Nguyễn Đức Thọ

Xin chào!

I'm Tho Nguyen Duc (Nguyễn Đức Thọ in Vietnamese), but you can just call me Tho. I'm a member of the Faculty of Mathematics and Statistics, at Ton Duc Thang University, Vietnam.

Let’s connect! You can find me here:
📍 Office: Room C126 (Building C), Faculty of Mathematics and Statistics, Ton Duc Thang University, Vietnam
📧 Work Email: nguyenductho@tdtu.edu.vn
📧 Personal Email: thonguyen.khtn11@gmail.com

Looking forward to connecting! 🚀

Professional interests

Functional Analysis, Operators and Spectral Theory, Semi-classical Analysis, Partial Differential Equations and Hamiltonian Dynamics.

Publications

Abrupt changes in the spectra of the Laplacian with constant complex magnetic field (submitted, with David Krejčiřík and Nicolas Raymond).

To be appear in Communications in Contemporary Mathematics (2025)

Preprint on arxiv.org/abs/2412.17419 (2024).

The Laplacian with complex magnetic fields (submitted, with David Krejčiřík and Nicolas Raymond).

Preprint on arxiv.org/abs/2410.01377 (2024).

Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump (accepted, with David Krejčiřík and Lyonell Boulton).

Published on Journal of Spectral Theory (2025)

Preprint on arxiv.org/abs/2409.06480.(2024)

Schrödinger operator with a complex steplike potential.

Published on Journal of Differential Equations (2025).

Preprint on arxiv.org/abs/2310.15056.

Pseudomodes for biharmonic operators with complex potentials.

Published on SIAM Journal on Mathematical Analysis (2023).

Preprint on arxiv.org/abs/2201.03305.

Pseudomodes for non-self-adjoint Dirac operators (with David Krejčiřík).

Published on Journal of Functional Analysis (2022).

Preprint on arxiv.org/abs/2011.09433.

Magnetic WKB constructions on surfaces (with Yannick Guedes Bonthonneau , Nicolas Raymond and San Vũ Ngọc).

Published on Reviews in Mathematical Physics (2021).

Preprint on arxiv.org/abs/2003.00985.

Boundary effects on the magnetic Hamiltonian dynamics in two dimensions (with Nicolas Raymond and San Vũ Ngọc).

Published on L’Enseignement Mathématique (2018).

Preprint on arxiv.org/abs/1806.05395.

Grant Project

_ Member of the project EXPRO grant No. 20-17749X "New challenges for spectral theory: geometry, artificial materials and complex fields" (2020-2024).

(It was a beautiful chapter of my life when I had the privilege of meeting my mentor David Krejčiřík, and working alongside my incredible team Borbala Gerhat, František Štampach, Matěj Tušek, Aitor Balmaseda, Michele Zaccaron and Nico Michele Schiavone.)

Teaching

Ton Duc Thang University

Introduction to Topology (Second semester 2024/2025)

Czech Technical University in Prague

Calculus 2 (Summer Semester 2023/2024)
Calculus 1 (Winter semester 2023/2024)
Calculus 2 (Summer semester 2022/2023)

Employment

2025-Present: Teacher at Ton Duc Thang University, Vietnam
2022-2024: CTU Global Postdoc Fellowship, Czech Republic
2020-2022: Postdoctoral researcher, Czech Republic

Education

2016–2019:
Ph.D. in Mathematics
University of Rennes 1
Supervisors: Prof. Nicolas Raymond and Prof. San Vũ Ngọc
Doctoral Thesis: Classical and Semi-Classical Analysis of Magnetic Fields in Two Dimensions (Link)
2015–2016:
Master in Applied Mathematics
University of Paris 13
Internship at University of Rennes 1 under the supervision of Prof. Nicolas Raymond and Prof. San Vũ Ngọc
Master's Thesis: Confining Classical Particles with Magnetic Fields in Two Dimensions
2011–2015:
Bachelor of Science in Mathematics
University of Science, Vietnam National University, Ho Chi Minh City
Bachelor's Thesis: Nemytskii Operators from Sobolev Spaces to Lebesgue Spaces and Applications to Laplace Equations with Nonlinear Boundary Conditions