Tung T. Nguyen

I am postdoctoral associate at Western University. My postdoc advisors are Professor Ján Mináč, Professor Lyle Muller, and Professor Kevin Shoemaker. 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. Here is my Google Scholar profile. Email: nguyenthotung@gmail.com or tung.nguyen@uwo.ca

I am postdoctoral associate at Western University. My postdoc advisors are Professor Ján Mináč, Professor Lyle Muller, and Professor Kevin Shoemaker.

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.

Here is my Google Scholar profile.

Email: nguyenthotung@gmail.com or tung.nguyen@uwo.ca

What's new

Starting in August 2024, I will be a visiting assistant professor of computer science at Lake Forest College.

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.
The website for this conference is here.

Publications

1. Tung T. Nguyen, Heights and Tamagawa numbers of motives, Journal of Pure and Applied Algebra, 2021. (Arxiv version) (Journal version)

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. Operators and Matrices, 2023. (Arxiv 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. (Arxiv 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. To appear in Mathematica Slovaca, 2023. (Arxiv version)

16. Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, On the arithmetic of generalized Fekete polynomials. To appear in Experimental Mathematics, 2024. (Arxiv 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. )

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. 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.

4. Maria Chudnovsky, Logan Crew, Jan Mináč, Tung T. Nguyen, Sophie Spirkl, Michal Cizek, Duy Tan Nguyen, On prime Cayley graphs (submitted) ( Arxiv version)

5. Suk-Geun Hwang, Woo Jeon, Ki-Bong Nam, Tung T. Nguyen, A Note on Finite Number Rings (expository paper, Arxiv version).

6. Tung T. Nguyen, Nguyen Duy Tan, On certain properties of the p-unitary Cayley graph over a finite ring. Arxiv version.

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.

Recent and upcoming talks

Algorithm seminar, Carleton University, March 2024.

Workshop on Galois Cohomology and Massey Products (In honour of Jan Minac's 71st birthday), June 2024.

Other activities

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.