Status:
Professor of Mathematics
Senior Research Fellow at All Souls College
Israel Gelfand Chair of mathematics, IHES.
Personal website:
+44 1865 283871
ORCID iD:
https://orcid.org/0000-0002-9295-2572
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
Depth-graded motivic multiple zeta values
Compositio Mathematica
issue 3
volume 157
page 529-572
(22 March 2021)
Single-valued integration and super-string amplitudes in genus zero
Communications in Mathematical Physics
issue 2
volume 382
page 815-874
(24 February 2021)
A class of nonholomorphic modular forms II: equivariant iterated Eisenstein integrals
Forum of Mathematics, Sigma
volume 8
(28 May 2020)
From the Deligne-Ihara conjecture to multiple modular malues
RIMS Kôkyûroku
volume 2120
(31 July 2019)
A multi-variable version of the completed Riemann zeta function and other $L$-functions
Profinite Monodromy, Galois Representations and Complex Functions
(22 July 2019)
Research interests:
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.
https://www.quantamagazine.org/20161115-strange-numbers-found-in-particl...