World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
6108
World Ranking
2214
National Ranking
934

Research.com Recognitions

  • 2017 - Fellow of the American Mathematical Society For contributions to inverse problems and wave propagation in random media.
  • 2003 - Fellow of Alfred P. Sloan Foundation

Overview

Guillaume Bal is affiliated with the University of Chicago in the United States, contributing primarily to the field of Physics and Astronomy. Their research spans multiple subfields including Atomic and Molecular Physics, and Optics, Materials Chemistry, Mathematical Physics, Statistical and Nonlinear Physics, and Radiology, Nuclear Medicine and Imaging.

Their work extensively covers topics such as Topological Materials and Phenomena, Graphene research and applications, Quantum many-body systems, Spectral Theory in Mathematical Physics, Advanced Mathematical Modeling in Engineering, Nonlinear Photonic Systems, and Quantum chaos and dynamical systems.

Guillaume Bal has published numerous papers in a variety of academic venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Multiscale Modeling and Simulation
  • SIAM Journal on Mathematical Analysis
  • Communications in Partial Differential Equations
  • Inverse Problems

Recent publications include:

  • Topological invariants for interface modes, 2022, Communications in Partial Differential Equations
  • Topological charge conservation for continuous insulators, 2023, Journal of Mathematical Physics
  • Asymmetric transport computations in Dirac models of topological insulators, 2023, Journal of Computational Physics
  • Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene, 2023, Multiscale Modeling and Simulation
  • Edge State Dynamics Along Curved Interfaces, 2023, SIAM Journal on Mathematical Analysis

Collaboration is a significant aspect of their research process. Frequent co-authors include:

  • Solomon Quinn
  • Zhongjian Wang
  • Anjali Nair
  • Jeremy G. Hoskins
  • Simon Becker

Guillaume Bal has been recognized with professional distinctions such as being named a Fellow of the American Mathematical Society in 2017 for contributions to inverse problems and wave propagation in random media. They were also awarded a Fellowship from the Alfred P. Sloan Foundation in 2003.

Best Publications

  • Inverse transport theory and applications

    Guillaume Bal

  • Inverse diffusion theory of photoacoustics

    Guillaume P. Bal;Gunther Uhlmann

  • A “Parareal” Time Discretization for Non-Linear PDE’s with Application to the Pricing of an American Put

    Guillaume Bal;Yvon Maday

  • Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer

    Kui Ren;Guillaume Bal;Andreas H. Hielscher

  • On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations

    Guillaume Bal

  • Multi-source quantitative photoacoustic tomography in a diffusive regime

    Guillaume Bal;Kui Ren

  • Hybrid inverse problems and internal functionals

    Guillaume Bal

  • Algorithm for solving the equation of radiative transfer in the frequency domain.

    Kui Ren;Gassan S. Abdoulaev;Guillaume Bal;Andreas H. Hielscher

  • On multi-spectral quantitative photoacoustic tomography in diffusive regime

    Guillaume Bal;Kui Ren

  • Reconstruction of Coefficients in Scalar Second-Order Elliptic Equations from Knowledge of Their Solutions

    Guillaume P. Bal;Gunther Uhlmann

  • Time Reversal and Refocusing in Random Media

    Guillaume Bal;Leonid Ryzhik

  • SELF-AVERAGING IN TIME REVERSAL FOR THE PARABOLIC WAVE EQUATION

    Guillaume Bal;George Papanicolaou;Leonid Ryzhik

  • Kinetics of scalar wave fields in random media

    Guillaume Bal

  • Inverse scattering and acousto-optic imaging.

    Guillaume Bal;John C. Schotland

  • Kinetic limits for waves in a random medium

    Guillaume Bal;Tomasz Komorowski;Lenya Ryzhik

  • Quantitative thermo-acoustics and related problems

    Guillaume P. Bal;Kui Ren;Gunther Uhlmann;Gunther Uhlmann;Ting Zhou

  • Stability estimates in stationary inverse transport

    Guillaume Bal;Alexandre Jollivet

  • Central Limits and Homogenization in Random Media

    Guillaume Bal

  • Random integrals and correctors in homogenization

    Guillaume Bal;Josselin Garnier;Sébastien Motsch;Vincent Perrier

  • On the attenuated Radon transform with full and partial measurements

    Guillaume Bal

  • Inverse diffusion from knowledge of power densities

    Guillaume Bal;Eric Bonnetier;François Monard;Faouzi Triki

Frequent Co-Authors

Kui Ren
Kui Ren Zhejiang University
Gunther Uhlmann
Gunther Uhlmann University of Washington
Lenya Ryzhik
Lenya Ryzhik Stanford University
George Papanicolaou
George Papanicolaou Stanford University
Anthony B. Davis
Anthony B. Davis California Institute of Technology
Andreas H. Hielscher
Andreas H. Hielscher New York University
Otmar Scherzer
Otmar Scherzer University of Vienna
Grégoire Allaire
Grégoire Allaire École Polytechnique
Josselin Garnier
Josselin Garnier École Polytechnique

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to various online degrees complementing your analytical skills. Many students explore options such as an MBA to enhance their business acumen alongside mathematical expertise. For those looking to balance education with other commitments, the easiest mba program to get into offers a practical entry point into business management.

Online education continues to grow in popularity, and the easiest online mba degrees provide flexibility and accessibility for math graduates aiming for leadership roles. For those interested in advanced research or academic leadership, pursuing a 1 year dba program online can be an efficient way to gain a Doctorate in Business Administration.

Moreover, finance-related roles are a natural extension for math students. Programs like the cheapest masters in finance provide specialized knowledge that can boost career prospects while managing educational expenses. These pathways showcase the versatility of a Mathematics degree in both academic and professional landscapes.

Best Scientists Citing Guillaume Bal

Trending Scientists