Hakan Hedenmalm

Håkan Hedenmalm (born August 25, 1961 in Karlstad) is a Swedish mathematician working in harmonic analysis, complex analysis, probability theory and mathematical physics. He earned his PhD from Uppsala University, under Yngve Domar, at the age of 24. Hedenmalm is among the most prolific descendents of the Carleson-Domar swedish school of mathematics.

Career

Hedenmalm has been a pioneer of several modern branches of mathematical analysis. His work opened new directions at the crossroads of complex analysis, harmonic analysis, probability and partial differential equations. In the early stages of his career he has mainly contributed to the development of the theory of Bergman spaces and spaces of Dirichlet series. After 2010, Hedenmalm became interested in complex normal random matrices. His fundamental work in analytic and polyanalytic ensembles, in collaboration with Ameur, Makarov and with his PhD students Haimi and Wennman, launched the foundations of the emerging field of planar random processes. Among his most important contributions to this field is the proof of the universality of the complementary error function kernel, in a joint work with Wennman, where the foliation flow method has been introduced to overcome the limitations of Riemann-Hilbert methods. Also during this period, Hedenmalm developed a new approach to the Klein–Gordon equation, connecting the solutions of this relativistic wave equation to dynamical systems, ergodic theory, and operator theory. This lead, in particular, to the theory of Hyperbolic Fourier series, put forward in collaboration with Montes-Rodríguez and Viazovska. In 1996 he became a professor at Lund University and in 1997 he was elected to KFS, the Royal Physiographic Society in Lund. Later, in 2018, he was elected to DKNVS, the Royal Norwegian Society of Sciences and Letters in Trondheim.

Hedenmalm has collaborated with a number of other mathematicians, in particular with Alexander Borichev, Serguei Shimorin, Kristian Seip, Joaquim Ortega-Cerdà, Danylo Radchenko, Maryna Viazovska, and Nikolai Makarov. Since 2002 he is professor at the Royal Institute of Technology (KTH) in Stockholm.

Selected publications

Distinctions

He received the Wallenberg Prize in 1992, and in 1996 he was invited speaker at 2ECM (second European Congress of Mathematicians) in Budapest.

In 2000 he received the Göran Gustafsson Prize (KVA). In 2015, he received the Eva and Lars Gårding Prize from KFS, the Royal Physiographic Society in Lund.