Video and Slides

​Here you can find the latest slides and videos of a selection of my talks.

• Epstein's trunction and holography of Loewner energy and Schwarzian action
  Complex faces, Nick Makarov's 70th birthday conference, Venice, Italy, 04.2025
  [slides]
  
  
• Brownian loop measure on Riemann surfaces, length spectra, and determinants of Laplacians
  Northeast Probability seminar, Columbia university, NYC 11.2024
  [slides]
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• Jordan curves with the geodesic property 
  Classical Function Theory in Modern Mathematics, ICMS, Edinburgh, 07.2024
  [video]
  
  
• Introduction and recent developments on the Loewner energy for Jordan curves
  ECM, Seville, Spain 07.2024
  [slides]
  ​
• Shear coordinates of Weil-Petersson circle homeomorphisms
  CIRM, Marseille, France 12.2023
  [video] [slides]
  
  
• Quasiconformal deformation of the Loewner driving function and first variation of the Loewner energy
  Analysis and Geometry of Random Spaces, Jeju Island, Korea​​ 06.2023
  [slides]
  
  
• Holography of the Loewner energy
  Probability seminar, Institut for Advanced Study, Princeton, NJ, USA, 04. 2023
  [video]
  
  
• The Loewner energy at the interface of Random Conformal geometry and Teichmuller theory.
  Lecture series at IHES, 12. 2022
  [video playlist]
  
  
• Interplay between Dirichlet and Loewner energies: cutting-welding operations and foliations by Weil-Petersson quasicircles (Joint talk with Fredrik Viklund)
  One World Probability seminar, 02.2021
  [my slides of part II]  [video]​​
  
  
• Large deviations of multichordal SLE0+, real rational functions, and zeta-regularized determinants of Laplacians 
   Quasiworld Workshop 07.2020  [slides]  
  
  
•  The duality between Loewner energies and foliations by Weil-Petersson quasicircles
  SCGP, Stony Brook 03.2020  [video]
  
  
• Loewner energy via renormalization of Brownian loop measure
  MIT 11.2018  [slides]

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Upcoming events

• January 22, 2026 Colloquium, University of Michigan, USA
• January 26-30, 2026 New interactions between probability and geometry IPAM, UCLA, Los Angeles, CA, USA
• February 1-5, 2026 Bourgain lecture, IAS, Princeton, NJ, USA
• April 4 - 19, 2026 Random Geometry in Math and Physics SCGP, Stony Brook, NY, USA
• April 27 - May 1, 2026 Simons Collaboration on Probabilistic Paths to Quantum Field Theory Annual Meeting, New York, USA
• May 25-29, 2026 SASI conference, NYU Shanghai, China
• June 1-19, 2026 Summer program on the interaction between probability and quantum field theory, Peking University, Beijing, China
• June 29 - July 3, 2026 Random Geometry and Number Theory, Bernoulli Center, Lausanne, Switzerland
• July 6-10, 2026 Random Explorations: From Random Walks to Random Geometry Greg Lawler's 70th Birthday conference, IMSI, Chicago, USA
• August 31 – September 4, 2026 Geometric and Probabilistic Aspects in Quantum Field Theory, CIRM, Luminy, France.
• September 7-8, 2026 Aarhus University
• September 9-14, 2026 University of Helsinki
• February 10 - May 21, 2027 Quantum Fields, Probability, and Geometry​ Institut Mittag-Leffler, Sweden
• June 28–July 2, 2027 Renormalized volume, dynamics, and discrete groups—in honor of Martin Bridgeman's 60th birthday, CIRM, Marseille, France

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Events co-organized

• February 10 - May 21, 2027 Quantum Fields, Probability, and Geometry​ Institut Mittag-Leffler, Sweden
• March 23 – May 1, 2026 Random Geometry in Math and Physics SCGP, Stony Brook, NY, USA
• January 26-30, 2026 New interactions between probability and geometry IPAM, UCLA, Los Angeles, CA, USA
• June 2-6, 2025 Curves, Trees, and Surfaces, Steffen Rohde's 60th birthday conference, Berlin, Germany
• 2022 - 2025 Informal probability and analysis seminar, IHES
• December 13-15, 2021 Quantization days 2.0
• November 05-06, 2020 Quantization days (informal zoom lectures)
• 2019-2022  Probability seminar at MIT

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Past lecture series and mini-courses

