Interactions between fractal geometry, harmonic analysis, and dynamical systems
September 2 - December 11, 2026
The purpose of the semester is to unite experts working at the interfaces between fractal geometry, harmonic analysis, and dynamical systems. These areas have become increasingly intertwined in the 2000s. Some of the most striking recent progress in each of fields has resulted from surprising input from the two others. The three main aims of the semester are to discover further connections between the fields, to facilitate experts in one field to rapidly gain a deeper understanding of the other two, and to provide junior mathematicians a unique opportunity gain experience in all three areas, early-on in their careers.
Examples of specific topics covered by the semester include (i) problems in continuum incidence geometry related to Kakeya sets, distance sets, and projections, sum-product theory, and finding patterns in fractal sets, (ii) connections between these problems with Fourier restriction and decoupling theory, fractal uncertainty principles in quantum chaos, and Fourier decay problems for dynamically defined fractal measures, (iii) the theory of effective equidistribution of random walks on groups.
The scientific programme of the semester will contain two week-long workshops, and several weekly seminars.
Workshop 1: September 21 — September 25
Workshop 2: November 16 — November 20
Seminars Scroll to the next upcoming seminar
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Amir Algom | University: University of Haifa at Oranim | Country: Israel | Arrival and Departure: Sep 2 - Nov 28 |
| Kristian Bjerklöv | University: KTH royal institute of technology | Country: Sweden | Arrival and Departure: Sep 2 - Dec 11 |
| Michael Björklund | University: Chalmers University of Technology | Country: Sweden | Arrival and Departure: Sep 2 - Dec 11 |
| Emmanuel Breuillard | University: University of Oxford | Country: United Kingdom | Arrival and Departure: Sep 28 - Dec 11 |
| Paige Bright | University: MIT | Country: | Arrival and Departure: Sep 2 - Dec 11 |
| Alex Cohen | University: Courant Institute | Country: United States | Arrival and Departure: Nov 8 - Dec 11 |
| Marianna Csörnyei | University: University of Chicago | Country: United States | Arrival and Departure: Nov 13 - Dec 11 |
| Damian Dabrowski | University: Instytut Matematyczny Pan W Warszawie | Country: Poland | Arrival and Departure: Sep 7 - Oct 2 |
| Nicolas de Saxcé | University: Université Paris-Nord | Country: France | Arrival and Departure: Sep 2 - Dec 11 |
| Semyon Dyatlov | University: MIT Massachusetts Institute of Technology | Country: United States | Arrival and Departure: Sep 21 - Sep 25 |
| Manfred Einsiedler | University: ETH Zürich | Country: Switzerland | Arrival and Departure: Sep 1 - Sep 12 |
| De-Jun Feng | University: Chinese University of Hong Kong | Country: Hong Kong, China | Arrival and Departure: Nov 28 - Dec 11 |
| Jonathan Fraser | University: University of St Andrews | Country: United Kingdom | Arrival and Departure: Sep 20 - Nov 21 |
| Katrin Fässler | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Sep 2 - Oct 18 |
| Shengwen Gan | University: University of Wisconsin-Madison | Country: United States | Arrival and Departure: Sep 2 - Dec 1 |
| Alexander Gorodnik | University: University of Zurich | Country: Switzerland | Arrival and Departure: Sep 6 - Sep 20 |
| Shaoming Guo | University: Chern Institute of Mathematics, Nankai University | Country: China | Arrival and Departure: Sep 1 - Dec 12 |
| Weikun He | University: Academy of Mathematics and System Science, Chinese Academy of Sciences | Country: China | Arrival and Departure: Sep 2 - Oct 7 |
| Mike Hochman | University: The Hebrew University of Jerusalem | Country: | Arrival and Departure: Sep 9 - Sep 26,2026 |
| Alex Iosevich | University: University of Rochester | Country: United States | Arrival and Departure: Sep 1 - Oct 1 |
