Degrees

• April 2019 - Ph.D. Mathematics
  Thesis: Between the Finite and the Infinite (444 pp.).
  Advisors: Matthias Baaz and W. Hugh Woodin.
   
• June 2015 - B.Sc. Applied Mathematics.
  Thesis: Uncountable Topological Interpretations of Provability Logic (44 pp.).
  Advisor: David Fernández-Duque.

• Vienna University of Technology, since 2015.
   
• Ghent University, since 2019 (currently on leave).
   
• University of Hamburg. Visiting Researcher (2023).
   
• University of Cambridge. Visiting By-Fellow (2023).
   
• Rutgers University. Visiting Scholar (2017).
   
• Harvard University. Visiting Fellow (2017).

• Dissertation Award by the German Association for Mathematical Logic and Foundational Research in the Exact Sciences (DMVLG) for the most oustanding dissertation in 2018-2022.
   
• Studienpreis 2021. Awarded by the Austrian Mathematical Society to the most outstanding PhD dissertation in Mathematics in 2019–2020.
   
• Best Paper Award 2020. Awarded by the Faculty of Mathematics and Geoinformation of the TU Vienna to the best article written by a faculty member in 2020. Awarded to "Determined Admissible Sets" (Proc. Amer. Math. Soc. 148, pp. 2217-2231).
   
• E. W. Beth Dissertation Prize 2020. Awarded by the Association for Logic, Language, and Information to the most outstanding PhD dissertation in Logic, Language, and Information worldwide in 2019.
   
• Sotero Prieto Prize 2016. Awarded by the Mexican Mathematical Society to the most outstanding undergraduate thesis in Mathematics in 2015.
   
• ExITAM Prize 2016. Awarded by ITAM to the most outstanding thesis in Applied Mathematics in 2014–2015.
   

(As principal investigator; brackets indicate the year the grant was awarded.)
 

• (2022) Borel Determinacy from Proofs.
  FWF grant TAI-797 (128,573.55 EUR).
   
• (2022) Transfinite Blackwell Determinacy.
  Alexander von Humboldt Fellowship.
   
• (2022) Determinacy on the Edge of Analysis.
  APART-MINT program of the Austrian Academy of Sciences (70,000 EUR).
   
• (2021) Strong Topological Completeness of Graded Consistency.
  Joint Excellence in Science and Humanities program of the Austrian Academy of Sciences.
   
• (2021) Second-Order Reflection on Ordinals.
  FWF grant ESP-3 (287,710.98 EUR)
   
• (2020) Reflection Spectra: Predicative Mathematics and Beyond.
  FWF grant I-4513 (304,668 EUR).
   
• (2019) Ordinal analysis of theories of determinacy.
  FWO postdoctoral fellowship 3E017319.
   
• (2017) Generic Absoluteness.
  Marshall Plan Fellowship. 

• November-December 2021 - University of Münster, Germany (host: Ralf Schindler).
   
• November 2019 - Steklov Institute, Moscow, Russia (host: Lev Beklemishev).
   
• May 2019 - Bristol University, Bristol, UK (host: Philip Welch).
   
• August 2018 - Hausdorff Institute, Bonn, Germany (invitation within the thematic trimester on Types, Sets, and Constructions).
   
• April 2018 - Hausdorff Institute, Bonn, Germany (invitation within the thematic trimester on Types, Sets, and Constructions).
   
• May 2017 - Rutgers University, New Brunswick, USA (host: Grigor Sargsyan).
   
• June 2016 - Université Paul Sabatier, Toulouse, France (host: David Fernández-Duque).

• Matthias Baaz.
• Doug Blue.
• Jan Bydžovský
• David Fernández-Duque.
• Anton Freund.
• Robert Lubarsky.
• Sandra Müller.
• Fedor Pakhomov.
• Michael Rathjen.
• Philipp Schlicht.
• Levent Ülkü.
• Philip Welch.
• Andreas Weiermann.

Guest editor for the special issue "Modern Perspectives in Proof Theory" of the
Philosophical Transactions of the Royal Society.

Journals: Proceedings of the American Mathematical Society, Journal of Symbolic Logic, Bulletin of Symbolic Logic, Review of Symbolic Logic, Annals of Pure and Applied Logic, Archive for Mathematical Logic.

Conferences: Logic in Computer Science; Computability in Europe; Advances in Modal Logic; Workshop on Logic; Language, Information, and Computation; International Joint Conference on Artificial Intelligence.

See Research.

See Teaching.

Postdocs: Jan Bydžovský (since 2022).

Masters students: Ferre Vanden Kerchove (UGent 2021), Ben de Smet (UGent 2021).

• Member of the organising committee for Computability in Europe 2021. Ghent University.
   
• Special session on Proofs and Computation at CiE2021 (with David Fernández-Duque).

• Pi12-Proof Theory. Proof Society Winter School. Madeira, December 2021.
   
