Statement on Ukraine and ICM

The board of the Norwegian Mathematical Society and the Norwegian National Committee for Mathematics has on February 27, 2022 issued the following statement concerning the invation of Ukraine and the upcoming ICM and IMU General Assembly:

«Mathematicians in Norway have been looking forward to celebrating mathematics this summer with people from around the world in Saint Petersburg, a city with a long and important tradition in mathematics. We strongly condemn the Russian government’s brutal invasion of Ukraine and we support IMU’s decision not to hold the 2022 International Congress of Mathematicians (ICM 2022)  in Saint Petersburg. 
Our thoughts are with our colleagues and the people in Ukraine suffering from the ongoing war and also with our colleagues and the people in Russia who ar
e protesting against these unlawful actions of their government.»

«Norske matematikere har sett fram til å feire matematikk i sommer sammen med mennesker fra hele verden i Sankt Petersburg, en by med lange og viktige matematiske tradisjoner.  Vi fordømmer på det sterkeste den russiske regjeringens brutale invasjon av Ukraina og vi støtter IMUs avgjørelse om å ikke avholde den internasjonale matematikkongressen i Sankt Petersburg.  
Våre tanker er med våre kolleger og det ukrainske folk som lider under den pågående krigen og også med våre kolleger og alle i Russland som protesterer mot disse ulovlige handlingene begått av deres styresmakter.
»

Yours sincerely,

Hans Z. Munthe-Kaas

President of the Norwegian Mathematical Society

Viggo Brun Prize Winner 2018

The Viggo Brun Prize 2018 is awarded to

Rune Gjøringbø Haugseng

For fundamental contributions to the theory of higher categories, with applications to quantum field theory, representation theory, algebraic geometry, and geometric topology, and for the development of higher Morita theory and enriched ∞-categories.

Rune Haugseng, Viggo Brun Prize Laureate 2018. Photo

Kristian Seip, Finn Faye Knudsen, Rune Haugseng, Ragni Piene
Photo: Helge Skodvin

Full citation

Rune Haugseng (born 1984) is a Norwegian mathematician with BA and MA degrees from Cambridge University. He earned a PhD from Massachusetts Institute of Technology in 2013 with Haynes Miller as supervisor. He has held post-doc positions at the Max Planck Institute for Mathematics in Bonn and at the University of Copenhagen. Starting in the fall of 2019 he will be an associate professor at NTNU.

Haugseng studies higher categories. These are structures that occur in many places in mathematics where some property typically only holds up to (a hierarchy of) equivalences that have to fit together.

As an example, parts of Haugseng’s work give contributions to topological quantum field theories. Quantum field theories associate to space-time (geometry) its state space (algebra) with a time-evolution operator. However, the global structure should be governed by the local information. To make this into a mathematically acceptable theory has proven to be a challenge, keeping mathematicians busy for decades. The problem is that many things interact in a way that yields an enormously complicated system of coherence problems. Parts of Haugseng’s work also have direct connections to derived algebraic geometry where similar phenomena occur.

Among Haugseng’s many important works, there are two monumental contributions: A groundbreaking 140-page joint paper with David Gepner, published in Advances in Mathematics, develops the theory of enriched ∞-categories, and in a 100-page paper in Geometry & Topology, Haugseng solves the central problem of how to construct a higher version of the Morita category of associative algebras, bimodules, and bimodule homomorphisms. Haugseng’s set-up provides a context for factorization homology, a topological variant of Beilinson–Drinfeld’s chiral homology proposed by Jacob Lurie. Given an En algebra (an algebra where commutativity holds up to “level n”) factorization homology gives rise to a topological quantum field theory for n-dimensional manifolds.

Haugseng’s pioneering work provides a platform for realizing several existing strategies for attacking central conjectures. Haugseng himself should be ideally placed to grasp these opportunities.

In addition to developing new theory, Haugseng has also given important contributions by consolidating different competing theories.

In conclusion, Haugseng is an outstanding young mathematician who combines his profound insight with brute mathematical force within an active and highly competitive field.