I am a joint postdoc at Western University and Onepick Inc. At Western, my mentors are Professor Ján Mináč and Professor Lyle Muller. I am an interdisciplinary mathematician. My primary research interests are in computational/algebraic number theory and computational neuroscience. I have also worked on several side projects on spectral graph theory, representation theory, and Galois modules. I am strongly interested in applying my math skills to solve real-world problems. In particular, I am working with Dr. Thanh Nguyen (Onepick Inc) on the Vehicle Routing Problem and its generalizations. 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 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 I will be a on the job market in Fall 2022. Here is my CV. |
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- I am organizing 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.

1. Tung T. Nguyen, Heights and Tamagawa numbers of motives (Published in the 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 (Published in 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 (Published in 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 (Published in 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 (Accepted to 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 (Accepted to 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 (Accepted to SIAM Journal on Applied Dynamical Systems, 2022). (Arxiv version)

8. Lauren Heller, Ján Mináč, Tung T. Nguyen, Andrew Schultz, and Nguyễn Duy Tân, Galois module structure of some elementary p-abelian (Accepted to Israel Journal of Mathematics, 2022). (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 (Accepted to 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 (Accepted to 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 (To appear in the Journal of Pure and Applied Algebra, 2023) (Arxiv version) .

1. Frank Chemotti, Ján Mináč, Tung T. Nguyen, Andrew Schultz, John Swallow, Nguyen Duy Tân, Quaternion algebras and square power classes over biquadratic extensions (submitted). (Arxiv version).

2. Jon Merzel, Ján Mináč, Lyle Muller, Federico Pasini, Tung T. Nguyen, Spectral perturbation by rank-m matrices ( preliminary version.)

3. Tung T. Nguyen, Jacqueline Đoàn, Federico Pasini, Ján Mináč, Lyle Muller, Join of normal matrices with constant row sums (submitted), (Arxiv version).

4. 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 (in preparation).

5. Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, On the arithmetic of generalized Fekete polynomials (submitted) (Arxiv version)

6. Jan Mináč, Lyle Muller, Duy Tan Nguyen, Tung T. Nguyen, On the Paley graph of a quadratic character (submitted) (Arxiv version)

7. 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.

8. Shiva Chidambaram, Ján Mináč, Duy Tan Nguyen, Tung T. Nguyen, Fekete polynomials of principal Dirichlet characters ( preliminary version. )

- 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 also wrote some of the things that I learned during my internship at Kibo Commerce. They are available here.

- In my free time, I worked on some side projects in Machine Learning and Data Science. These projects are documented here.

- 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.

- I have been an instructor for the Calculus sequence at UChicago (Calculus 1 through Calculus 3) for more than four years.

- 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.

- I mentored three students in the Directed reading program and two students in the REU program at UChicago.

- Co-supervised (joint with Ján Mináč and Lyle Muller) four students in the 2021 Fields Undergraduate Summer Research Program. We are completing a paper on spectral graph theory and matrix algebra.

- Co-supervised the PhD student Priya B. Chain (joint with Ján Mináč and Lyle Muller). Topic: Broadcasting solutions on multiplex systems of oscillator networks.

- Connecticut Number Theory 2022 Conference, Unniversity of Connecticut, June 2022 (note for my talk).

- Zassenhaus Groups and Friends Conference, Binghamton University, May 2022, (slide of my talk with minor modifications).

- Hanoi, Chicago, Boston and Western: A panoramic view of absolute Galois groups (joint talk with Ján Mináč),
joint seminar between
- Mini-workshop on Algebra and homogeneous spaces

- Online seminar on quadratic forms, linear algebraic groups and beyond

- Recorded talk and slide

- Fekete polynomials, quadratic residues, and arithmetic, GTA: Philadelphia 2021, May 2021 (slide).

- Some arithmetic properties of Fekete polynomials, Lightning talk, Front Range Number Theory Day, April 2021.

- Power sums and special values of L-functions, Algebra Seminar, Western University, March 2021, (slide).

- Heights and Tamagawa numbers of motives, Algebra Seminar, Western University, February 2021, (slide).

- Hurwitz zeta functions, What is ... a seminar? February 2021, (my note for the talk).

- Heights and Tamagawa numbers of motives, HUJI-BGU Number Theory Seminar, December 2020, (slide).

- Special values of the Riemann zeta function at negative integers, The Trojan Math Seminar, Troy University, December 2020. (slide).

- Heights and Tamagawa numbers of mixed motives, Interactions between Representation Theory and Algebraic Geometry, Chicago 2017 (poster session).

- 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.

- PI4-IMA fellowship, 2020 (see here)

- National Program for the Development of Mathematics scholarship, 2014 (see here)

- The prominent young students of Vietnam National University, 2012

- Watanabe-Kanda scholarship for outstanding students in the department of mathematics, 2012, 2013

- Honda Young Engineers and Scientists award for top 10 Vietnamese students in STEM fields, 2013 (see here.)

- Second prize in Vietnam Mathematical Olympiad, 2009.

Arizona Winter School 2017: Perfectoid spaces.

Interactions between Representation Theory and Algebraic Geometry.

Arizona Winter School 2018: Iwasawa theory.

Arithmetic of Low-Dimensional Abelian Varieties, ICERM 2019.

PCMI 2021 Graduate Summer School, Number Theory Informed by Computation, July 2021.

Western-Fields Seminar Series in Networks, Random Graphs, and Neuroscience.

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