Department of Mathematics and Systems Analysis

Mathematical Physics

Welcome to the home page of the research group in Mathematical Physics at Aalto University. Our group conducts research in constructive quantum field theories, conformal field theory, random geometry, quantum chaos, dynamics and fractals.

Open positions

(closed on 31.1.2023) Postdoctoral Researchers in the general area of Mathematical Physics / Random Geometry / Conformal Field Theory
(closed on 31.1.2023) Doctoral Researchers in Mathematics, Operations Research, and Statistics

Group members

Faculty

Random geometry and conformal field theory

Dynamical systems and quantum chaos

Tuomas Sahlsten

Full list of members

News

Eveliina Peltola has received an ERC starting grant "Interplay of structures in conformal and universal random geometry" ISCoURaGe (2023-2028)
Tuomas Sahlsten has been appointed as an Academy Research Fellow (Academy of Finland), 2022-2027
Kalle Kytölä and Eveliina Peltola are members of the Finnish Centre of Excellence in Randomness and Structures (FiRST), 2022-2029
Eveliina Peltola has been appointed as an Academy Research Fellow (Academy of Finland), 2021-2025

Prospective students

Research

We provide Bachelor, Master and Doctoral theses topics at the interface between mathematics and physics. Possible research topics include constructive quantum field theories, conformal field theory, random geometry, quantum chaos, dynamics and fractals. If you are interested in one of our research topics, please feel free to contact Kalle Kytölä, Eveliina Peltola or Tuomas Sahlsten.

Teaching

You are also welcome to take part in any of our lecture courses related to mathematical physics

Recent publications

Individual publication records can be found on the Aalto research page.
For preprints check the arxiv and individual homepages.

Scientific events

Upcoming

List of past events

Mathematical Physics Seminar

Upcoming seminars

26.9. 10:15 David Adame-Carrillo (Aalto University): A logCFT on the lattice: Discrete symplectic fermions on double dimers – M3 (M234)
Recently (past 25 years), there has been interest in the (double-)dimer model because of the conformally invariant properties of its scaling limit. Physicists, on the other hand, have proposed this model to be described by a logarithmic Conformal Field Theory (logCFT) of central charge c=−2. In the first half of this talk, I will introduce a discretization of the symplectic fermions a logCFT at c=−2 as observables on the double dimer model. From these observables, I will explain how to build a space of local fields which carries a Virasoro representation of central charge −2. On the second half, I will dive into the logarithmic structure of the representation. In particular, I will show that it contains an L_0 Jordan block of primary fields with conformal weight 0.
3.10. 10:15 Gaétan Leclerc (Sorbonne Universite): – M3 (M234)
3.10. 10:15 Shinji Koshida (Aalto University): TBA – M3 (M234)
TBA
10.10. 10:15 Mikhail Basok (University of Helsinki): TBA – M3 (M234)
TBA