Daniel Groves

Professor Daniel Groves is an academic at the University of Illinois Chicago (UIC), holding a position in the Department of Mathematics, Statistics, and Computer Science. His research focuses on Geometric Group Theory, with a particular emphasis on hyperbolic groups, relatively hyperbolic groups, and their applications to low-dimensional topology. He has organized significant conferences such as 'Cube complexes and 3-manifolds' (2013) and 'Geometric group theory and logic' (2011). Groves has secured funding from the National Science Foundation (NSF) through grants like DMS-2203343, DMS-1904913, and others, supporting his work on geometric group theory and related areas. His research has led to advancements in understanding limit groups, Dehn filling, and the structure of hyperbolic groups. Despite his extensive contributions, no formal student advisees are listed in the provided texts. His collaborations include notable mathematicians like Ian Agol, Jason Manning, and Henry Wilton.

Key research highlights include foundational work on relatively hyperbolic groups, Makanin-Razborov diagrams, and the isomorphism problem for toral relatively hyperbolic groups. His publications often intersect with geometric topology, exploring topics like cubulations, boundaries of groups, and quasi-convex subgroups. Groves' work frequently addresses algorithmic questions, such as detecting free splittings and conjugacy classes of solutions in hyperbolic groups.