Mathematics
- Numerical linear algebra (accurate and fast matrix algorithms, solving eigenvalue and singular value problems, perturbation theory, eigenvalue and singular value problems for matrices with elements from noncommutative fields)
- Recompression of tensors in TT format, singular values and vectors of tensors, eigenvalues of the infinite Hamiltonian, mathematical theory of particle interaction in infinite quantum systems, algorithms which use randomized rank-one method, algorithms which use infinite tensor rings
- Operator theory
- Applications: inverse problem for ultrasound image acquisition and analysis, factorizations of matrices with low displacement rank and high spartsity, zeros of polynomials
- Fast optimal damping of oscilating systems Discrete evolutionary model for periodical organisms
Five offices with 4 computers and two workstations, one laboratory (lecture room).