Markus Keel

Markus Keel is a Professor at the School of Mathematics, Department of Mathematics, University of Minnesota. He holds a B.S. in Mathematics from the University of Chicago and a Ph.D. in Mathematics from Princeton University.

• Education:
  • University of Chicago - B.S. in Mathematics
  • Princeton University - Ph.D. in Mathematics

Research Interests
Markus Keel's research focuses on Partial Differential Equations (PDEs), with significant contributions to Real Analysis, Harmonic Analysis, and Functional Analysis. His work addresses fundamental questions in Global Well-Posedness, Scattering Theory, and Instability Phenomena for nonlinear PDEs such as the Nonlinear Schrödinger Equation, Korteweg-de Vries (KdV) Equation, and Wave Equations.

Research Trends
Keel's publications highlight his expertise in analyzing the behavior of solutions to nonlinear dispersive equations. Key areas include Energy-Critical PDEs, High-Frequency Dynamics, and Resonant Interactions, often employing techniques like the I-Method, Multilinear Estimates, and Strichartz Inequalities. His collaborations with prominent mathematicians like Terence Tao, James Colliander, and Gigliola Staffilani reflect a strong emphasis on advancing theoretical frameworks for nonlinear partial differential equations.

Contact Information
Email: keel@umn.edu
Phone: (612) 624-6341
Address: 222 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455