## Interests

### Scientific interests

My active research interests are in many-particle correlations in
many-electron systems out of equilibrium. Apart from that I try to
educate myself on a wide number of other scientific topics.
Here follows a list of interests in different fields of science

#### Physics interests

- Many-body theory for nonequilibrium systems
- Molecular conduction
- Many-electron systems exposed to short laser pulses
- Attosecond response of many-electron systems

- Improvement of many-body methodology
- Nonequilibrium Green Functions (Kadanoff-Baym equations)
- (Time-dependent) density-functional theory (action principles and variational functionals)
- Density matrix functionals (variational functionals)

- Quantum statistical physics
- Renormalization group and phase transitions
- Quantum liquids and superconductivity
- Electron-phonon interactions

- Quantum field theory
- Quantum electrodynamics
- Spin-statistics theorem

- General quantum physics
- Mathematical foundations of the Dirac formalism
- Quantum theory and measurement

- Relativity
- Representation theory of the Poincare group
- General relativity and gravity

#### Chemistry interests

- Electron correlations and chemical bonding in molecules
- Density functional and density matrix theory for molecular dissociation
- Green function theory for molecules

- Molecules in laser fields
- Laser-induced ionization and dissociation
- Coupled electronic and nuclear dynamics

- Electronic transport in molecules
- Nonequilibrium Green function theory for molecules
- Conduction in conjugated polymers

#### Mathematics interests

- Functional analysis
- Calculus in Banach spaces
- Spectral theory of unbounded operators
- Distribution theory and the rigged Hilbert space

- Differential geometry
- Riemannian geometry
- Connections on principal fibre bundles
- Atiyah-Singer index theorem

- Group theory
- Representation theory
- Lie groups
- Group algebras and their representations

- Abstract algebra
- Galois theory
- Clifford algebras and spinors

### Nonscientific interests

My other interests are reading (mainly detectives), travelling and watching speed skating, cycling,
football and the olympics on television. I am further learning Finnish.

#### Writers I enjoy reading

- Henning Mankell
- John Grisham
- Michael Crichton
- Arto Paasilinna