1. January 20-25, 2025 Lecture series in Strasbourg, France​
2. January 11-17, 2025 Lecture series, Winter school, Nice, France
3. September 30 - October 2, 2024 Lecture series International Max Planck Research School Combo workshop, MPI Leipzig, Germany
4. May 6-8, 2024 Lecture series, University of Bonn & Max Planck Institute, Bonn, Germany
5. ​December 26-28, 2023 Lecture series at Probability winter school, KIAS, Seoul, South Korea​
6. June 10-June 14, 2023 Lecture series, Probability summer school, BICMR, Peking University, Beijing, China
7. Nov. 30-Dec. 8, 2022 Lecture series, Cours de l'IHES, IHES, Bures-sur-Yvette, France
8. July 31-August 5, 2022 Lecture series Probability summer school, Cornell University, Ithaca, NY, USA
9. September 3-16, 2021 Lecture series, Young mathematician Forum (lectures) AMSS Chinese Academy of Sciences
10. August 16-19, 2021 Lecture series, Online Open Probability School Video and slides available.​
11. July 19-30 2021 Lecture series, Summer Graduate school on Random conformal geometry (video available), MSRI, Berkeley, CA, USA
12. October 2020 Lecture series, Random geometry and Statistical physics (video available)
13. August 2020 Lecture series, Probability webinar, Tsinghua-Peking-Beijing Normal University, China
14. January 2019 Mini-course, Analysis and Geometry of Random Shapes, IPAM, UCLA, USA
15. October 2018 Mini-course, University of Geneva, Switzerland

Past Conference plenary talks

1. August 4-8, 2025 Combinatorial and hyperbolic random planar geometry, CIRM, Marseille, France
2. June 23 - 27, 2025 ​Low dimensional phenomena: geometry and dynamics conference, IHP, Paris, France
3. June 16-18, 2025 Developments in the Mathematical Sciences Symposium​, MPI Leipzig, Germany
4. May 26-27, 2025 Higher rank geometric structures, Higgs bundles and physics, IHP, Paris, France
5. May 19 - 23, 2025 Conference "Random geometry and its connections to QFT" HIM, Probabilistic methods in quantum field theory, Bonn, Germany
6. April 7-11, 2025 Complex Faces, in honor of Nikolai Makarov, Centro Culturale Don Orione Artigianelli Venice, Italy
7. January 28-29, 2025 Géométries aléatoires et applications, ​Collège de France, Paris, France ​
8. January 5-10, 2025 Conference on Complex analysis, Shenzhen, China
9. November 3-16, 2024 Random paths to QFT: new probabilistic approaches to field theory, SCGP, Stony-Brook, USA
10. November 21-22, 2024 Northeast Probability Seminar, Columbia University, New York, NY, USA
11. September 25 - 27, 2024 Fractal Geometry and Stochastics 7 Chemnitz (Saxony), Germany
12. September 3-6, 2024​ Path integrals and friends, Antti Kupiainen's 70th birthday conference, Helsinki, Finland
13. August 19-20, 2024 Workshop on Convexity and 3d Geometry, Luxembourg
14. July 17-19, 2024 Quantum Fields and Probability II, Institute Mittag-Leffler, Sweden​
15. July 15-17, 2024 European Congress of Mathematics, Seville, Spain 
16. July 5-6, 2024 International Congress of Mathematical Physics, Strasbourg, France
17. July 1-5, 2024 Alex Eremenko's birthday conference, Edinburgh, UK​
18. June 24-28, 2024 Summer school in Liverpool, UK
19. May 13-17, 2024 Statistical Physics and Random Surfaces, Oberwolfach, Germany
