Department of Mathematics
KTH
Lindstedtsvägen 25
100 44 Stockholm
Email: tobergg at kth dot se
In the fall of 2025, I will begin a tenure-track Assistant Professorship at the University of South Florida.
I am a postdoc at the Royal Institute of Technology (KTH), where I also earned my PhD under Maurice Duits in 2020.
In between I was a postdoc at the University of Michigan and most recently at MIT. At KTH I am part of the Random Matrix Theory and Random Geometry (RMRG) research group.
Here is my most recent CV (August 2025).
My research focuses on asymptotic properties of probabilistic models in mathematical statistical mechanics, with the main focus on dimer models. I employ integrable tools such as orthogonal polynomials, Riemann-Hilbert problems, and Wiener-Hopf factorizations, alongside methods from algebraic geometry and, most recently, from tropical geometry.
Publications and preprints
T. Berggren and M. Russkikh, Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond, arXiv preprint, arXiv: 2508.06697 [math-ph], 2025.
[arXiv]
T. Berggren, M. Nicoletti and M. Russkikh, Perfect t-embeddings of doubly periodic Aztec diamonds, arXiv preprint, arXiv: 2508.04938 [math.PR], 2025.
[arXiv]
T. Berggren and M. Nicoletti, Gaussian Free Field and Discrete Gaussians in Periodic Dimer Models, arXiv preprint, arXiv: 2502.07241 [math.PR], 2025.
[arXiv]
T. Berggren and A. Borodin, Crystallization of the Aztec diamond, arXiv preprint, arXiv: 2410.04187 [math-ph], 2024.
[arXiv]
T. Berggren, M. Nicoletti and M. Russkikh, Perfect t-embeddings and lozenge tilings, arXiv preprint, arXiv: 2408.05441 [math.PR], 2024.
[arXiv]
T. Berggren and A. Borodin, Geometry of the doubly periodic Aztec dimer model, arXiv preprint, arXiv: 2306.07482 [math.PR], 2023. To appear in Commun. Am. Math. Soc..
[arXiv]
T. Berggren, M. Nicoletti and M. Russkikh, Perfect t-embeddings of uniformly weighted Aztec diamonds and tower graphs, Int. Math. Res. Not. IMRN, (7):5963--6007, 2024.
[arXiv, journal]
T. Berggren, Domino tilings of the Aztec diamond with doubly periodic weightings, Ann. Probab., 49(4):1965-2011, 2021.
[arXiv, journal]
T. Berggren and M. Duits, Correlation functions for determinantal processes defined by infinite block Toeplitz minors, Adv. Math., 356:106766, 48, 2019.
[arXiv, journal]
T. Berggren and M. Duits, Mesoscopic fluctuations for the thinned Circular Unitary Ensemble, Math. Phys. Anal. Geom., 20(3):No. 19, 40 pp, 2017.
[arXiv, journal]
Random samples of the Aztec diamond dimer model with doubly periodic edge weights. Examples with finite temperature as well as examples with zero temperature.
The tiling pictures are generated using a program that was kindly provided by Sunil Chhita. For 3D pictures of the height function of the Aztec diamond see the following webpage by Alexei Borodin and Matvey Borodin.
