Silvia's research

Research
Home Research Short CV Links A picture	Research interests I work in model theory, a branch of mathematical logic. My interests include: interactions between model theory and infinite permutation group theory, in particular automorphism groups of omega-categorical and homogeneous countable structures; notions of genericity in permutation group theory and model theory; pure model theory; interactions between model theory and design theory, in particular Steiner triple systems. Google Scholar page Preprints Endomorphisms of free Steiner quasigroups, with E. Casanovas, https://arxiv.org/abs/2412.06055 The elementary theory of free Steiner triple systems, with E. Casanovas, https://arxiv.org/abs/2411.13723 Continuous logic in a classical setting, with C. Agostini, S. Baratella. L. Motto Ros, D. Zambella, https://arxiv.org/abs/2402.01245 Publications Model theory of Steiner triple systems, with E. Casanovas, Journal of Mathematical Logic, 20(2), 2020 (arXiv, doi) A classification of countable lower 1-transitive linear orders, with K.M. Chicot, Order 35 (2018), 215-231 (doi) Generic expansions of countable models, with D. Zambella, Notre Dame Journal of Formal Logic, 53(4), 2012 , 511-523 (arXiv, doi) A viewpoint on amalgamation classes, with D. Zambella, Commentationes Mathematicae Universitatis Carolinae, 51(4), 2010, p. 681-691 (arXiv) Reconstruction of classical geometries from their automorphism group, Journal of the London Mathematical Society, 75(2), 2007, p. 298-316 (doi) Reconstruction of homogeneous relational structures, with H.D. Macpherson, Journal of Symbolic Logic 72(3), 2007, p. 792-802 (doi) Automorphism groups of omega-categorical structures, PhD thesis, University of Leeds, 2004 Slides from talks Model theory of Steiner triple systems The theory of Steiner triple systems Reconstruction of homogeneous relational structures Generic expansions of countable models

Research

Research interests

I work in model theory, a branch of mathematical logic. My interests include: interactions between model theory and infinite permutation group theory, in particular automorphism groups of omega-categorical and homogeneous countable structures; notions of genericity in permutation group theory and model theory; pure model theory; interactions between model theory and design theory, in particular Steiner triple systems.

Google Scholar page

Preprints

Endomorphisms of free Steiner quasigroups, with E. Casanovas, https://arxiv.org/abs/2412.06055
The elementary theory of free Steiner triple systems, with E. Casanovas, https://arxiv.org/abs/2411.13723
Continuous logic in a classical setting, with C. Agostini, S. Baratella. L. Motto Ros, D. Zambella, https://arxiv.org/abs/2402.01245

Publications

Model theory of Steiner triple systems, with E. Casanovas, Journal of Mathematical Logic, 20(2), 2020 (arXiv, doi)
A classification of countable lower 1-transitive linear orders, with K.M. Chicot, Order 35 (2018), 215-231 (doi)
Generic expansions of countable models, with D. Zambella, Notre Dame Journal of Formal Logic, 53(4), 2012 , 511-523 (arXiv, doi)
A viewpoint on amalgamation classes, with D. Zambella, Commentationes Mathematicae Universitatis Carolinae, 51(4), 2010, p. 681-691 (arXiv)
Reconstruction of classical geometries from their automorphism group, Journal of the London Mathematical Society, 75(2), 2007, p. 298-316 (doi)
Reconstruction of homogeneous relational structures, with H.D. Macpherson, Journal of Symbolic Logic 72(3), 2007, p. 792-802 (doi)
Automorphism groups of omega-categorical structures, PhD thesis, University of Leeds, 2004

Slides from talks