Avelio Sepúlveda

Avelio Sepúlveda is an Assistant Professor in the Department of Mathematics at Universidad de Chile, where he has been affiliated since 2021. He previously held a Chair CMM–CNRS fellowship (2020–2021) and completed postdoctoral work at Université Lyon 1 (2017–2020). His education includes a PhD from ETH Zürich (supervised by Wendelin Werner), a Master's from Université d'Orsay, and an Engineering degree from Universidad de Chile.

His research centers on probability theory and statistical physics, with emphases on Gaussian free fields, random planar maps, percolation theory, and topological phase transitions. Key investigations include the structure of 2D Gaussian free fields, scaling limits of decorated planar maps, and dynamic conditioning of Markov processes (myopic conditioning).

His publications (2020–2025) predominantly explore probabilistic geometry, phase transitions, and field theory, with recurring themes in conformal invariance, scaling limits, and lattice models. Notable methodological contributions include novel algorithms for myopic processes and combinatorial characterizations of Markov properties in planar maps.

Awards & Service:

• Chair CMM–CNRS of Excellence for Young Researchers (2020–2021)
• Associate Editor: Electronic Journal of Probability and Electronic Communications in Probability

Advising & Collaborations: He mentors six PhD/Master's students (Pablo Araya, Paul Cahen, Damian Cid, Felipe Espinosa, Pablo Zúñiga, Tomás Laengle) and collaborates extensively with researchers globally, including Christophe Garban (ERC Vortex). He co-organizes the Seminario de Probabilidades de Chile and workshops (e.g., 2025 Topological Phase Transition workshop).