**Office:** Nethken 221

**E-mail:** ngreen [AT] latech.edu

I am an assistant professor in mathematics at Louisiana Tech University in Ruston, LA.

My research is in algebraic number theory and focuses on special values of zeta functions, multiple zeta functions and L-functions in function fields. In particular, I apply techniques from Drinfeld modules to study these special values. One of the main goals driving my research is to understand the transcendence of and algebraic relations between these special values.

My work is currently supported by:

Research Competitiveness Subprogram grant (RCS) funded by the Board of Regents of the state of Louisiana - 06/23 through 06/26 - $148,109

NSF Algebra and Number Theory grant 2302399 - 09/23 through 09/26 - $139,074

You can also see a short video clip showing the effect the iridescent inks give the painting. The painting is displayed in the AP&M building at UCSD.

2023 - 2024 - See Canvas

Math 416 - Spring 2022 - Course Webpage

Math 470 - Winter 2022 - Course Webpage

Math 408 - Fall 2021 - Course Webpage

Math 20B - Summer 2021 - Course Webpage

Math 103B - Spring 2021 - Course Webpage

Math 20A - Winter 2021 - Course Webpage

Math 103A - Winter 2021 - Course Webpage

Math 20B - Fall 2020 - Course Webpage

Math 103B - Winter 2020 - Course Webpage

Math 102 - Fall 2019 - Course Webpage

Submited for publication, 35 pages (2024) [pdf | arxiv]

A Motivic Pairing and the Mellin Transform in Function Fields

Submited for publication, 32 pages (2022) [pdf | arxiv]

An Equivariant Tamagawa Number Formula for t-Modules and Applications (With C. Popescu)

Submited for publication, 27 pages (2022) [pdf | arxiv]

On log-algebraic identities for Anderson t-modules and characteristic p multiple zeta values (With T. Ngo Dac)

Algebraic Relations Among Special Zeta Values on Elliptic Curves (With T. Ngo Dac)

An Equivariant Tamagawa Number Formula for Drinfeld Modules and Applications (With J. Ferrara, Z. Higgins and C. Popescu)

Taylor Coefficients of t-Motivic Multiple Zeta Values and Explicit Formulae (With C. Y. Chang and Y. Mishiba)

Special zeta values using tensor powers of Drinfeld modules

Note: This version contains a couple extra details in the proof of Theorem 6.2 compared to the published version.

Tensor powers of rank 1 Drinfeld modules and periods

Tensor powers of Drinfeld modules and zeta values

Ph.D. thesis, Texas A&M University (2018) [pdf]

Special L-values and shtuka functions for Drinfeld modules on elliptic curves (with M. Papanikolas)

Integral traces of weak Maass forms of genus zero (with P. Jenkins)

Singular moduli for a distinguished non-holomorphic modular function (with V. Dose, M. Griffin, T. Mao, L. Rolen, L. Willis)