Matthias Kurzke

Contact

• workRoom B10 The Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514984
• Matthias.Kurzke@nottingham.ac.uk

Biography

I studied mathematics and physics in Mainz and Bonn, graduating as a Diplom-Mathematiker in 1999 (supervised by Stefan Hildebrandt). I obtained my PhD in 2004 from the University of Leipzig, with a thesis on "Analysis of boundary vortices in thin magnetic films" completed under the supervision of Stefan Müller. After various postdoctoral stages (Max Planck Institute Leipzig 2003-2004, IMA, University of Minnesota 2004-2006, Humboldt University Berlin 2006-2007) I worked at the University of Bonn as non-tenure track Assistant Professor (2007-2013), at the KIT Karlsruhe as a temporary full professor (2009-2010), obtained my habilitation degree from Bonn in 2012, and finally came to Nottingham as an Associate Professor in 2013.

Selected Publications

• DONDL, PATRICK W., KURZKE, MATTHIAS and WOJTOWITSCH, STEPHAN, 2019. The Effect of Forest Dislocations on the Evolution of a Phase-Field Model for Plastic Slip Archive for Rational Mechanics and Analysis. 232(1), 65-119
• KURZKE, MATTHIAS, MARZUOLA, JEREMY L. and SPIRN, DANIEL, 2017. Gross-Pitaevskii vortex motion with critically-scaled inhomogeneities SIAM Journal of Mathematical Analysis. 49(1), 471--500

• View all publications

I am looking for postgraduate students in Applied Analysis, a branch of pure mathematics that studies problems connected to applications with rigorous methods. Examples for possible projects can be found here, mostly connected to the dynamics of (almost) singularities. If you like rigorous mathematics and are not afraid of partial differential equations, I would be happy to receive your application.

• DONDL, PATRICK W., KURZKE, MATTHIAS and WOJTOWITSCH, STEPHAN, 2019. The Effect of Forest Dislocations on the Evolution of a Phase-Field Model for Plastic Slip Archive for Rational Mechanics and Analysis. 232(1), 65-119
• KURZKE, MATTHIAS, MARZUOLA, JEREMY L. and SPIRN, DANIEL, 2017. Gross-Pitaevskii vortex motion with critically-scaled inhomogeneities SIAM Journal of Mathematical Analysis. 49(1), 471--500
• KURZKE, MATTHIAS, MELCHER, CHRISTOF and MOSER, ROGER, 2014. Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Applied Magnetic Field. In: GRIEBEL, MICHAEL, ed., Singular Phenomena and Scaling in Mathematical Models Springer International Publishing. 113-132
• KURZKE, MATTHIAS, MELCHER, CHRISTOF, MOSER, ROGER and SPIRN, DANIEL, 2014. Vortex dynamics in the presence of excess energy for the Landau–Lifshitz–Gilbert equation Calculus of Variations and Partial Differential Equations. 49(3-4), 1019-1043
• KURZKE,MATTHIAS and SPIRN,DANIEL, 2014. Vortex liquids and the Ginzburg-Landau equation Forum of Mathematics, Sigma. 2, e11
• MATTHIAS KURZKE and DANIEL SPIRN, 2013. Erratum to: Quantitative equipartition of the Ginzburg-Landau energy with applications, volume 59:6 (2010), 2077-2092 Indiana Univ. Math. J.. 62, 357-357
• KURZKE, M., MELCHER, C. and MOSER, R., 2011. Vortex motion for the Landau-Lifshitz-Gilbert equation with spin-transfer torque SIAM Journal on Mathematical Analysis. 43(3), 1099-1121
• KURZKE, M., MELCHER, C., MOSER, R. and SPIRN, D., 2011. Ginzburg-Landau vortices driven by the Landau-Lifshitz-Gilbert equation Archive for Rational Mechanics and Analysis. 199(3), 843-888
• KURZKE, MATTHIAS and SPIRN, DANIEL, 2011. Γ-stability and vortex motion in type II superconductors Comm. Partial Differential Equations. 36(2), 256-292
• KURZKE, MATTHIAS and SPIRN, DANIEL, 2010. Quantitative equipartition of the Ginzburg-Landau energy with applications Indiana Univ. Math. J.. 59(6), 2077-2092
• KURZKE, MATTHIAS, 2010. Compactness results for Ginzburg-Landau type functionals with general potentials Electron. J. Differential Equations. No. 28, 9
• KURZKE, M., MELCHER, C., MOSER, R. and SPIRN, D., 2009. Dynamics for Ginzburg-Landau vortices under a mixed flow Indiana University Mathematics Journal. 58(6), 2597-2622
• KURZKE, M. and SPIRN, D., 2008. Gamma limit of the nonself-dual Chern–Simons–Higgs energy Journal of Functional Analysis. 255(3), 535-588
• KURZKE, MATTHIAS and SPIRN, DANIEL, 2008. On the energy of superconductors in large and small domains SIAM J. Math. Anal.. 40(5), 2077-2104
• KURZKE, MATTHIAS and SPIRN, DANIEL, 2008. Scaling limits of the Chern-Simons-Higgs energy Commun. Contemp. Math.. 10(1), 1-16
• KURZKE, MATTHIAS and SPIRN, DANIEL, 2008. On the energy of a Chern-Simons-Higgs vortex lattice. In: Singularities in PDE and the calculus of variations 44. Amer. Math. Soc.. 127-152
• KURZKE, MATTHIAS, 2007. The gradient flow motion of boundary vortices Ann. Inst. H. Poincaré Anal. Non Linéaire. 24(1), 91-112
• KURZKE, MATTHIAS, MELCHER, CHRISTOF and MOSER, ROGER, 2006. Domain walls and vortices in thin ferromagnetic films. In: MIELKE, ALEXANDER, ed., Analysis, modeling and simulation of multiscale problems Springer. 249-298
• KURZKE, MATTHIAS, 2006. Boundary vortices in thin magnetic films Calc. Var. Partial Differential Equations. 26(1), 1-28
• KURZKE, MATTHIAS, 2006. A nonlocal singular perturbation problem with periodic well potential ESAIM Control Optim. Calc. Var.. 12(1), 52-63 (electronic)
• KURZKE, MATTHIAS and RIEGER, MARC OLIVER, 2004. A relaxed model for step-terraces on crystalline surfaces J. Convex Anal.. 11(1), 59-67
• KURZKE, MATTHIAS and VON DER MOSEL, HEIKO, 2003. The Douglas problem for parametric double integrals Manuscripta Math.. 110(1), 93-114