Contact: Office: E-mail: Tel:   Department of Mathematics University of Sussex                 Pevensey Buildings, Falmer Campus Brighton BN1 9QH Pevensey 3, Room 5c5 g.koch "at" sussex.ac.uk 01273 873076

Gabriel S. Koch   Lecturer in Mathematics   University of Sussex, Mathematics   Ph.D. 2006, University of Minnesota, Mathematics Partial Differential Equations Ph.D. Advisor: Vladimír Šverák

Isabelle Gallagher, Gabriel Koch and Fabrice Planchon. A profile decomposition approach to the L^∞_t (L³_x) Navier-Stokes regularity criterion. Math. Ann. (published online July 2012), 355(4):1527-1559, 2013.

Hajer Bahouri, Albert Cohen and Gabriel Koch. A general wavelet-based profile decomposition in the critical embedding of function spaces. Confluentes Mathematici (CM) 3(3):387-411, 2011.

Gabriel Koch. Profile decompositions and applications to Navier-Stokes. In Journees "Equations aux Derivees Partielles" (Port d'Albret, 2010), Exp. No. 12, 13. 2010.

Gabriel S. Koch. Profile decompositions for critical Lebesgue and Besov space embeddings. Indiana Univ. Math. J., 59:1801--1830, 2010.

Carlos E. Kenig and Gabriel S. Koch. An alternative approach to the Navier-Stokes equations in critical spaces. Ann. I. H. Poincare -- AN, 28(2):159 -- 187, 2011.

Gabriel Koch, Nikolai Nadirashvili, Gregory A. Seregin, and Vladimír Šverák. Liouville theorems for the Navier-Stokes equations and applications. Acta Math., 203(1):83--105, 2009.

1996-1999: B.A., Mathematics with honors, Magna Cum Laude, Brandeis University

2000-2006: Ph.D., Mathematics, University of Minnesota (advisor: Vladimír Šverák)

2006-2009: L. E. Dickson Instructor, Department of Mathematics, University of Chicago (mentor: Carlos E. Kenig)

2009-2011: Postdoctoral Research Fellow, Oxford Centre for Nonlinear PDE (OxPDE), Mathematical Institute, Oxford University (mentor: Gregory Seregin)

2011-present: Lecturer in Mathematics, Mathematics Department, University of Sussex

2012: Lecturer, Institute for Mathematics, University of Zürich