Ilkka
Törmä
Mathematics
University Lecturer, Mathematics
Docent, Department of Mathematics and Statistics
PhD
Contact
Links
Areas of expertise
Symbolic dynamics
Cellular automata
Biography
I am a university lecturer at the Department of Mathematics and Statistics. I obtained my PhD from the University of Turku in 2015. Since then I have worked as a researcher at Boston University (USA), University of Montpellier (France), and now at the University of Turku.
Teaching
I regularly teach courses on Euclidean geometry, linear algebra and the Finnish high school mathematics curriculum for teachers.
Research
I study cellular automata and multidimensional symbolic dynamics, from both dynamical and computational perspectives. In particular, I am interested in the properties of multidimensional SFTs and sofic shifts, and the relations between their different subclasses.
Publications
Generically Nilpotent Cellular Automata (2021)
Russian-Finnish Symposium on Discrete Mathematics
(O2 Muu julkaisu )
Recoding Lie algebraic subshifts (2021)
Discrete and continuous dynamical systems: series a
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))
Fixed point constructions in tilings and cellular automata (2021)
International Workshop on Cellular Automata and Discrete Complex Systems, Open access series in informatics
(Vertaisarvioitu artikkeli konferenssijulkaisussa (A4))
Countable Sofic Shifts with a Periodic Direction (2020)
Theory of Computing Systems
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))
Descriptional Complexity of Winning Sets of Regular Languages (2020)
International Conference on Descriptional Complexity of Formal Systems, Lecture Notes in Computer Science
(Vertaisarvioitu artikkeli konferenssijulkaisussa (A4))
Complexity of Generic Limit Sets of Cellular Automata (2020)
International Workshop on Cellular Automata and Discrete Complex Systems, Lecture Notes in Computer Science
(Vertaisarvioitu artikkeli konferenssijulkaisussa (A4))
Independent finite automata on Cayley graphs (2017)
Natural Computing
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))
A One-Dimensional Physically Universal Cellular Automaton (2017)
Conference on Computability in Europe, Lecture Notes in Computer Science
(Vertaisarvioitu artikkeli konferenssijulkaisussa (A4))
PSPACE-completeness of majority automata networks (2016)
Theoretical Computer Science
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))
Category Theory of Symbolic Dynamics (2015)
Theoretical Computer Science
(Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1))