Ian Fleschler
Researcher at Universitat Autònoma de Barcelona
Researcher at Universitat Autònoma de Barcelona
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Researcher:
Since July 9 2025.
Universitat Autònoma de Barcelona
Postdoctoral Mentor: Xavier Tolsa.
PhD in Mathematics,
August 20, 2020 - May 28 2025.
Princeton University
Advisor: Camillo de Lellis
Thesis Topic: Boundary regularity of area-minimizing currents.
Master of Arts in Mathematics:
Princeton University. Degree obtained May 25, 2021.
Licentiate Degree in Mathematics,
Licentiate degree (6-year degree, comparable to a combined BSc and Master’s with one year of preparatory courses) at the University of Buenos Aires, Argentina. March 2018 - August 19, 2020.
Licentiate Thesis, Title: “Quantitative Techniques in the Study of Rectifiability”. Topic: Geometric Measure Theory. Thesis Directors: Professors Ezequiel Rela and Pablo Shmerkin. Link to thesis.
My main research interests are in geometric measure theory, harmonic analysis, calculus of variations, PDEs, and differential geometry. I am generally interested in geometric regularity theory. My recent research has been on boundary regularity for area minimizing currents and quantitative rectifiability.