Statistical Mechanics and Combinatorics of Discrete Planar Structures

This thematic program will bring together experts for the study of discrete planar structures. Such structures play a prominent role in separate recent developments in combinatorics and probability (especially statistical mechanics) and within this program experts from both communities share their perspectives and aim to initiate new approaches to some of the most important problems at the intersection of these areas.

The program will last 7 weeks and feature an Introductory School and two one-week topical workshops, as well as several weeks with a light program to enable collaborations, reading groups and discussions among the participants.

Schedule:

Week 1, Sep 14-18: Introductory School - NB: fully booked
Week 2, Sep 21-25: Workshop 1: Statistical Mechanics: planar & beyond (co-organised by Nathanael Berestycki, Marcin Lis and Fabio Toninelli --- NB: fully booked
Week 3, Sept 30: Budapest-Vienna Probability Seminar at TU Wien
Week 3, Oct 1: Talks by Greta Panova (University of Southern California ) und Leonid Petrov (University of Virginia)
Week 4, Oct 8: Short talks by Rebecca Steiner (U Mainz), Mateusz Piorkowski (KTH Stockholm), Mike Liu (TU Graz), and Orphée Colin (TU Graz)
Week 4: Oct 9-10: Symposium Discrete Mathematics (Day I at ESI, Day II at SkyLounge, OMP1)
Week 5: Oct 13: Vienna Combinatorics Seminar, 14:30-16:30
Week 5, Oct 15: Short talks by Kieran Ryan (TU Wien), Jonas Köppl (U Münster), Melda Akyazi (U Wien), and Max Gutkin (TU Graz)
Week 5: Oct 16: Talk by Morris Ang (UC San Diego), 11:30-12:30
Week 6, Oct 19-23: Workshop 2: Combinatorics & Asymptotics of discrete planar structures (co-organised by Michael Drmota, Ilse Fischer, Benedikt Stufler) --- NB: fully booked
Week 7, Oct 26-30:

Partial support is acknowledged from the SFB F 1002  "Discrete random structures: enumeration and scaling limits" by the Austrian Science Fund (FWF).

Sept. 14, 2026
09:00 — 09:30
INTRODUCTORY SCHOOL: Welcome & Registration
09:30 — 10:50
10:50 — 11:10
Coffee break
11:10 — 12:30
Richard Kenyon (Yale U, New Haven)
Dimers and Webs, Class I
Recording

Minicourse

12:30 — 15:00
Lunch break
15:00 — 15:45
Ilse Fischer (U of Vienna)

Exercise Class I

15:45 — 16:00
Coffee break
16:00 — 16:45
Rick Kenyon (Yale U, New Haven)

Exercise Class 1

Sept. 15, 2026
09:00 — 10:30
10:30 — 11:00
Coffee break
11:00 — 12:30
Richard Kenyon (Yale U, New Haven)
Dimers and Webs, Class II
Recording

Minicourse

12:30 — 14:30
Lunch break
14:30 — 15:15
Ilse Fischer (U of Vienna)

Exercise Class II

15:15 — 15:45
Coffee break
15:45 — 16:45
Discussion
Sept. 16, 2026
09:00 — 10:30
Richard Kenyon (Yale U, New Haven)
Dimers and Webs, Class III
Recording

Minicourse

10:30 — 11:00
Coffee break
11:00 — 12:30
12:30 — 14:30
Lunch break & free afternoon
Sept. 17, 2026
09:00 — 10:30
10:30 — 11:00
Coffee break
11:00 — 12:30
12:30 — 14:30
Lunch break
14:30 — 15:15
Rick Kenyon (Yale U, New Haven)

Exercise Class II

15:15 — 15:45
Coffee break
15:45 — 16:30
Ioan Manolescu (U of Fribourg)

Exercise Class I

Sept. 18, 2026
11:00 — 11:30
Coffee break
11:30 — 12:15
Ioan Manolescu (U of Fribourg)

