# Faculty with topics

## Faculty

- Erik Balder retired

Convex analysis and measure theory (in particular variational convergence); game theory and mathematical economics (in particular existence of equilibria). - Erik van den Ban

Lie groups, symmetric spaces, harmonic analysis, representation theory, Radon transforms, differential geometry. - Frits Beukers retired

Number theory (in particular diophantine matters), Arithmetic and monodromy of linear differential equations, hypergeometric functions. - Rob Bisseling

Scientific computing, parallel algorithms, sparse matrix computations, bioinformatics. - Viktor Blåsjö

History of mathematics, especially in the early modern period. - Martin Bootsma

Infectious disease epidemiology. - Henk Bos retired.
- Roelof Bruggeman retired.

Automorphic forms. - Alberto Carrassi

Data Assimilation with applications to the geosciences. - Gil Cavalcanti

Differential geometry and differential topology of symplectic, complex and generalized complex manifolds as well as their applications to string theory. - Leandro Chiarini Medeiros

Probability Theory, Statistical Mechanics, Random Walks, Stochastic Processes, Stochastic Partial Differential Equations, Gaussian Fields. - Gunther Cornelissen

Arithmetic Geometry (and connections with logic, number theory and mathematical physics). - Marius Crainic

Differential geometry (Poisson and symplectic geometry, Lie theory, geometry of PDE's) and noncommutative geometry (cyclic cohomology, K-theory, index theory). - Karma Dajani

Ergodic theory and its application to other fields such as number theory, probability theory and symbolic dynamics. - Fieke Dekkers

Modelling of long term health effects of exposure to ionizing radiation. - Odo Diekmann retired

Mathematical Population Dynamics and Epidemiology of Infectious Diseases; Dynamical Systems, in particular those generated by Delay Equations. - Sjoerd Dirksen

High-dimensional probability theory, mathematical signal processing, compressed sensing, dimensionality reduction methods, probability in Banach space. - Carel Faber

Algebraic geometry (moduli spaces of curves and of abelian varieties, tautological classes, Siegel and Teichmüller modular forms and their relation to the cohomology of moduli spaces, linear orbits of plane curves) - Roberto Fernandez retired.

Probability, mathematical statistical mechanics, stochastic processes, mathematical physics. - Jason Frank

Numerical analysis of ordinary and partial differential equations, geometric numerical integration, mathematical modelling and dynamical systems. - Robert Harry van Gent retired

History of astronomy, mathematics and scientific instruments. - Martin Genzel

High-dimensional probability theory, mathematical signal processing, compressed sensing, inverse problems, machine learning. - Lech Grzelak"

Computational and Quantitative Finance, derivative pricing, quantitative risk management, Monte Carlo simulation, stochastic processes, machine learning. - Lasse Grimmelt

Analytic Number Theory, additive problems in (subsets of) the primes. - Heinz Hanßmann

Dynamical systems. - Gijs Heuts

Algebraic topology, specifically Goodwillie calculus, chromatic homotopy theory, higher category theory and operads. - Mikhail Hlushchanka

Holomorphic and symbolic dynamics, self-similar groups theory, conformal and fractal geometry. - Jan Hogendijk retired

History of mathematical sciences in antiquity, medieval Islamic civilization, medieval Europe, and in the Netherlands. - Wilberd van der Kallen retired.

Algebraic groups, their representations and geometry. - Valentijn Karemaker

Arithmetic geometry and number theory (rational points on, zeta functions of, and Galois representations attached to algebraic varieties). - H. Keers retired.
- Johan A.C. Kolk retired.

Distribution theory and harmonic analysis on Lie groups. - Martijn Kool

Algebraic geometry. Moduli spaces of sheaves on toric varieties. Stable pair invariants and their connections with enumerative geometry. - Ivan Kryven

Mathematical Modeling, Complex Networks, Random Graphs, Statistical Mechanics, Mathematical Chemistry. - Yuri Kuznetsov

Dynamical systems (theory, numerical methods, applications). - Tristan van Leeuwen

Scientific computing, inverse problems, image reconstruction, computed tomography and PDE-constrained optimization. - Johan van de Leur

Lie Theory, Integrable Systems, Mathematical Physics. - Eduard Looijenga retired.

