I am a postdoctoral researcher at EPFL in the Chair of Partial Differential Equations directed by Prof. Joachim Krieger.
Prior to that I obtained a PhD in December 2020 at the Karlsruhe Institute of Technology (KIT) and the Collaborative Research Center 1173 "Wave Phenomena: analysis and numerics". During 09/2019 - 12/2019 I was a visiting student at EPFL.
Contact: EPFL SB MATH PDE mail: tobias dot schmid at epfl dot ch
Batiment MA
Station 8
CH-1024 Lausanne
Publications/Preprints:
Biharmonic wave maps: local wellposedness in high regularity, Nonlinearity 33 (5), 2270 - 2305 (with S Herr, T Lamm and R Schnaubelt), arXiv
Energy bounds for a fourth-order equation in low dimensions related to wave maps, Proc. Amer. Math. Soc. 151 (01), 225 - 237, arXiv
Global results for a Cauchy problem related to biharmonic wave maps, arXiv preprint, arXiv
Blow up dynamics for the 3D energy-critical nonlinear Schrödinger equation, arXiv preprint, arXiv (123 pages)
Blow up dynamcis for the critical Zakharov system (with J Krieger), in preparation
Short CV:
Jan 2021 - now: Collaborateur Scientifique (Postdoc) : École Polytechnique Fédérale de Lausanne (EPFL)
Oct 2016 -Dec 2020: PhD: Karlsruhe Institue of Technology (KIT)/ DFG CRC1173 "Wave Phenomena: Analysis and Numerics"
2011 - 2016: Studies of Mathematics and Computer Science (MSc/BSc)
Thesis:
Local wellposedness and global regularity results for biharmonic wave maps, PhD Thesis Dec. 2020, Repository KITopen
Moving frames and elliptic systems, Master's Thesis
Teaching (recent):
Fall 21: TA ' Algèbre linéaire ' MATH-111(g) (Lausanne)
Spring 21: TA ' Harmonic Analysis ' Math-405 (Lausanne)
Spring 21: TA ' Harmonic Analysis ' Math-405 (Lausanne)