
Isaiah
Kantor, Arne
Meurman
Vertex operator algebras, infinitedimensional Lie algebras and
the structure of operators on linear superspaces, in particular their rings
of invariants.
Jonas
Månsson
Computer Algebra: Noncommutative Gröbner bases. In particular
the connection between Gröbner bases theory and formal language theory.
Patrik
Nordbeck
Symbolic Computation. Computer Algebra. Groebner bases, SAGBIbases
and related structures.
Gunnar
Traustason
Engel groups and other generalised nilpotent groups. Engel Lie algebras.
Problems of Burnside type.
Victor
Ufnarovski, Hans
Öfverbeck
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.
Karl
Gustav Andersson
Differential equations, microlocal analysis. History of mathematics.
Christer
Bennewitz
Erik
Andersson (PhDstudent)
Inverse spectral theory.
Nils
Dencker
Propagation of singularities and theory of pseudodifferential
operators. Solvability for pseudodifferential operators. Pseudospectra for
semiclassical pseudodifferential operators.
Magnus Fontes
Partial differential equations, harmonic analysis and functional analys. Bioinformatics.
Gudrun
Gudmundsdottir
Approximation of Schrödinger operators and their spectral quantities.
Anders
Holst
(Inverse) scattering theory, spectral theory for differential operators.
Lars
Hörmander
The theory of partial differential equations and that of functions
of several complex variables.
PerAnders
Ivert
Catarina
Petersson (PhDstudent)
Potential theory, variational problems, quasilinear elliptic differential
equations.
Henrik Kalisch
Regularity and wellposedness 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.
Pavel
Kurasov
Marlena Nowazcyk (PhDstudent)
Operator theory, ordinary and partial differential equations, rigorous
mathematical physics. Spectral theory on quantum graphs.
Jonatan Lenells (PhDstudent)
Nonlinear wave equations, water waves
Anders
Melin
Partial differential equations in mathematical physics and inverse
problems in quantum scattering theory. Pseudodifferential calculus and
noncommutative harmonic analysis.
Mario
Natiello
Dynamical systems (Theory and Applications in natural sciences).
Nils
Nilsson
Partial differential equations and theory of analytic functions.
Jaak
Peetre
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, Noninvertible hyperbolic systems with
singularities.
Pelle
Pettersson
Partial differential equations in mathematical physics.
Joerg Schmeling
Dynamical systems and smooth ergodic theory.
AnnaMaria Persson (PhD Student)
Complex analysis, operator theory. Möbius invariant spaces of analytic functions.
Erik Wahlén (PhD Student)
Nonlinear partial differential equations, Mathematical physics.
Amiran
Ambroladze
Machine learning.
Fredrik Andersson
Inverse problems, fast algorithms, computational harmonic analysis.
Olof Barr (PhD Student)
Graph theory, computer vision and machine learning.
Stefan Diehl
Conservation laws with application to continuous sedimentation.
Svetlana Iantchenko (PhDstudent)
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)
Machine learning.
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 (PhDstudents)
Reconstruction, recognition and motion analysis by means of projective
geometry and invariants. Image restoration. Medical applications.
Rikard Bertilsson
Geometry of
multiple views of points, curves and surfaces, stochastic image analysis,
handwriting recognition, and cognitive vision.
Anders
Eriksson (PhD Student), Johan Karlsson
(PhD Student)
Medical image analysis, statistical shape models.
Anders P. Eriksson
Cognitive vision, machine learning.
Magnus Oskarsson
Computer and cognitive vision.
Henrik Stewenius
(PhD Student)
Navigation and Calibration of Autonomous Vehicles using Computer Vision.
Kalle
Åström
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.
Sigmundur
Gudmundsson
Differential geometry: The theory of harmonic maps and harmonic
morphisms between Riemannian, almost Hermitian and Kähler manifolds.
Last edited 30 June 2006.