime shift ended it. Retired after an independent review advised that strategies of its type rarely hold up.

Telegram bot that parsed my Obsidian notes, generated spaced repetition questions from them and scheduled its own reminders. Stopped once the question quality I could afford was no longer worth the running cost.

District under-17 and district team events. Second place in school inter-house matches.

Two-day camp at Shri Guru Harkrishan Sr. Sec. Public School, Ajnala. Guided patients, coordinated between teams, and ran hygiene awareness alongside the medical staff.

Photographer for an event for girls from underprivileged backgrounds.

Played the King in a school production of Hamlet.

Essays on Medium. Entrant, Queen's Commonwealth Essay Competition.