Francesco Brarda

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Bio

I'm a Ph.D. student in Computational Mathematics at Emory University. I work at the intersection of numerical methods and machine learning, focusing on ways to make solvers for partial differential equations faster and more efficient. I'm especially interested in scientific machine learning, numerical PDEs, numerical linear algebra, and anything that mixes math with real-world applications.
Before grad school, I worked in France and Spain on parallel computing and mesh adaptation. Outside of math, I enjoy baking and playing volleyball.

Education

Positions

Research

Publications

  1. Preconditioning Via Spectral Density Driven Graph Neural Networks. F. Brarda, T. Xu, V. Kalantzis, R. Li, Y. Xi. In preparation.
  2. Attentive Graph Neural Preconditioning Methods for SPD Matrices. F. Brarda, Z. Zhang, V. Kalantzis, R. Li, Y. Xi. In preparation.
  3. Spectral-Refiner: Fine-Tuning of Accurate Spatiotemporal Neural Operator for Turbulent Flows. S. Cao, F. Brarda, R. Li, Y. Xi. 13th International Conference on Learning Representations (ICLR 2025).

Invited Talks

  1. Efficient Hybrid Spatial-Temporal Operator Learning. SIAM Student Seminar, GATech, Atlanta, GA. March 29, 2024.
  2. Development of a Massively Parallel Remeshing Code for Exascale Geometries. MICROCARD Workshop, Bordeaux, France. July 6-7, 2022.

Contributed Talks

  1. Efficient Hybrid Spatial-Temporal Operator Learning. 2024 SIAM Conference on Mathematics for Data Science. Atlanta, GA, USA. October 21-25, 2024.
  2. Efficient Hybrid Spatial-Temporal Operator Learning. International Conference On Preconditioning Techniques For Scientific and Industrial Applications. Atlanta, GA, USA. June 10-12, 2024.
  3. Efficient Hybrid Spatial-Temporal Operator Learning. 18th Copper Mountain Conference on Iterative Methods, Copper Mountain, CO. April 14-19, 2024.
  4. Numerical Simulation of Pesticide Spray Distribution by UAV for Precision Agriculture. COMSOL Conference 2020 Europe. (held virtually) Grenoble, France. October 14-15, 2020.

Teaching

Instructor

Emory University

Teaching Assistant

Emory University

Outreach