## Nathan Green

**Office:** AP&M 6434

**E-mail:** n2green [AT] ucsd.edu

**Note:** Next year I will be working at Louisiana Tech University in Ruston, LA as an assistant professor.

## Research Interests

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.

## Interdisciplinary Art Grant

In 2019-2020 I worked with UCSD MFA student Grace Grothaus to create a visual represenation of my research in transcendental number theory. Here is a small sample of the completed project, called "Transcendere". Our work was funded by a mini-grant from the Research Communications Program of UCSD Physical Sciences.

You can also see a short video clip showing the effect the iridescent inks give the painting. The painting will be displayed in the AP&M building at UCSD once school returns to normal.
## Teaching

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

Math 20B - Fall 2019 - Course Webpage

Math 18 - Spring 2019 - Course Webpage

Math 103B - Winter 2019 - Course Webpage

Math 20A - Winter 2019 - Course Webpage

Math 102 - Fall 2018 - Course Webpage

## CV

Current CV here (updated Aug. 2020)
## Papers

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

Submitted for publication, 50 pages (2020) [pdf | arxiv]

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

Submitted for publication, 41 pages (2020) [pdf | arxiv]

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

Submitted for publication, 41 pages (2020) [pdf | arxiv]

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

*Math. Annalen* (accepted for publication), 40 pages (2020) [pdf | arxiv]

Special zeta values using tensor powers of Drinfeld modules

*Math. Res. Letters*, vol. 26, (2019), no. 6, 1629 – 1676. [journal | arxiv]

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

*Journal of Number Theory* (accepted for publication), 28 pages (2019) [pdf | arxiv]

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)

*Research in the Mathematical Sciences (RMS)*, 5 (2018), no. 1, Paper No. 4, 47 pp. [journal | arxiv]

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

*The Ramanujan Journal*, (2016), 1-26 [journal | arxiv]

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

*Proc. Amer. Math. Soc.* 143 (2015), no. 3, 965-972 [journal]