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Research at the Department of Mathematics and Statistics

The main research areas at the department are geometry and analysis, probability and statistics.

The Department of Mathematics and Statistics is involved in two Finnish Centre of Excellence of the Academy of Finland and one Flagships of the Academy of Finland.

The Finnish Centre of Excellence in Inverse Problems

The Centre of Excellence in Randomness and Structures

The Flagship of Advanced Mathematics for Sensing, Imaging and Modelling

The Department belongs to significant concentrations of mathematical research both in Finland and abroad. Researchers of the department have obtained European Research Council (ERC) and Research Council of Finland (formerly: Academy of Finland) grants. Strengths in mathematics research are mathematical analysis and its applications in the study of inverse problems. Mathematical analysis has a long tradition in the Department of Mathematics and Statistics, and it is one of the five core research areas of the JYU Faculty of Mathematics and Science. Statistics strengthens the quantitative approach to research in the humanities as well.

matematiikan näyttely — The research is multidisciplinary, from pure mathematics problems to applied modeling.

The main research areas at the Department

Geometry and Analysis

The research of mathematical analysis is concentrated on non-linear partial differential equations, geometric analysis and geometric measure theory.

Probability

Probability theory (or stochastics) is the mathematical theory of randomness.

Statistics

Statistical research at the Department of Mathematics and Statistics includes both theoretical and application-oriented research.

Research groups and projects

Causal models

Causal models research group

Centre of Excellence in Randomness and Structures

An essential part of research into randomness and structures is applications of cutting-edge mathematics in physical sciences as well as statistics.

Centre of Excellence of Inverse Modelling and Imaging

Centre of Excellence of Inverse Modelling and Imaging 2018–2025

Computational statistics and simulation methods

Development of reliable general inference algorithms for large probabilistic models without imposing restrictive modelling assumptions.

Geometric Mapping Theory

Research group on geometric mappings

Geometric measure theory and harmonic analysis

Geometric measure theory and harmonic analysis

Inverse Problems

Inverse problems research concentrates on the mathematical theory and practical implementation of indirect measurements.

Multivariate statistics

Research group for multivariate statistics

Non-smooth Geometry

Nonlinear Partial Differential Equations

Research group for Nonlinear Partial Differential Equations

Stochastic Analysis and SDEs

Research group in Stochastic Analysis and SDEs

Approximate incidence geometry

Approximate incidence geometry

Development of Research and technology services of Jyväskylä area (RDI-Docking platform)

Hankkeessa kehitetään tutkimus- ja teknologiapalveluita yrityksille yhteistyössä JAMKin ja Business Jyväskylän kanssa.

Incidences on Fractals

Incidences on Fractals

Multi-scale incidence geometry

Multi-scale incidence geometry

Quantitative rectifiability and harmonic measure beyond the Ahlfors-David-regular setting

The project's goal is to study quantitative rectifiability of non-Ahlfors-David regular sets.

Singular integrals, harmonic functions, and boundary regularity in Heisenberg groups

The project's goal is to advance the theory of quantitative rectifiability in the Heisenberg group.

Statistics in ecology: Latent variable models for complex data structures

Statistics in ecology project page

The Flagship of Advanced Mathematics for Sensing, Imaging and Modelling, FAME

The FAME Flagship is built on cutting-edge research in inverse problems.