I work on partial differential equations which are often motivated from the geometric calculus of variations, one example being harmonic maps between manifolds and various generalizations thereof. In particular I am interested in regularity theory of such local or nonlocal equations. The techniques are usually combinations of geometric considerations and harmonic analysis, e.g. commutator estimates and compensation effects, which also have applications in quantitative estimates in Topology.
Currently, I am an Assistant Professor at the University of Pittsburgh.
2017- | Assistant Professor, University of Pittsburgh |
2016-2017 | DFG Heisenberg Fellow, University of Freiburg |
2014-2016 | Postdoc, Group of Enno Lenzmann, University of Basel |
2011-2014 | Postdoc, Group of Jürgen Jost, Max-Planck Institute MIS Leipzig |
2011 | Postdoc, FIM ETH Zürich |
Habilitation in Mathematics, 2016
University of Freiburg
PhD in Mathematics, 2010
RWTH Aachen
Diplom in Mathematics, 2007
RWTH Aachen
Math 420: Introduction to Analysis, Spring 2020.
Partial Differential Equations 2, Fall 2019.
Partial Differential Equations 1, Spring 2019.
Calculus of Variations, Spring 2018.
Calculus 2, Fall 2017.
Seminar on Nash Embedding theorem, SS 2017, University of Freiburg.
Partielle Differentialgleichungen II, WS 2016/ 2017, University of Freiburg.
Reelle Anlaysis, HS 2015, University of Basel.
Funktionalanalysis, FS 2015, University of Basel.
Heisenberg group
MengerSponge flythrough in Virtual Reality
Visualization of curvature flow
Currently I receive research funding as the P.I. from the following sources - Simons foundation grant no 579261 (2018-2023)
Previously I receive research funding as the P.I. from the following sources - German Research Foundation (DFG), Grant SCHI-1257-3-1 (2016-2018) - Daimler-Benz foundation (2017-2018)
Moreover I was P.I. in the following education-related projects (together with my co-PIs: Ryan Alvarado, Dana Miller-Cotto, Tom Everest)
Provost’s Personalized Education Grant, Seed funding, (2018-2019)
dB-Serc, Course Tansformation Award, (2018-2019)
2018 | Provost’s Personalized Education Seed Funding (USD 26306) |
2018 | dB-Serc Course Tansformation Award (USD 9999) |
2017 | Daimler und Benz Stiftung Grant (40000 Euro) |
2016 | VolkswagenStiftung-Grant for Summerschool 2017 “Modern Knot Theory” (82200 Euro) |
2015 | DFG-Grant “Nichtlokale Differentialgleichungen in Analysis und Geometrie” (36 month, 186200 Euro) |
DFG-Heisenberg Fellowship | |
SNF-Ambizione Fellowship, 3 years, (402813 CHF, declined in favor of Heisenberg) | |
2014 | SNF (19800 CHF): International Exploratory Workshop: Workshop on Knots in Theory and the Sciences |
2012 | DAAD PostDoc Program (D/12/40670) to University of Pittsburgh (Sep. 2012 - Aug. 2013) |
2011 | DAAD PostDoc Program (D/10/50763) to ETH Zürich (Mar 2011 - Aug 2011) |
2008 | Studienstiftung des Deutschen Volkes (PhD program, Jul 2008 - Sep 2010) |
Stipendium nach Richtlinien zur Förderung des wissenschaftlichen Nachwuchses an der RWTH Aachen (Apr - May 2008) | |
2007 | Graduiertenkolleg Hierarchie und Symmetrie in mathematischen Modellen (Dec 2007 - Mar 2008) |
2003 | Studienstiftung des Deutschen Volkes (student program, Apr. 2003 - Sep. 2007) |
June 17 - 28, 2019 | Bagel19 (Summerschool and Workshop) |
2018 | Geometric PDEs in Freiburg 2018 (U Freiburg) |
2017 | Summer School on modern knot theory (U Freiburg) |
2016 | Analysis and Numerics In Curvature Energies-Meeting (U Freiburg) |
2015 | Geometric Energies with Links to Applications, Topology and Open problems (U Basel) |
2014 | Curvature - Applications - Knots - Energies (MPI MIS Leipzig 2014) |
a short curriculum:
2017 | Assistant Professor, University of Pittsburgh |
01. September 2017 | |
2016 | Habilitation, Universität Freiburg |
01. July 2016 | |
2016 | Heisenberg Fellow, Universität Freiburg |
February 2016 - August 2017 | |
2014 | Postdoctoral Lecturer, Universität Basel |
August 2014 - January 2016 | |
2013 | Postdoc, Max-Planck Institute for Mathematics Leipzig |
August 2013 - July 2014 | |
2012 | Postdoc, University of Pittsburgh |
September 2012 - July 2013 | |
2011 | Postdoc, Max-Planck Institute for Mathematics Leipzig. Research group: Geometry, Analysis and Theoretical Physics, VARIOGEO of Prof. J. Jost |
December 2011 - August 2012 | |
2011 | Japanese Language Student in Fukuoka, Japan |
October 2011 - November 2011 | |
2011 | Postdoc, FIM, ETH Zürich |
financed by ETH Zürich, DAAD | |
February 2011 - September 2011 | |
2010 | Teaching Assistant at Institut für Mathematik, RWTH Aachen |
October 2010 - February 2011 | |
2010 | PhD in Mathematics |
supervisor: Prof. Dr. H. von der Mosel | |
22. September 2010 | |
2007 | Graduate Student at Institut für Mathematik, RWTH Aachen |
December 2007 - September 2010 | |
2007 | Diploma in Mathematics |
supervisor: Prof. Dr. H. von der Mosel | |
30th November 2007 | |
2004 | Student at RWTH Aachen |
October 2005 - November 2007 | |
2005 | Visiting student at Universidad Autononoma de Madrid |
October 2004 - September 2005 | |
2002 | Student at RWTH Aachen |
April 2002 - September 2004 | |
2002 | Abitur at Westerwaldgymnasium Altenkirchen |
March 2002 |