Home /  Summer Graduate School /  Schedule

Schedule, Notes/Handouts & Videos

Séminaire de Mathématiques Supérieures 2026: Universal Statistics in Number Theory (Montréal, Canada) May 04, 2026 - May 15, 2026

Show All Collapse
May 04, 2026
Monday
09:15 AM - 09:30 AM
  Opening Remarks
09:30 AM - 10:30 AM
  Random profinite groups and arithmetic statistics
Melanie Matchett-Wood (Harvard University; University of California, Berkeley)
11:00 AM - 12:00 PM
  Galois cohomology: Definition of H0/H1, Selmer group
Alexander Smith (Northwestern University)
12:00 PM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  Introduction to counting orbits of coregular representations: Low dimensions
Ashvin Swaminathan (Harvard University)
01:30 PM - 03:30 PM
  Lunch
03:30 PM - 06:00 PM
  Arithmetic Stats working session: Cohomology
May 05, 2026
Tuesday
09:00 AM - 10:30 AM
  Introduction to multiplicative chaos: Steinhaus model of zeta. Chaos.
Christian Webb (University of Helsinki)
11:00 AM - 12:30 PM
  Extrema of log-correlated processes: BRW, log-correlated processes
Louis-Pierre Arguin (University of Oxford)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 05:30 PM
  Probability working session: I/ Estimates for random Euler products II/Some problems on ballots
May 06, 2026
Wednesday
09:00 AM - 10:00 AM
  Random profinite groups and arithmetic statistics
Melanie Matchett-Wood (Harvard University; University of California, Berkeley)
10:30 AM - 11:30 AM
  Galois cohomology: The Greenberg-Wiles formula
Alexander Smith (Northwestern University)
12:00 PM - 01:00 PM
  Introduction to counting orbits of coregular representations: Counting in cuspidal regions
Ashvin Swaminathan (Harvard University)
May 07, 2026
Thursday
09:00 AM - 10:30 AM
  Introduction to multiplicative chaos: Critical Chaos
Christian Webb (University of Helsinki)
11:00 AM - 12:30 PM
  Extrema of log-correlated processes: Tightness of the maxima of Steinhaus model. Berry Esseen estimates
Louis-Pierre Arguin (University of Oxford)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 05:30 PM
  Probability working session: I/ Some harmonic analysis, approximating indicators by polynomials; II/ Relating Steinhaus to Gaussian, coupling
May 08, 2026
Friday
09:00 AM - 10:00 AM
  Random profinite groups and arithmetic statistics
Melanie Matchett-Wood (Harvard University; University of California, Berkeley)
10:30 AM - 11:30 AM
  Galois cohomology: Distribution of isogeny Selmer groups and class groups in families
Alexander Smith (Northwestern University)
12:00 PM - 01:00 PM
  Introduction to counting orbits of coregular representations: Beyond low-dimensions
Ashvin Swaminathan (Harvard University)
01:00 PM - 03:00 PM
  Lunch
03:00 PM - 06:00 PM
  Arithmetic Stats working session: Cohomology
May 11, 2026
Monday
09:00 AM - 10:00 AM
  Introduction to multiplicative chaos: Strategies for chaos for zeta
Christian Webb (University of Helsinki)
10:30 AM - 11:30 AM
  Extrema of log-correlated processes: Maxima of zeta in short intervals
Louis-Pierre Arguin (University of Oxford)
12:00 PM - 01:00 PM
  Introduction to random multiplicative functions
Adam Harper (University of Warwick)
01:00 PM - 03:00 PM
  Lunch
03:00 PM - 04:00 PM
  Points on varieties: The circle method
Tim Browning (Institute of Science and Technology Austria)
May 12, 2026
Tuesday
09:00 AM - 10:00 AM
  Statistics of L-functions over finite fields
Alexandra Florea (University of California, Irvine)
10:30 AM - 11:30 AM
  Moments of L-functions over number fields
Maksym Radziwill (Northwestern University)
12:00 PM - 01:00 PM
  Points on varieties: The large sieve (for point counting or for studying local solubility in families)
Tim Browning (Institute of Science and Technology Austria)
01:00 PM - 03:00 PM
  Lunch
03:00 PM - 04:00 PM
  Introduction to random multiplicative functions
Adam Harper (University of Warwick)
May 13, 2026
Wednesday
09:00 AM - 10:00 AM
  Points on varieties: The Ekedahl/geometric sieve
Tim Browning (Institute of Science and Technology Austria)
10:30 AM - 11:30 AM
  Statistics of L-functions over finite fields
Alexandra Florea (University of California, Irvine)
12:00 PM - 01:00 PM
  Moments of L-functions over number fields
Maksym Radziwill (Northwestern University)
01:00 PM - 03:00 PM
  Lunch
03:00 PM - 06:00 PM
  Working session on points on varieties
May 14, 2026
Thursday
09:00 AM - 10:00 AM
  Introduction to random multiplicative functions
Adam Harper (University of Warwick)
10:30 AM - 11:30 AM
  Statistics of L-functions over finite fields
Alexandra Florea (University of California, Irvine)
12:00 PM - 01:00 PM
  Moments of L-functions over number fields
Maksym Radziwill (Northwestern University)
01:00 PM - 03:00 PM
  Lunch
03:00 PM - 06:00 PM
  Working session on statistics of RMFs and of L-functions
May 15, 2026
Friday
09:00 AM - 10:00 AM
  Special lecture on the distribution of random multiplicative functions
10:30 AM - 11:30 AM
  Hilbert 10
Carlo Pagano (Concordia University)
12:00 PM - 01:00 PM
  Poissonian multiplicative chaos and divisor problems
Dimitris Koukoulopoulos (Université de Montréal)
01:00 PM - 03:30 PM
  Lunch
03:30 PM - 04:30 PM
  Andre-Aisenstadt lecture and Colloquium
Melanie Matchett-Wood (Harvard University; University of California, Berkeley)
Back to Summer Graduate School