معرفی
Pat Hooper is a Professor and Chair in the Department of Mathematics at City College of New York (CCNY), part of the City University of New York (CUNY) system. He also serves as doctoral faculty at the CUNY Graduate Center and advises mathematics majors. Hooper joined CCNY in 2010 after holding a Boas Assistant Professorship at Northwestern University.
His educational background includes:
- PhD in Mathematics from Stony Brook University (2006)
- Graduate studies at Stony Brook University and Yale University
- Undergraduate degree from University of Maryland, where he participated in the Experimental Geometry Lab
Hooper's research focuses on dynamical systems defined by piecewise continuous maps that preserve geometric structures, with particular emphasis on connections to Teichmüller theory, hyperbolic geometry, and low-dimensional topology. His work explores:
- Interval exchange transformations and their ergodic properties
- Billiards in polygons and polygonal surfaces
- Translation surfaces and their moduli spaces
- Renormalization techniques in infinite dynamical systems
- Geometric structures arising from tilings and combinatorial patterns
His publications demonstrate consistent focus on dynamical systems and geometric structures, with recent work exploring eigenfunctions on translation surfaces, infinite covers, and novel surface constructions like the Necker cube surface. The research frequently combines ergodic theory, topological methods, and geometric analysis to investigate renormalization phenomena.
Hooper teaches advanced courses including Topology, Dynamical Systems, Advanced Calculus, and Combinatorics. He mentors students through independent studies and research projects, including the IT-ROCS REU program where students present applied mathematics research. His graduate students have progressed to PhD programs at CUNY's Graduate Center.
