# Plenary speakers

## Kathryn Hess

EPFL Lausanne, CH

## Nina Holden

ETH Zurich, CH and Courant Institute NY, US

## Daniel Král’

Masaryk University, Brno, CZ

## Finnur Lárusson

Adelaide University, AU

## Jonatan Lennels

KTH Stockholm, SE

## Eveliina Peltola

Aalto University/University of Bonn

## Daniel Peralta-Salas

Instituto de Ciencias Matemáticas, Madrid, ES

## Nathalie Wahl

University of Copenhagen, DK

#### In collaboration with

## Kathryn Hess

EPFL Lausanne, CH

Kathryn Hess received her PhD from MIT in 1989 and held positions at the universities of Stockholm, Nice, and Toronto before moving to the EPFL, where she is currently full professor of mathematics and life sciences. In 2016 she was elected to Swiss Academy of Engineering Sciences and was named a fellow of the American Mathematical Society and a distinguished speaker of the European Mathematical Society in 2017. In 2021 she gave an invited Public Lecture at the European Congress of Mathematicians. She has won several teaching prizes at EPFL.

Kathryn’s research focuses on algebraic topology and its applications, primarily in the life sciences, but also in materials science. In her work in applied topology, she has elaborated methods based on topological data analysis for high-throughput screening of nanoporous crystalline materials, classification and synthesis of neuron morphologies, and classification of neuronal network dynamics. She has also developed and applied innovative topological approaches to network theory, leading to a parameter-free mathematical framework relating the activity of a network of neurons to its underlying structure, both locally and globally.

©Eddy Mottaz / Le Temps

## Nina Holden

Courant Institute, New York University

Nina Holden is Norwegian and took her bachelor and master’s degrees in mathematics at the University of Oslo. After a few years outside academia, she took a PhD in mathematics at the Massachusetts Institute of Technology. Her PhD was under the supervision of Scott Sheffield and was completed in 2018. She was then a postdoc at ETH Zurich, and since fall 2022 she has been an Associate Professor at the Courant Institute at New York University.

Nina Holden works in probability theory and mathematical physics. She is particularly interested in two-dimensional random geometry and conformally invariant random objects. Two objects that play an important role in her research are the random fractal curves known as Schramm-Loewner evolutions and the random surfaces known as Liouville quantum gravity surfaces. These objects arise in a wide variety of settings, particularly in branches of physics such as statistical mechanics and conformal field theory, and they are characterized by natural symmetries which make them particularly canonical.

## Daniel Peralta-Salas

ICMAT, Madrid

Daniel Peralta-Salas (Madrid, 1978) is a senior scientific researcher at the Institute of Mathematical Sciences (ICMAT) in Madrid (Spain). Since 2017 he is the Chair of the Group “Differential Geometry and Geometric Mechanics”. He got a PhD in Mathematical Physics at Complutense University (Madrid, Spain) in 2006, and after postdoctoral positions he joined the ICMAT in 2010. He has published about 90 research articles in high profile journals, such as Annals of Mathematics, Acta Mathematica, or Duke Mathematical Journal, and has been an invited speaker in more than 100 international conferences, seminars, and courses. Among his main distinctions we highlight the Plenary Lecture at the European Congress of Mathematics in 2016 (Berlin, Germany), the Barcelona Dynamical Systems Prize (2015) and the Floer Lectures at the Floer Center of Geometry in 2019 (Bochum, Germany). During the period 2014-2019 he was the PI of the Starting Grant from the European Research Council (ERC) “Invariant manifolds in Dynamical Systems and PDE”.

The research lines of Peralta-Salas concern the connections and interplay between dynamical systems, partial differential equations and differential geometry. This includes different topics in fluid mechanics, spectral theory, conservative dynamics, and geometric analysis. In hydrodynamics and conservative dynamics, he is interested in understanding the Lagrangian complexity of fluid flows and magnetic fields from the topological, dynamical, and computational viewpoints. In spectral theory and geometric analysis, he has worked in the study of nodal sets and critical points of eigenfunctions and Green’s functions. His major contributions in these areas include a proof of the centennial Lord Kelvin conjecture on the existence of steady knotted vortex tubes in the Euler equations, a solution to a problem of Berry on knotted nodal lines of eigenfunctions and the answer to Moore’s speculation on the construction of fluid flows that can simulate a universal Turing machine.