Number Theory Web Seminar
Number Theory Web Seminar
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This number theory seminar is purely online. Our talks come from various corners of the field and of the world. They are streamed live on Zoom.
Organizers:
Michael Bennett (University of British Columbia)
Philipp Habegger (University of Basel)
Alina Ostafe (UNSW Sydney)
There are no fees, but registration is necessary. To register please follow this link.
Registered users will receive an email a few hours before the talk with a link to the Zoom meeting.
The seminar runs every Thursday. Please note the usual times of the seminar below and in the FAQ Section.
Talks are usually 50 minutes and then time for some questions.
Contact: ntweb.seminar@gmail.com
YouTube Channel: https://www.youtube.com/@numbertheorywebseminar
Please consider the following:
Each talk has a unique Zoom meeting-ID that all registered participants receive by email before the talk. You will receive this email from organizers@ntwebseminar.org. Never publicly share this ID or the password.
If you did not received an invitation one hour before the talk please check your spam folder. If you cannot find the email there please contact ntweb.seminar@gmail.com.
To unsubscribe from the mailing list please follow the link at the bottom of the invitation email.
Participant's audio is muted by default. You can unmute to ask questions.
You can ask questions in the chat window or by unmuting the microphone and asking them directly.
Next talk:
Next talk:
Vivian Kuperberg, Consecutive sums of two squares in arithmetic progressions
(ETH Zürich)
Vivian Kuperberg, Consecutive sums of two squares in arithmetic progressions
(ETH Zürich)
Thursday, May 1, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 2, 2025 (1am AEST, 3am NZST)
Thursday, May 1, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 2, 2025 (1am AEST, 3am NZST)
Abstract: There are infinitely many primes whose last digit is 1 such that the next prime also ends in a 1, and in fact these primes have positive density in the set of all primes. However, it is an open problem to show that there are infinitely many primes ending in 1 such that the next prime ends in 3. In this talk, we'll instead consider the sequence of sums of two squares in increasing order. We'll show that there are infinitely many sums of two squares ending in 1 such that the next sum of two squares ends in 3, and in fact that these sums of two squares have positive density in the set of all sums of two squares. Joint work with Noam Kimmel.
Abstract: There are infinitely many primes whose last digit is 1 such that the next prime also ends in a 1, and in fact these primes have positive density in the set of all primes. However, it is an open problem to show that there are infinitely many primes ending in 1 such that the next prime ends in 3. In this talk, we'll instead consider the sequence of sums of two squares in increasing order. We'll show that there are infinitely many sums of two squares ending in 1 such that the next sum of two squares ends in 3, and in fact that these sums of two squares have positive density in the set of all sums of two squares. Joint work with Noam Kimmel.
Upcoming talks:
Upcoming talks:
Martin Widmer, Small generators of number fields
(Royal Holloway, University of London)
Martin Widmer, Small generators of number fields
(Royal Holloway, University of London)
Thursday, May 8, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 9, 2025 (1am AEST, 3am NZST)
Thursday, May 8, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 9, 2025 (1am AEST, 3am NZST)
Abstract: Given a finite field extension of the rational numbers, how big is the smallest height of a generator? In 1998 Wolfgang Ruppert formulated two precise questions on this problem. One of them is completely solved while the other has evolved into a conjecture. We report modest progress on this conjecture and, time permitting, will address a question by Ellenberg that relates small generators of number fields with upper bounds for the l-torsion part of class groups. Much of this is joint work with Shabnam Akhtari and Jeffrey Vaaler.
Abstract: Given a finite field extension of the rational numbers, how big is the smallest height of a generator? In 1998 Wolfgang Ruppert formulated two precise questions on this problem. One of them is completely solved while the other has evolved into a conjecture. We report modest progress on this conjecture and, time permitting, will address a question by Ellenberg that relates small generators of number fields with upper bounds for the l-torsion part of class groups. Much of this is joint work with Shabnam Akhtari and Jeffrey Vaaler.
Peter Koymans, TBA
(Utrecht University)
Peter Koymans, TBA
(Utrecht University)
Thursday, May 15, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 16, 2025 (1am AEST, 3am NZST)
Thursday, May 15, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 16, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Abstract: TBA
Carlo Pagano, TBA
(Concordia University)
Carlo Pagano, TBA
(Concordia University)
Thursday, May 22, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 23, 2025 (1am AEST, 3am NZST)
Thursday, May 22, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 23, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Abstract: TBA
Fabien Pazuki, TBA
(University of Copenhagen)
Fabien Pazuki, TBA
(University of Copenhagen)
Thursday, May 29, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 30, 2025 (1am AEST, 3am NZST)
Thursday, May 29, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, May 30, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Abstract: TBA
Will Sawin, TBA
(Princeton University)
Will Sawin, TBA
(Princeton University)
Thursday, June 5, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 6, 2025 (1am AEST, 3am NZST)
Thursday, June 5, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 6, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Abstract: TBA
Oliver Roche-Newton, TBA
(Johannes Kepler University)
Oliver Roche-Newton, TBA
(Johannes Kepler University)
Thursday, June 12, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 13, 2025 (1am AEST, 3am NZST)
Thursday, June 12, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 13, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Abstract: TBA
Davide Lombardo, TBA
(University of Pisa)
Davide Lombardo, TBA
(University of Pisa)
Thursday, June 19, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 20, 2025 (1am AEST, 3am NZST)
Thursday, June 19, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 20, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Abstract: TBA
Jan Hendrik Bruinier, TBA
(TU Darmstadt)
Jan Hendrik Bruinier, TBA
(TU Darmstadt)
Thursday, June 26, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 27, 2025 (1am AEST, 3am NZST)
Thursday, June 26, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, June 27, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Abstract: TBA
Summer Break
(1 July - 31 August)
Summer Break
(1 July - 31 August)
Rafael von Känel, TBA
(Institute for Advanced Study, Tsinghua University)
Rafael von Känel, TBA
(Institute for Advanced Study, Tsinghua University)
Thursday, September 18, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, September 19, 2025 (1am AEST, 3am NZST)
Thursday, September 18, 2025 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm IDT, 8:30pm IST, 11pm CST)
Friday, September 19, 2025 (1am AEST, 3am NZST)
Abstract: TBA
Abstract: TBA
Sponsors:
Sponsors:
We gratefully acknowledge the generous support of:
University of Basel (financial support, zoom licence)
University of New South Wales (financial support, zoom licence)
Max Planck Institute for Mathematics (zoom licence, 2020)
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