Mathematics PhD Student

U.C. Los Angeles

About me

I am a third 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 at UCLA I’m trying to learn some restriction and decoupling theory.

I am currently a Teaching Assistant and Graduate Student Researcher. Before that I was a “La Caixa” post-graduate fellow, and before that 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

Talks & Travel

Travel plans and topics for talks with an astherisk* are temptative

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Upcoming Past
[Travel] Summer School on discrete analysis and complexity of quantum algorithms
Oct 11, 2021 — Oct 15, 2021 Online
[Travel] Brascamp-Lieb inequalities Summer School
Sep 26, 2021 — Oct 1, 2021 Wolffhotel, Kopp
[Travel] Harmonic Analysis and Analytic Number Theory Trimester Program
Aug 1, 2021 — Aug 20, 2021 Hausdorff Institute, Bonn
[Travel] Harmonic Analysis and Analytic Number Theory Trimester Program
May 3, 2021 — Jun 26, 2021 Hausdorff Institute, Bonn
[Talk] Decoupling for Cantor sets
Mar 12, 2021 (UTC) Online workshop on Fourier restriction and related topics.
[Talk] Uniform boundedness in operators parametrized by polynomial curves
Feb 11, 2021 UC Davis Student-Run Analysis & PDE
[Talk] Uniform boundedness in operators parametrized by polynomial curves
Dec 7, 2020 5:00 PM — 6:00 PM (Eastern Time) OARS Seminar (via Zoom)
[Talk] Uniform boundedness in operators parametrized by polynomial curves
Nov 9, 2020 3:00 PM — 4:00 PM (CEST) Seminari d'anàlisi UB-UAB (possibly via zoom)
[Talk] Decoupling and applications: from PDEs to Number Theory.
Oct 21, 2020 12:00 PM — 1:00 PM (CEST) SIMBa seminar, UB/BGSMATH (via Zoom)
[Talk] On Sparsity in Overparametrised Shallow ReLU Networks
Oct 19, 2020 2:00 PM — 3:00 PM (Eastern Time) NYU, MaD Group Meeting (via Zoom)

Publications and Preprints

Decoupling for fractal subsets of the parabola
Alan Chang, Jaume de Dios, Rachel Greenfeld, Asgar Jamneshan, Zane Kun Li, José Madrid
arXiv:2012.11458
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 - Winter 2021

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 1A, 1B. (Taught by Suzuki Fumiaki). Link to the CCLE site.
UCLA Math 32A: Calculus of Several Variables - Winter 2021

UCLA Math 32B: Calculus of Several Variables - Winter 2021

The course 32B treats topics related to integration in several variables, culminating in the theorems of Green, Gauss and Stokes. Each of these theorems asserts that an integral over some domain is equal to an integral over the boundary of the domain. In the case of Green’s theorem the domain is an area in the plane, in the case of Gauss’s theorem the domain is a volume in three-dimensional space, and in the case of Stokes’ theorem the domain is a surface in three-dimensional space. These theorems are generalizations of the fundamental theorem of calculus, which corresponds to the case where the domain is an interval on the real line. The theorems play an important role in electrostatics, fluid mechanics, and other areas in engineering and physics where conservative vector fields play a role. TA for Sections 1A, 1B. (Taught by March Boedihardjo). Link to the CCLE site.
UCLA Math 32B: Calculus of Several Variables - Winter 2021

UCLA Math 33B: Differential equations

First-order, linear differential equations; second-order, linear differential equations with constant coefficients; power series solutions; linear systems. TA for Sections 1C, 1D. (Taught by Chengxi Wang). Link to the CCLE site.
UCLA Math 33B: Differential equations

UCLA Math 32A: Calculus of Several Variables - Fall 2020

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 - Fall 2020

UCLA Math 131A: Analysis - Fall 2020

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 - Fall 2020

Contact