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
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Manfred Einsiedler: TBA September 03 11:00 - 12:00 -
Alexia Yavicoli: TBA September 08 11:00 - 12:00 Alexia Yavicoli: TBA
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Iqra Altaf: TBA September 08 14:00 - 15:00 Iqra Altaf: TBA
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Timothée Bénard: TBA September 10 11:00 - 12:00 Timothée Bénard: TBA
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Ville Suomala: TBA September 15 14:00 - 15:00 Ville Suomala: TBA
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Giovanni Alberti | University: University of Pisa | Country: Italy | Arrival and Departure: Dec 1 - Dec 11 |
| Amir Algom | University: University of Haifa–Oranim | Country: Israel | Arrival and Departure: Oct 4 - Oct 9 (1st visit) |
| Amir Algom | University: University of Haifa–Oranim | Country: Israel | Arrival and Departure: Nov 15 - Nov 20 (2nd visit) |
| Iqra Altaf | University: University of California | Country: United States | Arrival and Departure: Sep 7 - Sep 14 |
| Simon Baker | University: Loughborough University | Country: United Kingdom | Arrival and Departure: Oct 11 - Oct 23 |
| Amlan Banaji | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Sep 13 - Sep 26 (1st visit) |
| Amlan Banaji | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Nov 15 - Nov 29 (2nd visit) |
| Timothée Bénard | University: CNRS - Université Sorbonne Paris-Nord | Country: France | Arrival and Departure: Sep 7 - Sep 14 (1st visit) |
| Timothée Bénard | University: CNRS - Université Sorbonne Paris-Nord | Country: | Arrival and Departure: Sep 28 - Oct 10 (2nd visit) |
| 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 |
| Tainara Borges | University: University of Pennsylvania | Country: United States | Arrival and Departure: Oct 30 - Nov 15 |
| Emmanuel Breuillard | University: University of Oxford | Country: United Kingdom | Arrival and Departure: Sep 28 - Dec 11 |
| Paige Bright | University: Massachusetts Institute of Technology | Country: United States | Arrival and Departure: Sep 2 - Oct 31 (1st visit) |
| Paige Bright | University: Massachusetts Institute of Technology | Country: United States | Arrival and Departure: Nov 2 - Dec 31 (2nd visit) |
| Alex Cohen | University: New York University | Country: United States | Arrival and Departure: Oct 25 - Nov 24 |
| Emilio Corso | University: Pennsylvania University | Country: United States | Arrival and Departure: Sep 27 - Oct 18 |
| Marianna Csörnyei | University: University of Chicago | Country: United States | Arrival and Departure: Nov 13 - Dec 11 |
| Damian Dabrowski | University: Institute of Mathematics of the Polish Academy of Sciences | Country: Poland | Arrival and Departure: Sep 7 - Oct 2 |
| Ana de Orellana | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Sep 19 - Nov 21 |
| Nicolas de Saxcé | University: Centre National de la Recherche Scientifique – Université Sorbonne Paris Nord | Country: France | Arrival and Departure: Sep 7 - Dec 11 |
| Semyon Dyatlov | University: Massachusetts Institute of Technology | Country: United States | Arrival and Departure: Sep 20 - Sep 26 |
| Samuel Edwards | University: Uppsala University | Country: Sweden | Arrival and Departure: Sep 2 - Dec 11 |
| Manfred Einsiedler | University: ETH Zürich | Country: Switzerland | Arrival and Departure: Sep 1 - Sep 12 |
| Kenneth Falconer | University: University of St Andrews | Country: United Kingdom | Arrival and Departure: Oct 10 - Oct 30 |
| De-Jun Feng | University: The Chinese University of Hong Kong | Country: Hong Kong, China | Arrival and Departure: Nov 28 - Dec 11 |
| Vincent Ferrari-Dominguez | University: IRMA | Country: France | Arrival and Departure: Oct 24 - Oct 31 |
| Jonathan Fraser | University: University of St Andrews | Country: United Kingdom | Arrival and Departure: Sep 20 - Sep 26 (1st visit) |
| Jonathan Fraser | University: University of St Andrews | Country: United Kingdom | Arrival and Departure: Nov 15 - Nov 21 (2nd visit) |
| Katrin Fässler | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Sep 1 - Sep 15 |
| 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: Nov 22 - Nov 28 |
| Shaoming Guo | University: Chern Institute, 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 |
| Jonathan Hickman | University: University of Edinburgh | Country: United Kingdom | Arrival and Departure: Nov 24 - Dec 11 |
| Michael Hochman | University: The Hebrew University of Jerusalem | Country: Israel | Arrival and Departure: Sep 9 - Sep 29 |
| Alex Iosevich | University: University of Rochester | Country: United States | Arrival and Departure: Sep 1 - Oct 1 |
| Natalia Jurga | University: University of St Andrews | Country: United Kingdom | Arrival and Departure: Sep 2 - Sep 16 |
| Tamás Keleti | University: Eötvös Loránd University | Country: Hungary | Arrival and Departure: Nov 1 - Nov 14 |
| Osama Khalil | University: University of Illinois Chicago | Country: United States | Arrival and Departure: Nov 15 - Nov 28 |
| Elena Kim | University: Harvard University | Country: United States | Arrival and Departure: Oct 25 - Oct 31 |
| Henna Koivusalo | University: University of Bristol | Country: United Kingdom | Arrival and Departure: Oct 25 - Dec 12 |
