Department of Mathematics and Systems Analysis

Research

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


Full list of members



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.

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, 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

See also this list of international events

List of past 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)

Full list of our seminars


University of Helsinki: Seminar and workshops in mathematical physics 


The mathematical physics group is supported by

 

 

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