Publications

Mathematics: 

34. (with E. Minguzzi) Lorentzian metric spaces and their Gromov-Hausdorff convergence. Lett Math Phys 114, 73 (2024). springerlink

33. (with V. Bangert) A Riemannian plane with only two injective Geodesics. IMRN (2024), no. 10, 8213-8229. Oxford

32. Smooth Complete Lyapunov Functions for multifunctions. Journal of Computational Dynamics, 2023, 10(1): 199-209. (special issue "Computation of Lyapunov functions and contraction metrics"). AIMS

31.  (with A. Mondino) An optimal transport formulation of the Einstein equations of general relativity. J. Eur. Math. Soc. 25 (2023), no. 3, 933–994.  EMS

30. (with G. De Philippis, M. Marini, M. Mazzucchelli) Closed geodesics on reversible Finsler 2-spheres.  J. Fixed Point Theory Appl. (special volume dedicated to Claude Viterbo) (2022).    springerlink 

29.   (with P. Giesl, S. Hafstein) Existence of complete Lyapunov functions with prescribed orbital derivative. Discrete & Continuous Dynamical Systems - B 27, 11 (2022)

6927-6941. AIMS

28. (with M. Mazzucchelli) A min-max characterization of Zoll Riemannian metrics. Math. Proc. Camb. Philos. Soc. 172, 1 (2022), 591-615.  Cambridge

27. Optimal results in Lorentzian Aubry-Mather Theory. manuscripta math.  167 (2022), 125–149. springerlink

26. (with J. Hedicke, E. Minguzzi, B. Schinnerl, R. Steinbauer) Causal simplicity and (maximal) null pseudoconvexity. Classical Quantum Gravity (Note) 38, 22 (2021), 227002. IOPScience

25. (with E. Caponio, F. Giannoni, A. Masiello) Connecting and closed geodesics of a Kropina metric. Adv. Nonlinear Stud. 21, 3 (2021), 683-695. DeGruyter

24.  (with S. Hafstein) Smooth complete Lyapunov functions for ODEs.  J. Math. Anal. Appl. 499, 1 (2021), 125003. ScienceDirect 

23. (with P. Bernard) Cauchy and uniform temporal functions of globally hyperbolic cone fields. Proc. Amer. Math. Soc. 148, 11 (2020), 4951-4966.  Proc. Amer. Math. Soc.

22. (with M. Kell) On the existence of dual solutions for Lorentzian cost functions. Ann. Inst. H. Poincaré, Anal. Non Linéaire. 37, 2 (2020), 343-372. sciencedirect

21. (with J. Hedicke) Conformally embedded spacetimes and the space of null geodesics. Comm. Math. Phys.  375,(2020), 1561-1577. springerlink

20. Aubry-Mather Theory for Lorentzian Manifolds. J. Fixed Point Theory Appl. (2019) 21: 71. springerlink

19. (with E. Minguzzi) Some regularity results for Lorentz-Finsler spaces.  Ann. Glob. Anal. Geom. 56, 3 (2019) 597-611. springerlink

18. (with U. Frauenfelder, C. Lange) A Hamiltonian version of a result of Gromoll and Grove. Ann. Inst. Fourier (Grenoble) 69, 1 (2019) 409-419. AIF

17. Theory of optimal transport for Lorentzian cost functions. Münster J. Math. 11 (2018), 13–47. MJM

16. (with M. Mazzucchelli) A characterization of Zoll Riemannian metrics on the 2-sphere.  Bull. Lond. Math. Soc 50 (2018), 997– 1006.   wiley   corrigendum

15. (with P. Bernard) Lyapounov Functions of closed Cone Fields: from Conley Theory to Time Functions. Comm. Math. Phys. 359 (2018), 467–498. springerlink  

14. (with K. Zehmisch) Polyfolds, Cobordisms, and the Strong Weinstein Conjecture. Adv. Math. 305 (2017), 1250-1267. sciencedirect 

13. (with V. Cortés, M. Nardmann) Completeness of Hyperbolic Centroaffine Hypersurfaces. Comm. Anal. Geom. 24 (2016), no. 1, 59-92. intlpress 

12. (with P. Mounoud) On spacelike Zoll surfaces with symmetries. J. Differ. Geom. 102 (2016), 243-284. projecteuclid 

11. (with K. Zehmisch) Linking and closed Orbits. Abh. Math. Sem. Hamburg 86 (2016), 133-150. springerlink 

10. A counterexample to Guillemin's Zollfrei conjecture. J. Topol. Anal. 251 (2013) 251–260. worldscientific 

9. (with P. Mounoud) Pseudo-Riemannian geodesic foliations by circles. Math. Z. 274 (2013), 225-238. springerlink 

8. Closed geodesics in Lorentzian surfaces. Trans. Amer. Math. Soc. 365 (2013), 1469-1486. Trans. Amer. Math. Soc. 

7. Class A spacetimes. Geom. Dedicata, 160 (2012), 91-117. springerlink 

Proceedings (with peer review):

6. (with P. Bernard) Smoothing causal functions. Journal of Physics: Conference Series, 968 no. 1 (2018), 012001. iopscience 

5. (with V. Cortés, M. Dyckmanns) Completeness of projective special Kähler and quaternionic Kähler manifolds. In: Chiossi S., Fino A., Musso E., Podestà F., Vezzoni L. (eds) Special Metrics and Group Actions in Geometry. Springer INdAM Series, 23 (2017), 81-106.  springerlink 

4. Homologically Maximizing geodesics in conformally flat tori.  AMS/IP Stud. Adv. Math., 49, Amer. Math. Soc., Providence, RI, 2011, 125-143. arXiv 

Dissertation:

3. Maximal geodesics in Lorentzian geometry. Dissertation. Freiburg (2010). freidok 

Other sciences (with peer review):

2. (with V. Lorenz, P. Suhr) Phreatomagmatic maar-diatreme volcanoes and their incremental growth: a model. Geological Society, London, Special Publications 446 (2017), 29-59. lyellcollection 

1. (with P. Suhr, K. Goth, V. Lorenz) Long lasting subsidence and deformation in and above Maar-diatreme volcanoes - a never ending story. Z. dt. Ges. Geowiss. 157 (2006), 491-511. Schweizerbart 

Preprints:

1. (with W. Schmaltz, K. Zehmisch) Non-fillability of overtwisted contact manifolds via polyfolds. arXiv

2. (with E. Caponio, A. Masiello) On homotopy properties of solutions of some differential inclusions in the W^{1,p}-topology. arXiv