I am interested in graph theory and probability, numerical methods for dynamical systems, partial differential equations, stochastic analysis and randomised algorithms, which are often combined to give a new insight. I’m especially fascinated when such combinations reveal fundamental connections between discrete and continuous mathematics. I also take a special care that my research is useful for society and creates practical impact. In this respect, most significant impact so far has been made in chemistry and materials science, and I am trying to extend this scope to complex societal systems too.
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
- 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 outrech 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
- Josanne Verheule
- Hannah Onverwagt (thesis 2023)
- Niels Scholte (thesis 2023, intership at CBS)
- Fleur Slegers (thesis 2023, now PhD student at UU)
- Mike de Vries (thesis 2023, now PhD student at UU)
- Niek Mooij (thesis 2022, now PhD student at UU)
- Camillo Schenone (thesis 2022)
- Andi Lin (thesis 2022, now PhD student at RUG)
- Thomas Bakx (thesis 2022, blog post, with Elisa Chisari, now PhD student at the physics department UU)
- Nynke Brouwer (thesis 2021, data scientist at Moraves)
- Yaïr Hein (thesis 2021, now PhD student at UU)
- Frits Verhagen (thesis 2020, joint supervision with Umut Gürsoy),
now PhD Student at University of Singapore - Femke Ieperen (thesis 2020, paper 1, paper 2), now developer at Scientific Volume Imaging