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
- 10.12. 10:15 Eric Schippers (University of Manitoba): Faber-Tietz forms and series on Riemann surfaces – M3 (M234)
Faber polynomials are polynomials associated to a conformal map onto a planar domain. It is classical that one can approximate holomorphic functions on the complement of this domain by series of Faber polynomials, and there is a well-developed theory of Faber series in various analytic settings. Results on approximation in the Bergman space norm by Faber series are surprisingly recent and hold precisely for quasicircles. Based on work of H. Tietz, we generalize Faber polynomials and Faber series to compact Riemann surfaces with conformal maps onto quasidisks, and show that one-forms on the complement have a convergent Faber-Tietz series in $L^2$. Joint work with M. Shirazi.
- 11.12. 11:00 Qingxin Yang: Parallel Repetition of Nonlocal Games (MSc thesis presentation) – M2 (M233)
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