# Jacob Carruth

Postdoctoral Research Associate

Department of Mathematics

Princeton University

## About

I received my PhD in 2019 from the University of Texas at Austin. I was fortunate to have Arie Israel as my advisor. Click here to see my CV.

## Research

I currently work in adaptive control theory and on Whitney extension problems. I am also interested in Fourier analysis.

Select papers:

**Almost Optimal Agnostic Control of Unknown Linear Dynamics** (with M. Eggl, C. Fefferman, and C. Rowley)

preprint (2023)
**An example related to Whitney's extension problem for $L^{2,p}(\mathbb{R}^2)$ when $1<p<2$** (with A. Israel)

to appear in Adv. Nonlinear Stud. (2024), arXiv: 2312.07642
**A Bounded Regret Strategy for Linear Dynamics with Unknown Control**

arXiv: 2311.13365 (2023)
**Controlling Unknown Linear Dynamics with Almost Optimal Regret** (with M. Eggl, C. Fefferman, and C. Rowley)

arXiv: 2309.10142 (2023)
**Optimal Agnostic Control of Unknown Linear Dynamics in a Bounded Parameter Range** (with M. Eggl, C. Fefferman, and C. Rowley)

arXiv: 2309.10138 (2023)
**The norm of linear extension operators for $C^{m-1,1}(\mathbb{R}^n)$** (with A. Frei-Pearson and A. Israel)

Adv. Math. **410** (2022), Part A, 95 pages. pdf
**Controlling unknown linear dynamics with bounded multiplicative regret** (with M. Eggl, C. Fefferman, C. Rowley, M. Weber)

Rev. Mat. Iberoam. **38** (2022), no. 7, 2185-2216. pdf
**The Beurling-Selberg Box Minorant Problem via Linear-Programming Bounds** (with N. Elkies, F. Goncalves, M. Kelly)

arXiv: 1702.04579 (2022)
**A coordinate-free proof of the finiteness principle for Whitney's extension problem** (with A. Frei-Pearson, A. Israel, B. Klartag)

Rev. Mat. Iberoam. **36** (2020), no. 7, 1917-1956. pdf
**A comparison of the discrete Kolmogorov-Smirnov statistic and the Euclidean distance** (with M. Tygert and R. Ward)

arxiv: 1206.6367(2012)