Jan Bouwe van den Berg
استاد · Nonlinear Partial Differential Equations
Vrije University Amsterdamمعرفی
Jan Bouwe van den Berg is Professor of Mathematics and Department Chair at the Department of Mathematics, Faculty of Science, Vrije Universiteit Amsterdam. His research focuses on nonlinear partial differential equations and dynamical systems, particularly pattern formation phenomena. He develops rigorous computational methods combined with topological and variational techniques to analyze complex dynamics.
His educational background includes a PhD in Mathematics from Leiden University (1996-2000) under advisor Bert Peletier, preceded by undergraduate studies in Mathematics and Physics at Leiden University (1991-1996). Prior academic positions include EPSRC Research Fellow at Nottingham University (2001-2002) and Assistant Professor at VU Amsterdam (2003-2006).
Research interests span:
- Nonlinear PDEs and dynamical systems with emphasis on pattern formation
- Topological methods including Conley index and Floer homology
- Computational dynamics and rigorous numerics
- Geometric flows (harmonic map heat flow, Willmore flow)
- Braid theory applications to differential equations
- Variational methods for elliptic and parabolic problems
His publication record shows consistent output in top mathematics journals with recent focus on validated numerics for PDEs and dynamical systems. Key trends include computer-assisted proofs for connecting orbits, rigorous bifurcation analysis, and topological validation of complex patterns. His collaborative work spans institutions including CWI, Leiden University, and international partners.
Teaching responsibilities include Single Variable Calculus, Numerical Methods, and specialized courses like Variational Methods for PDEs. He served as Course Director for Mathematics & Business Analytics (2008-2014) and has taught at Amsterdam University College since 2003.
He leads the Amsterdam Center for Dynamics and Computation, focusing on computational approaches to dynamical systems. Current projects involve validated integration of PDEs, computational Conley-Floer homology, and applications to geometric flows and pattern formation.
