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Department of Computer Science and Technology

Biography

I am a third year PhD student at the Computer Laboratory of the University of Cambridge, working on mathematical logic and theoretical computer science under Prof. Dawar's supervision. I am a member of Clare Hall, and my studies are supported by a George and Marie Vergottis Scholarship awarded through Cambridge Trust, an Onassis Foundation Scholarship, and a Robert Sansom studentship. Prior to this, I read Mathematics and Computer Science at University College, Oxford, focusing on logic and algebra.

Research

Broadly, I am interested in model theory, combinatorics, theoretical computer science, and universal algebra. Concretely, some themes I investigate are:

  • Stability and structural graph theory
  • Graph homomorphisms
  • Homogeneous structures

Teaching

Graduate:

Teaching assistant for the Part III Mathematics (MMath/MASt) courses:

I also lead the Part III Preparatory Workshop for the Foundations courses in Michaelmas 2022 and 2023. You can find my recordings here.

Undergraduate:

Supervisor (i.e. tutor) for the Part II Mathematics courses:

Supervisor for the Part IB Computer Science courses: 

You can find some of my teaching material here.

Professional Activities

Selected Talks:

  1. Model checking in monadically stable graph classes, CombProb 2023, November 6 2023, Leeds, UK
  2. Towards a characterisation of universal categories of relational structures, IUUK seminar, May 4 2023, Prague, Czech Republic
  3. Monadic NIP in monotone classes of relational structures, LoGAlg 2022, November 22 2022, Montpellier, France
  4. Classes of relational structures without the strict order property, UltraMath 2022, June 7 2022, Pisa, Italy
  5. The cumulative hierarchy in Homotopy Type Theory, ESSLLI 2021, August 5 2021, Online

Research Visits: 

  1. MIMUW, University of Warsaw, Warsaw, Poland. May 8-19 2023. Host: Szymon Toruńczyk
  2. IUUK, Charles University, Prague, Czech Republic. May 1-5 2023. Hosts: Jaroslav Nešetřil, Samuel Braunfeld

Organisation:

  • Co-chair of the Logic and Computation track for the Student Session of the 33rd European Summer School in Logic, Language, and Information (ESSLLI 2022)

Publications

  1. First-order model checking on monadically stable graph classes [arXiv]
    (with Jan Dreier, Nikolas Mählmann, Rose McCarty, Michał Pilipczuk, and Szymon Toruńczyk)
    Submitted.
  2. Universal slices of the category of graphs. [arXiv]
    Submitted.
  3. Algebraically universal categories of relational structures. [arXiv]
    Submitted.
  4. Monadic NIP in monotone classes of relational structures. [arXiv, DOI]
    (with Sam Braunfeld, Anuj Dawar, and Aris Papadopoulos)
    Proceedings of the 50th International Colloquium on Automata, Languages and Programming (ICALP 2023). 
  5. The cumulative hierarchy in Homotopy Type Theory.  [arXiv]
    Submitted.

Contact Details

Room: 
FE21
Office phone: 
(01223) 7-63680
Email: 

ie257@cam.ac.uk