Fields Academy Shared Graduate Course: Galois Cohomology with Applications to Number Theory
Description
Registration Deadline: September 22nd, 2025
Instructor: Professor Kumar Murty, University of Toronto
Course Date: September 9th - November 27th, 2025
Mid-Semester Break: October 27th - 31st, 2025
Lecture Time: Tuesdays, 9:00 AM - 11:00 AM | Thursdays, 9:00 AM - 10:00 AM (ET)
Office Hours: TBA
Registration Fee:
- Students from our Principal Sponsoring & Affiliate Universities: Free
- Other Students: CAD$500
Capacity Limit: N/A
Format: Online via Zoom
Course Description
We will introduce Galois cohomology, develop its basic properties, and show how it can be used in several important areas of number theory including class field theory, Iwasawa theory, Stark's conjectures and the inverse problem of Galois theory. No prior knowledge of cohomology is required as we will develop the theory from scratch. However, graduate algebra and number theory will be useful.
Evaluation: Attendance
Registered Participants
| Name | Affiliation |
|---|---|
| Ali Akçay | University of Toronto |
| Omer Avci | University of Ottawa |
| Morta Baky Haskuee | York University |
| Zhengheng Bao | University of Toronto |
| Khalil Besrour | University of Ottawa |
| Jonathan Cater | University of Toronto |
| John Chakkour | University of Toronto |
| Joe Choi | Western University |
| Carissa Cho-Lee | University of Toronto |
| Nathanael Chwojko-Srawley | University of Toronto |
| Martin C. A. Cigarroa Urrutia | Queen's University |
| Rishit Dagli | University of Toronto |
| Agustín D'Alessandro | University of Regina |
| Jack DeSerrano | University of Toronto |
| Nic Fellini | Queen's University |
| Rui Feng | York University |
| Justin Fus | University of Waterloo |
| William Gao | University of Toronto |
| Wissam Ghoudi | Queen's University |
| Maggie Ha | University of Houston |
| Sam Hillis | University of Saskatchewan |
| Bennett Hon | University of Ottawa |
| Fahad Hossaini | University of Toronto |
| Zahra Janbazi | University of Toronto |
| Abdul Khan | University of Waterloo |
| Ahmad Khan | Wilfrid Laurier University |
| Sajeel Khan | University of Toronto |
| Timofey Knyazhevskiy | Queen's University |
| Amir Koutahi | University of Toronto |
| Debanjana Kundu | University of Regina |
| Zuozheng Lyu | University of Waterloo |
| Mukhammadrizo Madjidov | University of Toronto |
| Gabriel Ma | University of Toronto |
| Evan Marth | University of Ottawa |
| Jonathan Martin | Western University |
| Syed Mehdi | Western University |
| Allan Menezes | University of Toronto |
| Qicheng Mi | University of Toronto |
| Sachin Kumar Muthukumar | University of Waterloo |
| Enrique Nunez Lon-wo | University of Toronto |
| Ngoc Tien Phan | York University |
| Nischay Reddy | University of Toronto |
| Kathryn Richardson | Carleton University |
| Hajime Saeki | University of Toronto |
| Sueda Senturk Avci | University of Manitoba |
| Kai Shaikh | University of Toronto |
| Lingyun Shao | University of Toronto |
| Shuyang Shen | University of Toronto |
| Alexander Slamen | University of Toronto |
| Yuxuan Sun | University of Toronto |
| Yun-chi Tang | University of Toronto |
| Peiran Tao | University of Waterloo |
| Elias Vandenberg | Western University |
| Chad Wang | University of Toronto |
| Jenny Wang | McMaster University |
| Kevin Watmough | University of Toronto |
| Tsz Hin Wong | University of Toronto |
| Yunhai Xiang | Western University |
| Roger Yang | Western University |
| Sin Hang Jason Yeung | University of Toronto |
| . Yousaf Nabhan | University of Toronto |
| David Zeng | University of Toronto |
| Xiao Zhong | University of Waterloo |
| Cuiwen Zhu | University of Waterloo |
| Alex Zwart | Western University |
