Mathematics
The faculty of the department conducts research in mathematics and its applications at an internationally competitive level in four main fields of research: mathematical analysis with applications, discrete mathematics, mathematical modelling as well as technology enhanced learning and information modelling.
The most important research groups in the main fields of research are presented on this page. More information on the activities and achievements of the groups can be found at their home pages.
Mathematical Analysis with Applications
Clifford Analysis
Group leader: Sirkka-Liisa Eriksson
Group homepage
The group is to studying boundary value problems and integral operators, differential equations and function theory in higher dimensions applying geometric algebras as tools. The group has arranged several international summer schools and is active member in the international Clifford algebra and analysis community.
Mathematical Systems Theory
Group leader: Seppo Pohjolainen
Group homepage
Mathematical systems theory is concerned with systems that can be affected by control signals. The system is monitored by output signals. Core topics of research are systems and robust control solutions governed by linear partial differential equations or delay equations, where the properties of control persist regardless of small perturbations in the system’s parameters.
Inverse Problems
Group leader: Mikko Kaasalainen
Group homepage
Application areas include space research, dynamical systems, geophysics, remote sensing, and biomedical imaging. The group collaborates with several international research groups. The research group is part of the Finnish Centre of Excellence in Inverse Problems Research granted by Academy of Finland.
Discrete Mathematics
Algorithms and Computability
Group leader: Keijo Ruohonen
More information
Long-standing broad areas for this research have been algorithmic algebra, especially for groups and semigroups,as well as models and theory of continuous-time computation. Recent more specific research areas are in addition: logic and learning systems, algorithms for availability design and algorithms for recognition of gestures and poses. A coming new research area is quantum computation and its algorithms.
Algebra
Group leader: Stephane Foldes
Group homepage
The research topics involved are mainly within universal algebra, general abstract algebra, combinatorics & discrete optimization. Application topics of interest relate to selected questions of signal processing and physics, as well as operations research and microeconomics. Cooperation is maintained with the logic groups at the University of Tampere and the University of Helsinki.
Logic
Group leader: Esko Turunen
Group homepage
The aim of the group is to promote mathematical research and real world applications of the following non-classical logics: multi-valued logics, fuzzy logic and logic approach to data mining.
Mathematical Modelling
Positioning Algorithms
Group leader: Robert Piché
Group homepage
The group studies the point-position and nonlinear filtering techniques required in modern personal positioning, including Bayesian inference, sequential Monte Carlo methods, (extended) Kalman filters, and numerical integration methods. In addition, the group researches statistical and geometric models pertaining to the problem as well as efficient numerical algorithms for positioning/tracking computations.
Computational Finance
Group leader: Robert Piché
Group homepage
The group develops and studies computer-intensive stochastic models for finance.
Biostatistics
Group leader: Keijo Ruohonen
More information
The main areas for this research are practical statistics for medicine, especially telemedicine, ophthalmology and general practitioning as well as application of stochastic methods for medical measurements and neurochemical modelling.
Kite Power Energy
Group leader: Risto Silvennoinen
Group homepage
The group researches and develops a new type of wind energy generators based on the use of kites.
Technology Enhanced Learning and Information Modelling
Research in hypermedia is conducted by IISLab.
Mathematics Education
Group leader: Seppo Pohjolainen
Mathematics education research group studies and develops the teaching of basic mathematics at Tampere University of Technology (TUT). At TUT every freshman attends Basic Skills’ Test in the beginning of studies. The results are used to focus study supportive actions, for example, Remedial Mathematics Exercise and Mathematics Clinic, for students really needing them. Furthermore, social media enhanced learning solutions, e.g. TUT Circle, are available for all students at TUT.