Liam Urban

I am a doctoral student in the Vienna School of Mathematics at the University of Vienna, supervised by David Fajman and co-supervised by Michael Eichmair. My doctoral research is funded by a DOC-scholarship from the Austrian Academy of Sciences and by the FWF START-Project Y963.

Contact Information

Faculty of Mathematics
University of Vienna
Oskar-Morgenstern-Platz 1
1090 Vienna, Austria

Email: liam.urban@univie.ac.at
ORCID ID: 0000-0001-9185-9627
University webpage: here
Pronouns: he/they

Research

Preprints and Publications

• (Preprint) On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system (with David Fajman),
  arxiv:2402.08544 (uploaded February 2024)
• (Preprint) Cosmic Censorship near FLRW spacetimes with negative spatial curvature (with David Fajman),
  arXiv:2211.08052 (uploaded November 2022)
• Blow-up of waves on singular spacetimes with generic spatial metrics (with David Fajman),
  Letters in Mathematical Physics 112, 42 (2022)
• Space versus energy oscillations of Prufer phases for matrix Sturm-Liouville and Jacobi operators (with Hermann Schulz-Baldes),
  Electronic Journal of Differential Equations, Vol. 2020 (2020), No. 76, pp. 1-23

Presentations

• On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system,
  March 2024, Seminar Differential geometry and general relativity, Stockholm Mathematics Centre
• Stable Big Bang formation for the Einstein scalar-field Vlasov system,
  February 2024, 14th Central European Relativity Seminar, University of Tübingen
• Strong Cosmic Censorship near FLRW spacetimes with negative spatial curvature,
  May 2023, 13th Central European Relativity Seminar, Stockholm University
• Strong Cosmic Censorship near FLRW spacetimes with negative spatial curvature,
  November 2022, Vienna Relativity seminar, University of Vienna
• Nonlinear stability of Big Bang formation for FLRW solutions with hyperbolic spatial geometry within the Einstein scalar field system,
  June 2022, EWM-EMS Summer School: The Cauchy Problem in General Relativity, Mittag-Leffer Institut Djursholm
• Nonlinear stability of Big Bang formation for FLRW solutions with hyperbolic spatial geometry within the Einstein scalar field system,
  April 2022, Young PDEs Symposium, University of Vienna
• Blow-up of geometric waves towards Big Bang singularities,
  March 2022, Mini-Lecture Series on Waves, Masterclass Mathematical Physics, University of Vienna
• Blow-up of waves on Friedmann-Lemaitre-Robertson-Walker spacetimes with arbitrary Riemannian spatial metric,
  February 2021, 11th Central European Relativity Seminar, online

Education

• since October 2021: Doctoral student in the Vienna School of Mathematics at the University of Vienna
• October 2019 to July 2021: Master of Science in Mathematics at the University of Vienna, thesis supervised by David Fajman
• October 2016 to July 2019: Bachelor of Science in Mathematics at the FAU Erlangen-Nürnberg, thesis supervised by Hermann Schulz-Baldes

Teaching

• Tutorial: School mathematics arithmetics and algebra
  Winter 2023, Tutor
• School mathematics: applied mathematics
  Summer 2023, Tutor
• Mathematics for civil and environmental engineers II
  Summer 2021, TU Vienna, Tutor
• Mathematics for civil and environmental engineers I
  Winter 2019, Summer 2020 and Winter 2020, TU Vienna, Tutor
• Analysis II
Summer 2019, FAU Erlangen-Nürnberg, Tutor
• Analysis I
Winter 2018, FAU Erlangen-Nürnberg, Tutor

Awards and Scholarships

• since 2022: Doctoral scholarship (DOC-Stipendium) from the Austrian Academy of Sciences
• 2021: Winner of the Alfred-Wehrl-Prize in Theoretical and Mathematical Physics
• since 2021: Doctoral scholarship from the Studienstiftung des deutschen Volkes (German Academic Scholarship Foundation)
• 2018- 2021: Member of the Max-Weber-Program