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Juan P. Aguilera

Current affiliations

Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Austria.
 

Department of Mathematics, Ghent University, Belgium.

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.


Feel free to get in touch if you're interested in Bachelor, Masters, or PhD projects, or in a short postdoc or visiting position in any of my areas of interest.

Recent and upcoming talks

  • Determinacy in Second-Order Arithmetic. Ghent Logic Seminar. November 17th, 2022.
  • Proof Theory of Pi12-Unsound Theories. Proof Society Workshop in Utrecht. November 11th, 2022.
  • Determinacy on the Edge of Second-Order Arithmetic. Barcelona Set Theory Seminar. October 26th, 2022.
  • Sigma-Projective Sets, Cut Elimination, and Woodin Cardinals. Colloquium Logicum. September 26th, 2022.
  • The Pi12 Spectrum Conjecture. Special Session on Proof Theory at the Logic Colloquium in Reykjavik. June 28th, 2022.

 

Teaching

Fall 2020. Set Theory (UGent).


Fall 2019. Set Theory (UGent).


Spring 2019. Seminar in Mathematical Logic (TU Wien).


Fall 2018. Seminar in Mathematical Logic (TU Wien).


Spring 2018. Ordinal Analysis and Consistency Proofs (TU Wien).

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