New Interactions between probability and geometry - IPAM

New Interactions between probability and geometry

January 26 - 30, 2026

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, January 26, 2026

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
MODERATOR: Yilin Wang
09:00-09:45
Scott Sheffield (Massachusetts Institute of Technology)
TBA
10:00-10:15
Break
10:15-11:00
Mingkun Liu (Université de Paris XIII (Paris-Nord))
Length spectrum of random surfaces and random graphs
11:15-11:30
Break
11:30-12:15
Joe Thomas (Durham University)
The polynomial method for spectral gaps of random hyperbolic surfaces

Afternoon Session

12:30-14:30
Lunch (on your own)
MODERATOR: Yilin Wang
14:30-15:15
Franco Vargas Pallete (Arizona State University)
W-volume for planar domains with circular boundary
15:30-16:00
Break
16:00-16:45
Discussion

Tuesday, January 27, 2026

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
MODERATOR: Fredrik Viklund
09:00-09:45
Kurt Johansson (KTH Royal Institute of Technol)
Planar Coulomb gas on a Jordan arc
10:00-10:15
Break
10:15-11:00
Eero Saksman (University of Helsinki)
Some random geometry in Riemann zeta
11:15-11:30
Break
11:30-12:15
Tianyi Zheng (University of California San Diego)
Quasi-isometric nonequivalence for random subsets in products of trees

Afternoon Session

12:30-14:30
Lunch (on your own)
MODERATOR: Fredrik Viklund
14:30-15:15
Shirshendu Ganguly (University of California, Berkeley)
Polymer models in critical environments.
15:30-15:45
Lightning Poster Round
15:45-17:00
Poster Session & Reception (Hosted by IPAM)

Wednesday, January 28, 2026

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
MODERATOR: Steffen Rohde
09:00-09:45
Paul Wiegmann (University of Chicago)
Quantum Field Theory Approach to Selberg-Dyson Integrals with a large number of variables on Jordan curves
10:00-10:15
Break
10:15-11:00
Ilia Binder (University of Toronto)
Computability and Complexity in Complex Analysis: from 2007 to 2026
11:15-11:30
Break
11:30-12:15
Catherine Wolfram (ETH Zurich)
Brownian bubble tea

Afternoon Session

12:30-12:40
Group Photo
12:30-14:30
Lunch (on your own)
Afternoon Free

Thursday, January 29, 2026

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
MODERATOR: Mario Bonk
09:00-09:45
Ewain Gwynne (University of Chicago)
Directed distances in bipolar-oriented triangulations: exact exponent and scaling limits
10:00-10:15
Break
10:15-11:00
Jacopo Borga (Massachusetts Institute of Technology)
Exact exponents for directed distances in planar maps in the $\gamma$-LQG universality class for $\gamma\in(0, \sqrt{4/3}]$
11:15-11:30
Break
11:30-12:15
Tom Alberts (University of Utah)
Spectral Properties of Random Cluster Models and Applications to Composite Materials

Afternoon Session

12:30-14:30
Lunch (on your own)
MODERATOR: Mario Bonk
14:30-15:15
Yuyang Feng (University of Chicago)
The scaling limit of loop-erased percolation interface on the uniform infinite triangulation
15:30-16:00
Break
16:00-16:45
Discussion
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