Professor of Mathematics
Senior Research Fellow at All Souls College
Israel Gelfand Chair of mathematics, IHES.
+44 1865 283871
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Irrationality proofs for zeta values, moduli spaces and dinner parties
Moscow Journal of Combinatorics and Number Theory
Zeta elements in depth 3 and the fundamental Lie algebra of the infinitesimal Tate curve
Forum of Mathematics, Sigma
Arithmetic algebraic geometry and quantum field theory.
I am currently working on a `Galois theory of periods' and its applications. Periods are a class of transcendental numbers defined by integrals which includi pi and values of the Riemann zeta function at positive integers. A deep conjecture of Grothendieck predicts the existence of a linear algebraic group acting on such numbers.
Applications include: the study of mixed modular motives (iterated extensions of motives of modular forms) coming from the fundamental group of the moduli space of elliptic curves, and a new Galois group of symmetries of particle-scattering amplitudes in high-energy physics.
Major / Recent Publications:
Deligne, Pierre:`Multizêtas, d'après Francis Brown', Séminaire Bourbaki, Astérisque No. 352 (2013), Exp. No. 1048, viii, 161–185.