# 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.

For preprints check the 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

- 10.9. 10:15 Jinwoo Sung (Chicago): Loewner energy reversibility revisited – M3 (M234)
The Loewner energy of a chord in a simply connected domain is defined as the Dirichlet energy of the driving function for the corresponding Loewner chain. In a pioneering work, Yilin Wang identified Loewner energy as the large deviation rate function for chordal Schramm--Loewner evolution as the parameter κ decreases to 0. With this interpretation, she deduced from the reversibility of chordal SLE that the Loewner energy or a chord does not depend on reversing its orientation. I will present a deterministic proof of this fact by reversing the chord in small increments, highlighting similarities and differences from Dapeng Zhan's proof of SLE reversibility.

University of Helsinki:

Seminar and workshops in mathematical physics
## The mathematical physics group is supported by

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Page content by: webmaster-math [at] list [dot] aalto [dot] fi