Anders Karlsson
Professor at Department of Mathematics, Dynamical Systems and Number Theory
- Email:
- anders.karlsson[AT-sign]math.uu.se
- Telephone:
- +4618-471 3226
- Visiting address:
- Room
ÅNG 64105 Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Short presentation
My research interests belong to ergodic theory, metric geometry, heat kernels, spectral graph theory, analytic number theory, group theory, and their applications to other branches of mathematics and sciences, such as complex analysis, mathematical physics, and deep learning.
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Noncommuting random products
https://www.youtube.com/watch?v=ymc82pSGMvY
Thematic Program on Boundaries and Dynamics, University of Notre Dame, USA, 2015
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Stars at infinity and other metric ideas relevant for complex analysis
https://www.youtube.com/watch?v=tzV3Sl5d6_k
Workshop INDAM 2021 "Gromov hyperbolicity and negative curvature in complex analysis", Cortona, Italy
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Metric Functional Analysis
https://www.youtube.com/watch?v=5AK304D6nEE
Seminar on Complex Analysis and allied topics, Rome-Milano-Bologna, 2021
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New subadditive and multiplicative ergodic theorems
https://www.youtube.com/watch?v=7jGbyVuvjWc
Ergodic Theory, Fractals, and Groups, Israel Institute for Advanced Studies, 2015
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Geometry of deep learning and explainable ML
https://player.vimeo.com/video/859592421
Workshop at SLMath (MSRI) program Algorithms, Fairness and Equity, Berkeley, 2023
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A fixed point theorem for isometries of metric spaces
https://www.youtube.com/watch?v=w2ZKPSjzhkY
Conference at ESI, Vienna 2023: "Geometry beyond Riemann: Curvature and Rigidity"
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.
My papers and preprints are available here:
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