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Jaume de Dios Pont
About me
I am a Postdoc at ETHZ with Svitlana Mayboroda, working on harmonic analysis, spectral theory, and vaguely related topics. My research is funded by the Simons Collabortation on Localization of Waves.
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 pursue a Master’s in mathematics. In June 2023 I got my PhD from UCLA, under the supervision of Terence Tao. Between the Phd and the Postdoc, I was a research intern at the ML Foundations group at Microsoft Research.
My graduate school was supported by a UCLA dissertation year fellowship, Teaching and Research Assistantships, a "La Caixa" post-graduate fellow, and an ESOP fellowship at ETHZ.
My name is pronouced [ˈʒawmə] , my pronouns are he/him.
If you are an ETHZ student looking for a thesis/semester project in Fourier analysis or elliptic PDE, send me an email!
Interests
- Harmonic Analysis
- Elliptic PDEs
- Convex Analysis
- Machine Learning
Education
-
PhD Mathematics, 2023
UCLA
-
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!
.js-id-Current
[Travel] UK Spectral Theory Network Worksho
Aug 26, 2025 - Aug 29, 2025
University of Reading
[Talk] Convex sets can have interior hot spots
Jul 31, 2025 9:00 AM - 10:00 AM
[EST] ISM Discovery School - Interactions between convex geometry and spectral analysis
[Travel] Workshop on spectral geometry, PDEs and mathematical physics
Jul 28, 2025 - Jul 30, 2025
FernUni Hagen
[Travel] Flatiron Institute
Jul 14, 2025 - Jul 25, 2025
New York
[Travel] Fourier Analysis and Beyond I
Jun 30, 2025 - Jul 4, 2025
IMPA
[Travel] Summer school in PDE and Probability
Jun 23, 2025 - Jun 27, 2025
Sorbonne Universite
[Travel] Valentia Matematica
Jun 16, 2025 - Jun 19, 2025
Valencia
[Travel] Modern trends in Fourier Analysis
Jun 2, 2025 - Jun 6, 2025
Barcelona
[Talk] Convex sets can have interior hot spots
Mar 17, 2025 5:00 PM - 6:00 PM
[CET] Spectral Geometry in the coluds
[Travel] Camille Jordan Institute in Lyon (Analysis Seminar)
Mar 10, 2025 - Mar 12, 2025
Lyon
[Travel] University of Edinburgh (Analysis Seminar)
Mar 1, 2025 - Mar 4, 2025
University of Edinburgh
[Travel] Virginia Tech (Analysis Seminar)
Feb 23, 2025 - Feb 27, 2025
Virginia Tech
[Travel] Simon's collaboration on wave localization: Annual Meeting.
Feb 20, 2025 - Feb 21, 2025
Flatiron Institute, NY
[Travel] MPS Workshop on Computation in Mathematics
Feb 18, 2025 -
Flatiron Institute, NY
[Travel] Seminari d'Analisi UAB-UB
Jan 13, 2025 - Jan 17, 2025
Universitat Autonoma de Barcelona
[Travel] Boolean Analysis in Computer Science
Oct 11, 2024 - Oct 25, 2024
Hausdorff Insitute of Mathematics, Bonn
[Travel] Arbeitsgemeinschaft: Quantum Signal Processing and Nonlinear Fourier Analysis
Oct 6, 2024 - Oct 11, 2024
MFO Oberwolfach
[Travel] Uniformity and Stability of Oscillatory Integrals
Jul 8, 2024 - Jul 12, 2022
Hausdorff Center for Mathematics, Bonn
[Travel] Barcelona Analysis Conference
Jun 3, 2024 -
Barcelona
[Travel] Dual Trimester Program: Synergies between modern probability, geometric analysis and stochastic geometry
Jan 8, 2024 - Jan 31, 2022
Hausdorff Insitute of Mathematics, Bonn
[Travel] NTNU
Oct 20, 2023 - Nov 3, 2022
Trondheim, NO
[Travel] Microsoft Reseach Internship
May 30, 2023 - Sep 1, 2022
Seattle, WA
[Travel] University of Rochester
May 22, 2023 - May 25, 2022
Rochester, NY
[Travel] Stanford University
Oct 17, 2022 - Oct 28, 2022
Palo Alto, California
[Travel] Nodal domains and landscape functions
Oct 2, 2022 - Oct 7, 2022
Kopp, Germany
[Talk] Decoupling, Cantor sets, and additive combinatorics
Sep 15, 2022 3:30 PM - 3:30 PM
[CST] University of Minnesota PDE Seminar
[Travel] University of Minneapolis
Sep 7, 2022 - Sep 28, 2022
UMN, Minneapolis
[Travel] Harmonic analysis on manifolds summer school
Aug 1, 2022 - Aug 5, 2022
UW Madison, WI
[Travel] COLT
Jul 2, 2022 - Jul 5, 2022
London
[Travel] Fourier Analysis @200
Jun 23, 2022 - Jul 1, 2022
ICMS, Edinburgh
[Travel] Workshop on Analysis and PDEs
Jun 23, 2022 -
CRM - Barcelona
[Travel] Princeton Machine Learning Theory Summer School 2022
Jun 13, 2022 - Jun 17, 2022
Princeton
[Travel] Analysis on the hypercube with applications to quantum computing
Jun 6, 2022 - Jun 10, 2022
AIM, San Jose
[Travel] CBMS Conference
May 21, 2022 - May 28, 2022
FSU, Tallahasee
[Travel] ETH Zurich
Mar 14, 2022 - Mar 19, 2022
Visiting Joao P. Ramos
[Talk] The convex hull of space curves with totally positive torsion
Mar 9, 2022 3:00 PM - 4:00 PM
[EU] Bilbao Analysis and PDE
[Travel] Basque Center for Applied Mathematics
Mar 8, 2022 - Mar 14, 2022
Visiting Mateus Costa da Sousa.
