Antoine Dahlqvist




University
of Sussex,
School of
Mathematical and Physical Sciences,
Pevensey
3 Building,
Brighton,
UK
Email: a.dahlqvist@sussex.ac.uk
Office: 5 C27

Research interest:
Probability, Random matrices, two dimensional YangMills measure, free
probability, stochastic analysis, statistical mechanics,
combinatorics, representation theory.
Publications and preprints:
 Freeness of type B and conditional freeness for random matrices, with Guillaume Cébron and
Franck Gabriel, arXiv:2205.01926.
 Large N limit of the YangMills measure on compact surfaces II: MakeenkoMigdal equations and planar master field, with T. Lemoine, arXiv:2201.05886.
 Large N limit of YangMills partition function and Wilson loops on compact surfaces, with T. Lemoine, arXiv:2201.05882.
 Integer moments of complex Wishart matrices and Hurwitz
numbers, with F.D. Cunden and N. O'Connell, in Ann.
de l'inst. Poincaré D Combinatorics, arXiv:1809.10033.
 Freeness over the diagonal for large random matrices, with
A. Benson, G. Cébron, F. Gabriel and C. Male, in
Ann. of Probability, arXiv:1805.07045.
 YangMills measure and the master field on the sphere, with
James Norris, Commun.
Math. Phys. 2020, arXiv:1703.10578.
 The parabolic Anderson model on Riemann surfaces, with
Joscha Diehl and Bruce Driver, Probability
Theory and Related Fields, arXiv:1702.02965.
 The generalized master fields, with Guillaume Cébron and
Franck Gabriel, Journal
of
Geometry and Physics, arXiv:1601.00214.
 Universal constructions for spaces of traffics, with
Guillaume Cébron and Camille Male, arXiv:1601.00168.
 The spectral edge of unitary Brownian motion, with Benoit
Collins and Todd Kemp, Probability
Theory
and Related Fields, arXiv:1502.06186.


 The strong interaction limit of continuoustime weakly
selfavoiding walk, with D.C. Brydges and G. Slade, in Probability
in
Complex Physical Systems: In Honour of Erwin Bolthausen and
Jürgen Gärtner, eds. JD. Deuschel et al., Springer
Proceedings in Mathematics 11:275287, (2012).
PhD Studentship:
A PhD Studentship on the above topics is currently available at the University of Sussex. Students with a strong background in Probability, Combinatorics or Geometry will be considered. Enquiries can be sent at the above email address.
Teaching:
PhD Thesis:
Supervised by Thierry Lévy
in LPMA, Paris 6,
defended in February 2014,
Math seminars at Sussex:
I am coorganising the Mathematical Physics seminar taking
place fortnightly during terms in Pev III 5C11.
Conferences:
 Brighton, Sussex U., September 1719 2019: Probability,
Mathematical Physics and Applications ,
organised together with Nick Simm and Minmin Wang.
 Dublin, UCD, June 1822 2018:
Randomness
and Symmetry, organised together with Fabio
Deelan Cunden and Neil O'Connell.
 Together with G. Cébron, F.
Gabriel and C. Male, we organized the conference Distribution
symmetries and independances, taking place at Bordeaux
U. on November 16 & 17 2017.
Collaborators:
Benson Au,
David Brydges, Guillaume
Cébron, Benoît Collins,
Fabio Deelan
Cunden, Joscha
Diehl, Bruce
Driver, Franck
Gabriel, Todd
Kemp, Thibaut Lemoine,
Camille Male,
James Norris, Neil O'Connell,
Gordon Slade
Other Links: