Jason Manning

Visiting Scholar

591 Malott Hall

(607) 255-8268

N/A

Ph.D. (2003) University of California at Santa Barbara

Research Area

Geometric group theory, geometric topology

I study infinite discrete groups by studying their actions on metric spaces, especially negatively curved (hyperbolic) metric spaces.
The topology and geometry of 3-manifolds also figures heavily in my work, both directly and as inspiration.

Selected Publications

Algorithmic detection and description of hyperbolic structures on 3-manifolds with solvable word problem, Geometry & Topology 6 (2002) 1--26

Geometry of pseudocharacters , Geometry & Topology 9
(2005) 1147--1185.

Dehn filling in relatively hyperbolic groups (with D. Groves), Israel Journal of Mathematics 168 (2008) 317--429.

Residual finiteness, QCERF, and fillings of hyperbolic groups (with I. Agol and D. Groves), Geometry & Topology 13 (2009) 1043-1073.

Virtually geometric words and Whitehead's algorithm. Mathematical Research Letters 17, no. 5 (2010) pp. 917-925.

CAT(0) and CAT(-1) fillings of hyperbolic manifolds. (with Koji Fujiwara), Journal of Differential Geometry 85, no. 2
(2010) pp. 229--270