List of Publications

Preprints

Peer-reviewed articles

  • Properties of the null distance and spacetime convergence [arXiv, pdf, journal]
    with Brian Allen, Int. Math. Res. Not. IMRN (published online 2021), DOI:10.1093/imrn/rnaa311, 80 p.
  • Initial data and black holes for matter models [arXiv, pdf, book]
    in “Hyperbolic Problems: Theory, Numerics, Applications”, by Alberto Bressan, Marta Lewicka, Dehua Wang, Yuxi Zheng (Eds.), AIMS Ser. Appl. Math., vol. 10, 336–345, Am. Inst. Math. Sci. (AIMS), Springfield, MO, 2020.
  • Hyperboloidal evolution and global dynamics for the focusing cubic wave equation [arXiv, pdf, journal]
    with Roland Donninger, Comm. Math. Phys. 353 (2017), no. 2, 549–596.
  • Length structures on manifolds with continuous Riemannian metrics [arXiv, pdf, journal]
    New York J. Math. 21 (2015), 273–296.
  • The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation [arXiv, pdf, journal]
    with Philippe G. LeFloch, J. Math. Pures Appl. 102 (2014), no. 6, 1164–1217.
  • Tectonic geomorphological investigations of antiforms using differential geometry: Permam Anticline, northern Iraq [pdf, journal]
    with Marcel Frehner and Bernhard Grasemann, AAPG Bulletin 96 (2012), no. 2, 301–314.
  • Algebras of generalized functions with smooth parameter dependence [arXiv, pdf, journal]
    with Michael Kunzinger, Proc. Edinburgh Math. Soc. (2) 55 (2012), no. 1, 105–124.
  • An algebraic approach to manifold-valued generalized functions [arXiv, pdf, journal]
    Monatsh. Math. 166 (2012), no. 3-4, 361–370.

Non peer-reviewed articles, reports etc.

  • Singularity formation for perfect fluids with linear equation of state [pdf, report]
    Oberwolfach Report 42 (2020), 12–14.
  • LehrFEM – A 2D Finite Element Toolbox [pdf]
    with contributions by Patrick Meury and Eivind Fonn, Manual for FEM MATLAB code (Sep 2008), ETH Zürich, 118 p.

Theses

  • Curvature analysis of anticlines in the Zagros mountains (Iraq) [abstract, pdf, MATLAB code]
    Bachelor thesis in Earth Sciences (2010), University of Vienna.
  • Isomorphisms of algebras of smooth and generalized functions [abstract, pdf]
    Diploma/Master thesis in Mathematics (2009), University of Vienna.

Lecture notes

  • Introduction to Partial Differential Equations [pdf] (3rd year Bachelor, version 2020/21, 96 p.)
  • Optimization in Geometry and Physics [pdf] (2nd year Bachelor, version 2020/21, 57 p.)