I am postdoctoral associate at Western University. My postdoc advisors are Professor
Ján Mináč and Professor
Lyle Muller.
I am an interdisciplinary mathematician. My primary research interests are in computational/algebraic number theory,
non-commutative algebras, and nonlinear dynamics. I have also worked on other projects in spectral graph theory
Machine Learning, and Galois modules.
I enjoy finding hidden patterns from experimental data. A large part of my research is inspired and guided
by big data and simulations (for example, see here
and here for some data that I generated for our work on Fekete polynomials).
I obtained my Ph.D. at the University of Chicago in December
2020. My advisor is Professor Kazuya Kato.
Before coming to Chicago, I was an undergraduate student at Vietnam
National University. I wrote my senior thesis under the supervision of Professor Ralph Greenberg.
Together with Ján Mináč and Sunil Chebolu, we are organizing a special session on "Algebraic methods in graph theory and applications" at the
AMS Spring 2024 Central Sectional at the University of Wisconsin-Milwaukee, April 20-21, 2024.
See here for the full program.
Together with Thomas Koberda, Thang Pham, Tu Nguyen, and Tuan Tran, we are organizing the second Vietnam-Polymath-REU. This is a year-round
program that aims to equip undergraduate students with the necessary training, skills, and information to excel in
the next step of their careers. Interested students are encouraged to see here for further information about the program and how to apply.
I recently organized a virtual conference to celebrate the 85th birthday of Professor Moshe Rosenfeld
who is my teacher, collaborator, and lifelong friend.
2. Lyle Muller, Ján Mináč, Tung T. Nguyen, An algebraic approach to the Kuramoto model, Physical
Review E, 2021. (Arxiv version) (Journal version)
3. Roberto Budzinski, Tung T. Nguyen, Jacqueline Đoàn, Ján Mináč, Terrence J. Sejnowski, Lyle Muller, Geometry
unites synchrony, chimeras, and waves in nonlinear oscillator networks, Chaos: An Interdisciplinary
Journal of Nonlinear Science, 2022. (Arxiv version) (Journal version)
4. Tung T. Nguyen, Jacqueline Đoàn, Federico Pasini, Ján Mináč, Lyle Muller, Join of circulant matrices,
Linear Algebra and its Applications, 2022. (Arxiv version) (Journal version)
5. Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, Fekete polynomials, quadratic residues, and arithmetic,
Journal of Number Theory, 2022. (Arxiv version) (Journal version)
6. Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, Further insights into the mysteries of the values of zeta
functions at integers, Mathematica Slovaca, 2022. (Arxiv version)
7. Tung T. Nguyen, Roberto Budzinski, Jacqueline Đoàn, Federico Pasini, Ján Mináč, Lyle Muller, Equilibria in
Kuramoto oscillator networks: An algebraic approach, SIAM Journal on Applied Dynamical Systems, 22(2):802–824,
2023
Journal version
8. Lauren Heller, Ján Mináč, Tung T. Nguyen, Andrew Schultz, and Nguyễn Duy Tân, Galois module structure of some
elementary p-abelian, Israel Journal of Mathematics, 2023. (Arxiv version).
9. Roberto C. Budzinski, Tung T. Nguyen, Gabriel B. Benigno,
Jacqueline Doan, Ján Mináč, Terrence J. Sejnowski, and Lyle E. Muller, Analytical prediction of specific
spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays,
Physical Review Research, 2023.
(Final version)
10. Tung T. Nguyen, Roberto C. Budzinski, Federico W. Pasini, Robin Delabays, Ján Mináč, and Lyle E. Muller, Broadcasting solutions on
networked systems of phase oscillators, Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science,
and Nonequilibrium and Complex Phenomena, 2023 (Arxiv version)
11. Sunil Chebolu, Jon Merzel, Ján Mináč, Lyle Muller, Federico Pasini, Tung T. Nguyen, Duy Tan Nguyen, On the
joins of group rings, Journal of Pure and Applied Algebra, 2023. (Arxiv version)
12. Frank Chemotti, Ján Mináč, Tung T. Nguyen, Andrew Schultz, John Swallow, Nguyen Duy Tân, Quaternion algebras
and square power classes over biquadratic extensions, Israel Journal of Mathematics, 2023. (Arxiv
version).
13. Jon Merzel, Ján Mináč, Federico Pasini, Tung T. Nguyen, Spectral perturbation by rank-m matrices, To appear in Operators and Matrices, 2023.
(Arxiv version).
Preprints
1. Tung T. Nguyen, Jacqueline Đoàn, Federico Pasini, Ján Mináč, Lyle Muller, Join of normal matrices with
constant row sums (submitted), (Arxiv version).
2. Sunil Chebolu, Jon Merzel, Ján Mináč, Lyle Muller, Federico Pasini, Tung T. Nguyen, Duy Tan Nguyen, On the
arithmetic of the joins of group rings over finite fields (Arxiv version).
3. Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, On the
arithmetic of generalized Fekete polynomials (submitted) (Arxiv version)
4. Jan Mináč, Lyle Muller, Duy Tan Nguyen, Tung T. Nguyen, On the Paley graph of a quadratic character (submitted)
(Arxiv version)
5. Korey Brownstein, Tung T. Nguyen, Utilization of a natural language processing-based approach
to determine the composition of artifact residues (submitted).
Github repository for the code.
6. Shiva Chidambaram, Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, Fekete polynomials of principal Dirichlet characters
( Arxiv version. )
7. Priya B. Jain, Tung T. Nguyen, Roberto C. Budzinski, Jan Mináč, Lyle E. Muller, Synchronization patterns and stability of solutions in multiplex networks of
nonlinear oscillators (submitted) (Arxiv version).
8. Maria Chudnovsky, Logan Crew, Jan Mináč , Lyle Muller, Tung T. Nguyen, Sophie Spirkl, Michal Cizek, Duy Tan Nguyen, On prime Cayley graphs (manuscript is
available upon request).
Teaching and Mentoring
I am an experienced teacher with eight years of experience, including six years of teaching in the United States.
Throughout my career, I have always placed my students at the center of my teaching approach. My excellence in teaching is evidenced
by constant excellent evaluations by my students. As an instructor and mentor, I introduce my students to beautiful and practical mathematical ideas, help them develop critical thinking skills,
and provide mentorship to support their success. I strongly believe that anyone, regardless of race, gender, or social status,
can master and enjoy mathematics. Here is a summary of my teaching records.
I was an instructor for the course "Probability and Statistics" at Vietnam National University, 2014.
I was an instructor for both the regular and advanced calculus sequences at UChicago (Math 131-132-133 and Math 151-152-153)
from 2015-2020.
In the summer of 2019, I designed a curriculum for and taught a summer course "Introduction to
Mathematicstics via proofs-based methods'' for incoming UChicago students thorough the Chicago Academic Achievement
Program. It is a memorable experience. Click here for a picture of me with some
students in this course.
In the summer of 2020, I had a fantastic internship as a data scientist at Kibo Commerce through the PI4-IMA program, where I implemented several A/B testing algorithms.
My mentor is Austin Rochford.
Awards
PI4-IMA fellowship, 2020.
National Program for the Development of Mathematics scholarship, 2014.
Honda Young Engineers and Scientists award for top 10 Vietnamese students in STEM fields, 2013 (see here.)
The prominent young students of Vietnam National University, 2012.
Watanabe-Kanda scholarship for outstanding students in the department of mathematics, 2012, 2013
Second prize in Vietnam Mathematical Olympiad, 2009.
