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    • Home
    • Research
    • Team
    • Short CV
    • Grants
    • Teaching
    • Talks
  • Home
  • Research
  • Team
  • Short CV
  • Grants
  • Teaching
  • Talks

Juan P. Aguilera

Contact

Institute of Discrete Mathematics and Geometry, 

TU Wien.

Wiedner Hauptstrasse 8–10, 1040 Vienna, Austria.


For mathematical or academic matters: [lastname] at [logic dot at]

For other matters: [contact] at [thisdomain] (.ag; see url)

Research interests

All areas of Mathematical Logic, including Proof Theory; Set Theory; Recursion Theory; Model Theory; non-classical, many-valued, and modal logics; as well as interactions between these areas and applications to Computer Science, Artificial Intelligence, and Economics.

Some links of interest

Our special issue of Philosophical Transactions of the Royal Society [vol. 281, issue 2248, May 2023] on Modern Perspectives in Proof Theory has now been published on the Royal Society's website. See the blog post.

Events

Young Set Theory 2025. TU Wien, September 8–12, 2025 (tentative).

ESI trimester on Reverse Mathematics, June 23th–August 29th, 2025. Erwin Schrödinger Institute, University of Vienna.
 
Logic Colloquium 2025. TU Wien, July 7–11th, 2025.
  

BIRS Workshop on Infinitary Proof Theory: Techniques and Applications at CMO. August 10–15, 2025.
  
Workshop on Higher Computability Theory. August 19–23, 2024. CIEM.
 
Trends in Proof Theory 2024, February 5th–16th, 2024. TU Wien.

Recent and upcoming talks

  • Winter school on Logic and Set Theory. Morelia, December 2–6, 2024.
    Mini-course on Model Theory of Infinitary Logic.
     
  • European Set Theory Conference. Münster, September 19, 2024.
    Ultraexact cardinals, structural reflection, and the HOD Conjecture.
      
  • Invited speaker at the 7th Workshop on Proof Theory, Modal Logic, and Reflection Principles, Ghent, September 2–5, 2024.
    New models of GL.3.
     
  • Invited speaker at the conference on Topology, Algebra, and Categories in Logic. Barcelona, July 1–5, 2024.
    Pi12 Proof Theory.
     
  • Plenary speaker at the 30th Workshop on Logic, Language, Information, and Computation. Bern, June 12, 2024.
    Model Theory of Gödel Logic.
     
  • Tutorial at the 30th Workshop on Logic, Lauage, Information, and Computation. Bern, June 12, 2024.
    First-Order Gödel Logic.
      
  • Indian School of Logic and Applications. Goa, June 3–8, 2024.
    Tutorial on Infinite Game Theory.
     
  • Invited Speaker at the 17th International Conference on Computability, Complexity and Randomness. Nagoya, March 11–15, 2024.
    Determinacy in Second-Order Arithmetic.
     
  • Trends in Proof Theory 2024. February 7th, 2024.
    A new proof of Aanderaa's theorem.

 

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