CNRS Junior Professor Chair
email: yvonne.alamabronsard[@]univ-nantes.fr
2 Chem. de la Houssinière, 44322 Nantes, France
My research lies at the frontier of computational mathematics and the analysis of partial differential equations (PDEs). I am interested in obtaining reliable descriptions of the behavior of nonlinear PDEs, with an emphasis on nonlinear wave and dispersive equations, on the discrete level. I develop and analyse novel classes of numerical schemes for deterministic and randomized PDEs with strong geometric properties, which allow a practical implementation.
I currently hold a CNRS Junior Professor Chair (tenure-track) position at the Laboratoire Jean-Leray in Nantes.
Prior to this, I obtained in 2024 an NSF Postdoctoral Fellowship Award taken at MIT with Gigliola Staffilani. I completed my PhD at the Laboratoire Jacques-Louis Lions (Sorbonne Université) in Paris, under the supervision of Katharina Schratz.
In 2025, I received the AWM Dissertation Award and the SMAI–GAMNI PhD Award.
I was born in Canada and completed the bachelor's degree at McGill University in Montréal.
Y. Alama Bronsard, T. Laurens, On the convergence of explicit formulas for L² solutions to the Benjamin–Ono and continuum Calogero–Moser equations (preprint 2026)
arXiv, HAL
Y. Alama Bronsard, Y. Bruned, G. Maierhofer, K. Schratz, Symmetric resonance based integrators and forest formulae.
Foundations of Computational Mathematics (2026)
published, article PDF, arXiv, HAL
Y. Alama Bronsard, X. Chen, M. Dolbeault, Spectrally accurate fully discrete schemes for some nonlocal and nonlinear integrable PDEs via explicit formulas.
Foundations of Computational Mathematics (2026)
published, arXiv, HAL
Y. Alama Bronsard, A unified approach to low-regularity and symmetric time integrators for nonlinear dispersive PDEs.
Chapter in the book Recent Progress on Numerical Analysis for Nonlinear Dispersive Equations,
World Scientific (2025)
Y. Alama Bronsard, A symmetric low-regularity integrator for the nonlinear Schrödinger equation.
IMA Journal of Numerical Analysis (2024),
article PDF, published, arXiv
Y. Alama Bronsard, Y. Bruned, K. Schratz, Approximations of dispersive PDEs in the presence of low-regularity randomness.
Foundations of Computational Mathematics (2024),
article PDF, published, arXiv
Y. Alama Bronsard, Error analysis of a class of semi-discrete schemes for solving the Gross-Pitaevskii equation at low regularity.
J. Comp. App. Math, Volume 418, (2023), p. 114632, 0377-0427.
article PDF, published, arXiv
Y. Alama Bronsard, Y. Bruned, K. Schratz, Low regularity integrators via decorated trees. (preprint 2022)
article PDF, arXiv
Y. Alama Bronsard, J-P Lessard, Traveling wave oscillatory patterns in a signed Kuramoto-Sivashinsky equation with absorption.
J. Comp. App. Math, Volume 372, 112608, (2020)
published
My CV can be found here
PhD manuscript defended May 3rd 2024
Wave-Ned 2026, minisymposium Beyond Integrability, Delft, Netherlands, August 26-28th, 2026
Simons collaboration on Wave Turbulence, New-York, USA, 2-4 December 2026
Société mathématique du Canada (SMC) réunion d'Hiver, Montréal, 11-14 December 2026
Wave-Kinetic Interfaces: Dispersive Dynamics Meets Kinetic Theory, 17-22 January 2027, Oberwolfach, Germany
Singularities & PDEs Representing Natural Phenomena, SLMath, Berkeley, California, 10-28 May 2027
Recorded talk at the Bernoulli center EPFL, during the workshop Probabilistic and deterministic aspects of dispersive equations, October 7th 2024
2025--2026: Instructor in the Department of Mathematics at MIT
Course: Real Analysis (18.100Q), recitation leader for a communication-intensive class
2022--2024: Teaching assistant at Sorbonne Université
Course: Analyse Numérique (LU3MA232), for final-year undergraduates