Concepedia

Peter B. Shalen

PB

40

Publications

3.5K

Citations

25

H-Index

1976

Active since

Affiliations

University of Illinois Chicago(Current)

Rice University

University of Chicago

City College of New York

Peter B. Shalen is an author at University of Illinois Chicago specializing in geometry, geometric group theory, and education.

Top concepts

GeometryGeometric Group TheoryEducationRepresentation TheoryLinear GroupsSurgeryMedicinePlastic SurgeryDiscrete GeometryGeometry Modeling

Publications per year

1976–2012

40

Publications

40

Dehn Surgery on Knots

Marc Culler, C. McA. Gordon, John Luecke et al. · Annals of Mathematics · 1987 · 652 citations

Torus Omk, Global Geometry, Geometry +9

Varieties of Group Representations and Splittings of 3-Manifolds

Marc Culler, Peter B. Shalen · Annals of Mathematics · 1983 · 640 citations

Group Representations, Group Representation, Lie Group +1

Valuations, Trees, and Degenerations of Hyperbolic Structures, I

John W. Morgan, Peter B. Shalen · Annals of Mathematics · 1984 · 362 citations

Hyperbolic Structures, Hyperbolic Equation, Tropical Geometry +1

Plane curves associated to character varieties of 3-manifolds

D. Cooper, Marc Culler, Henri Gillet et al. · Inventiones mathematicae · 1994 · 334 citations

Schubert Calculus, Geometry, Enumerative Geometry +2

Seifert fibered spaces in 3-manifolds

William Jaco, Peter B. Shalen · Memoirs of the American Mathematical Society · 1979 · 287 citations · Full text

Topological Property, Knot Theory, Topological Invariant

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