Exercise Class II

Sept. 21, 2026
09:30 — 10:00
Workshop I “Statistical Mechanics: planar & beyond": Welcome & Registration
10:00 — 10:50
11:00 — 11:30
Coffee break
11:30 — 12:20
12:20 — 14:15
Lunch break
14:15 — 15:05
15:15 — 15:45
Coffee break
Sept. 22, 2026
09:00 — 09:50
Cristina Toninelli (CEREMADE, Paris)
Mixing time and cutoff for a lifted lazy TASEP
10:00 — 10:30
Coffee break
10:30 — 11:20
12:20 — 14:15
Lunch break
14:15 — 15:05
15:15 — 15:45
Coffee break
Sept. 23, 2026
09:00 — 09:50
10:00 — 10:30
Coffee break
10:30 — 11:20
11:30 — 12:20
12:20 — 14:15
Lunch break & free afternoon
18:30 — 22:00
Social Dinner
Sept. 24, 2026
10:00 — 10:30
Coffee break
11:30 — 12:20
12:20 — 14:15
Lunch break
15:15 — 15:45
Coffee break
Sept. 25, 2026
09:30 — 10:20
10:30 — 11:00
Coffee break
11:00 — 11:50
11:50 — 12:50
Sept. 30, 2026
Budapest-Vienna Probability Seminar

Please see the event page: https://sites.google.com/view/budapest-vienna-proba-semi/home

Venue: TU Wien

Oct. 1, 2026
09:30 — 10:30
Leonid Petrov (U Virginia)
Random Lozenge Waterfall
Oct. 8, 2026
09:30 — 10:00
Rebecca Steiner (U Mainz)
m-dependent Markov chains
10:00 — 10:30
Mateusz Piorkowski (KTH, Stockholm)
Arctic curves of dimer models with periodic weights
10:30 — 10:50
Coffee break
10:50 — 11:20
Oct. 9, 2026
09:00 — 09:45
SYMPOSIUM DISCRETE MATHEMATICS: Registration

Day 1 takes place at Erwin Schrödinger International Institute for Mathematics and Physics (ESI), Boltzmanngasse 9, 1090 Wien
Titles and abstracts can be found here: https://symposiumdiscretemathematics2026.univie.ac.at/

09:45 — 10:00
Opening
10:00 — 11:00
Vincent Pilaud (U of Barcelona)

Building lattices with flat scaffolding projections

11:00 — 11:30
Prize Award Ceremony
11:30 — 12:00
Talk of the Prize Winner
12:00 — 14:00
Lunch
14:00 — 15:00
Talk of the Juror
15:00 — 15:30
Sandra Albrechtsen (U of Leipzig)

Structural coarse graph theory

15:30 — 16:00
Coffee break
16:00 — 16:30
Nikolas Mählmann (U of Warsaw)

Monadically Stable and Monadically Dependent Graph Classes

16:30 — 17:00
Moritz Grillo (MPI MiS Leipzig)

Polyhedral Geometry of ReLU Networks: From Parameters to Functions

17:00 — 17:30
Meeting of the Fachgruppe

Venue: Schrödinger Lecture Hall

18:30 — 22:00
Social Dinner Heuriger
Oct. 10, 2026
09:30 — 16:30
DAY II: Symposium Discrete Mathematics

Day 2 takes place at SkyLounge, Oskar-Morgenstern-Platz 1, 1090 Vienna, 12th floor

09:31 — 10:30
Jessica Striker (North Dakota State U)

Webs, dynamics, and alternating sign matrices

10:30 — 11:00
Marcus Kühn (U of Bonn)

The Hypergraph Removal Process

11:00 — 11:30
Coffee break
11:30 — 12:30
Laura Sanità (Bocconi U)

Algorithmic Frontiers in Linear Optimization

12:30 — 14:00
Lunch
14:00 — 14:30
Chen Wang

Long increasing subsequences and unexpectedly short recurrences

14:30 — 15:30
Daniel Kráľ (U of Leipzig)

