Research
My primary research interests concern probability theory, stochastic processes, and combinatorics. My work also intersects with a wide variety of combinatorial and applied probability models, including branching processes, coalescent theory, fragmentation theory, Lévy processes, percolation, random trees, random walks, and stochastic population models. These research interests are often motivated by applications to other scientific areas, such as biology, computer science, and physics.
Stochastic processes in combinatorial structures
My interests lie in the application of stochastic process methods to study (random) discrete structures, including trees and, more generally, graphs. Trees are an important class of objects in graph theory and combinatorics as well as a basic object for data structures and algorithms in computer science (these include uniform random recursive trees, scale-free random trees, binary search trees), and graphical representations for genealogical data in biology (for example, Bienaymé-Galton-Watson trees). Recently, I have been particularly interested in topics related to percolation, reduction procedures, and scaling limits of random trees.
Branching processes and interacting particle systems
My aim is to understand the fundamental probability models and stochastic processes that describe the evolution of population models forward and backwards in time. For example, branching processes can be thought of as models for populations of "animals" that breed, die, potentially move around in space, and interact with other "animals". In particular, I am interested in questions concerning the long-term behaviour (such as extinction, survival, and stationarity, etc.) of these population models, as well as the description of their genealogy and the phenomena of coming-down from infinity.
Miscellaneous topics
I am always interested in finding new connections between my main research interests and other areas of probability theory, stochastic processes, combinatorics and even fields outside of mathematics, where one can apply similar models and probabilistic tools.