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
- See the general call: Doctoral Researchers in Mathematics, Operations Research, and Statistics
- See the general call; Summer Interns in Mathematics, Operations Research, and Statistics (to be announced soon)
Members
Faculty
Random geometry and conformal field theory
Algebra and geometry of supersymmetric gauge theories
News
- Oscar Kivinen has joined the faculty in Fall 2023
- 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 [Tuomas moved to the University of Helsinki as an Associate Professor in September 2023]
- 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, but are not limited to, constructive quantum field theories, conformal field theory, random geometry, supersymmetric gauge theories, dynamics and fractals. If you are interested in one of our research topics, please feel free to contact Kalle Kytölä, Eveliina Peltola, or Oscar Kivinen.
We also provide Summer Internships for outstanding students. These are advertised in the department's website.
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, where you can also find an overview of
research output for the Mathematical Physics area. For preprints check the
math arxiv and individual homepages.
Scientific events
Upcoming
- Quantization Days 4.0, December 11-13 2023, Online.
- Stochastic Sauna, December 20-21 2023 in Kumpula, Helsinki University.
- Finnish Mathematical Days 2024, January 4-5 2024, Aalto University.
- Twinned Workshop: New Directions in Conformal Field Theory, Hamburg University and Fields Institute, March 18-22, 2024.
- IPAM Semester Program "Geometry, Statistical Mechanics, and Integrability", Spring 2024
- Probabilistic Field Theories, June 17-19 2024, Aalto University.
- Path integrals and friends: Conference on the interplay between physics, probability, and geometry, 3-6 September 2024 in Helsinki.
- Trimester Program Probabilistic methods in quantum field theory @ HIM, Bonn, May-Aug 2025
See also this list of international events
Mathematical Physics Seminar
Upcoming seminars
- 19.11. 10:15 Konstantin Izyurov (University of Helsinki): Bosonization of the critical Ising correlations – M3 (M234)
I will explain an identity between scaling limits of the Ising correlations in arbitrary finitely connected planar domains, and correlations of a suitable version of a Gaussian free field, yielding explicit formulae for the former. The proof is based on (rigorously established) operator product expansions for the Ising and GFF correlation, and a limiting version of a classical identity between Szegö and Bergman kernel on Riemann surfaces. Joint work with Baran Bayraktaroglu, Tuomas Virtanen and Christian Webb.
- 10.12. 10:15 Eric Schippers (University of Manitoba): TBA – M3 (M234)
University of Helsinki:
Seminar and workshops in mathematical physics
The mathematical physics group is supported by
Page content by: webmaster-math [at] list [dot] aalto [dot] fi
