This 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 |