| Natalia Jurga | University: University of St Andrews | Country: Scottland | Arrival and Departure: Sep 2 - Sep 16 |
| Osama Khalil | University: University of Illinois Chicago | Country: United States | Arrival and Departure: Nov 15 - Nov 28 |
| Henna Koivusalo | University: University of Bristol | Country: United Kingdom | Arrival and Departure: Oct 24 - Dec 11 |
| Vjekoslav Kovac | University: University of Zagreb | Country: Croatia | Arrival and Departure: Nov 15 - Nov 21 |
| Pär Kurlberg | University: KTH Royal institute of technology | Country: Sweden | Arrival and Departure: Sep 2 - Dec 11 |
| Gaétan Leclerc | University: University of Helsinki | Country: Finland | Arrival and Departure: Sep 2 - Dec 11 |
| Jialun Li | University: CNRS and Ecole Polytechnique | Country: France | Arrival and Departure: Sep 2 - Dec 11 |
| Zuo Lin | University: University of California, Berkeley | Country: United States | Arrival and Departure: Sep 2 - Dec 11 |
| Elon Lindenstrauss | University: Institute for Advanced Study | Country: United States | Arrival and Departure: Nov 15 - Nov 28 |
| Dominique Maldague | University: University of Cambridge | Country: United Kingdom | Arrival and Departure: Nov 8 - Dec 11 |
| Amir Mohammadi | University: University of California, San Diego | Country: United States | Arrival and Departure: Oct 1 - Oct 20 |
| Joel Moreira | University: Warwick University | Country: United Kingdom | Arrival and Departure: Sep 14 - Sep 25 |
| Arian Nadijmzadah | University: University of California, Los Angeles | Country: United States | Arrival and Departure: Sep 1 - Dec 12 |
| Will O'Regan | University: University of British Columbia | Country: Canada | Arrival and Departure: Sep 2 - Dec 11 |
| Tuomas Orponen | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Sep 1 - Dec 11 |
| Malabika Pramanik | University: University of British Columbia | Country: Canada | Arrival and Departure: Sep 2 - Dec 11 |
| Ariel Rapaport | University: Technion | Country: Israel | Arrival and Departure: Sep 17 - Sep 29 |
| Alex Rutar | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Sep 1 - Dec 12 |
| Tuomas Sahlsten | University: University of Helsinki | Country: Finland | Arrival and Departure: Sep 2 - Dec 12 |
| Pablo Shmerkin | University: University of British Columbia | Country: Canada | Arrival and Departure: Sep 2 - Dec 12 |
| Olof Sisask | University: Stockholm University | Country: Sweden | Arrival and Departure: Sep 2 - Dec 11 |
| Rajula Srivastava | University: University of Wisconsin-Madison | Country: United States | Arrival and Departure: Sep 15 - Nov 21 |
| Andreas Strömbergsson | University: Uppsala University | Country: Sweden | Arrival and Departure: Sep 2 - Dec 11 |
| Donald Stull | University: University of Chicago | Country: United States | Arrival and Departure: Oct 1 - Oct 15 |
| Zhongkai Tao | University: Institut des Hautes Études Scientifiques | Country: France | Arrival and Departure: Sep 2 - Oct 30 |
| Sascha Troscheit | University: Uppsala University | Country: Sweden | Arrival and Departure: Sep 2 - Dec 11 |
| Hong Wang | University: Courant Institute of Mathematical Sciences, IHES | Country: United States | Arrival and Departure: Sep 20 - Sep 16 (1st visit) |
| Hong Wang | University: Courant Institute of Mathematical Sciences, IHES | Country: United States | Arrival and Departure: Nov 15 - Nov 28 (2nd visit) |
| Josh Zahl | University: University of British Columbia | Country: China | Arrival and Departure: Sep 2 - Dec 11 |
| Dmitrii Zakharov | University: MIT Massachusetts Institute of Technology | Country: United States | Arrival and Departure: Sep 6 - Dec 6 |
| Ruixiang Zhang | University: University of Berkeley | Country: United States | Arrival and Departure: Sep 21 - Nov 20 |
| Tamar Ziegler | University: Hebrew University | Country: Israel | Arrival and Departure: Sep 15 - Oct 10 |