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)