I'm an associate professor of mathematics in the Information and Communication Technology group in the Department of Computer Science, Electrical Engineering and Mathematical Sciences of the Western Norway University of Applied Sciences.

## Interests

My main interests are:

- Machine Learning, Deep Learning and Bayesian Statistics
- Functional programming, certified programming and type theory (Haskell, Coq)
- Scientific Computing, Geometric Integration

## Research

The main themes of my research so far has revolved around the integration of differential equations (ODEs or PDEs) on manifolds.

There are four themes on which I have particularly focused on:

**Structure preservation**How to preserve the differential invariant (volume, symplectic), first integrals (energy), fixed points, periodic orbits, of constrained systems?**Symmetries**Manifolds are often endowed with a natural symmetry: how can integrators respect that symmetry? A particularly important case is that of*affine symmetries*, related to scaling invariance and the anisotropy problem.**Constraint reduction**A combination of differential equations and algebraic equations leads to a reduction algorithm to obtain a differential equation on a manifold: does the reduction halt? how does the integrator preserve the underlying manifold?**Software development**Development, packaging and distribution of scientific computing software.