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Administrative data

Joachim Krieger

joachim.krieger@epfl.ch +41 21 693 54 31

Nationality: Swiss

EPFL SB MATH PDE
MA C1 627 (Bâtiment MA)
Station 8
1015 Lausanne

Mission

The PDE group at EPFL conducts research on nonlinear partial differential equations which arise in mathematical physics, particularly geometric wave equations. We aim at rigorously proving theorems about existence of solutions, ideally without any restrictions on data, as well as analyzing theoretically the asymptotic features of such solutions. Some of the motivation comes from numerical experiments conducted by physicists, which we try to put on solid theoretical foundation. Particular areas of interest are stability/instability of soliton type solutions, as well as precise blow up dynamics of solutions. A further area of interest is the control and stabilisation of solutions. 
Professor Joachim Krieger is Full Professor at EPFL. He obtained his Bachelor Degree from Harvard University in 1999, and his Ph. D. from Princeton University in 2003. After spending one semester as a member at the Institute for Advanced Study, Princeton, he spent three and a half years at Harvard University as a Benjamin Peirce Instructor. 
In 2007 he became Tenure Track Assistant Professor at The University of Pennsylvania(UPenn) in Philadelphia, in 2008 he was named initial Calabi Assistant Professor and Sloan Fellow, and in 2009 he obtained Tenure at UPenn. In 2010 he became Associate Professor at EPFL, and was promoted to Full Professor there in 2014.   

Teaching & PhD

PhD Students

Dylan Samuelian, Timon Miehling, Jaime Gómez Ramírez

Past EPFL PhD Students

Sohrab Mirshams Shahshahani, Can Gao, Gérôme Graf, Stefano Francesco Burzio, Gaspard Ohlmann, Yang Liu, Katie Marsden

Courses

Analysis III - complex analysis and vector fields

MATH-200

To learn the basic tools of vector analysis and complex analysis.

Harmonic analysis

MATH-405

An introduction to methods of harmonic analysis. Covers convergence of Fourier series, Hilbert transform, Calderon-Zygmund theory, Fourier restriction, and applications to PDE.

Introduction to dynamical systems

MATH-523

An introduction to some key concepts and theorems from dynamical systems, including discrete dynamical systems as well as flows.

Topics in dispersive PDE

MATH-659

This course assumes familiarity with beginning graduate level real analysis, complex analysis and functional analysis, and also basic harmonic analysis, as well as fundamental concepts from differential geometry.