**Daniel Keliher **(he/him)

### Limited Term Assistant Professor

### University of Georgia

### Dept. of Mathematics

### Boyd Research Center 642

## Information

Since Fall 2022, I am a limited term assistant professor at the University of Georgia working in the Arithmetic Geometry and Number Theory Group. Broadly speaking, my interests include number theory, arithmetic statistics, and arithmetic geometry. I recived my PhD in mathematics from Tufts University where I was supervised by Robert Lemke Oliver. I graduated from Brown in 2017 and earned my Master's from Tufts in 2019.

I can be reached at mylastname(at)uga(dot)edu. Here is my CV.

## Research

I am mainly interested in number theory and arithmetic statistics. Here are my papers/preprints:

*Comparing the Density of D*_{4 }*and S*_{4 }*Extensions of Number Fields*, with Matt Friedrichsen [Proc. Amer. Math. Soc. 149 (2021), 2357-2369; arXiv]*Enumerating**D*_{4 }*Quartics and a Galois Group Bias Over Function Fields*[arXiv, accepted by Journal de Théorie des Nombres de Bordeaux]*Mertens' Theorem for Chebotarev Sets,*with Santiago Arango-Piñeros and Chris Keyes [arXiv, accepted by International Journal of Number Theory]*Rank Growth of Elliptic Curves in**S*_{4 }*and A*_{4 }*Extensions of the Rationals*[arXiv]*Exceptional Biases over Function Fields*, with Alexandre Bailleul, Lucile Devin and Wanlin Li [In preparation]

I have also worked in computational genomics. The papers and abstracts below are the result of collaboration with Eli Van Allen, David Liu, and others at the Dana-Farber Cancer Insitute. My contributions primarily dealt with applications of non-negative matrix factorization to problems about mutational signatures. Check out related work from the Van Allen Lab. Though this is not my current research focus, I am very interested in revisiting some of these ideas with topological methods. Research from this work can be found at PubMed or on Google Scholar. Here are the highlights:

D. Liu, P. Abbosh, D. Keliher, et al.

*Mutational patterns in chemotherapy resistant muscle-invasive bladder cancer*. Nature Communications (2017)D. Miao, P. Rescigno, D. Liu, et al.

*Genomic correlates of response to immune checkpoint blockade in microsatellite-stable solid tumors*. Nature Genetics (2018)D.N. Rodrigues, P. Rescigno, D. Liu, et al.

*Immunogenomic analyses associate immunological alterations with mismatch repair defects in prostate cancer*. The Journal of Clinical Oncology (2019)B. Reardon, N. D. Moore, N. Moore, et al.

*Clinical interpretation of integrative molecular profiles to guide precision cancer medicine*(bioRXiv preprint, 2020)

## Teaching

*Current Teaching, Fall 2022*

Instructor of Record for Math 2260: Calculus II, Spring 2023

*Past Teaching at UGA*

Instructor of Record for Math 2250: Calculus I, Fall 2022 (2 sections)

*Past Teaching at Salve Regina:*

Instructor of Record for MTH-171-02: Mathematics in the Social Sciences, Spring 2021

*Past **T**eaching at Tufts:*

Head TA + TA for Math 32 recitation, AY2021

Instructor of Record for MATH-0019: Mathematics of Social Choice, Summer 2021

Instructor of Record for MATH-0021: Introductory Statistics, Spring 2020 and Summer B 2020 (syllabus)

Instructor of Record for MATH-0030: Introduction to Calculus, Summer 2019

Recitation Instructor for MATH-0032: Calculus I, Fall 2019

## Other Stuff

For many years I organized the Tufts University Directed Reading Program (DRP). In Fall 2022, I participated in the Spelman-Morehouse DRP.

From Spring 2019 to Fall 2021, I organized the Tufts Math Graduate Student Seminar, which is now run by J.C. Wang.