Algebraic geometry (emphasis on Moduli) and also: Hypergeometric Functions, Mapping class groups, Conformal Blocks. - J.G.M. Mars retired.
- Stefano Marseglia

Computational arithmetic geometry and number theory. More precisely, abelian varieties over finite fields and ideal class monoid of orders in number fields. - Lennart Meier

Algebraic topology, moduli of elliptic curves, (topological) modular forms. - Nicolas Michel

History and philosophy of modern mathematics in Western Europe, with a focus on notational technologies and cultural history. - Ieke Moerdijk

Algebraic topology, applications of topology to mathematical logic. - Frans Oort retired.

Algebraic geometry, arithmetic algebraic geometry, moduli of abelian varieties in positive characteristic. - Jaap van Oosten

Logic; realizability, proof theory, topos theory, models of computability. - Kees Oosterlee

Computational finance, quantitative risk management, backward stochastic differential equations (BSDEs), numerical approximation of conditional expectations, Monte Carlo simulation, machine learning in finance, decision making under uncertainty. - Marta Pieropan

Arithmetic geometry (connections with birational geometry, analytic number theory and logic); Diophantine geometry of Fano and rationally connected varieties. - Álvaro del Pino Gomez

Differential topology and geometry, particularly questions regarding the homotopy type of spaces of geometric structures. Mostly h-principle techniques in the context of spaces of tangent distributions (contact structures, Engel structures, foliations with symplectic/contact leafwise structures). - Ehsan Rashidi

Applied Harmonic Analysis, Frame and Wavelet Theory, Dynamical sampling, Deep learning for PDEs. - Gabrio Rizzuti

Large-scale PDE-based inverse problems arising in computational imaging, comprising seismic imaging, non-destructive testing, photoacoustics, and MRI. - Thijs Ruijgrok

Dynamical systems, evolutionary game theory. - Wioletta Ruszel

Probability, interacting particle systems and critical phenomena, self-organized criticality and sandpile models, random interface models, scaling limits. - Palina Salanevich

Applied harmonic analysis and time-frequency analysis, with applications in signal processing problems, such as phase retrieval and quantization; high-dimensional probability theory; signal processing on graphs. - Dirk Siersma retired.

Geometry and Topology (in particular Singularity Theory). - Gerard Sleijpen retired

Scientific computing (in particular numerical linear algebra). - Cristian Spitoni

Statistical mechanics (metastability for lattice spin systems with serial or parallel dynamics); statistics (semi-Markov multi-state models; prediction error for multi-state models); infectious disease epidemiology. - Jan D. Stegeman retired.
- Jan Stienstra retired

Hypergeometric systems; Calabi-Yau and toric varieties; Frobenius operators in various contexts; quivers and dimers; connections with string theory. - Niall Taggart

Algebraic topology, specifically functor calculus, stable and equivariant homotopy theory, model categories and higher category theory. - Lola Thompson

Analytic number theory, and its applications to spectral geometry. - Ferdinand Verhulst retired.

Quantitative analysis and singular perturbations of nonlinear dynamical systems. - Rik Versendaal

Probability and geometry, random graphs, random walks and diffusions, large deviations, time-evolving manifolds. - Henk A. van der Vorst retired.

Numerical Analysis (emphasis on Linear Algebra; Iterative methods for linear systems and eigenvalue problems). - Marieke van der Wegen

Graph theory; graph algorithms. - Steven Wepster

History of Mathematics; special interest in the Dutch Golden Age, and in links with astronomy and navigation. - Shuntaro Yamagishi

Number theory. - Paul Zegeling

Scientific Computing, Numerical Methods for Ordinary and Partial Differential Equations, Adaptive Grid Techniques. - Mingcong Zeng

Algebraic topology, equivariant stable homotopy theory and homotopy theory from the viewpoint of formal groups. - Fabian Ziltener

Symplectic geometry, gauge theory, and partial differential equations.