Guillaume Bal

About

Guillaume Bal is a Professor of Applied Mathematics at the University of Chicago, affiliated with the Departments of Statistics and Mathematics. He is also a member of the Committee on Computational and Applied Mathematics (CCAM). His contact information includes an office at 5747 S. Ellis Avenue, Jones 120B, Chicago, IL 60637, USA, with a telephone number of +1 773.702.3813 and an email address at guillaumebal@uchicago.edu. The webpage features a picture of him at Lake Arrowhead and was last modified using a website template by Arcsin. No additional biographical or research details are provided on the page.

Research topics

• Physics
• Combinatorics
• Mathematics
• Quantum mechanics
• Geometry
• Pure mathematics
• Mathematical analysis

Selected publications

• Topological invariants for interface modes

  Communications in Partial Differential Equations · 2022 · 37 citations

  1st authorCorresponding

  This article concerns topologically non-trivial interface Hamiltonians that find many applications in materials science and geophysical fluid flows. The non-trivial topology manifests itself in the existence of topologically protected, asymmetric edge states at the interface between two two-dimensional half spaces. The asymmetric transport is characterized by a quantized interface conductivity. The objective of this article is to compute such a conductivity and show its stability under perturbat…

  DOI

• Topological charge conservation for continuous insulators

  Journal of Mathematical Physics · 2023 · 20 citations

  1st authorCorresponding

  This paper proposes a classification of elliptic (pseudo-)differential Hamiltonians describing topological insulators and superconductors in Euclidean space by means of domain walls. Augmenting a given Hamiltonian by one or several domain walls results in confinement that naturally yields a Fredholm operator, whose index is taken as the topological charge of the system. The index is computed explicitly in terms of the symbol of the Hamiltonian by a Fedosov–Hörmander formula, which implements in…

  DOI

• Complex Gaussianity of Long-Distance Random Wave Processes

  Archive for Rational Mechanics and Analysis · 2025-10-07 · 1 citations

  articleOpen access1st authorCorresponding

  Abstract Interference of randomly scattered classical waves naturally leads to familiar speckle patterns, where the wave intensity follows an exponential distribution while the wave field itself is described by a circularly symmetric complex normal distribution. Using the Itô–Schrödinger paraxial model of wave beam propagation, we demonstrate how a deterministic incident beam transitions to such a fully developed speckle pattern over long distances in the so-called scintillation (weak-coupling)…

  PublisherOA PDFDOI

• Long distance propagation of light in random media with partially coherent sources

  Waves in Random and Complex Media · 2025-04-04 · 1 citations

  article1st author
  PublisherDOI

• Scattering theory of topologically protected edge transport

  Pure and Applied Analysis · 2025-08-06 · 1 citations

  articleSenior author
  PublisherDOI

Recent grants

• From Topological Insulators to Hybrid Inverse Problems

  NSF · $367k · 2019–2023

• Propagation of Stochasticity in PDEs and Hybrid Inverse Problems

  NSF · $350k · 2014–2018

• Partial Differential Equations with random coefficients and Inverse Problems

  NSF · $302k · 2008–2012

Frequent coauthors

• François Monard

  27 shared

• Grégoire Allaire

  École Polytechnique

  23 shared

• Alexandre Jollivet

  Laboratoire de Physique des Plasmas

  21 shared

• Olivier Pinaud

  Laboratoire de Génie Électrique de Grenoble

  19 shared

• Günther Uhlmann

  18 shared

• Yu Gu

  Xiangnan University

  14 shared

• Lenya Ryzhik

  Stanford University

  14 shared

• Kui Ren

  14 shared

Similar researchers at University of Chicago

• Jiajie Chenh-98
• Vladimir Drinfeldh-39
• Victor Ginzburgh-38