20. March 18-20, 2024 Surfaces, manifolds, and related topics, University of Luxembourg, Luxembourg
21. March 14-16, 2024 Seminar on Stochastic Processes, Rice University, Houston, TX, USA
22. February 11 - March 13 , 2024 (cancelled participation) Thematic Program on Randomness and Geometry, Fields Institute, Canada​
23. January 4-5, 2024 Finnish Mathematical Days, Aalto University, Finland
24. December 4-8, 2023 Conference on Renormalization in Dynamics, Geometry, and Number Theory, CIRM, Marseille, France
25. October 2-6, 2023 Probability and Geometry in, on and of non-Euclidean spaces, CIRM, Marseille, France
26. September 4-8, 2023 (remote participation) Stochastic Processes and Related Fields, RIMS, Kyoto University, Japan
27. August 14-18, 2023 Quasiworld workshop (Mario Bonk's 60th birthday conference), University of Helsinki, Finland
28. July 31- August 4, 2023 New trends of conformal theory from probability to gravity, OIST, Okinawa, Japan
29. June 5-9, 2023 Analysis and Geometry of Random Spaces, Jeju Island, Korea​​
30. June 1-2, 2023 Teichmüller spaces : from low dimension to infinite dimension, Montpellier, France
31. Oct 30-Nov 5, 2022 Heat Kernels, Stochastic Processes and Functional Inequalities, MFOberwolfach, Germany
32. September 18-25, 2022 Probability and conformal field theory, Agay les roches rouges, France
33. August 8 - August 12, 2022 Quantum Fields and Probability, Institut Mittag-Leffler, Djursholm, Sweden
34. June 28 - July 14, 2022 "Probability and Mathematical Physics" Satellite conference of the ICM 2022, Helsinki, Finland
35. 04.2022 Workshop: The Analysis and Geometry of Random Spaces, MSRI
36. 01.2022 Introductory Workshop: The Analysis and Geometry of Random Spaces, MSRI
37. 12.2021 Probability in Statistical Physics, PIMS, Vancouver (online)
38. 08.2020 Virtual Bozeman workshop (online)
39. 07.2020 Quasiworld workshop, UCLA (online)
40. ​03.2020 Analysis, Dynamics, Geometry and Probability: on the occasion of Chris Bishop’s 60th birthday, Simons center for Geometry and Physics, Stony Brook, USA
41. 08.2019 Modern Aspects of Complex Analysis and Its Applications, in honor of John Garnett's retirement and Don Marshall's 70th birthday. University of Washington, Seattle WA, USA
42. 06.2019 Probability and quantum field theory: discrete models, CFT, SLE and constructive aspects, Porquerolles, France
43. 02.2019 Chaos, Holography and Coadjoint Orbits, University of Geneva, Switzerland
44. 09.2018 Analysis and Probability workshop attached to "CMI at 20" conference, University of Oxford, Oxford, UK
45. 09.2018 5th SwissMAP General Meeting, Grindelwald, Switzerland
46. 08.2018 Workshop on Probability and Analysis, University of Washington, Seattle, WA, USA
47. 07.2018 RGM follow up, Isaac Newton Institute, Cambridge, UK​
48. 06.2018 Random Conformal Geometry and Related Fields, Korea Institute for Advanced Study, Seoul, South Korea
49. 04.2018 Pathwise SLE Meeting, Technische Universität, Berlin, Germany
50. 03.2017 Workshop on SLE, GFF and LQG, Columbia university, New York, NY, USA​
51. 08.2016 Berlin-Oxford Young Researchers Meeting on Applied Stochastic Analysis, Weierstrass Institute, Berlin, Germany
52. 06.2016 Recent developments in SLE, Mittag-Leffler Institute, Djursholm, Sweden

