معرفی
John Holmes is an Assistant Professor of Mathematics and Director of the Actuarial Science MAQRM Program at The Ohio State University (OSU). His research focuses on the analysis of partial differential equations (PDEs), particularly evolution equations and their well-posedness. He has supervised graduate students in mathematical finance and PDEs, including Michael Harmon, Rajan Puri, and Junpei Li. Holmes holds a Ph.D. from the University of Notre Dame and has held postdoctoral positions at OSU and Wake Forest University.
Education: B.A. from Wabash College (with distinction), M.S. in Applied Mathematics (Notre Dame), Ph.D. in Mathematics (Notre Dame), and additional M.S. in Mathematics (Notre Dame). Awards include the Carscallen Prize in Mathematics, Rogge Award in Economics, and Andree Award (Pi Mu Epsilon).
Research interests span PDE analysis, financial mathematics, and mathematical physics. Recent work emphasizes continuity properties of solutions, non-uniqueness in equations, and conservation laws. His articles frequently address equations like FORQ, ab-family, and Hunter-Saxton in Besov spaces.
Teaching roles include developing graduate courses on stochastic calculus for financial mathematics and overseeing OSU's actuarial program, one of the nation's top interdisciplinary programs. Holmes is also involved with the Math Alliance, promoting diversity in mathematics.
- Awards: Carscallen Prize, Rogge Award, Andree Award
- Grants/Advising: Advised three thesis students; organized AMS special sessions on nonlinear evolution equations
- Labs/Teams: Involved in OSU's PDE seminar and actuarial science initiatives
