This workshop took place on Sunday, February 15th, 2026, at the Lodha Mathematical Sciences Institute, Mumbai, India. Thank you to all the students who participated. Special thanks to Vinay Nair for his willingness to make this happen.
YouTube short Instagram reelThis is the webpage for the one-day course in number theory at the Lodha Mathematical Sciences Institute in Mumbai.
Session 1
The Congruent Number Problem
Barinder S. BanwaitA leisurely stroll through the world of Pythagorean triples, the congruent number problem, and culminating in a basic introduction to elliptic curves.
Problem sheet
Session 2
Solving Polynomial Equations Modulo a Prime
Andrew O'DeskyAn introduction to modular arithmetic and polynomials over finite fields.
Problem sheet📅 Tentative Schedule
| ☀️ 9:00 AM | Arrival |
| 👋 9:30 AM | Informal address with students and parents |
| 📐 9:45 AM | Session 1 — First half |
| ☕ 11:00 AM | Break |
| 📐 11:20 AM | Session 1 — Second half |
| 🍽️ 12:50 PM | Lunch |
| 🔢 2:00 PM | Session 2 — Lecture + Problem session |
| 🍵 4:30 PM | Tea break |
| 💬 5:00–5:45 PM | Q&A and panel discussion |