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Selected Seminar Talks

1. January 15, 2026 Geometry and topology seminar, Jussieu, Paris
2. October 20, 2025 Online Geometric and functional inequalities and applications
3. August 30-September 4, 2025 Colloquium at NUS, Singapore
4. May 5, 2025 Ergodic theory seminar, Institut de recherche mathématique  de Rennes, France
5. April 11, 2025 Colloquia Patavina, Padova, Italy
6. April 14 - 15, 2025 ​Analysis seminar, Bocconi university, Milan, Italy
7. March 27, 2025 Geometry and topology seminar, Orsay
8. March 20, 2025 Colloquium at YMSC (online), Beijing, China
9. March 05, 2025 Online talk at Mathematics Colloquium, Institute for Research in Fundamental Sciences, Iran
10. March 04, 2025 Colloquium at Université Paris Dauphine, France
11. December 03, 2024 Probability seminar Cambridge, UK
12. November 7, 2024 Colloquium, Stony-Brook, USA
13. October 23, 2024 Stockholm Colloquium, Stockholm, Sweden
14. August 29, 2024 Online seminar at Great Bay university, China ​
15. June 17, 2024 Stochastic Analysis and Mathematical Finance Seminar, Oxford University, UK
16. April 23, 2024  Séminaire d’analyse et géométrie de l’IMJ-PRG, Paris, France
17. April 19, 2024 Bristol Mathematical physics seminar (online), UK
18. April 02, 2024  Le Séminaire d'analyse harmonique, Université Paris Saclay, Orsay, France
19. January 02, 2024 Seminar talk at KIAS, Seoul, South Korea
20. December 22, 2023 Colloquium Shanghai Jiaotong university, Shanghai, China
21. December 11, 2023 Seminar of mathematical physics, University of Geneva, Switzerland
22. November 30, 2023 Le Séminaire Virtuel Francophone Groupes et Géométrie, Institut Fourier, Grenoble, France
23. September 25, 2023 Séminaires d'analyse, Institut de Mathématiques de Toulouse, Toulouse, France
24. May 4, 2023, China-France Mathematics Talents Class, online talk, University of Science and Technology of China, Hefei, China
25. April 27, 2023, Séminaire de probabilité, Université Paris-Saclay, Orsay, France
26. April 14, 2023, Probability seminar, IAS, Princeton, NJ, USA
27. April 6, 2023, Mathematics Colloquium, University of Connecticut, Storrs, CT, USA
28. April 4, 2023, Geometry and topology seminar, Yale University, New Haven, CT, USA
29. March 31, 2023, Dynamics, Geometry and Moduli Spaces, an informal seminar, Harvard University, Cambridge, MA, USA
30. January 12, 2023, seminar at ISTA, Austria
31. January 11, 2023, Vienna Probability seminar, Universitat Wien, Austria
32. November 25, 2022 Séminaire des probabilités, l'Insititut Fourier, Grenoble, France
33. November 24, 2022 Séminaire de théorie spectrale et géométrie, l'Insititut Fourier, Grenoble, France
34. November 15, 2022 Seminaire de Probabilites, Sorbonne Université​, Paris
35. November 7, 2022 Seminaire de Géométrie et groupes discrets, IHES
36. October 12, 2022 "Flat seminar", Institut Henri Poincare, Paris, France
37. October 10, 2022 Teichmuller theory and related topics, Zoom seminar, China
38. May 9, 2022 MATRIX seminar, MATRIX, Australia
39. April 7, 2022 LA Probability Forum, Caltech, CA, USA
40. March 10, 2022 Hausdorff center for Mathematics, Bonn, Germany
41. February 26 - March 5, 2022 Colloquium, University of Chicago, IL
42. February 23, 2022 Probability seminar, University of California, Berkeley, CA
43. January 31, 2022 Analysis and PDE seminar, University of California, Berkeley
44. Jan 19, 2022 Colloquium, Yale University
45. October 12, 2021 Colloquium, University of Michigan
46. September 28, 2021 CAvid complex analysis online seminar
47. June 10, 2021. Wilhelm Killing Colloquium, University of Muenster, Germany
48. March 16, 2021. Hyperbolic geometry seminar, Graduate center, CUNY
49. February 25, 2021. One World Probability seminar, online.
50. February 9, 2021. SAUCY seminar in stochastic analysis and related topics, online.
51. January 7, 2021. Probability seminar, UC San Diego, online.
52. Decembre 16, 2020. Wharton Statistics Seminar, University of Pennsylvania, USA
53. December 8, 2020. Analysis and PDE seminar, UCLA, USA
54. December 4, 2020. Probability seminar, University of Chicago​, USA
55. November 25, 2020. Seminar at Shanghai center of mathematical sciences, China
56. November 2, 2020. BiSTRO (Billiards and Surfaces à la Teichmüller and Riemann, Online)
57. October 20, 2020. Guest lecture: Topics in Real Analysis: Weil-Petersson curves, traveling salesman theorems, and minimal surfaces, Stony-Brook, USA
58. October 9, 2020. Young Mathematician Lecture Series, National University of Singapore
59. September 30, 2020. Analysis seminar, Michigan State University
60. September 9, 2020. Utah-Arizona Stochastic seminar.
61. 05.2020 Analysis seminar, online MIT, Cambridge MA, USA
62. 01.2020 Séminaire d'analyse et géométrie, University of Pierre Marie Curie, France
63. 11.2019 Rainwater Seminar, University of Washington, Seattle, WA, USA
64. 09.2019 Informal Geometry and Dynamics seminar, Harvard University, Cambridge MA, USA
65. 06.2019 Groupe de travail : Opérateur de Dirac, Université Paris-Sud, Orsay, France
66. 06.2019 Probability Seminar, University of Vienna, Austria
67. 04.2019 Analysis and Probability seminar, Chalmers University of Technology, Gothenburg, Sweden
68. 03.2019 Mathematical Physics seminar, University of Helsinki, Finland
69. 12.2018 Probability Seminar, Beijing University, Beijing, China
70. 11.2018 Probability Seminar, MIT, Cambridge, MA, USA
71. 11.2018 Probability Seminar, Columbia University, New York, NY, USA
72. 06.2018 Complex Analysis Seminar, Fudan University, Shanghai, China
73. 04.2018 Mathematical Physics Seminar, Geneva University, Geneva, Switzerland
74. 03.2018 Probability Seminar, KTH, Stockholm, Sweden
75. 04.2017 Graduate Seminar in Analysis, University of Washington, Seattle, WA, USA
76. 01.2017 Rainwater Seminar, University of Washington, Seattle, WA, USA
77. 11.2016 Stochastic Analysis Seminars, University of Oxford, Oxford, UK
78. 10.2016 Séminaire de Probabilités de Lyon, ENS, Lyon, France
79. 06.2016 Probability Seminar, TU Berlin, Berlin, Germany

Sunrise, Cape Cod, USA