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The College has a distinguished tradition in mathematics.  Recent research of the College mathematicians has centred around algebra, geometry and mathematical aspects of quantum field theory.  There is a strong thematic connection with the work of physicists at the college, including Emeritus Fellow John Cardy and current Senior Research Fellows Michael Teper and Paul Fendley.

Four new mathematicians joined the College in 2015.  Francis Brown and Constantin Teleman took up Senior Research Fellowships, and Erik Panzer and Jørgen Rennemo were elected as Post-Doctoral Research Fellows.

Francis Brown is interested in problems at the intersection of algebraic geometry, number theory, and quantum field theory.  Constantin Teleman’s research revolves around geometric aspects of symmetry and groups, and in particular infinite-dimensional groups and their role in quantum field theory.  Erik Panzer works on perturbative quantum field theory, and Jørgen Rennemo studies derived categories and enumerative questions in algebraic geometry.

The two Emeritus mathematics fellows are active researchers in mathematics: Dan Segal works in group theory and related topics in Lie algebras, commutative algebra and Diophantine decision problems; Graeme Segal’s recent work has mainly been in quantum field theory and geometry.

Former mathematicians holding Post-Doctoral Research Fellowships include: Simon Donaldson, Marcus du Sautoy, and Michael McQuillan.  Visiting Fellows in mathematics have included Jonathan Alperin, Samuel Gitler, Walter Feit, Tony Joseph, Leonard Scott, Avinoam Mann, Aner Shalev, Geoff Robinson, Graeme Wake, Yuri Berest, Martin Barlow, Gus Lehrer, and Steve Smith.