Turán problems in the uniform setting

Oct. 15, 2026
13:59 — 16:20
Talks consists of 25 min presentation, followed by 5 min Q&A
15:00 — 15:20
Coffee break
15:50 — 16:20
Oct. 16, 2026
11:30 — 12:30
Oct. 19, 2026
09:00 — 09:25
Workshop II “Combinatorics & Asymptotics of discrete planar structures” : Welcome & Registration
09:25 — 09:30
Opening
09:30 — 10:30
Jean-François Le Gall (U Paris Saclay)
The area of spheres in the Brownian plane
10:30 — 11:00
Coffee break
11:00 — 12:00
12:00 — 13:00
13:00 — 14:15
Lunch break
14:15 — 15:15
15:15 — 15:45
Coffee break
15:45 — 16:45
Oct. 20, 2026
09:00 — 10:00
Mireille Bousquet-Mélou (U Bordeaux)
Cyclic sieving phenomena for trees and maps
10:00 — 10:30
Coffee break
11:30 — 12:30
Eric Fusy (U Gustave Eiffel, Champs-sur-Marne)
Leap generators for composition schemes
12:30 — 14:15
Lunch break
14:15 — 15:15
15:15 — 15:45
Coffee break
15:45 — 16:45
Oct. 21, 2026
09:00 — 10:00
Philippe Di Francesco (U Illinois)
From Cluster Algebras to q-Identities
10:00 — 10:30
Coffee break
10:30 — 11:30
12:30 — 18:30
Lunch, followed by excursion
18:30 — 22:00
Social dinner
Oct. 22, 2026
09:00 — 10:00
10:00 — 10:30
Coffee break
10:30 — 11:30
Benjamin Young (U of Oregon, Eugene)
Plane partitions, double dimers and transfer matrices
11:30 — 12:30
12:30 — 14:15
Lunch break
14:15 — 15:15
Sigurður Örn Stefánsson (U of Iceland)
Random series-parallel maps
15:15 — 15:45
Coffee break
15:45 — 16:45
Cyril Marzouk (CNRS & Ecole Polytechnique, Palaiseau)
A growth diffusion on continuum trees
Oct. 23, 2026
09:00 — 10:00
10:00 — 11:00
11:00 — 11:30
Coffee break
12:30 — 13:30
Jeanne Scott (U of Minnesota)
Non-Crossing Diagrammatics of the Okada Algebras
This event has no subevents associated to it.

Organizers

Name Affiliation
Nathanael Berestycki University of Vienna
Michael Drmota Vienna University of Technology
Ilse Fischer University of Vienna
Mihyun Kang Technische Universität Graz
Astrid Kollros University of Vienna
Christian Krattenthaler University of Vienna
Marcin Lis Vienna University of Technology
Benedikt Stufler Vienna University of Technology
Fabio Toninelli Vienna University of Technology

