I am  interested in graph theory, probability, numerical methods for dynamical systems, partial differential equations, stochastic analysis, and randomized algorithms. I am especially fascinated by the synergy of these fields, which often reveals fundamental connections between discrete and continuous mathematical objects. I place significant emphasis on ensuring that my work has societal relevance and generates tangible, practical impact. To date, the most notable contributions of my research have been in the fields of chemistry and materials science. I am also trying to broaden this scope to address challenges within complex societal systems.

Some of my past, current, and future research interests include (in arbitrary order):

• Mathematical foundation for network science
• Random matrices and spectral properties of sparse graphs
• Randomised approximation algorithms
• Random graph representation of nonlinear PDEs
• Percolation problems in random environments
• Parameter inference problems for stochastic differential equations
• Automata and graph grammars
• Dynamical systems that approximately solve NP problems.
• Random graph theory for coalescence, gelation, and phase transitions
• Mathematical aspects of complex systems, including statistical physics view on epidemiology

— Eager to discuss these or similar topics? Please don’t hesitate to contact me. Email usually works best.

Student projects: I’m happy to advise motivated students, preferably on matters I can pretend to be an expert myself. Several suggestions for projects can be found here. If you like interacting with industry, I usually have internship projects that involve the aforementioned topics.

See also: Online Applied Mathematics Seminar, feel free to enquire.

Mathematics of Complexity — a broad research theme at the Mathematical Institute.

µ-Open - an outreach venue for students and by students.

Postdocs

• Rik Versendaal, now faculty at TU Delft

PhD Students

• Mike de Vries
• Jochem Hoogedijk
• Niek Mooij
• Verena Schamboeck (papers, thesis 2020), now a modeller at Austrian Power Grid 
• Yuliia Orlova (papers, thesis 2020), now a postdoc at University of Amsterdam

Master Students

• Yeyang Hu (thesis, 2024)
• Josanne Verheule (thesis 2024, RIVM)
• Hannah Onverwagt (thesis 2023)
• Niels Scholte (thesis 2023, intership at CBS)
• Fleur Slegers (thesis 2023, now PhD at UU)
• Mike de Vries (thesis 2023, now PhD at UU)
• Niek Mooij (thesis 2022, now PhD at UU)
• Camillo Schenone (thesis 2022, paper)
• Andi Lin (thesis 2022,  now PhD at Nijmegen)
• Thomas Bakx (thesis 2022, blog post, now PhD at UU)
• Nynke Brouwer (thesis 2021, data analyst at Moraves)
• Yaïr Hein (thesis 2021, now PhD at UU)
• Frits Verhagen  (thesis 2020, joint supervision with Umut Gürsoy), 
  now PhD at University of Singapore
• Femke Ieperen (thesis 2020, paper 1, paper 2), now developer at Scientific Volume Imaging