• 2015
• with Y. Sire, C. Wang
  Weak solutions of geometric flows associated to integro-differential harmonic maps
  Preprint

•  
• Nonlinear commutators for the fractional p-Laplacian and applications
  Math. Ann. (accepted)

•  
• with A. Maalaoui, L. Martinazzi
  Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension
  preprint

•  
• with T.T. Shieh, D. Spector
  Lp-theory for fractional gradient PDE with VMO coefficients
  Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. (accepted)

• 2014
• with D. Spector, J. Van Schaftingen
  An L1-type estimate for Riesz potentials
  Rev. Mat. Ibero (accepted)

•  
• with Q. Liu, X. Zhou:
  A game-theoretic proof of convexity preserving properties for motion by curvature
  Indiana Univ. Math. J.(accepted)

•  
• with Miroslav Bacak, Bobo Hua, Jürgen Jost, Martin Kell:
  A notion of nonpositive curvature for general metric spaces
  Differential Geometry and its Applications (accepted)

•  
• Integro-differential harmonic maps into spheres
  Comm.PDE 40(3), 506-539 (2015)

•  
• Lp-gradient-harmonic maps into spheres and SO(N)
  Differential and Integral Equations Vol 28 (3/4), pp. 383-408 (2015)

• 2013
• A note on zero sets of fractional sobolev functions with negative power of integrability
  Proc. Amer. Math. Soc. 143 (2015), no. 3, pp. 1189-1197

•  
• with P. Hajłasz:
  Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces
  Annales Academiae Scientiarum Fennicae, 39 (2014), pp. 1-12

•  
• with Q. Liu:
  General existence of solutions to dynamic programming principle
  Comm. Pure and Applied Analysis. special issue on Emerging Trends in Nonlinear PDE, (accepted)

•  
• with Q. Liu:
  A Game-Tree approach to discrete infinity Laplacian with running costs
  Preprint

• 2012
• with P. Hajłasz, J.T. Tyson :
  Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups
  Geom. Funct. Anal. 24 (2014), pp.245-268

•  
• epsilon-regularity for systems involving non-local, antisymmetric operators
  Calc. Var. P.D.E. 54(4),3531-3570, (2015)

•  
• with S. Blatt, Ph. Reiter:
  Harmonic analysis meets critical knots (Stationary points of the Moebius energy are smooth)
  Trans.AMS (accepted)

•  
• with F. Da Lio:
  n/p-harmonic maps: regularity for the sphere case
  Advances in Calculus of Variations Vol. 7, pp. 1-26

• 2011
• Interior and Boundary-Regularity for Fractional Harmonic Maps on Domains
  Preprint

• 2010
• A Note on Regularity for the n-dimensional H-System assuming logarithmic higher Integrability
  Analysis Vol. 33, Issue 3 (2013)

•  
• Regularity of n/2 harmonic maps into spheres (Short / Long)
  Journal of Differential Equations 252 (2012) 1862--1911

• 2009
• A Remark on Gauge Transformations and the Moving Frame Method
  Ann.Institute H.Poincare (C), 27 (2010), pp. 503-515

• 2008
• with F. Müller:
  Boundary regularity via Uhlenbeck-Riviere decomposition
  Analysis, 29 (2009), pp. 199-220

• 2007
• Erhaltungssätze in der Regularitätstheorie nichtlinearer elliptischer Systeme in zwei Dimensionen
  Diploma thesis, RWTH Aachen
  supervisor: Prof. von der Mosel