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 Jan 2021), DOI:10.1093/imrn/rnaa311, 80 p.
  • Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary [arXiv, pdf, journal]
    with Christian Ketterer, Robert J. McCann, and Eric Woolgar, SIGMA Symmetry Integrability Geom. Methods Appl. 16 (2020), 131, 29 p. (Special Issue on Scalar and Ricci Curvature in honor of Misha Gromov on his 75th Birthday)
  • 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.

  • Matter particles, naked singularities, and a weak second Bianchi identity [pdf, workshop]
    Oberwolfach Reports (2021), to appear.
  • Singularity formation for perfect fluids with linear equation of state [pdf, report, workshop]
    Oberwolfach Reports 17 (2020), no. 4, 2104–2106.
  • 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.)