Talks

Below is a list of academic talks I have given. Talks aimed primarily at undergraduate or pre-university students are listed in Teaching.

• The spectrum of limit models in stable AECs

  A series of talks:
  • University of Maryland, 3^rd March 2026
  • University of Notre Dame, 7^th April 2026
  • University of Illinois Chicago, 28^th April 2026
  • BLAST Workshop at Baylor University, 20^th May 2026
  • Hebrew University of Jerusalem, 27^th May 2026
  • Oxford University, 28^th May 2026
  • University of East Anglia, 1^st June 2026
  • Making Categorical Model Theory Accessible Workshop at Masaryk University, 3^rd June 2026
  • European ASL Meeting in Swansea, 30^th June 2026
  • US ASL Meeting in Philadelphia, 20^th July 2026
  This included a characterisation of the isomorphism spectrum of limit models in stable AECs, a more general 'positive' isomorphism theorem, and disjoint amalgamation over limit models, after a brief introduction to AECs. Based partly on work with Marcos Mazari-Armida.
  • Slides (longest version)
  • Slides (20 minute version)

• On the spectrum of limit models

  A 15 minute overview of the paper of the same name (joint work with Marcos Mazari-Armida).

  • 2025 Vienna Logic Colloquium, 10^th July 2025
    • Slides
    • 'Extended cut'
  • Northeast Model Theory Day, 5^th April 2025
    • Slides

• On the spectrum of limit models, 25^th March 2025

  A somewhat informal lecture in the CMU Graduate Set Theory and Model Theory Seminar, discussing results and sketching some proofs from the paper of the same name (joint work with Marcos Mazari-Armida).

  • Handwritten notes

• The many faces of superstability, 18^th Feb 2025

  A somewhat informal lecture in the CMU Graduate Set Theory and Model Theory Seminar on equivelent definitions of superstability in first order logic. Based on sections of Shelah's book Classification theory and the number of nonisomorphic models.

  • Handwritten notes

• Independence relations from the categorical point of view, 20^th Dec 2024

  A lecture in the CMU Graduate Set Theory and Model Theory Seminar. Based on the paper with same name by Lieberman, Rosický, and Vasey.

  • Handwritten notes

• On the spectrum of limit models, 17^th Oct - 14^th Nov 2024

  4 lectures in the CMU Model Theory Seminar. Based on an early version of the paper with same name, joint work with Marcos Mazari-Armida (see publications).

  • Handwritten notes

• An introduction to abstract elementary classes, 25^th June 2024

  2 lectures at the 2024 'WAECO' AEC conference, with a proof of Shelah's presentation theorem. Based on Rami Grossberg's Model Theory 2 course.

  • Part 1 Handwritten notes
  • Part 2 Handwritten notes

• Uniqueness of limit models, 18^th April - 25^th April 2024

  2 lectures in the CMU Model Theory Seminar on proving uniqueness of limit models in superstable AECs with symmetry. Based on chapter 15 of Sebastien Vasey's AEC lecture notes and chapter 5 of Vasey's The categoricity spectrum of large AECs.

  • Notes not available

• Forking in superstable AECs, 29^th Feb 2024

  A lecture in the CMU Model Theory Seminar on the properties of λ-forking in λ-superstable AECs, including canonicity. Based on chapters 13 and 14 of Sebastien Vasey's AEC lecture notes.

  • Notes not available

• Categoricity theorems, 15^th Feb 2024

  A lecture at CMU's Graduate Student and Postdoc Seminar (GSPS) giving the broad strokes of Shelah's categoricity theorem. Based on Shelah's #31 paper Categoricity of uncountable theories.

  • Notes not available

• Logic with the quantifier 'there exist uncountably many', 7^th April 2023

  A lecture in the CMU Graduate Set Theory and Model Theory Seminar (GSTMTS). Based on the paper with same name by Jerome Keisler.

  • Notes not available