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Here you can download my CV.


  1. Marie Skłodowska-Curie Individual Fellow, Universitat de Barcelona, Sept. 2021 – 
  2. ERC Post-doctoral Researcher, Universitat de Barcelona, July 2020 – Aug. 2021
  3. Hans Rademacher Instructor of Mathematics, University of Pennsylvania, Aug. 2018 – June 2020
  4. FPU Predoctoral Fellow, Universidad de Sevilla, Sept. 2015 – June 2018


  1. PhD student in mathematics. Universidad de Sevilla (FPU Fellowship, 2018).
  2. (4-year) Degree in Mathematics. Universidad de Sevilla (2014)
  3. (5-year) Degree in Industrial Engineering. Universidad de Sevilla (2014)
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My research interests lie within analysis, partial differential equations and fluid mechanics. More specifically, I am interested in the evolution of moving interfaces in incompressible flows coming from physical models. Since next September, 2021, I will carry out the MSCA-IF-2020 project CAMINFLOW.


  1. The Peskin Problem with Viscosity Contrast, with Y. Mori, R. Strain. Submitted, arXiv:2009.03360, (2020). (Link to ArXiv)
  2. Global Regularity for Gravity Unstable Muskat Bubbles, with F. Gancedo, N. Patel and R. Strain. Accepted in Memoirs of the AMS, arXiv:1902.02318, (2019). (Link to ArXiv)
  3. Regularity results for viscous 3D Boussinesq temperature fronts, with F. Gancedo.  Communications in Mathematical Physics, 376, 1705-1736 (2020). (Link to ArXiv)
  4. On the Muskat problem with viscosity jump: Global in time results,
    with F. Gancedo, N. Patel and R. Strain. Advances in Mathematics, 345,  552-597, (2019). (Link to ArXiv)
  5. Global regularity of 2D density patches for inhomogeneous Navier-Stokes,
    with F. Gancedo. Archive for Rational Mechanics and Analysis, 229 (1), 339-360, (2018). (Link to ArXiv)
  6. Global regularity for 2D Boussinesq temperature patches with no diffusion,
    with F. Gancedo. Annals of PDE 3, 14, (2017). (Link to ArXiv)

Preprints of my papers can be found in ArXiv, ResearchGate. Information about talks, workshops and grants can be found in my Curriculum Vitae.

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Office Hours Spring 2021

Tuesdays 16:00-17:00
Location: Online


2020/2021 (Universitat de Barcelona)

  • Equacions Diferencials (Spring)

2019/2020 (University of Pennsylvania)

  • Math 425: Partial Differential Equations (Spring)
  • Math 241: Calculus IV, PDE (Spring)
  • Math 115: Multivariate Calculus, with Probability and Matrices (Fall)

2018/19 (University of Pennsylvania)

  • Math 425: Partial Differential Equations (Spring)
  • Math 312: Linear Algebra (Spring, group 002)
  • Math 312: Linear Algebra (Fall, group 001)

2017/18 (Universidad de Sevilla)

2016/17 (Universidad de Sevilla)

  • Mathematical Analysis (Physics degree)  (2.25 ECTS)
  • Mathematics (Chemistry degree) (2.40 ECTS)
  • Differentiation of functions in Rn (0.40 ECTS)
  • Integration of functions in Rn (0.40 ECTS)
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About me

I completed my studies in Industrial Engineering and Mathematics at Universidad de Sevilla in 2014. Later I held an FPU Fellowship granted by the Government of Spain to do my PhD thesis in mathematics under the supervision of Francisco Gancedo (Universidad de Sevilla and IMUS). I am currently a postdoctoral researcher at Universitat de Barcelona (BGSMath) associated to the ERC Starting Grant CAPA leaded by Javier Gómez-Serrano. Starting this September, I will be a MSCA Research Fellow at the same university. Previously, I was a Hans Rademacher Instructor of Mathematics at University of Pennsylvania. My postdoctoral mentor was Robert M. Strain.

Contact Information:Foto visado (2)


Mailing address:

Facultat de Matemàtiques i Informàtica
Gran Via de les Corts Catalanes, 585
08007, Barcelona, Spain