My name is Anh N. Le. I'm an assistant professor at University of Denver. Previously, I was a postdoc at Ohio State University working with Dr. Vitaly Bergelson. I did my PhD at Northwestern University where my advisor was Dr. Bryna Kra.   

Address: Knudson Hall, 2390 S. York St, Denver, CO 80210.  

Email: anh.n.le@du.edu.  

Here is my CV.

Research Interests  

My research interests lie mainly in ergodic theory and dynamical systems, with an emphasis on applications to combinatorics and number theory. 

Publications and Preprints

1. A structure theorem for polynomial return-time sets in minimal systems

(with. D. Glasscock, A. Koutsogiannis, J. Moreira, F. Richter, and D. Robertson), submitted.

2. On subshifts with low maximal pattern complexity

(with R. Pavlov and C. Schlortt), submitted.

3. On sets of pointwise recurrence and dynamically thick sets

(with D. Glasscock), submitted.

4. Dynamically syndetic sets and the combinatorics of syndetic, idempotent filters

(with D. Glasscock), submitted.

5. Bohr sets in sumsets I: compact groups.
   (with T. H. Lê), Discrete Analysis, 2025:11, 37 pp. [journal]

6. Interpolation sets for dynamical systems

(with A. Koutsogiannis, J. Moreira, R. Pavlov, and F. Richter), Transactions of the American Mathematical Society, 378 (2025), no. 2, 1373–1400. [journal] 

7. Intersective sets for sparse sets of integers

(with P.-Y. Bienvenu, J. Griesmer, and T. H. Lê), Ergodic Theory and Dynamical Systems, 45 (2025), no. 5, 1370-1402. [journal] 

8. Averages of completely multiplicative functions over the Gaussian integers--a dynamical approach

(with S. Donoso, J. Moreira, and W. Sun), Transactions of the American Mathematical Society, 377 (2024), no. 10, 7081–7115. [journal]

9. Bohr sets in sumsets II: countable abelian groups.
   (with J. Griesmer and T. H. Lê), Forum of Mathematics, Sigma, 11 (2023), E57. [journal]

10. Additive averages of multiplicative correlation sequences and applications.
    (with S. Donoso, J. Moreira and W. Sun), Journal d'Analyse Mathématique, 149 (2023), 719-761. [journal]

11. Sublacunary sets and interpolation sets for nilsequences.
    Discrete and Continuous Dynamical Systems, 22 (2022), no. 4, 1855-1871. [journal]

12. A decomposition of multicorrelation sequences for commuting transformations along primes.
    (with J. Moreira and F. Richter), Discrete Analysis, 2021:4, 27 pp. [journal]

13. Multidimensional configurations in the primes with shifted prime steps.
    (with T. H. Lê), Acta Mathematica Hungarica, 164 (2021), no. 1, 1-14. [journal]

14. Optimal lower bounds for multiple recurrence.
    (with S. Donoso, J. Moreira and W. Sun), Ergodic Theory and Dynamical Systems, 41 (2021), no. 2, 379–407. [journal]

15. Structure of multicorrelation sequences with integer part polynomial iterates along primes.
    (with A. Koutsogiannis, J. Moreira and F. Richter), Proceedings of the American Mathematical Society, 149 (2021), 209-216.  [journal]

16. Interpolation sets and nilsequences.
    Colloquium Mathematicum, 162 (2020), 181–199.  [journal]

17. Nilsequences and multiple correlations along subsequences.
    Ergodic Theory and Dynamical Systems, 40 (2020), no. 6, 1634–1654.  [journal]

Various links

• University of Denver Mathematics Department

• Ohio State Mathematics Department

• Northwestern Mathematics Department