Jane Gilman's Web Page

Jane Gilman

Professor Jane Gilman
Department of Mathematics and Computer Science
Rutgers University
Newark, NJ 07102
Office: Smith 312
Telephone: (973) 353-3914

I can always be contacted by e-mail.

Instructor, S.U.N.Y. Stony Brook, 1971-72
Assistant Professor, Newark College of Arts & Sciences, Rutgers University, 1972-77
Associate Professor, Newark College of Arts & Sciences, Rutgers University, 1977-84
Member, School of Mathematics, Institute for Advanced Study, Princeton, 1979-80
Full Professor, Faculty of Arts & Sciences, Rutgers University-Newark, 1984 to 2010
Member, Mathematical Sciences Research Institute,Berkeley, California, 1/86-6/86
Visiting Research Mathematician, Princeton University, 1988-89
Visiting Professor, Princeton University, 1990-91
Member, School of Mathematics, The Institute for Advanced Study, Princeton, S 1992
Member, Institutes des Hautes Études Scientifique,Bures-sur-Yvette, 10-12/95
Member, Mathematical Sciences Research Institute, Berkeley, California, 1/96-6/96
Visiting Fellow, Yale University, 7/06-12/06
Analysis Program Director, National Science Foundation, 9/08-9/11
Distinguished Professor, Rutgers University, 2010-present
Member, ICERM, Fall 2013

Fields of interest
Kleinian groups, Teichmüller theory, hyperbolic geometry including computational aspects

Recent reprints and preprints
Kleinian Groups with Real Parameters
Algorithms, Complexity and Discreteness Criteria in PSL(2,C)
Word Sequences and Intersection Numbers
Classical Two-parabolic T-Schottky Groups
The Geometry of Two Generator Groups: Hyperelliptic Handlebodies
Boundaries for Two-parabolic Schottky Groups,
Planar Families of Discrete groups
Informative Words and Discreteness
Prime Order Automorphisms of Riemann Surfaces
The Structure of Two-parabolic Space: Parabolic Dust and Iteration
Canonical Symplectic Representations ... Conjugacy ... Mapping Class Group
Cutting Sequences and Palindromes
Enumerating Palindromes and Primitives in Rank Two Free Groups
Discreteness Criteria and the Hyperbolic Geometry of Palindromes
Lifting Free Subgroups of PSL(2,R) to Free Groups.
The non-Euclidean Euclidean Algorithm.
Computing adapted bases for conformal automorphism groups of Riemann Surfaces.
Primitive Curve Lengths on Pairs of Pants.
Winding and Unwinding and Essential Self-intersections.
Adjoining Roots.
More slides for Adapted Bases ~~in preparation, Kulkarni Beamer slides.

Short CV

Complete CV
Complete CV has links to all publcations.

Research Statement

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Last updated: 05/06/2009