# Serte Donderwinkel

I am an assistant professor (with a tenure track) in probability theory at the University of Groningen. I am also affiliated with the interdisciplinary centre CogniGron of mathematicians, statisticians, computer scientists and material engineers that aim to improve learning-based cognitive computing with materials-centred systems.

Before that, I was a postdoctoral researcher at McGill University in the research group of Prof. Louigi Addario-Berry, where I was funded by a CRM-ISM Postdoctoral Fellowship. I completed my PhD at the University of Oxford under the supervision of Prof. Christina Goldschmidt, where I was also a Stipendiary Lecturer at St. Hugh's College.

My research is in discrete probability. The common denominator of my projects is that they involve creative sampling procedures that, combined with tools from (stochastic) analysis, allow me to study the large-scale structure of the random tree or graph. No matter whether I am obtaining a large deviations principle, solving a counting problem with the probabilistic method or proving a metric space scaling limit, I always devote most attention to finding a smart way of sampling that unlocks the result that I am after. This approach has allowed me and my coauthors to answer questions in both discrete probability and probabilistic combinatorics, asked by for example Svante Janson, Alex Scott, Colin McDiarmid, Gordon Royle and Paul Erdős. Currently, I am mostly thinking about a fun model for recursive random trees, a new bijection and a new continuous transformation related to Horton-Strahler numbers, the metric space scaling limit of a couple of random tree models, the enumeration of score sequences of tournaments and a large deviations principle for random trees.

s.a. lastname @ rug.nl

You can find me in office 446 in the Bernoulliborg

## Teaching

In term 2b I will be teaching the new graduate course Combinatorial Mathematics B. I will cover various models for random trees and graphs and I will discuss the probabilistic tools needed to study them.

## Want to work with me?

I will be recruiting a PhD student to start in 2024 or early 2025. Do you want to work on discrete probability and do you want to live in one of the best small cities in the world? Or do you know someone suitable? Don't hesitate to get in touch!

You can also contact me if you would like to do a bachelor or master project on a topic related to discrete probability.

## Research

Addario-Berry, L., Donderwinkel, S. and Kortchemski, I. Critical trees are neither short nor fat, 2023, preprint arXiv:2311:06163, 30pp

Balister, P., Donderwinkel, S., Groenland, C., Johnston, T., and Scott, A. Counting graphic sequences via integrated random walks, 2023, preprint arXiv:2301.07022, 43pp

Addario-Berry, L., and Donderwinkel, S., Random trees have height O(√n), 2022, preprint arXiv:2201.11773, 33pp

Addario-Berry, L., Blanc-Renaudie, A., Donderwinkel, S., Maazoun, M., and Martin, J. The Foata–Fuchs proof of Cayley’s formula, and its probabilistic uses, Electron. Commun. Probab. 28: 1-13 (2023), DOI: 10.1214/23-ECP523

Donderwinkel, S., and Xie, Z. Universality for the directed configuration model: metric space convergence of the strongly connected components at criticality, 2021, preprint arXiv:2105.11434, 86pp

Donderwinkel, S. Height process convergence of supercritical Galton-Watson forests, with an application to the configuration model in the critical window, 2021, preprint arXiv:2105.12109, accepted at Advances in Applied Probability, 43pp

## Upcoming events

Probability Seminar Bernoulli institute, February 27 2024, Groningen, Netherlands, invited speaker

Probability Seminar Leiden University, March 7 2024, Leiden, Netherlands, invited speaker

Young European Probabilists, March 2024, Eindhoven, Netherlands, invited speaker

Bellairs workshop on Probability and Combinatorics, March 2024, Holetown, Barbados, invited participant

Dutch Math Congres, April 2024, Lunteren, Netherlands, invited speaker

Dutch Association of Women in Mathematics (EWM-NL) session, April 2024, Lunteren, panel member

IMS-Bernoulli World Congress, August 2024, Bochum, Germany, invited speaker

BIRS-CMI workshop on mathematical foundations of network models and their applications, December 2024, Bangalore, India, organiser

SLMath Program on Probability and Statistics of Discrete Structures, February-May 2025, Berkeley, United States, Research Member

## Theses

The structure of large random graphs, PhD Thesis, August 2022, supervised by Christina Goldschmidt

The ant in the labyrinth, written in April 2018 as part of Part iii of the Mathematics Tripos at the University of Cambridge, supervised by Perla Sousi, primarily based on a paper by Noam Berger, Nina Gantert and Yuval Peres

Stein's method applied to preferential attachment graphs, written in June 2016 as part of BSc in Mathematics at the University of Groningen, supervised by Daniel Rodrigues-Valesin and Aernout van Enter, primarily based on a paper by Nathan Ross