Mathematics PhD Candidate

UCLA

About me

I am a fourth year PhD candidate in Harmonic analysis at UCLA, under the supervision of Terence Tao. I was born in Barcelona, where I lived most of my life. I moved to Los Angeles in 2016 to finish my Bachelor’s, and to Zurich in 2017 to do a Master’s in mathematics. Now I’m back at UCLA, where I’m trying to learn more about the Fourier transform.

I’m spending January-March in the New York area, spending my time between NYU, Princeton and the IAS. Over the summer I will be working at Microsoft Research with Adil Salim, on the computational complexity of sampling from probability distributions. After that I will be a Postdoc at ETHZ with Svitlana Mayboroda, working on Schrodinger operators.

I am currently supported by the UCLA dissertation year fellowship. Before that I was a teaching assistant at UCLA, a “La Caixa” post-graduate fellow, and an ESOP fellow at ETHZ.

My name is pronouced [ˈʒawmə] , my pronouns are he/him.

You might want to check out the list of events in analysis that I mantain.

Interests

  • Harmonic Analysis
  • PDEs
  • Convex Analysis
  • Theory of Machine Learning

Education

  • MSC Mathematics, 2018

    ETH Zurich

  • BSC Mathematics, 2017

    Universitat Autonoma de Barcelona

  • BSC Physics, 2017

    Universitat Autonoma de Barcelona

Talks & Travel

Travel plans and topics for talks with an astherisk* are temptative. If I’m travelling near you and want to meet, contact me!

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[Travel] Stanford University
[Travel] Nodal domains and landscape functions
[Talk] Decoupling, Cantor sets, and additive combinatorics
[Travel] University of Minneapolis
[Travel] Harmonic analysis on manifolds summer school
[Travel] COLT
[Travel] Fourier Analysis @200
[Travel] Workshop on Analysis and PDEs
[Travel] Princeton Machine Learning Theory Summer School 2022
[Travel] CBMS Conference
[Travel] ETH Zurich
[Talk] The convex hull of space curves with totally positive torsion
[Travel] Basque Center for Applied Mathematics
[Talk] The convex hull of space curves with totally positive torsion
[Talk] Decoupling, Cantor sets, and additive combinatorics
[Talk] Decoupling for Cantor sets on the parabola
[Travel] Interactions between Geometric measure theory, Singular integrals, and PDE
[Talk] The sensitivity theorem
[Talk] Decoupling, Cantor sets and additive combinatorics
[Travel] Brascamp-Lieb inequalities Summer School
[Talk] Uniform boundedness in operators parametrized by polynomial curves
[Travel] Harmonic Analysis and Analytic Number Theory, Dual trimester program
[Travel] Harmonic Analysis and Analytic Number Theory, Dual trimester program
[Talk] Decoupling for Cantor Sets
[Talk] Uniform boundedness in operators parametrized by polynomial curves
[Talk] Uniform boundedness in operators parametrized by polynomial curves
[Talk] Uniform boundedness in operators parametrized by polynomial curves
[Talk] Decoupling and applications: from PDEs to Number Theory.
[Talk] On Sparsity in Overparametrised Shallow ReLU Networks

Publications and Preprints

Teaching

Current and past classes.

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