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. Here is my Google Scholar Profile. Email: nguyenthotung@gmail.com or tnguyen@lakeforest.edu |
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- I won the AMS-Simons Travel Grant for the 2024-2026 cycle.

- I organized a virtual conference to celebrate the 85th birthday of Professor Moshe Rosenfeld
who is my teacher, collaborator, and lifelong friend.
The website for this conference is here.

In Fall 2024, I will teach the following courses.

- CSCI 112: Computer Science I.

- MATH 375: Combinatorics and Graph Theory.

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.

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.)

- 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.

- The Trojan Math Seminar, Troy University, October 2024.

- 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.

Click here for a wonderful passage by Hermann Hesse about trees.

"I thought, I taught, I wrote, and I talked mathematics for fifty years, and I am glad I did. I wanted to be a mathematician. I still do."