| 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 |
| Antti Käenmäki | University: University of Eastern Finland | Country: Finland | Arrival and Departure: Sep 1 - Sep 9 (1st visit) |
| Antti Käenmäki | University: University of Eastern Finland | Country: Finland | Arrival and Departure: Oct 18 - Oct 25 (2nd visit) |
| Gaétan Leclerc | University: University of Helsinki | Country: France | Arrival and Departure: Sep 2 - Dec 11 |
| Jialun Li | University: Fudan University | Country: China | Arrival and Departure: Sep 19 - Nov 7 |
| Zuo Lin | University: University of California, Berkeley | Country: China | Arrival and Departure: Sep 2 - Nov 30 |
| Elon Lindenstrauss | University: Institute for Advanced Study and The Hebrew University of Jerusalem | Country: United States | Arrival and Departure: Nov 15 - Nov 28 |
| Dominique Maldague | University: University of Cambridge & University of California, Los Angeles | Country: United States | Arrival and Departure: Oct 25 - Nov 24 |
| Amir Mohammadi | University: The University of California, San Diego | Country: United States | Arrival and Departure: Oct 1 - Oct 20 (1st visit) |
| Amir Mohammadi | University: University of California, San Diego | Country: | Arrival and Departure: Nov 15 - Nov 28 (2nd visit) |
| Joel Moreira | University: University of Warwick | 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 7 - Dec 11 |
| Tuomas Orponen | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Sep 1 - Oct 17 (1st visit) |
| Tuomas Orponen | University: University of Jyväskylä | Country: | Arrival and Departure: Nov 15 - Nov 20 (2nd visit) |
| Wenyu Pan | University: University of Toronto | Country: Canada | Arrival and Departure: Nov 15 - Dec 11 |
| Ariel Rapaport | University: Technion – Israel Institute of Technology | Country: Israel | Arrival and Departure: Sep 15 - Sep 30 |
| Florian Richter | University: École polytechnique fédérale de Lausanne (EPFL) | Country: Switzerland | Arrival and Departure: Sep 1 - Sep 30 |
| 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 1 - Sep 19 (1st visit) |
| Pablo Shmerkin | University: University of British Columbia | Country: Canada | Arrival and Departure: Sep 27 - Oct 17 (2nd visit) |
| Pablo Shmerkin | University: University of British Columbia | Country: Canada | Arrival and Departure: Oct 31 - Nov 20 (3rd visit) |
| Olof Sisask | University: Stockholm University | Country: Sweden | Arrival and Departure: Sep 2 - Dec 11 |
| Yotam Smilansky | University: University of Manchester | Country: United Kingdom | Arrival and Departure: Oct 17 - Oct 24 |
| Boris Solomyak | University: Bar Ilan University | Country: Israel | Arrival and Departure: Nov 8 - Nov 12 |
| Rajula Srivastava | University: University of Wisconsin-Madison | Country: United States | Arrival and Departure: Sep 9 - Nov 8 |
| Lauritz Streck | University: University of Edinburgh | Country: United Kingdom | Arrival and Departure: Sep 2 - Sep 8 (1st visit) |
| Lauritz Streck | University: University of Edinburgh | Country: | Arrival and Departure: Oct 24 - Nov 12 (2nd visit) |
| Lauritz Streck | University: University of Edinburgh | Country: | Arrival and Departure: Nov 13 - Nov 22 (3rd visit) |
| 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 |
| Ville Suomala | University: University of Oulu | Country: Finland | Arrival and Departure: Sep 6 - Sep 20 (1st visit) |
| Ville Suomala | University: University of Oulu | Country: Finland | Arrival and Departure: Oct 4 - Oct 18 (2nd visit) |
| 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 |
| Shunsuke Usuki | University: Keio University | Country: Japan | Arrival and Departure: Oct 1 - Dec 12 |
| Sanju Velani | University: York University | Country: Canada | Arrival and Departure: Nov 22 - Dec 5 |
| Hong Wang | University: Courant Institute of Mathematical Sciences, Institut des Hautes Études Scientifiques | Country: United States | Arrival and Departure: Sep 16 - Sep 25 (1st visit) |
| Hong Wang | University: Courant Institute of Mathematical Sciences, Institut des Hautes Études Scientifiques | Country: United States | Arrival and Departure: Nov 15 - Nov 28 (2nd visit) |
| Barak Weiss | University: Tel Aviv University | Country: Israel | Arrival and Departure: Oct 6 - Oct 21 |
| Meng Wu | University: Hunan University | Country: China | Arrival and Departure: Sep 2 - Nov 30 |
| Shukun Wu | University: Indiana University | Country: United States | Arrival and Departure: Nov 14 - Nov 29 |
| Lei Yang | University: National University of Singapore | Country: Singapore | Arrival and Departure: Nov 15 - Nov 21 |
| Alexia Yavicoli | University: University of British Columbia | Country: Canada | Arrival and Departure: Sep 2 - Sep 13 |
| Guangzeng Yi | University: University of Jyväskylä | Country: | Arrival and Departure: Oct 5 - Oct 11 |
| Joshua Zahl | University: Chern Institute, Nankai University | Country: China | Arrival and Departure: Sep 2 - Dec 11 |
| Dmitrii Zakharov | University: Massachusetts Institute of Technology | Country: United States | Arrival and Departure: Sep 20 - Dec 6 |
| Ruixiang Zhang | University: University of California, Berkeley | Country: United States | Arrival and Departure: Sep 21 - Nov 21 |
| Tamar Ziegler | University: The Hebrew University of Jerusalem | Country: Israel | Arrival and Departure: Nov 15 - Nov 21 |