Anders Karlsson

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Mina forskningsintressen ligger inom ergodteori, metrisk geometri, värmekärnor, spektral grafteori, analytisk talteori, gruppteori och deras tillämpningar på andra grenar av matematik och vetenskap, såsom komplex analys, matematisk fysik och djupinlärning.


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Born and raised in Haninge outside of Stockholm, Anders Karlsson studied Engineering Physics at KTH, 1991-1994 and was awarded a Honnörsstipendium and the Gunnar Wallquist studiemedalj upon graduation. With the generous support of the Göran Gustafsson Foundation, the Fulbright Commission, the Sweden-America Foundation, the Foundation Blanceflor, he could then start studies in mathematics at Yale University, eventually under the guidance of G.A. Margulis. Karlsson was awarded an Alfred P. Sloan Dissertation Fellowship in 1999 and received a Ph.D in mathematics from Yale in the year 2000.

After postdoctoral years at the ETH, Neuchâtel, Bielefeld, KTH, Yale, he became a research fellow of the Royal Swedish Academy of Sciences (KVA) based at KTH for a few years. In 2010 he started a position as Associate Professor at University of Geneva that he still holds, and he has been Professor at Uppsala University since 2013 (part-time). Karlsson received the Wallenberg Prize of the Swedish Mathematical Society in 2008, the Edlund Prize from KVA in 2015 and the Gårding Prize from The Royal Physiographic Society of Lund in 2017.

List of doctoral students advised or co-advised: math genealogy

Currently his research is supported by the VR and the Swiss NSF. He is a member of Nationalkommitten för matematik and the lead editor of the research journal L'Enseignement Mathématique.


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My papers and preprints are available here:


Noncommuting random products

Thematic Program on Boundaries and Dynamics, University of Notre Dame, USA, 2015

Stars at infinity and other metric ideas relevant for complex analysis

Workshop INDAM 2021 "Gromov hyperbolicity and negative curvature in complex analysis", Cortona, Italy

Metric Functional Analysis

Seminar on Complex Analysis and allied topics, Rome-Milano-Bologna, 2021

New subadditive and multiplicative ergodic theorems

Ergodic Theory, Fractals, and Groups, Israel Institute for Advanced Studies, 2015

Geometry of deep learning and explainable ML

Workshop at SLMath (MSRI) program Algorithms, Fairness and Equity, Berkeley, 2023

En fixpunkt sats för isometrier

Konferens vid ESI, Wien 2023, "Geometry beyond Riemann: Curvature and Rigidity"


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Anders Karlsson