IHES Annual Report 2020 | 13

Hugo DUMINIL COPIN Mathematics, permanent professor since 2016,

with the support of the chair of excellence of the IDEX Paris-Saclay project, Étude mathématique de modèles classiques et quantiques introduits en physique statistique , and of the ERC CriBLaM.

PUBLICATIONS

With M. Aizenman and S. Warzel Dimerization and Neel Order in Different Quantum Spin Chains Through a Shared Loop Representation Ann. Henri Poincaré 21, 2737-2774 (2020).

With A. Raoufi and V. Tassion Subcritical Phase of d-dimensional Poisson-Boolean Percolation and its Vacant Set Ann. Henri Lebesgue, 3(2020), 677-200.

With S. Goswami and A. Raoufi Decay of Truncated Correlations for the Ising Model in Any Dimension for All but the Critical Temperature Commun. Math. Phys. 374, 891-921, (2020).

With S. Ganguly, A. Hammond and I. Manolescu Bounding the Number of Self-avoiding Walks: Hammersley-Welsh with Polygon Insertion Ann. Probab. 48(4), 1644-1692 (2020).

DISTINCTIONS

Rollo Davidson Prize (joint with Vincent Beffara) (2012) Vacheron Constantin Prize (2012) Oberwolfach Prize (2013) Early Career Award, International Association of Mathematical Physics (2015) European Mathematical Society Prize (2016) New Horizons Prize in Mathematics (2017) Grand Prix Jacques Herbrand, Académie des sciences de Paris (2017) Loève Prize (2017) ERC Starting Grant "Critical Behavior of Lattice Models" (CriBLaM) (2017) Invited Speaker ICM (2018) Dobrushin Prize (2019) Academia Europea, member

Editor of: Communications in Mathematical Physics Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques EMS monographs in Mathematics Inventiones Mathematicae Annals of Probability Probability and Mathematical Physics Publications de l'IHES Duke Mathematical Journal

CONFERENCES

Australia Peter Hall Lecture 2020, The University of Melbourne, (26 February) Counting Self avoiding Walks on a Lattice, from Combinatorics to Physics (colloquium)

United States Mathematical Conversations, Institute for Advanced Study, Princeton (27 May) Emerging Symmetries in 2D Statistical Physics (seminar)

CMI-HIMR Integrable Probability Summer School, Clay Mathematics Institute, Peterborough (27-31 July) An Introduction to the Bethe Ansatz (video conference)

Colloquium UPenn, University of Pennsylvania, Philadelphia (17 September) Self avoiding Walks (video seminar)

AMS Fall Eastern Virtual Sectional Meeting, American Mathematical Society, Providence (3-4 October) Triviality of the 4D Ising Model (video conference)

The 42nd Midwest Probability Colloquium, Northwestern University, Evanston (9-10 October) Triviality of the 4D Ising Model (video conference)

United Kingdom One World Probability Summer School on PDE and Randomness, University of Bath (20-24 June) Triviality of the 4D Ising Model (video conference)

Video conference Percolation Today (22 September) Fractality in the Critical 2D Random cluster Model (video conference)

Percolation Today (15 December) Rotational Invariance of the Critical 2D Random cluster Model (video conference)

HUGO DUMINIL COPIN worked on emerging symmetries in two dimensional models. More precisely, he completed a long program dedicated to the proof of rotation invariance for a large class of planar percolation models at criticality. Hugo Duminil-Copin also spent time deriving scaling relations for these models. These identities enable mathematicians and physicists to link certain critical exponents to each other.

SCIENTIFIC ACTIVITY