Francisco Bersetche

Posición Actual

Current Position

• Investigador AsistenteAssistant Researcher, IMAS, CONICET
• Profesor Adjunto InterinoInterim Adjunct Professor, Departamento de Matemática, FCEyN, UB

Intereses de Investigación

Research Interests

Análisis numérico, métodos de elementos finitos, ecuaciones diferenciales no locales.

Numerical analysis, finite element methods, non-local differential equations.

Educación

Education

• Doctor de la Universidad de Buenos Aires en el área Ciencias Matemáticas Ph.D. in Mathematical Sciences, FCEyN, UBA (2014-2019)
  Tesis: "Métodos numéricos para problemas no locales de evolución".
  Director: G. Acosta Rodríguez. Thesis: "Numerical methods for non-local evolution problems".
  Supervisor: G. Acosta Rodríguez.
• Licenciado en Ciencias Matemáticas B.S. in Mathematics, FCEyN, UBA (2007-2013)
  Tesis: "Una heurística para la generación de mallas de elementos finitos anisotrópicos".
  Director: G. Acosta Rodríguez. Thesis: "A heuristic for the generation of anisotropic finite element meshes".
  Supervisor: G. Acosta Rodríguez.

Publicaciones

Publications

• "A deep first-order system least squares method for the obstacle problem", con G. Acosta, E. Belén y J. P. Borthagaray. with G. Acosta, E. Belén and J. P. Borthagaray. arXiv preprint arXiv:2508.19412. 2025.
• "Generalizing Liquid Democracy to multi-agent delegation: A Voting Weight Measure and Equilibrium Analysis", International Journal of Game Theory. 2025.
• "Fractional, semilinear, and sparse optimal control: a priori error bounds", con F. Fuica, E. Otárola y D. Quero. with F. Fuica, E. Otárola and D. Quero. Applied Mathematics and Optimization, 91(1), 20. 2025.
• "Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization", con F. Fuica, E. Otárola y D. Quero. with F. Fuica, E. Otárola and D. Quero. SIAM Journal on Numerical Analysis, 62, 3, 1344-1371. 2024.
• "A domain decomposition scheme for coupling between local and non-local equations", con G. Acosta y J. D. Rossi. with G. Acosta and J. D. Rossi. Computational Methods in Applied Mathematics. 2023.
• "A deep first-order system least squares method for solving elliptic PDEs", con J. P. Borthagaray. with J. P. Borthagaray. Computers and Mathematics with Applications, 129, 136-150. 2023.
• "Coupling local and nonlocal equations with Neumann boundary conditions", con G. Acosta y J. D. Rossi. with G. Acosta and J. D. Rossi. Revista de la Unión Matemática Argentina, Vol. 65 No. 2. 2023.
• "Local and nonlocal energy-based coupling models", con G. Acosta y J. D. Rossi. with G. Acosta and J. D. Rossi. SIAM Journal on Mathematical Analysis, 54(6), 6288-6322. 2022.
• "Finite element approximation of fractional Neumann problems", con J. P. Borthagaray. with J. P. Borthagaray. IMA Journal of Numerical Analysis, 42(4), 3207-3240. 2022.
• "Numerical approximations for a fully fractional Allen-Cahn equation", con G. Acosta. with G. Acosta. ESAIM: Mathematical Modelling and Numerical Analysis, 55, S3-S28. 2020.
• "Finite element approximations for fractional evolution problems", con G. Acosta y J. P. Borthagaray. with G. Acosta and J. P. Borthagaray. Fractional Calculus and Applied Analysis, 22(3), 767-794. 2019.
• "A short FE implementation for a 2d homogeneous Dirichlet problem of a Fractional Laplacian", con G. Acosta y J. P. Borthagaray. with G. Acosta and J. P. Borthagaray. Computers and Mathematics with Applications, 74(4), 784-816. 2017.

Docencia

Teaching

• 2025 – ActualidadPresent Profesor Adjunto Interino (Dedicación parcial) Interim Adjunct Professor (Part-time)
  Departamento de Matemática, FCEyN, Universidad de Buenos Aires. Mathematics Department, FCEyN, University of Buenos Aires.
• 2024 – 2025 Jefe de Trabajos Prácticos (Dedicación exclusiva) Teaching Assistant / Head of Practical Works (Full-time)
  Departamento de Matemática, FCEyN, Universidad de Buenos Aires. Mathematics Department, FCEyN, University of Buenos Aires. [
• 2022 – 2024 Profesor (Bajo contrato) Professor (Under contract)
  Departamento de Matemática, Universidad Técnica Federico Santa María, Chile. Mathematics Department, Universidad Técnica Federico Santa María, Chile.
• 2021 – 2022 Jefe de Trabajos Prácticos (Interino) Interim Teaching Assistant / Head of Practical Works
  Departamento de Matemática, FCEyN, Universidad de Buenos Aires. Mathematics Department, FCEyN, University of Buenos Aires.
• 2017 – 2019 Ayudante de Primera Graduate Teaching Assistant
  Ciclo Básico Común (CBC), Universidad de Buenos Aires. Common Basic Cycle (CBC), University of Buenos Aires.

Experiencia Previa

Previous Experience

• 2022 – 2024 Postdoctorado, Universidad Técnica Federico Santa María, Chile. Postdoc Fellow, Universidad Técnica Federico Santa María, Chile].
• 2021 Data Scientist, MASSED-LTD (EE.UU.). Data Scientist, MASSED-LTD (USA)[cite: 52, 53].
• 2020 – 2021 Postdoctorado, Universidad de la República (Uruguay). Postdoc Fellow, Universidad de la República (Uruguay).
• 2019 – 2020 Postdoctorado, Centro Atómico Bariloche. Postdoc Fellow, Centro Atómico Bariloche.