Section 11. Mathematical Physics

Dynamical systems, including integrable systems. Equilibrium and non-equilibrium statistical mechanics, including interacting particle systems. Partial differential equations including fluid dynamics, wave equation, Boltzmann equation and material science. General relativity. Stochastic models and probabilistic methods including random matrices and stochastic (partial) differential equations. Algebraic methods, including operator algebras, representation theory and algebraic aspects of Quantum Field Theory. Quantum mechanics and spectral theory, including quantum chaos. Quantum information and computation. Quantum many-body theory and condensed matter physics. Quantum field theory including gauge theories and conformal field theory. Geometry and topology in physics including string theory and quantum gravity.
Mina Aganagic

UC Berkeley, USA

Also in section 4

Mina Aganagic is a Professor of Mathematics and Physics at the University of California, Berkeley.

She applies string theory to problems in pure mathematics, including enumerative geometry, representation theory, geometric Langlands, and knot theory. She is known for the topological vertex approach to enumerative geometry of toric threefolds (joint with Klemm, Marino and Vafa), for refined Chern-Simons theory which conjecturally computes a refined index of knot homology theories (joint with Shakirov), for work with Andrei Okounkov on elliptic stable envelopes, and for her recent work on a unified geometric approach to knot categorification.

Roland Bauerschmidt

University of Cambridge, UK

Roland Bauerschmidt is a Reader in Probability in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. His interests center around probability and analysis and in particular their applications to statistical physics. These include statistical field theory, interacting random walks, stochastic dynamics, and random matrices. He is known for contributions to the renormalisation group method. His awards include the IUPAP Young Scientist Award in Mathematical Physics and the Rollo Davidson Prize.
Thierry Bodineau

CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, France

Thierry Bodineau is a CNRS researcher in the Center for Applied Mathematics at the Institut Polytechnique de Paris. His interests include probability theory and its applications to particle systems from statistical mechanics. In particular, he has been working on phase coexistence for the Ising model, non-equilibrium statistical mechanics and kinetic limits for Newtonian dynamics.
Alessandro Giuliani

University of Roma Tre, Italy

Alessandro Giuliani is a Professor of Mathematical Physics at the Department of Mathematics and Physics of the University Roma Tre and a member of the Centro Linceo B. Segre of the Accademia Nazionale dei Lincei.

His research is mainly focused on classical equilibrium statistical mechanics and quantum many-body theory, in particular, on the study of the scaling limit of non-integrable lattice models at their critical point (non-planar Ising, interacting dimers, ...) and the universality of quantum transport coefficients in interacting electron systems (Hubbard model, lattice models of graphene and Weyls semimetals, ...).

Among his recognitions and honors are a 2009 ERC Starting Grant, a 2016 ERC Consolidator Grant, the 2011 A. Di Braccio prize from the Accademia Nazionale dei Lincei, the 2012 IUPAP Young Scientist prize and the B. Finzi prize from the Istituto Lombardo. He is an Editor-in-Chief of J. Stat. Phys. and an Associate Editor of Comm. Math. Phys. and Prob. Math. Phys.

Matthew Hastings

Microsoft Research, USA

Matthew Hastings is a Principal Researcher at Microsoft and an Affiliate Professor of Physics at the University of Washington.

His interests include mathematical physics, quantum information and quantum coding theory as well as quantum algorithms and quantum complexity theory.

In the area of mathematical physics, he is known for the application of Lieb-Robinson bounds to lattice quantum systems, in particular, proving the higher dimensional Lieb-Schultz-Mattis theorem.His other interests include condensed matter physics and statistical physics.

Peter Hintz

ETH Zürich, Switzerland

Survey lecture on recent progress in general relativity

Joint lecture with Gustav Holzegel

Jointly in sections 5, 10

Peter Hintz is a Professor of Mathematics and Physics at the Department of Mathematics at ETH Zürich. His research focuses on partial differential equations arising in the theory of general relativity. In particular, he is known for his proof, joint with András Vasy, of the global nonlinear stability of rotating Kerr-de Sitter black holes. His awards include a Clay Research Fellowship and a Sloan Research Fellowship. His research has also been featured in popular science media including Quanta Magazine, Live Science, and New Scientist.
Gustav Holzegel

University of Münster, Germany

Survey lecture on recent progress in general relativity

Joint lecture with Peter Hintz

Jointly in sections 5, 10

Gustav Holzegel is a member of the Institute of Mathematics in Muenster (Germany), where he holds a Humboldt Professorship. He is also affiliated with

Imperial College London, where he has been a member of staff since 2012. Holzegel’s main interests are the partial differential equations of general relativity.

