I am currently a visiting assistant professor of computer science at Lake Forest College.
I am an interdisciplinary mathematician. My primary research interests are in computational/algebraic number theory, spectral graph theory,
and their applications to nonlinear dynamics. I have also worked on other projects in non-commutative algebra, machine learning,
and Galois modules. Recently, I have developed an interest in using AI for theorem proving.
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
or see here for a program that I wrote to explore gcd-graphs).
I obtained my Ph.D. at the University of Chicago in December 2020. After my PhD, I was a postdoc
at Western University until May 2024. Before coming to Chicago, I was an undergraduate student at Vietnam
National University.
1. Tung T. Nguyen, Heights and Tamagawa numbers of motives, Journal of Pure and Applied Algebra, 2021.
Journal version
2. Lyle Muller, Ján Mináč, Tung T. Nguyen, An algebraic approach to the Kuramoto model, Physical
Review E, 2021. 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. Journal version
4. Tung T. Nguyen, Jacqueline Đoàn, Federico Pasini, Ján Mináč, Lyle Muller, Join of circulant matrices,
Linear Algebra and its Applications, 2022. Journal version
5. Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, Fekete polynomials, quadratic residues, and arithmetic,
Journal of Number Theory, 2022. 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. Journal 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. Journal 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.
Journal 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 Journal 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. Journal 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. Journal
version.
13. Jon Merzel, Ján Mináč, Federico Pasini, Tung T. Nguyen, Spectral perturbation by rank-m matrices. Operators and Matrices, 2023.
(Journal version).
14. Priya B. Jain, Tung T. Nguyen, Roberto C. Budzinski, Jan Mináč, Lyle E. Muller,
Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators,
Chaos: An Interdisciplinary Journal of Nonlinear Science, Focus Issue: ``Data-Driven Models and Analysis of Complex Systems'', 2023.
Journal version.
This article is chosen as an Editor's Pick by the Editors of Chaos.
15. Jan Mináč, Lyle Muller, Duy Tan Nguyen, Tung T. Nguyen, On the Paley graph of a quadratic character.
Mathematica Slovaca, vol. 74, no. 3, 2024, pp. 527-542. Journal version
16. Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, On the arithmetic of generalized Fekete polynomials.
Experimental Mathematics, 2024, p. 1-32. Journal version
17. Shiva Chidambaram, Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, Fekete polynomials of principal Dirichlet characters.
To appear in The Journal of Experimental Mathematics 2024 (Note that this journal is different from Experimental Mathematics.)
( Arxiv version. )
18. Korey Brownstein, Tung T. Nguyen, Utilization of a natural language processing-based approach
to determine the composition of artifact residues, BMC Bioinformatics 25, 311 (2024).
Journal 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, Federico Pasini, Tung T. Nguyen, Duy Tan Nguyen, On the
arithmetic of the joins of group rings over finite fields (submitted) (Arxiv version).
3. Maria Chudnovsky, Logan Crew, Jan Mináč, Tung T. Nguyen, Sophie Spirkl, Michal Cizek, Duy Tan Nguyen,
On prime Cayley graphs (submitted)
( Arxiv version)
4. Suk-Geun Hwang, Woo Jeon, Ki-Bong Nam, Tung T. Nguyen, A Note on Finite Number Rings (expository paper,
Arxiv version).
5. Tung T. Nguyen, Nguyen Duy Tan, On certain properties of the p-unitary Cayley graph over a finite ring.
Arxiv version.
6. Ján Mináč, Tung T. Nguyen, Nguyen Duy Tan, On the gcd graphs over the polynomial rings (submitted).
Arxiv version and Code
7. Ján Mináč, Tung T. Nguyen, Nguyen Duy Tan, A complete classification of perfect unitary Cayley graphs.
Arxiv version and Code.
8. Ján Mináč, Tung T. Nguyen, Nguyen Duy Tan, Isomorphic gcd-graphs over polynomial rings.
Arxiv version and Code.
9. Tung T. Nguyen, Nguyen Duy Tan, Integral Cayley graphs over a finite symmetric algebra. Arxiv version.
10. Sunil Chebolu, Ján Mináč, Tung T. Nguyen, Nguyen Duy Tan, A note on necklace polynomials (Exporitory paper, in preparation.)
11. Trinh Duy Binh, Tung T. Nguyen, Nguyen Duy Tan, p-unitary Fekete polynomials and applications (manuscript availabe upon request.)
Other writing
When I was an undergraduate student at Vietnam National University, I co-authored a book on research
experiences for undergraduates in mathematics. It is available here. See
here for a media coverage about this book.
I occasionally propose math olympiad-style problems for the PI journal (a
Vietnamese general journal for all people who share the love for mathematics.) I highly recommend you to
contribute to this meaningful journal.
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.
