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Schedule, Notes/Handouts & Videos

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

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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)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:30 PM
  Galois cohomology: Definition of H0/H1, Selmer group
Alexander Smith (Northwestern University)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 04:00 PM
  Introduction to counting orbits of coregular representations: 3-torsion in quadratic class groups
Niven Achenjang (Massachusetts Institute of Technology)
04:00 PM - 05:00 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)
10:30 AM - 11:00 AM
  Coffee Break
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 - 05:00 PM
  Probability working session: I/ Estimates for random Euler products II/Some problems on ballots
May 06, 2026
Wednesday
09:30 AM - 10:30 AM
  Random profinite groups and arithmetic statistics
Melanie Matchett-Wood (Harvard University; University of California, Berkeley)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:00 PM
  Galois cohomology: Applications to arithmetic statistics
Alexander Smith (Northwestern University)
02:30 PM - 05:00 PM
  Arithmetic Stats working session Cohomology
May 07, 2026
Thursday
09:00 AM - 10:30 AM
  Introduction to multiplicative chaos: Critical Chaos
Christian Webb (University of Helsinki)
10:30 AM - 11:00 AM
  Coffee Break
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
09:30 AM - 10:30 AM
  Random profinite groups and arithmetic statistics
Melanie Matchett-Wood (Harvard University; University of California, Berkeley)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:30 PM
  Introduction to counting orbits of coregular representations: counting in the cusp and 2-Selmer groups
Niven Achenjang (Massachusetts Institute of Technology)
May 11, 2026
Monday
09:00 AM - 10:00 AM
  Introduction to multiplicative chaos: Strategies for chaos for zeta
Christian Webb (University of Helsinki)
10:00 AM - 10:30 AM
  Coffee Break
10:30 AM - 11:30 AM
  Extrema of log-correlated processes: Maxima of zeta in short intervals
Louis-Pierre Arguin (University of Oxford)
11:30 AM - 12:00 PM
  Break
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)
04:00 PM - 05:00 PM
  Working session on points on varieties
May 12, 2026
Tuesday
09:00 AM - 10:00 AM
  Statistics of L-functions over finite fields
Alexandra Florea (University of California, Irvine)
10:00 AM - 10:30 AM
  Coffee Break
10:30 AM - 11:30 AM
  Moments of L-functions over number fields
Maksym Radziwill (Northwestern University)
11:30 AM - 12:00 PM
  Break
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)
04:00 PM - 05:00 PM
  Working session on statistics of RMFs and of L-functions
06:00 PM - 10:00 PM
  Women in Math - Film and Panel (see link below)
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)
10:00 AM - 10:30 AM
  Coffee Break
10:30 AM - 11:30 AM
  Statistics of L-functions over finite fields
Alexandra Florea (University of California, Irvine)
11:30 AM - 12:00 PM
  Break
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)
10:00 AM - 10:30 AM
  Coffee Break
10:30 AM - 11:30 AM
  Statistics of L-functions over finite fields
Alexandra Florea (University of California, Irvine)
11:30 AM - 12:00 PM
  Break
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
  Hilbert 10
Carlo Pagano (Concordia University)
10:00 AM - 10:30 AM
  Coffee Break
10:30 AM - 11:30 AM
  Multiplication Table Problem and Permutations fixing a k-Set
Mehtaab Sawhney (Columbia University)
11:30 AM - 12:00 PM
  Break
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)
04:30 PM - 06:00 PM
  Reception