He is mainly known for his work on black holes and spacetimes with a negative cosmological constant.

His notable distinctions include an ERC Consolidator Grant (2017) and the Whitehead Prize (2016).

Karol Kajetan Kozlowski

ENS de Lyon, CNRS, France

Karol Kajetan Kozlowski is a CNRS researcher at the Laboratoire de Physique of the Ecole Normale Supérieure de Lyon. His interests evolve around the characterisation of correlation functions in quantum integrable systems, the study of universality in low-dimensional models of statistical mechanics and asymptotic analysis in the context of Riemann-Hilbert problems and large deviations.

In particular, he has contributed to the development of techniques of analysis allowing one to rigorously characterize the spectrum and correlation functions of quantum integrable models.

Jonathan Luk

Stanford University, USA

Jonathan Luk is an Associate Professor at the Department of Mathematics at Stanford University.

His research interests include general relativity, partial differential equations and mathematical physics. He is particularly interested in understanding singularities in general relativity.

Yoshiko Ogata

The University of Tokyo, Japan

Yoshiko Ogata is a Professor of Mathematical Physics at the Graduate School of Mathematical Sciences, the University of Tokyo. Her interests include quantum many-body systems, topological phases of matter, quantum equilibrium/non-equilibrium statistical mechanics, quantum information, and operator algebra.
Richard Schwartz

Brown University, USA

Survey lecture on billiards

Jointly in sections 5, 9

Richard Schwartz is the Chancellor’s Professor of Mathematics in the Department of Mathematics at Brown University. His research interests lie in geometry and dynamical systems, especially in the computer-assisted exploration of these topics. In particular, he is known for the proof of quasi-isometric rigidity of rank one lattices, the proof of the Goldman-Parker Conjecture about complex hyperbolic ideal triangle groups, the solution of the Moser-Neumann problem about unbounded orbits of outer billiards, and the solution of Thomson’s 5-electron problem. He was an Invited Speaker at the 2002 International Congress of Mathematicians inBeijing, and has held Sloan, Guggenheim, Clay, and Simons Fellowships. Hisresearch has long been supported by the U.S. National Science Foundation.

His other interests include computer programming, writing children’s books, cycling, yoga, tennis, weight-lifting, and spending time with his family.

Jan Philip Solovej

University of Copenhagen, Denmark

Jan Philip Solovej is a Professor of Mathematics at the Department of Mathematical Sciences, University of Copenhagen. He works in mathematical physics, in particular, in spectral theory and many-body quantum mechanics. Solovej solved the ionization conjecture about the size and maximal negative ionization of atoms in the important Hartree-Fock model. Together with S. Fournais Solovej also established the celebrated Lee-Huang-Yang formula for the energy asymptotics of Bose gases in the dilute limit. The formula had been an open problem in mathematical physics for over 60 years. Solovej is a member of the Danish Royal academy and the Academia Europaea. He heads the center of Excellence for the Mathematics of Quantum Theory (QMATH) at University of Copenhagen. He heldan ERC Advanced Grant and is also a recipient of the Henri Poincare Prize.
Eric Vanden-Eijnden

Courant Institute of Mathematical Sciences/NYU, USA

Lecture on the computational aspects of statistical mechanics

Jointly in sections 12, 15, 18

Eric Vanden-Eijnden is a Professor of Mathematics at the Courant Institute of Mathematical Sciences,New York University. His research focuses on the mathematical and computational aspects of statistical mechanics, with applications to complex dynamical systems arising in molecular dynamics, materials science, atmosphere-ocean science, fluid dynamics, and neural networks. He is also interested in the mathematical foundations of machine learning (ML) and the applications of ML in scientific computing. He is known for the development and analysis of multiscale numerical methods for systems whose dynamics span a wide range of spatio-temporal scales. He is the winner of the Germund Dahlquist Prize and the J.D. Crawford Prize,and a recipient of the Vannevar Bush Faculty Fellowship.
Lauren Williams

Harvard University, USA

Jointly in sections 7, 13

Lauren Williams is the Robinson Professor of Mathematics at Harvard University and the Seaver Professor at the Radcliffe Institute.

Her research is in algebraic combinatorics. More specifically, she uses algebraic tools (cluster algebras, total positivity, tropical geometry) to study discrete structures in mathematics and physics.

She is a recipient of the AWM-Microsoft Research prize and is an honorary member of the London Mathematical Society.

Thu Nov 18 2021 13:36:39 GMT+0300 (Moscow Standard Time)