My research is in algebraic geometry and centers around the moduli spaces of curves and abelian varieties. In particular I would like to understand the cohomology of such spaces and their connection to modular forms.

My research, in close collaboration with a climate researcher, concerns prediction problems related to climate reconstruction, using proxy data (e.g. tree rings) to reconstruct temperature during the past millenium.

My research interests lie in applied probability models and statistical inference for such, in particular epidemic models, networks and applications towards genetics and molecular biology including phylogenetics.

My research interests center around algebraic theories of differential equations, and their use in algebraic geometry, e. g. algebraic D-module theory (how to interpret topology in terms of DE) or asymptotic behaviour of zero-sets of solutions to parameter dependent systems of DE.

My research interests are within probability theory, with emphasis on discrete spatial structures and random graphs. During the last decade there has been a large interest in random graph models aimed at describing various types of complex networks.

My area of research is commutative algebra. I have mainly been concerned with the theory of noetherian rings and modules and made some research on chain conditions, lengths, generating sets of ideals etc.

In my research I like to work in the intersection between inference theory, probability theory and various applications of statistics, in particular genetics, but also insurance mathematics and signal processing.

My main area of research is operator theory, in particular spectral theory and its applications to mathematical physics. My studies have roots in mathematical analysis, especially in the theory of analytic functions, but requires deep knowledge of modern physics.

I am working on various aspects of supersymmetry and their applications. Some of them are unexpected, e.g., EVERY differential equation possesses a supersymmetry (this phenomenon is manifest in terms of Cartan's exterior differential systems). I intend to describe the Lie superalgebras of classical equations of mathematical physics.

My research in computational algebra concerns commutative and non-commutative Gröbner bases, vanishing ideals of points, graded Lie algebras, and Boolean rings.

I work in nonlinear PDEs using tools from functional analysis and dynamical systems. Recently I have been studying problems in spectral theory involving embedded eigenvalues. I have a background in critical point theory and the calculus of variations.

My area of research is mathematical logic, and especially its interaction with constructive aspects of mathematics.

I work on a broad range of problems in applied, theoretical and computational statistics. My theoretical and methodological advances have mainly been in non-parametric curve estimation, statistical inference for stochastic processes and Markov chain Monte-Carlo algorithms. Applied work have focused on the biosciences, ecology in particular.

Main research projects January 2011: 1. Statistical methodology for climate model comparisons, using instrumental and proxy data for the last millenium (cooperation w. staff from the Bert Bolin Centre at SU) 2. Latent factor methods for comparative calibration (cooperation w. U. Feldmann, Univ. of Saarland) 3. Various problems connected with the theory of exponential families

The field of my research is Nonlinear Functional Analysis, in particular, applications of topological and variational methods in functional analysis to nonlinear differential equations. Solutions of certain differential equations correspond to critical points of a functional (usually - though not always - of Euler-Lagrange type).