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representation theory
We talk to Helge Holden, Chair of the Abel Prize Committee, about this year's winner, the prize itself, and the mathematician whose name it carries.
The Abel Prize 2025 has been awarded to Masaki Kashiwara for contributions to algebraic analysis and representation theory. Find out what this means with our article!
In this episode mathematician Jessica Fintzen, winner of a prestigious EMS Prize, tells us how to capture infinitely many snowflakes at the same time, the maths of symmetry, and why she likes doing handstands.
What exactly do we mean when we say group theory is the study of symmetry? Group actions make precise what it means for a group to act by symmetries on an object.
Explore the mathematical study of symmetry with this collection of content, which includes short introductions, in-depth articles, a podcast, and some magic!
What is group theory and why is it such an exciting area of maths? Two experts explain.
Groups occur all over mathematics, so it makes sense to find a common language to talk about them all.
Results in mathematics come in several flavours — theorems are the big important results, conjectures will be important results one day when they are proved, and lemmas are small results that are just stepping stones on the way to the big stuff. Right? Then why has the Fields medal just been awarded to Ngô Bào Châu for his proof of a lemma?
Results in mathematics come in several flavours — theorems are the big important results, conjectures will be important results one day when they are proved, and lemmas are small results that are just stepping stones on the way to the big stuff. Right? Then why has the Fields medal just been awarded to Ngô Bào Châu for his proof of a lemma?