Jacob Carruth

Jacob Carruth is a Postdoctoral Research Associate in the Department of Mathematics at Princeton University. His academic focus includes adaptive control theory, Whitney extension problems, and Fourier analysis. He earned his PhD in 2019 from the University of Texas at Austin under the advisement of Arie Israel. His research explores theoretical control systems and mathematical analysis, with notable contributions to adaptive control strategies for unknown linear dynamics and extensions of Whitney's theorem in functional spaces.

Education:

• PhD in Mathematics, 2019, University of Texas at Austin (Advisor: Arie Israel)

Research Interests:

• Adaptive control theory with applications to uncertain linear systems
• Whitney extension problems in Sobolev spaces and geometric analysis
• Fourier analysis methods in extremal problems and approximation theory

His work bridges pure mathematics and applied control theory, addressing fundamental questions in system dynamics and function extensions.

Recent Research Trends: His publications emphasize regret minimization strategies, optimal control under parameter uncertainty, and functional analysis techniques. Key themes include developing bounded-regret algorithms for linear systems and advancing understanding of extension operators for function spaces.

Lab/Team Affiliations: Currently affiliated with Princeton University Mathematics Department's research groups in analysis and control theory.