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Welcome

AIM

My research is supported in part by the American Institute of Mathematics (AIM) and the National Science Foundation (NSF), grant Focus Research Group DMS-1854398, FRG: Averages of L-functions and Arithmetic Stratification.

Research Interests

Analytic/multiplicative number theory, prime numbers, divisor sums, moments and ratios of L-functions, random matrix theory.

CV

Research

Publications

  1. (with C. Banderier, C. Krattenthaler, A. Krinik, D. Kruchinin, V. Kruchinin, and M. Wallner) Explicit Formulas for Enumeration of Lattice Paths: Basketball and the Kernel Method, Dev. Math. 58 (2019), Springer, 78-118. [Link to published version: https://doi.org/10.1007/978-3-030-11102-1_6]

  2. Generalized divisor functions in arithmetic progressions: I, J. Number Theory 227 (2021), 30-93. [Link to published version: https://doi.org/10.1016/j.jnt.2021.03.021]


Thesis

Topics in Multiplicative Number Theory, Thesis (Ph.D.)–University of California, Santa Barbara. 2021. 187 pp. ISBN: 979-8544-27846-7 ProQuest LLC, Retrieved from https://escholarship.org/uc/item/4527r940


Preprints

  1. Variance of the k-fold divisor function in arithmetic progressions for individual modulus (2022) (submitted for publication)

  2. On correlation of the 3-fold divisor function with itself (2022) (link to supplement Mathematica files)

About Me

My name is David Nguyen. I have a popular Vietnamese last name and it is best pronounced Gwin in English. I completed my Ph.D. training in Analytic number theory in 2021 at the University of Californina, Santa Barbara Campus, where my advisor was Professor Yitang Zhang. I then spend a year as an FRG Postdoc at AIM, as part of a grant from the NSF (number DMS-1854398). My postdoc mentor at AIM is Professor J. Brian Conrey. Beginning August 2022, I will be a Coleman Postdoc at Queen's Univeristy, working under the suppervision of Professor Brad Rodgers.

A short essay I wrote in 2015, as part of my graduate school application, about my contributions to diversity stemming from my personal achievements is included below.
Essay PDF

My path to math and, in particular, to analytic number theory is explored in the brief article I wrote at around the same time below.
Article PDF

Math Genealogy, MathSciNet, ResearchGate, arXiv, OEIS

Cal Poly Pomona Golden Leaves Author Awards 2022 - Alumni Category

张益唐, Portrait Magazine (in Chinese) (2019)

Math Superbowl, SB News-Press (2019)

2018 Lehmer Prize

David Nguyen [Photo by Brian Conrey]