Rate My Professor Tuomas Hytönen

Tuomas Hytönen serves as Academy Professor at Aalto University’s Department of Mathematics and Systems Analysis, a position he assumed following his appointment as professor of mathematics in January 2024. Returning to his alma mater—formerly Helsinki University of Technology—he earned his MSc in 2001 and DSc in Mathematics in 2003. His distinguished career includes postdoctoral fellowships at Delft University of Technology (2004-2005) and University of Turku (2005-2006), and progressive roles at the University of Helsinki: researcher (2006-2009), Academy Research Fellow (2010-2011), associate professor (2011-2015), and full professor (2015-2023). In October 2025, he was selected as one of Finland’s new Academy Professors by the Research Council of Finland for the term 2026-2031, recognizing his leadership in advancing mathematical research fields.

Hytönen’s research specializes in harmonic analysis, focusing on weighted inequalities for singular integral operators, Calderón-Zygmund operators, non-homogeneous analysis on metric spaces, and commutators. A landmark achievement is his proof of the A2 conjecture in 2010, with results in publications such as “The sharp weighted bound for general Calderón–Zygmund operators” (Annals of Mathematics, 2012) and “Sharp weighted bounds involving A∞” (2013). He co-authored influential monographs “Analysis in Banach Spaces, Volume I” (2016) and “Volume II: Probabilistic Methods and Operator Theory” (2018). Recent works include “Matrix-weighted Besov-type and Triebel–Lizorkin-type spaces” series (2025-2026). His contributions impact areas like quantum mechanics uncertainty principles and PDE solutions. He leads the COCOA project on commutators and compactness (2026-2031) and the FiRST Centre of Excellence in Randomness and Structures (2024-2026), has received the ISAAC Award (2017) and Väisälä Award (2013), and serves on Aalto’s Tenure Track Committee.