Isaiah Kantor, Arne Meurman
Vertex operator algebras, infinite-dimensional Lie algebras and the structure of operators on linear superspaces, in particular their rings of invariants.
Computer Algebra: Noncommutative Gröbner bases. In particular the connection between Gröbner bases theory and formal language theory.
Symbolic Computation. Computer Algebra. Groebner bases, SAGBI-bases and related structures.
Engel groups and other generalised nilpotent groups. Engel Lie algebras. Problems of Burnside type.
Computer Algebra: Groebner basis calculations and their applications, calculations of resolution. Combinatorial algebra. Lie algebras: Orthogonal decompositions and groups acting on corresponding lattices. Nilpotency in Lie and associative algebras.
Differential equations, microlocal analysis. History of mathematics.
Erik Andersson (PhD-student)
Inverse spectral theory.
Propagation of singularities and theory of pseudodifferential operators. Solvability for pseudodifferential operators. Pseudospectra for semiclassical pseudodifferential operators.
Partial differential equations, harmonic analysis and functional analys. Bioinformatics.
Approximation of Schrödinger operators and their spectral quantities.
(Inverse) scattering theory, spectral theory for differential operators.
The theory of partial differential equations and that of functions of several complex variables.
Catarina Petersson (PhD-student)
Potential theory, variational problems, quasilinear elliptic differential equations.
Regularity and well-posedness of nonlinear partial differential equations. Existence and stability of solitary waves. Mathematical modeling in fluid mechanics, fiber optics and biology. Scientific computation and the analysis of numerical methods.
Marlena Nowazcyk (PhD-student)
Operator theory, ordinary and partial differential equations, rigorous mathematical physics. Spectral theory on quantum graphs.
Jonatan Lenells (PhD-student)
Nonlinear wave equations, water waves
Partial differential equations in mathematical physics and inverse problems in quantum scattering theory. Pseudo-differential calculus and noncommutative harmonic analysis.
Dynamical systems (Theory and Applications in natural sciences).
Partial differential equations and theory of analytic functions.
Hankel type operators in the context of Hermitean symmetric spaces and, more generally, quite general Hermitean or Kählerian manifolds. Notions of (geometric) quantizations. Fock bundles, theta functions, multilinear forms, study of invariant partial differential equations, invariant theory etc. History of mathematics.
Tomas Persson (PhD Student)
Ergodic theory and dynamical Systems, Non-invertible hyperbolic systems with singularities.
Partial differential equations in mathematical physics.
Dynamical systems and smooth ergodic theory.
Anna-Maria Persson (PhD Student)
Complex analysis, operator theory. Möbius invariant spaces of analytic functions.
Erik Wahlén (PhD Student)
Nonlinear partial differential equations, Mathematical physics.
Inverse problems, fast algorithms, computational harmonic analysis.
Olof Barr (PhD Student)
Graph theory, computer vision and machine learning.
Conservation laws with application to continuous sedimentation.
Svetlana Iantchenko (PhD-student)
Theory and numerics for robust control of linear system with parametric uncertainty.
Jens Nilsson (PhD Student)
Bioinformatics, pattern recognition.
Jakob Sternby (PhD Student)
Shape Analysis and Pattern Recognition with a particular focus on character recognition.
Oskar Wigelius (PhD Student)
Olivier Verdier (PhD Student)
Time periodic solutions of some partial differential equations. Theoretical study and numerical approximations.
Gunnar Sparr, Anders Heyden, Sven Spanne, Fredrik Kahl and
Nicolas Guilbert, Henrik Malm, Charlotte Svensson (PhD-students)
Reconstruction, recognition and motion analysis by means of projective geometry and invariants. Image restoration. Medical applications.
Geometry of multiple views of points, curves and surfaces, stochastic image analysis, handwriting recognition, and cognitive vision.
Eriksson (PhD Student), Johan Karlsson
Medical image analysis, statistical shape models.
Anders P. Eriksson
Cognitive vision, machine learning.
Computer and cognitive vision.
Navigation and Calibration of Autonomous Vehicles using Computer Vision.
Geometry and algebra of multiple views of points, curves and surfaces. Stochastic analysis of low level vision, models of shape variation with
applications to handwriting recognition and medical image analysis, computer vision and machine learning.
Differential geometry: The theory of harmonic maps and harmonic morphisms between Riemannian, almost Hermitian and Kähler manifolds.
Last edited 30 June 2006.