Institut für Mathematische Logik und Grundlagenforschung,
Universität Münster,
Einsteinstraße 62,
48149 Münster, Deutschland

email address: r dot sullivan at uni hyphen muenster dot de

I am currently a maths postdoc at the University of Münster, mentored by Aleksandra Kwiatkowska.

Research interests

My research interests are generally in model theory (particularly ultrahomogeneous structures) and Ramsey theory.

Papers

• The externally definable Ramsey property and fixed points on type spaces.
  (with N. Meir)
  submitted. arxiv

• Sparse graphs and the fixed points on type spaces property.
  submitted. arxiv

• Flows of linear orders on sparse graphs.
  in preparation. (based on Chapters 4-6 of my PhD thesis)

• Generic embeddings into ultrahomogeneous structures.
  (with A. Codenotti, A. Panagiotopoulos, J. Winkel)
  in preparation. (see the slides from a talk I gave in Będlewo in Oct 2023 for an overview) 

PhD thesis

Aspects of the topological dynamics of sparse graph automorphism groups.
I completed my PhD at Imperial College London in January 2022, under the supervision of David Evans.
https://doi.org/10.25560/95184

Teaching

Logic 3: Abstract Topological Dynamics and Descriptive Set Theory.
Teaching assistant: master's course, 2023/24 winter term, University of Münster. Lectured by Aleksandra Kwiatkowska.
Problem sheets and notes (website of lecturer)

Topics in Ramsey Theory.
Lecturer: master's course, 2022/23 winter term, University of Münster.
Handwritten notes

Slides from talks

Generic embeddings into Fraïssé structures.
Będlewo, Oct 2023: Conference on Generic Structures.
slides

The externally definable Ramsey property.
Berlin, Sep 2022: annual meeting of the Deutsche Mathematiker-Vereinigung.
slides

CV

Available here.