Sam Corson

Sam Corson is a Ramon y Cajal Fellow (Research Fellow) at the Technical University of Madrid, specializing in the construction of unconventional mathematical structures at the intersection of group theory, topology, and set theory. His work resolves longstanding conjectures, such as the Cannon-Conner problem on fundamental groups of the harmonic archipelago and Griffiths double cone, and introduces novel objects like Artinian groups of arbitrary cardinality and Jonsson groups satisfying Babai’s infinitary edge orbit conjecture.

His research interests emphasize automatic continuity (proving open kernels for homomorphisms from topological groups to hyperbolic/braid groups), wild topology (analyzing fundamental groups of non-locally simply connected spaces), and set-theoretic group theory (constructing groups under ZF axioms without choice). Key contributions include models of ZF where metric spaces fail paracompactness or torsion-free abelian groups lack bi-orderings, demonstrating deep interactions between logic and algebra.

Recent publications (2021–2025) reveal a trend toward profinite rigidity in Coxeter groups, cardinality constraints in infinite groups, and geometric realizations of permutation actions. His work spans journals like Bulletin of the London Mathematical Society and Proceedings of the American Mathematical Society, often coauthored with Saharon Shelah and Olga Varghese.

Scientific recognition includes:

• Ramon y Cajal Fellowship (prestigious Spanish postdoctoral award)

With an Erdős number of 2, Corson collaborates extensively but has no documented advisees, teaching roles, or grants. His research operates within pure mathematics frameworks without applied lab structures or institutional teams beyond coauthor networks.