• The Axiom of Determinacy. Twelfth International Tbilisi Summer School in Logic and Language. Tbilisi, September 2016.

• Proof Theory of Pi12-Unsound Theories. Proof Society Worshop. Utrecht, November 2022.
   
• Determinacy on the Edge of Second-Order Arithmetic. Barcelona Set Theory Seminar. Barcelona, October 2022.
   
• Sigma-Projective Sets, Cut Elimination, and Woodin Cardinals. Colloquium Logicum. Konstanz, September 2022.
   
• The Pi12-Spectrum Conjecture. Special Session on Proof Theory at the Logic Colloquium. Reykjavik, June 2022.
   
• The Metamathematics of Pi12 Sentences. Logic Colloquium at the University of Vienna. Vienna, June 2022.
   
• Open Determinacy versus Clopen Determinacy. Ghent Logic seminar. Ghent, December 2021.
   
• The Pi12 Consequences of a Theory. Bristol Logic Seminar. Bristol, December 2021.
   
• Indiscernibility Spectra. Münster Set Theory Seminar. Münster, December 2021.
   
• Between the Finite and the Infinite. Studienpreis ceremony. Vienna, November 2021.
   
• Determined Admissible Sets. Best paper award ceremony. Vienna, October 2021.
   
• Real Determinacy in Admissible Sets. Caltech logic seminar. California, October 2021.
   
• The Pi12-Soundness Spectrum. BIRS Conference: New Frontiers in Proofs and Computations. Hangzhou, September 2021.
   
• The Pi12 Consequences of a Theory. International Workshop on Gödel's Incompleteness Theorems. Wuhan, August 2021.
   
• Between the Finite and the Infinite. ESSLLI Beth Prize ceremony. Utrecht, July 2021.
   
• The Löwenheim-Skolem theorem for Gödel Logic. Vienna Computational Logic seminar, April 2021.
   
• G_delta,sigma Games of Length omega^2. Ghent-Leeds Seminar. Leeds, August 2020.
   
• The Wadge Hierarchy. Ghent Logic and Analysis Seminar. Ghent, December 2019.
   
• Determined Admissible Sets. Steklov Proof Theory seminar. Moscow, November 2019.
   
• The Order of Reflection. Wormshop: Lustrum edition. Barcelona, November 2019.
   
• Hyperarithmetic Reduction Properties. Workshop on Proof Theory and Automated Deduction. Funchal, October 2019.
   
• Truth Beyond Zermelo-Fraenkel. Gödel's Legacy Conference. Vienna, July 2019.
   
• F_sigma games of length omega^2. Bristol Logic Seminar. Bristol, May 2019.
   
• Constructing winning strategies. ITAM Mathematics seminar. Mexico City, March 2019.
   
• Games of length omega^2. 4th Arctic Set Theory workshop. Kilpisjärvi, January 2019.
   
• The consistency strength of long projective determinacy. TU Wien Set Theory seminar. Vienna, January 2019.
   
• Degrees of stability and Gandy Ordinals. 3rd FISP meeting. Vienna, December 2018.
   
• Cut Elimination and infinite games. 1st Proof Society workshop. Ghent, September 2018.
   
• (Omega-)Provably Delta_1 Games. First USA-Mexico Logic Fest. Mexico City, January 2018.
   
• sigma-Projective Determinacy. CUNY Set Theory seminar. New York, November 2017.
   
• Making Delta_1 Determined Again. 4th Münster conference on Inner Model Theory. Münster, July 2017.
   
• The Infinite Epsilon Calculus. Mathematics-Computer Science Seminar of the University of Toulouse. Toulouse, June 2017.
   
• The Infinite Epsilon Calculus. 2nd FISP Meeting. Paris, June 2017.
   
• The Infinite Epsilon Calculus. Proof Theory: Herbrand's Theorem Revisited. Vienna, May 2017.
   
• Some applications of Set Theory in Proof Theory. Third Arctic Set Theory Workshop. Kilpisjärvi, January 2017.
   
• tbc. FISP Kick-off Meeting. Innsbruck, November 2016.
   
• The Topological Completeness of GLP. Worm Seminar. Barcelona, September 2016.
   
• The Topological Completeness of GLP_Lambda. Third International Wormshop. Tbilisi, September 2016.
   
• Verification Logic: An Arithmetical Interpretation for Negative Introspection. AiML'16. Budapest, August 2016.
   
• Cut Elimination for Gödel Logic with an Operator Adding a Constant. WoLLIC'16. Puebla, August 2016.
   
• An arithmetic interpretation of negative introspection. CIPPMI workshop on Proofs, Justifications, and Certificates. Toulouse, June 2016.
   
• The botanics of provability (and omega^omega other short stories). Winter School in Abstract Analysis. Hejnice, January 2016.
   
• Models of provability logic. Lilac seminar. Toulouse, September 2015.