John H. Hubbard

John H. Hubbard is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He earned his Doctorat d'État from Université de Paris Sud in 1973. His research focuses on analysis, applied mathematics, differential equations, and complex dynamics. Hubbard is renowned for foundational work in complex dynamics, including contributions to understanding the Mandelbrot set and dynamics in several complex variables.

Education:

• Doctorat d'État, Université de Paris Sud, 1973

Research Interests:

• Analysis of differential equations
• Complex dynamics (e.g., iterative systems, fractals)
• Geometry (differential geometry, Teichmüller theory)
• Experimental mathematics using computational tools

Notable Contributions:

• Co-author of foundational papers on dynamics in several complex variables
• Key contributor to the proof of the Mandelbrot set's connectivity
• Author of influential textbooks including Vector Calculus, Linear Algebra, and Differential Forms

Advising and Grants:

• Doctoral advisees include Sarah Koch
• Recipient of grants supporting research in dynamical systems and Teichmüller theory

Labs/Teams:

• Collaborations with institutions like Université de Provence and the Cornell Mathematics Department
• Leadership in research groups focusing on complex dynamics and geometric analysis