Yvonne Alama Bronsard's website

Yvonne

ALAMA BRONSARD

NSF Postdoctoral Fellow and Instructor at MIT

email: yvonneab[@]mit.edu

77 Massachusetts Ave, Cambridge, MA 02139, US

Office: Room 2-155

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 obtained in 2024 an NSF Postdoctoral Fellowship Award taken at MIT with Gigliola Staffilani. I was on paid research leave from Fall 2024 to Spring 2025 at the Institut de recherche mathématique de Rennes (IRMAR). In 2025, I received the AWM Dissertation Award, and the SMAI–GAMNI PhD Award.

I completed my PhD at the Laboratoire Jacques-Louis Lions (Sorbonne Université) in Paris, and prior to that, I received a two-years scholarship from the Paris Graduate School of Mathematics (PGSM) to complete a master's program in Paris 6.

I was born in Canada and completed the bachelor's degree at McGill University and l'Université de Montréal.

Preprints and publications

Y. Alama Bronsard, X. Chen, M. Dolbeault, Spectrally accurate fully discrete schemes for some nonlocal and nonlinear integrable PDEs via explicit formulas.
Found. Comput. Math (to appear)
arXiv, HAL

Y. Alama Bronsard, Y. Bruned, G. Maierhofer, K. Schratz, Symmetric resonance based integrators and forest formulae.
Found. Comput. Math (to appear)
article PDF, 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.

Found. Comput. Math. (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

CV & PhD manuscript

My CV can be found here

PhD manuscript defended May 3rd 2024

Upcoming Talks and Conferences

Courant PIs workshop on Wave Turbulence, Courant Institute, 1 - 3 December 2025, New York, USA
Simons Collaboration on Wave Turbulence Annual Meeting, Simons Foundation, 4 - 5 December 2025, New York, USA
CRM-Montréal-Québec Analysis seminar, January 16th 2026, Montréal, Canada
Analysis & PDE seminar at UCLA, February 24th 2026, Los Angeles, USA
Nonlinear Waves: From Theoretical and Computational Advances to Experimental Observations, April 27-May 1 2026, ICERM, Providence, USA
New Challenges in the Derivation and Dynamics of Many Body Systems, May 9-10 2026, MIT, USA
Dispersive integrable equations: pathfinders in Hamiltonian PDE, 15-26 Juin 2026 IHP Paris, France
SciCADE, minisymposium Numerical integration methods via Butcher trees and related algebraic structures, June 29-July 3, 2026, Edinburgh, UK
15th AIMS Conference, minisymposium Models of Fluid Motion, July 6-10, 2026, Athens, Greece

Recorded talk at the Bernoulli center EPFL, during the workshop Probabilistic and deterministic aspects of dispersive equations, October 7th 2024

Teaching

Fall 2025 up to Spring 2027: Instructor in the Department of Mathematics at MIT, USA.
-Fall 2025: Real Analysis 18.100Q

Fall 2022, Fall 2023: I gave tutorials in numerical analysis for the final year undergraduate students at Sorbonne Université, France. The class is entitled : Analyse Numérique- LU3MA232.

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