Attendees

Name Affiliation
Niklas Affolter Vienna University of Technology
Akshat Agarwal Massachusetts Institute of Technology
Melda Akyazi Universität Wien
Marie Albenque CNRS Paris
Tomas Alcalde Lopez TU Wien
Daniel Amankwah University of Iceland
Morris Ang University of California, San Diego
Arvind Ayyer Indian Institute of Science Bangalore
Fabien Baeriswyl TU Wien
Mikhail Basok University of Helsinki
David Beck-Tiefenbach Universität Innsbruck
Tomas Berggren University of South Florida
Pierre Bonnet TU Wien
Vladimir Boskovic IPhT Saclay
Mireille Bousquet-Mélou Université de Bordeaux
Cedric Boutillier Sorbonne Université, Paris
Timothy Budd Radboud University
Fabian Burghart Technische Universität Graz
Amelia Carpenter University of Cambridge
Guillaume Chapuy Université Paris Cité
Sunil Chhita Durham University
Mihai Ciucu Indiana University
Orphee Collin TU Wien
Filippo Colomo Istituto Nazionale di Fisica Nucleare, Sezione di Firenze
Nicolas Curien University Paris Saclay
Lorenzo Vito Dal Zovo Politecnico di Torino
William Da Silva Universität Wien
Beatrice de Tiliere Université Paris-Dauphine
Philippe Di Francesco University of Illinois at Urbana-Champaign
Theresia Eisenkölbl University of Vienna
Yuyang Feng University of Chicago
Thorbjorn Frommelt École Polytechnique Fédérale de Lausanne
Eric Fusy Université Gustave Eiffel
Moritz Gangl Universität Wien
Christophe Garban Université Lyon 1
Simon Garger University of Cambridge
Anna Geisler Technische Universität Graz
Henry Giles TU Wien
Alexander Glazman Karlsruhe Institute of Technology
Mie Kano Glückstad University of Oxford
Vadim Gorin University of California, Berkeley
Max Gutkin Technische Universität Graz
Xiao Han École Polytechnique Fédérale de Lausanne
Ulrik Hansen Universität Innsbruck
Levi Haunschmid-Sibitz KTH Stockholm
Lorca Heeney TU Wien
Tyler Helmuth Durham University
Benjamin Holland Young University of Bath
Hans Höngesberg Universität Wien
Daoji Huang University of Massachusetts Amherst
Jesper Jacobsen École Normale Supérieure
Richard Kenyon Yale University
Borislav Kirilov Universität Wien
Jonas Köppl University of Münster
Michael Krivelevich Tel Aviv University
Nishu Kumari University of Vienna
Hubert Lacoin Institudo Nacional de Matemática Pura e Aplicada
Wai Yeung Lam University of Luxembourg
Jean-François Le Gall University Paris Saclay
Yueheng Li Sorbonne Université, Paris
Lyuben Lichev TU Wien
Haoyu Liu Peking University
Mike Liu Technische Universität Graz
Titus Lupu Sorbonne Université, Paris
Victor J. Maciá Universidad de la Laguna
Mirmukhsin Makhmudov University of Oulu
Ioan Manolescu University of Fribourg
Cyril Marzouk CNRS & Ecole Polytechnique, Palaiseau
Gregory Miermont Ecole Normale Superieure de Lyon
Yago Moreno Alonso TU Delft
Quentin Moulard TU Wien
Assylbek Olzhabayev Institut of Science and Technology Austria
Sigurður Örn Stefánsson University of Iceland
Konstantinos Panagiotou LMU München
Yihao Pang Université Paris Cité
Romain Panis Université Lyon 1
Greta Panova University of Southern California
Léonie Papon Vienna University of Technology
Eveliina Peltola Aalto University
Leonid Petrov University of Virginia
Mateusz Piorkowski KTH Royal Institute of Technology
Fabio Plaga TU Wien
Istvan Prause Åbo Akademi University
Sanjay Ramassamy IPhT Saclay
Markus Reibnegger Universität Wien
Marianna Russkikh University of Notre Dame du Lac
Kieran Ryan TU Wien
Zéphyr Salvy TU Wien
Koka Sathwik École Normale Supérieure
Michael Schlosser University of Vienna
Marcus Schönfelder Universität Wien
Florian Schreier-Aigner University of Vienna
Jeanne Scott University of Minnesota
Franco Severo Sorbonne Université, Paris
Rebecca Steiner Johannes-Gutenberg Universität Mainz
Jessica Striker North Dakota State University
Xin Sun Peking University
Yi Tian University of Cambridge
Cristina Toninelli CEREMADE University Paris Dauphine
Diederik Van Engelenburg TU Wien
Vincent Viau TU Wien
Yitian Wang Vienna University of Technology
Ronen Wdowinski Technische Universität Graz
Atsuro Yoshida Universität Wien
Benjamin Young University of Oregon
Yizheng Yuan Universität Wien
Konstantinos Zampetakis Technische Universität Dortmund
César Zarco Romero Weierstrass Institute Berlin
Zijie Zhuang University of Pennsylvania
