List of Publications

Preprints

Publications in peer-reviewed journals

  • Properties of the null distance and spacetime convergence [arXiv, pdf]
    with Brian Allen, Int. Math. Res. Not. IMRN (accepted 2020), DOI:10.1093/imrn/rnaa311, 79 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.
  • On the asymptotic behavior of static perfect fluids [arXiv, pdf, journal]
    with Lars Andersson, Ann. Henri Poincaré 20 (2019), no. 3, 813–857.
  • 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.
  • New energy inequalities for tensorial wave equations on spacetimes that satisfy a one-sided bound [arXiv, pdf, journal]
    with James D.E. Grant and Philippe G. LeFloch, Comm. Partial Differential Equations 37 (2012), no. 9, 1596–1619.
  • 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.

Theses

  • Analytic and geometric aspects of spacetimes of low regularity [german abstract, french abstract, multilingual abstract, full version on request]
    PhD thesis in Mathematics (2014), Université Pierre et Marie Curie (Paris 6) and University of Vienna.
  • 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 (3rd year Bachelor, old version from 2018/19, currently being updated)
  • Optimization Problems in Geometry and Physics (1st/2nd year Bachelor, old version from 2018/19, currently being updated)

Miscellaneous

  • LehrFEM – A 2D Finite Element Toolbox [pdf]
    with contributions by Patrick Meury and Eivind Fonn, Manual for FEM MATLAB code (Sep 2008), ETH Zürich.