Yago Antolin Pichel
Postdoctoral Researcher
Mathematics
Complutense University of Madrid
Spain
Biography
"Yago Antolín got his PhD in 2010 in the Universitat Autonòma de Barcelona and since then he has held postdoctoral positions a the University of Southampton, Université de Neuchâtel and Vanderbilt University. His scientific interests lie on the area of Geometric and Combinatorial group theory. Geometric and combinatorial group theory concern mainly infinite discrete groups and seeks to understand groups through their actions on metric or rich combinatorial spaces and viceversa. For example, one can deduce a fair amount of information of a group if one understands their actions on hyperbolic spaces (in the sense of Gromov), trees, CAT(0) cubical complexes, and so on. Dr. Antolín's work concerns mainly acylindrically hyperbolic groups, one-relator groups, graph products and the connection between formal languages and group theory."
Research Interest
My research area in mathematics is geometric and combinatorial group theory. I study countable groups with some sort of non-positively curved behavior, like acylindrically hyperbolic groups, one-relator groups or graph products. Some of my recent research concern the connection between formal languages and group theory.
Publications
-
"Degree of commutativity in infinite groups. arXiv Proc. Amer. Math. Soc. 145 (2017), no. 2, 479–485. "
-
"Commensurating endormorphisms of acylindrically hyperbolic groups and applications. arXiv Groups Geom. Dyn. 10 (2016), no. 4, 1149–1210."
-
"Formal conjugacy growth in acylindrically hyperbolic groups. arXiv Int Math Res Notices (2016) 2017 (1), 121-157"
