Department of Mathematics
KTH
Lindstedtsvägen 25
100 44 Stockholm
Email: tobergg at kth dot se
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 .
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, M. Nicoletti and M. Russkikh. Perfect t-embeddings and lozenge tilings, arXiv preprint, 2024. arXiv: 2408.05441 [math.PR].
[arXiv]
T. Berggren and A. Borodin. Geometry of the doubly periodic Aztec dimer model, arXiv preprint, 2023. arXiv: 2306.07482 [math.PR].
[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.
