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.
"Connections between spectral zeta functions of graphs and spaces" - a lecture held at the Summer School: Analysis, Arithmetics and Geometry: Zeta-Functions, Trace Formulas, and Around. Institut Mittag-Leffler, 2023. NOTE: the recorded lectures can be found at the bottom of the page via this link.
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
A fixed point theorem for isometries of metric spaces
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
My papers and preprints are available here:
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