Anders Karlsson
Professor vid Matematiska institutionen; Akademisk personal
- Telefon:
- 018-471 32 26
- E-post:
- anders.karlsson@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
Ladda ned kontaktuppgifter för Anders Karlsson vid Matematiska institutionen; Akademisk personal
Professor vid Matematiska institutionen; Dynamiska system och talteori
- Telefon:
- 018-471 32 26
- E-post:
- anders.karlsson@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
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Kort presentation
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.
Biografi
Denna text finns inte på svenska, därför visas den engelska versionen.
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.
Forskning
Denna text finns inte på svenska, därför visas den engelska versionen.
My papers and preprints are available here:
Media
Noncommuting random products
Thematic Program on Boundaries and Dynamics, University of Notre Dame, USA, 2015
https://www.youtube.com/watch?v=ymc82pSGMvY
Stars at infinity and other metric ideas relevant for complex analysis
Workshop INDAM 2021 "Gromov hyperbolicity and negative curvature in complex analysis", Cortona, Italy
https://www.youtube.com/watch?v=tzV3Sl5d6_k
Metric Functional Analysis
Seminar on Complex Analysis and allied topics, Rome-Milano-Bologna, 2021
https://www.youtube.com/watch?v=5AK304D6nEE
New subadditive and multiplicative ergodic theorems
Ergodic Theory, Fractals, and Groups, Israel Institute for Advanced Studies, 2015
https://www.youtube.com/watch?v=7jGbyVuvjWc
Geometry of deep learning and explainable ML
Workshop at SLMath (MSRI) program Algorithms, Fairness and Equity, Berkeley, 2023
https://player.vimeo.com/video/859592421
En fixpunkt sats för isometrier
Konferens vid ESI, Wien 2023, "Geometry beyond Riemann: Curvature and Rigidity"
https://www.youtube.com/watch?v=w2ZKPSjzhkY
Publikationer
Urval av publikationer
- Deep Limits and a Cut-Off Phenomenon for Neural Networks (2022)
- From linear to metric functional analysis (2021)
- Subadditive and multiplicative ergodic theorems (2020)
- Spectral Zeta Functions Of Graphs And The Riemann Zeta Function In The Critical Strip (2017)
Senaste publikationer
- Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces (2024)
- The resolvent kernel on the discrete circle and twisted cosecant sums (2024)
- A Metric Fixed Point Theorem and Some of Its Applications (2024)
- Volumes of spheres and special values of zeta functions of Z and Z/nZ (2023)
- Deep Limits and a Cut-Off Phenomenon for Neural Networks (2022)
Alla publikationer
Artiklar
- Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces (2024)
- The resolvent kernel on the discrete circle and twisted cosecant sums (2024)
- A Metric Fixed Point Theorem and Some of Its Applications (2024)
- Volumes of spheres and special values of zeta functions of Z and Z/nZ (2023)
- Deep Limits and a Cut-Off Phenomenon for Neural Networks (2022)
- Comments on the cosmic convergence of nonexpansive maps (2021)
- From linear to metric functional analysis (2021)
- Hahn-Banach for metric functionals and horofunctions (2021)
- A natural graph of finite fields distinguishing between models (2021)
- Subadditive and multiplicative ergodic theorems (2020)
- Spectral Zeta Functions Of Graphs And The Riemann Zeta Function In The Critical Strip (2017)