Thomas Chen

The University of Texas at Austin — United States

Mathematics · Physical Sciences

19h-index1.1kcitations108works0.12yr avg
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Research Topics

Spectral Theory in Mathematical Physics(36), Advanced Mathematical Physics Problems(36), Cold Atom Physics and Bose-Einstein Condensates(32), Nonlinear Photonic Systems(19), Numerical methods in inverse problems(13)

Publications108 total

Quantum Boltzmann Dynamics and Bosonized Particle-Hole Interactions in Fermion Gases
Journal of Statistical Physics·2025
Derivation of renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations in an interacting Bose gas
Journal of Functional Analysis·2025
Non-Asymptotic Length Generalization
arXiv (Cornell University)·2025Open Access
Architecture independent generalization bounds for overparametrized deep ReLU networks
arXiv (Cornell University)·2025Open Access
Front Cover, Volume 4, Number 2, April 2025
Droplet·2025Open Access
Zero loss guarantees and explicit minimizers for generic overparametrized Deep Learning networks
arXiv (Cornell University)·2025Open Access
On non-approximability of zero loss global L2 minimizers by gradient descent in deep learning
Theoretical and Applied Mechanics·2025· 1 citedOpen Access
On an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e45"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> critical Boltzmann equation
Nonlinear Analysis·2024
Derivation of renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations in an interacting Bose gas
arXiv (Cornell University)·2024Open Access
On the Well-Posedness and Stability of Cubic and Quintic Nonlinear Schrödinger Systems on $$\mathbb {T}^3$$
Annales Henri Poincaré·2023· 1 cited
Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases
arXiv (Cornell University)·2023Open Access
Report on scipost_202301_00029v1
2023Open Access
On the Emergence of Quantum Boltzmann Fluctuation Dynamics near a Bose–Einstein Condensate
Journal of Statistical Physics·2023· 6 cited
Report on scipost_202301_00029v1
2023Open Access
Data Science and Machine Learning in Education
2022· 2 citedOpen Access
On an $L^2$ critical Boltzmann equation
arXiv (Cornell University)·2022Open Access
The time-dependent Hartree–Fock–Bogoliubov equations for Bosons
Journal of Evolution Equations·2022· 27 citedOpen Access
On the Well-posedness and Stability of Cubic and Quintic Nonlinear Schrödinger Systems on ${\mathbb T}^3$
arXiv (Cornell University)·2021Open Access
On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein Condensate
arXiv (Cornell University)·2021Open Access
Small Data Global Well-Posedness for a Boltzmann Equation via Bilinear Spacetime Estimates
Archive for Rational Mechanics and Analysis·2021· 11 cited
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Frequent Co-authors

Nataša Pavlović(17), Jürg Fröhlich(9), Volker Bach(6), Israel Michael Sigal(6), Walid Abou Salem(3), Vitali Vougalter(3), Ryan Denlinger(3), Robert Seiringer(2), Alessandro Pizzo(2), Nikolaos Tzirakis(2), Sébastien Breteaux(2), Kenneth Taliaferro(2), Jean-Marie Barbaroux(2), Vitali Vougalter(2), Semjon Vugalter(2), Juerg Froehlich(2), Christian Hainzl(1), Jérémy Faupin(1), Younghun Hong(1), Christian Hainzl(1)