Jane Piore Gilman

Jane Piore Gilman (born 1945)[1] is an American mathematician, a distinguished professor of mathematics at Rutgers University.[2] Her research concerns topology and group theory.

Education and careerEdit

Gilman is one of three children of physicist Emanuel R. Piore.[3] She did her undergraduate studies at the University of Chicago, graduating in 1965,[2] and received her Ph.D. from Columbia University in 1971. Her thesis, supervised by Lipman Bers, was entitled Relative Modular Groups in Teichmüller Spaces.[4] She worked for a year as an instructor at Stony Brook University before joining Rutgers in 1972.[2]


Gilman is the author of a monograph on the problem of testing whether pairs of elements of PSL(2,R) (the group of orientation-preserving isometries of the hyperbolic plane) generate a Fuchsian group (a discrete subgroup of PSL(2,R)). It is Two-generator Discrete Subgroups of PSL(2, R) (Memoirs of the American Mathematical Society 117, 1995).[5] With Irwin Kra and Rubí E. Rodríguez she is the co-author of a graduate-level textbook on complex analysis, Complex Analysis: In the Spirit of Lipman Bers (Graduate Texts in Mathematics 245, Springer, 2007; 2nd ed., 2013).[6]


In 2014 she was elected as a fellow of the American Mathematical Society "for contributions to topology and group theory, and for service to her department and the larger community."[7]


  1. ^ Birth year from ISNI authority control file, retrieved 2018-11-27.
  2. ^ a b c Curriculum vitae, February 8, 2013, retrieved 2014-06-14.
  3. ^ Saxon, Wolfgang (May 12, 2000), "Emanuel Piore, 91, Leader And Researcher at I.B.M.", New York Times.
  4. ^ Jane Piore Gilman at the Mathematics Genealogy Project
  5. ^ Review of Two-generator Discrete Subgroups of PSL(2, R) by C. Maclachlan (1997), MR1290281.
  6. ^ Review of Complex Analysis: In the Spirit of Lipman Bers (2nd ed.) by Leonid V. Kovalev, MR2986247
  7. ^ 2014 Class of the Fellows of the AMS, retrieved 2014-06-16.