Preprints
- Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary [arXiv, pdf]
with Christian Ketterer, Robert J. McCann, and Eric Woolgar, 23 p. (2020). - Properties of the null distance and spacetime convergence [arXiv, pdf]
with Brian Allen, 58 p. (2019). - Weak second Bianchi identity for spacetimes with timelike singularities [arXiv, pdf]
with Michael K.-H. Kiessling and A. Shadi Tahvildar-Zadeh, 20 p. (2019).
Publications in peer-reviewed journals
- Initial data and black holes for matter models [arXiv, pdf, published]
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, published]
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, published]
with Roland Donninger, Comm. Math. Phys. 353 (2017), no. 2, 549–596. - Length structures on manifolds with continuous Riemannian metrics [arXiv, pdf, published]
New York J. Math. 21 (2015), 273–296. - The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation [arXiv, pdf, published]
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, published]
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, published]
with Marcel Frehner and Bernhard Grasemann, AAPG Bulletin 96 (2012), no. 2, 301–314. - Algebras of generalized functions with smooth parameter dependence [arXiv, pdf, published]
with Michael Kunzinger, Proc. Edinburgh Math. Soc. (2) 55 (2012), no. 1, 105–124. - An algebraic approach to manifold-valued generalized functions [arXiv, pdf, published]
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.
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.
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)