[Talk] The convex hull of space curves with totally positive torsion
Mar 7, 2022 3:00 PM - 4:00 PM
[EU] UAB Analysis Seminar
[Talk] Decoupling, Cantor sets, and additive combinatorics
Feb 17, 2022 3:00 PM - 4:00 PM
[UK] University of Bristol's Analysis and Geometry Seminar
[Talk] Decoupling for Cantor sets on the parabola
Feb 3, 2022 12:00 PM - 1:00 PM
[EU] Workshop on Harmonic analysis, Singular Integrals and PDEs (HIM, Bonn)
[Travel] Interactions between Geometric measure theory, Singular integrals, and PDE
Jan 23, 2022 - Mar 5, 2022
Haudroff Mathematical Institute, Bonn, Germany
[Talk] The sensitivity theorem
Nov 16, 2021 3:00 PM - 4:00 PM
[PST] UCLA Participating Analysis Seminar
[Talk] Decoupling, Cantor sets and additive combinatorics
Oct 20, 2021 3:00 PM - 4:00 PM
[UK] UK Virtual Harmonic Analysis Seminar
[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, Germany
[Talk] Uniform boundedness in operators parametrized by polynomial curves
Aug 16, 2021 3:00 PM - 4:00 PM
[EST] Probability and analysis webinar
[Travel] Harmonic Analysis and Analytic Number Theory, Dual trimester program
Aug 1, 2021 - Aug 20, 2021
Haudroff Mathematical Institute, Bonn, Germany
[Travel] Harmonic Analysis and Analytic Number Theory, Dual trimester program
May 3, 2021 - Jun 26, 2021
Haudroff Mathematical Institute, Bonn, Germany
[Talk] Decoupling for Cantor Sets
Mar 12, 2021 12:00 AM - 2:00 AM
[UTC] Fourier restriction online 2021
[Talk] Uniform boundedness in operators parametrized by polynomial curves
Feb 11, 2021 2:00 PM - 3:00 PM
[PST] UC Davis Student-Run Analysis and PDE
[Talk] Uniform boundedness in operators parametrized by polynomial curves
Dec 7, 2020 5:00 PM - 6:00 PM
[CEST] Online Analysis Research Seminar
[Talk] Uniform boundedness in operators parametrized by polynomial curves
Nov 9, 2020 3:00 PM - 4:00 PM
[CEST] Seminari d'Anàlisi UB-UAB
[Talk] Decoupling and applications: from PDEs to Number Theory.
Oct 21, 2020 12:00 PM - 1:00 PM
[CEST] SIMBa seminar (UB / BGSMATH)
[Talk] On Sparsity in Overparametrised Shallow ReLU Networks
Oct 19, 2020 2:00 PM - 3:00 PM
[EST] NYU, MaD Group Meeting
Publications and Preprints
Convex sets can have interior hot spots
The hot spots conjecture asserts that for any convex bounded domain $\Omega$ in $\mathbb{R}^d$, the first non-trivial Neumann …
Predicting quantum channels over general product distributions
We investigate the problem of predicting the output behavior of unknown quantum channels. Given query access to an n-qubit channel E …
Periodicity and decidability of translational tilings by rational polygonal sets
The periodic tiling conjecture asserts that if a region Σ⊂Rd tiles Rd by translations then it admits at least one fully periodic …
Query lower bounds for log-concave sampling
Log-concave sampling has witnessed remarkable algorithmic advances in recent years, but the corresponding problem of proving lower …
Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency
In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be …
A new proof of the description of the convex hull of space curves with totally positive torsion
We give new proofs of the description convex hulls of space curves $\gamma : [a,b] \mapsto \mathbb{R}^{d}$ having totally positive …
Additive energies on discrete cubes
We prove that for $d\geq 0$ and $k\geq 2$, for any subset $A$ of a discrete cube ${0,1}^d$, the $k-$higher energy of $A$ (i.e., the …
On classical inequalities for autocorrelations and autoconvolutions
In this paper we study an autocorrelation inequality proposed by Barnard and Steinerberger. The study of these problems is motivated by …
Decoupling for fractal subsets of the parabola
We consider decoupling for a fractal subset of the parabola. We reduce studying l2Lp decoupling for a fractal subset on the parabola …
Teaching
Current and past classes.
.js-id-Current
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 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 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.
Contact
- jaume.dediospont[at]math·ethz·ch
- ETHZ HG F 28.6
- @jaumededios