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Mathematics Faculty with their research interests
PhD students with their topics
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.
Benno van den Berg
Logic, topos theory, set theory, proof theory.
Number theory (in particular diophantine matters), Arithmetic and monodromy of linear differential equations, hypergeometric functions.
Scientific computing, parallel algorithms, sparse matrix computations, bioinformatics.
Infectious disease epidemiology.
Differential geometry and differential topology of symplectic, complex and generalized complex manifolds as well as their applications to string theory.
Arithmetic Geometry (and connections with logic, number theory and mathematical physics).
Differential geometry (Poisson and symplectic geometry, Lie theory, geometry of PDE's) and noncommutative geometry (cyclic cohomology, K-theory, index theory).
Dynamical systems (in particular Hamiltonian and nonholonomically constrained systems); geometry of integrable systems.
Number theory and (explicit) arithmetic geometry. In particular, Diophantine equations and modular forms.
Ergodic theory and its application to other fields such as number theory, probability theory and symbolic dynamics.
Mathematical Population Dynamics and Epidemiology of Infectious Diseases;
Dynamical Systems, in particular those generated by Delay Equations.
Probability, mathematical statistical mechanics, stochastic processes, mathematical physics.
Geometry and topology of PDEs from mathematical physics and differential geometry/topology; Poisson and symplectic geometry, Lie Algebroids and moduli spaces
History of mathematical sciences in antiquity, medieval Islamic civilization, medieval Europe, and in the Netherlands.
Wilberd van der Kallen
Algebraic groups, their representations and geometry.
Combinatorics, graph theory and the probabilistic method.
Ergodic theory and dynamical systems.
Combinatorial optimization and algorithm engineering with applications in bioinformatics and systems biology
Johan A.C. Kolk
Distribution theory and harmonic analysis on Lie groups.
Dynamical systems (theory, numerical methods, applications).
Combinatorics , knot theory, geometry (especially applications of linear algebra), continued fractions.
Johan van de Leur
Lie Theory, Integrable Systems, Mathematical Physics.
Algebraic geometry (emphasis on Moduli) and also: Hypergeometric Functions, Mapping class groups, Conformal Blocks.
Differential geometry: Poisson and symplectic geometry, Lie theory.
Algebraic topology, applications of topology to mathematical logic.
Combinatorics and probability.
Algebraic geometry, arithmetic algebraic geometry, moduli of abelian varieties in positive characteristic.
Jaap van Oosten
Logic; realizability, proof theory, topos theory, models of computability.
Number Theory. In particular, Diophantine equations, rational points on elliptic curves and higher genus curves.
Higher algebraic structures in geometry and mathematical physics; interplay between algebra, geometry and topology, with emphasis on homotopical and categorical methods.
Dynamical systems, evolutionary game theory.
Differential geometry and mathematical physics, in particular Lie groupoids / algebroids, Poisson geometry and supergeometry.
The theory of connections on principal bundles and their generalization to gerbes and principal \u221e-bundles.
Geometry and Topology (in particular Singularity Theory).
Scientific computing (in particular numerical linear algebra).
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
Hypergeometric systems; Calabi-Yau and toric varieties; Frobenius operators in various contexts; quivers and dimers; connections with string theory.
Symbolic dynamical systems, probability and statistical mechanics
Sjoerd Verduyn Lunel
Analysis, Dynamical Systems and Applications.
Quantitative analysis and singular perturbations of nonlinear dynamical systems.
Henk A. van der Vorst
Numerical Analysis (emphasis on Linear Algebra; Iterative methods for linear systems and eigenvalue problems).
has moved to Fiji Islands
Algebraic topology, category and operad theory. In particular simplicial and dendroidal techniques in the study of homotopy invariant algebraic structures.
History of Mathematics; special interest in the Dutch Golden Age, and in links with astronomy and navigation.
Scientific Computing, Numerical Methods for Ordinary and Partial Differential Equations, Adaptive Grid Techniques.
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