What I do:

I am interested in many aspects of probability theory. I enjoy the rich interplay with other fields such as analysis, geometry or combinatorics. More precisely, my research involves: Brownian motion, random geometry, Liouville quantum gravity, Gaussian free field, SLE, the dimer model, imaginary geometry, branching and coalescing systems and relation to partial differential equations, random walks on graphs and groups, mixing times, connections with representation theory.

My CV is here.

NEWS

01/2026 I will be delivering a keynote talk (Levy lecture) at the next conference on Stochastic Processes and Applications in June 2026 at Cornell University.

12/2025 My book with Ellen Powell on Gaussian free field and Liouville quantum gravity has now been published by Cambridge University Press.

We are organising a programme at the Erwin Schrödinger Institute on Statistical Mechanics and Combinatorics of Discrete Planar Structures, from Sept 14th to Oct 30th, 2026. Please consider participating!

05/2025 I was elected a Fellow of the IMS !

Editorial work:

I am an Associate Editor of

• International Mathematics Research Notices (IMRN)
• Journal de l’Ecole Polytechnique
• Monatshefte für Mathematik
• Mathematical Proceedings of the Cambridge Philosophical Society
• Springer Briefs in Mathematical Physics
• Springer Universitext
• I have also served as an associate editor of Annals of Probability (2018-2023), Electronic Journal of Probability and Electronic Communications in Probability (2015-2020), as well as Annals of applied probability (2016-2021).

Quick links:

• Link to the website of the probability community in Vienna.
• My work is supported by the FWF through the SFB grant on Random Discrete Structures: enumeration and scaling limits, and (until recently) through the stand-alone (individual) grant Scaling limits in random conformal geometry. This support is gratefully acknowledged.
• The Statistical Laboratory of the University of Cambridge, where I was based until 2018, before coming to Vienna.
• I organise the Vienna Probability Seminar, jointly with Mathias Beiglböck at the University of Vienna, Laszlo Erdös and Jan Maas at the nearby IST, and Fabio Toninelli at TU Vienna.

Current group members:

• PhD students: Melda Akyazi, Tomas Alcalde (jointly with Marcin Lis), Jakob Klein.
• Postdocs: Ariane Carrance, William da Silva, Joffrey Mathien, Yizheng Yuan.

ALUMNI:

• Past PhD students: Lucas Teyssier, Diederik van Engelenburg (jointly with Marcin Lis), Mingchang Liu (jointly with Hao Wu), Antoine Jégo, Mo-Dick Wong, Ellen Powell, Henry Jackson, Ed Mottram, Bati Sengul, Lee Zhuo Zhao, Richard Pymar.
• Past postdoctoral associates: Joona Oikarinen (2022-2024), Paul Thévenin (2022-2024), Joonas Turunen (2022-2024), Jonathan Hermon (2017-2019), Wei Qian (2017-2019), Marcin Lis (2017-2018), Gourab Ray (2014-2017), Benoit Laslier (2014-2016), Laure Dumaz (2013-2015), Arnab Sen (2010-2012), Ariel Yadin (2009-2010).
• I also hosted Sasha Glazman (2020-2022) and Marcin Lis (2018-2022) at the University of Vienna. Both had non-TT assistant professor positions with their own groups, including Kieran Ryan (postdoc), Moritz Dober (PhD student).