Mathematics PhD Student

U.C. Los Angeles

About me

I am a second year PhD student in Harmonic analysis at UCLA. I was born in Barcelona (Catalonia), 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 at UCLA I’m trying to learn some restriction and decoupling theory.

I am currently a Teaching Assistant. Before that I was a “La Caixa” post-graduate fellow and an ESOP fellow at ETHZ.

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

Interests

  • Harmonic Analysis
  • PDEs
  • Theoretical Deep Learning

Education

  • MSC Mathematics, 2018

    ETH Zurich

  • BSC Mathematics, 2017

    Universitat Autonoma de Barcelona

  • BSC Physics, 2017

    Universitat Autonoma de Barcelona

Upcoming Talks

Topics for talks with an astherisk* are temptative

On Sparsity in Overparametrised Shallow ReLU Networks
Oct 19, 2020 2:00 PM — 3:00 PM (Eastern Time) NYU, MaD Group Meeting (via Zoom)
Decoupling and applications: from PDEs to Number Theory. (Talk in catalan)
Oct 21, 2020 12:00 PM — 1:00 PM (CEST) SIMBa seminar, UB/BGSMATH (via Zoom)
TBA*
Nov 9, 2020 3:00 PM — 4:00 PM (CEST) Seminari d'anàlisi UB-UAB (possibly via zoom)
Uniform boundedness in operators parametrized by polynomial curves: Local field case*
Dec 7, 2020 5:00 PM — 6:00 PM (Eastern Time) OARS Seminar (via Zoom)

Publications and Preprints

On Sparsity in Overparametrised Shallow ReLU Networks
Jaume de Dios, Joan Bruna
arXiv:2006.10225
A geometric lemma for complex polynomial curves with applications in Fourier restriction theory
Jaume de Dios
arXiv:2003.14140
Role Detection in Bicycle-Sharing Networks Using Multilayer Stochastic Block Models
Jane Carlen, Jaume de Dios, Cassidy Mentus, Shyr-Shea Chang, Stephanie Wang, Mason A. Porter
arXiv:1908.09440

Teaching

Current and past classes.

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Current Classes Past Classes

UCLA Math 32A: Calculus of Several Variables

The course 32A treats topics related to differential calculus in several variables, including curves in the plane, curves and surfaces in space, various coordinate systems, partial differentiation, tangent planes to surfaces, and directional derivatives. The course culminates with the solution of optimization problems by the method of Lagrange multipliers. TA for Sections 1C, 1D. (Taught by Peter Spaas). Link to the CCLE site.
UCLA Math 32A: Calculus of Several Variables

UCLA Math 131A: Analysis

Math 131AB is the core undergraduate course sequence in mathematical analysis. The aim of the course is to cover the basics of calculus, rigorously. TA for Section 2A. (Taught by James Cameron). Link to the CCLE site.
UCLA Math 131A: Analysis

Contact