Preview of Ilse Fischer - Alternating Sign Matrices and Plane Partitions, Class I
Ilse Fischer (U of Vienna): Alternating Sign Matrices and Plane Partitions, Class I
Sept. 14, 2026 09:30 — 10:50
Preview of Richard Kenyon - Dimers and Webs, Class I
Richard Kenyon (Yale U, New Haven): Dimers and Webs, Class I
Sept. 14, 2026 11:10 — 12:30
Preview of Ilse Fischer - Alternating Sign Matrices and Plane Partitions, Class II
Ilse Fischer (U of Vienna): Alternating Sign Matrices and Plane Partitions, Class II
Sept. 15, 2026 09:00 — 10:30
Preview of Richard Kenyon - Dimers and Webs, Class II
Richard Kenyon (Yale U, New Haven): Dimers and Webs, Class II
Sept. 15, 2026 11:00 — 12:30
Preview of Richard Kenyon - Dimers and Webs, Class III
Richard Kenyon (Yale U, New Haven): Dimers and Webs, Class III
Sept. 16, 2026 09:00 — 10:30
Preview of Ilse Fischer - Alternating Sign Matrices and Plane Partitions, Class III
Ilse Fischer (U of Vienna): Alternating Sign Matrices and Plane Partitions, Class III
Sept. 17, 2026 11:00 — 12:30
Preview of Beatrice de Tiliere - Classification of (non)-frustrated 2D Ising models in genus 1
Beatrice de Tiliere (U Paris-Dauphine): Classification of (non)-frustrated 2D Ising models in genus 1
Sept. 21, 2026 10:00 — 10:50
Preview of Christophe Garban - Small perturbations of the classical Heisenberg model
Christophe Garban (U Lyon 1): Small perturbations of the classical Heisenberg model
Sept. 21, 2026 11:30 — 12:20
Preview of Cristina Toninelli - Mixing time and cutoff for a lifted lazy TASEP
Cristina Toninelli (CEREMADE, Paris): Mixing time and cutoff for a lifted lazy TASEP
Sept. 22, 2026 09:00 — 09:50
Preview of Cedric Boutillier - Dimers on Speyer crosses-and-wrenches graphs
Cedric Boutillier (SU, Paris): Dimers on Speyer crosses-and-wrenches graphs
Sept. 22, 2026 10:30 — 11:20
Preview of Marianna Russkikh - From Dimers to Maximal Surfaces in Minkowski Space R^{2,1}
Marianna Russkikh (Notre Dame du Lac): From Dimers to Maximal Surfaces in Minkowski Space R^{2,1}
Sept. 22, 2026 14:15 — 15:05
Preview of Titus Lupu - Renormalised two-point functions of CLE_4 gaskets
Titus Lupu (SU, Paris): Renormalised two-point functions of CLE_4 gaskets
Sept. 23, 2026 09:00 — 09:50
Preview of Franco Severo - Weighted isoperimetry implies percolation
Franco Severo (SU, Paris): Weighted isoperimetry implies percolation
Sept. 23, 2026 10:30 — 11:20
Preview of Jesper Jacobsen - Correlation functions in loop models and global symmetry
Jesper Jacobsen (ENS Paris): Correlation functions in loop models and global symmetry
Sept. 23, 2026 11:30 — 12:20
Preview of Alexander Glazman - Potts model in 2D at Tc via the six-vertex and Ashkin-Teller models
Alexander Glazman (KIT, Karlsruhe): Potts model in 2D at Tc via the six-vertex and Ashkin-Teller models
Sept. 24, 2026 11:30 — 12:20
Preview of Lorca Heeney - Excursion decompositions of planar random fields
Lorca Heeney (TU Wien): Excursion decompositions of planar random fields
Sept. 25, 2026 11:00 — 11:50
Preview of Leonid Petrov - Random Lozenge Waterfall
Leonid Petrov (U Virginia): Random Lozenge Waterfall
Oct. 1, 2026 09:30 — 10:30
Preview of Jean-François Le Gall - The area of spheres in the Brownian plane
Jean-François Le Gall (U Paris Saclay): The area of spheres in the Brownian plane
Oct. 19, 2026 09:30 — 10:30
Preview of Nicolas Curien - Universality of critical exponents for catalytic equations
Nicolas Curien (U Paris Saclay): Universality of critical exponents for catalytic equations
Oct. 19, 2026 11:00 — 12:00
Preview of Timothy Budd - Planar maps and their boundary metric
Timothy Budd (Radboud U): Planar maps and their boundary metric
Oct. 19, 2026 12:00 — 13:00
Preview of Michael Krivelevich - Planarity and related topics in random graphs
Michael Krivelevich (Tel Aviv U): Planarity and related topics in random graphs
Oct. 19, 2026 14:15 — 15:15
At a glance
Type:
Thematic Programme
When:
Sept. 14, 2026 — Oct. 30, 2026
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Nathanael Berestycki (U of Vienna)
Michael Drmota (TU Wien)
Ilse Fischer (U of Vienna)
Mihyun Kang (TU Graz)
Astrid Kollros (U of Vienna)
Christian Krattenthaler (U of Vienna)
Marcin Lis (TU Wien)
Benedikt Stufler (TU Wien)
Fabio Toninelli (TU Wien)