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    • Organisation of the College
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Mathematics

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 Gavin Salam and Paul Fendley.

There are presently three mathematicians in the College. Francis Brown, who works on problems at the intersection of algebraic geometry, number theory, and quantum field and string theory, was elected to a Senior Research Fellowship in 2014. Kyle Pratt, an analytic number theorist, was elected to a Post-Doctoral Research fellowship in 2019. Vladimir Markovic, who works on low dimensional geometry, topology and dynamics; and functional and geometric analysis, was elected to a Senior Research Fellowship in 2020.

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, Fernando Rodriguez-Villegas, David Ben-Zvi and Steve Smith.

Professor Francis Brown
Senior Research Fellow
Professor Francis Brown
PhD
Senior Research Fellow since 2015
Professor of Mathematics, University of Oxford
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Professor Vladimir Markovic
Senior Research Fellow
Professor Vladimir Markovic
FRS
Senior Research Fellow since 2020
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Dr Kyle Pratt
Post-Doctoral Research Fellow
Dr Kyle Pratt
BS, MS, PhD
Post-Doctoral Research Fellow since 2019
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Professor Dan Segal
Emeritus Fellow
Professor Dan Segal
MA, MSc, PhD, DSc
Emeritus Fellow since 2015
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Dr Graeme Segal
Emeritus Fellow
Dr Graeme Segal
BSc, MA, DPhil, FRS
Emeritus Fellow since 2009
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