Homepage of David Bradley-Williams

Having started in September 2023, I am a Research Fellow in the research group of prof. Wieslaw Kubis in the department of Abstract Analysis at the Mathematical Institute of the Czech Acadamy of Sciences in Prague.

My current email address and office phone number can be found in the Mathematical Institute directory. I look forward to your mail, but even more to your call.

Until recently I was a Wissenschaftlicher Mitarbeiter (Postdoc and teaching assistant) in the model theory research group of Prof. Immanuel Halupczok in the Mathematics Institute of Heinrich-Heine-Universität, Düsseldorf.

My email address was david.bradley-williams@hhu.de.

You can find me on Researchgate.

Some talks and slides

Spherically complete elementary extensions of Hensel minimal fields, 23rd February 2023, BIRS workshop on Neostability, Banff, Canada.

Canonical riso-trees and the stratifications they induce, December 2021, Model Theory Seminar, Fields Institute, Toronto.

Canonical invariants for definable sets in K((t)), August 2019, Logic Colloquium 2019, Prague.

Limits of betweenness relations, August 2016, Logic Colloquium 2016, Leeds, UK.

Reducts of Primitive Jordan Structures, 12th November 2015, BIRS workshop on Homogeneous Structures, Banff, Canada.

Prepublications, Publications, and Thesis

  1. A Characterization of Weighted Homogeneous Polynomials via the Discriminant (with P. Cubides Kovacsics and I. Halupczok), 9 pages, preprint [arXiv:2403.05324].

  2. EPPA numbers of graphs (with P. J. Cameron, J. Hubička, and M. Konečný), 16 pages, preprint [arXiv:2311.07995].

  3. Riso-stratifications and a tree invariant (with I. Halupczok), 64 pages, preprint [arXiv:2206.03438].

  4. On limits of betweenness relations (with J. K. Truss), Journal of Group Theory, Volume 25, Issue 5, Pages 1023--1065 (2023). Preprint at [arXiv:2108.12904].

  5. Spherically complete models of Hensel minimal valued fields (with I. Halupczok), Mathematical Logic Quarterly, Volume 69, Issue 2, Pages 138--146 (2023). MR4635177

  6. Ramsey expansions of metrically homogeneous graphs (with A. Aranda, J. Hubička, M. Karamanlis, M. Kompatscher, M. Konečný, M. Pawliuk), 57 pages, submitted (2017), preprint [arXiv:1707.02612].

  7. Completing graphs to metric spaces (with A. Aranda, E. K. Hng, J. Hubička, M. Karamanlis, M. Kompatscher, M. Konečný, M. Pawliuk), Contributions to Discrete Mathematics, Volume 16, Number 2, Pages 71 -- 89, (2021). MR4280409
    An extended abstract (8 pages) of a conference talk on the above work, with the same title, appeared in the Proceedings of the The European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB'17), Electronic Notes in Discrete Mathematics, Volume 61 (2017).

  8. The universal homogeneous binary tree (with M. Bodirsky, M. Pinsker, A. Pongrácz), Journal of Logic and Computation, Volume 28, Issue 1, Pages 133--163 (2018). MR3798971

  9. Weak One-Basedness (with G. Boxall, C. Kestner, A. Omar Aziz, D. Penazzi), Notre Dame Journal of Formal Logic, Volume 54, Number 3-4, Pages 435--448 (2013). MR3091664

  10. Jordan groups and homogeneous structures, doctoral thesis (supervised by Prof. H. D. Macpherson and Prof. J. K. Truss), available though the ``White Rose Repository'', Leeds (2015).

Other Information

Mathematical genealogy.