Linda Jo Goldway Keen (born August 9, 1940, in New York City, New York) is a mathematician and a fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

. Since 1965, she has been a professor in the Department of Mathematics and Computer Science at Lehman College of

The City University of New York , mottoeng = The education of free people is the hope of Mankind , budget = $3.6 billion , established = , type = Public university system , chancellor = Fél ...

and a Professor of Mathematics at The Graduate Center of

The City University of New York , mottoeng = The education of free people is the hope of Mankind , budget = $3.6 billion , established = , type = Public university system , chancellor = Fél ...

Professional career

As a high school student she attended the

Bronx High School of Science The Bronx High School of Science, commonly called Bronx Science, is a public specialized high school in The Bronx in New York City. It is operated by the New York City Department of Education. Admission to Bronx Science involves passing the Sp ...

. She received her Bachelor of Science degree from the City College of New York, then studied at the

Courant Institute of Mathematical Sciences The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research cente ...

, earning her Doctor of Philosophy in mathematics in 1964. She wrote her thesis on

Riemann surface In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed ver ...

s under the direction of

Lipman Bers Lipman Bers ( Latvian: ''Lipmans Berss''; May 22, 1914 – October 29, 1993) was a Latvian-American mathematician, born in Riga, who created the theory of pseudoanalytic functions and worked on Riemann surfaces and Kleinian groups. He was also ...

NYU New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin. In 1832, the ...

. Keen has worked at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent schola ...

, Hunter College,

University of California at Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant uni ...

Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...

Boston University Boston University (BU) is a Private university, private research university in Boston, Massachusetts. The university is nonsectarian, but has a historical affiliation with the United Methodist Church. It was founded in 1839 by Methodists with ...

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...

, and the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...

, as well as at various mathematical institutes in Europe and South America. After her initial appointment in 1965, in 1974 Keen was promoted to Full Professor at Lehman College and the

CUNY Graduate Center The Graduate School and University Center of the City University of New York (CUNY Graduate Center) is a public research institution and post-graduate university in New York City. Serving as the principal doctorate-granting institution of the C ...

. She served as Executive Officer of the Mathematics Program at the Graduate Center before retiring in 2017. Keen served as president of the

Association for Women in Mathematics The Association for Women in Mathematics (AWM) is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity for and the equal treatment o ...

during 1985-1986 and as vice-president of the

during 1992-1995. She served on the board of trustees of the

from 1999-2009 and as Associate Treasurer from 2009-2011. Keen worked with the mathematicians Paul Blanchard, Robert L. Devaney, Jane Gilman, Lisa Goldberg,Yunping Jiang, Nikola Lakic and Caroline Series among many others. In 1975, Keen presented an AMS invited address and in 1989 she presented an MAA joint invited address. In 1993 she was selected as a

Noether Lecturer The Noether Lecture is a distinguished lecture series that honors women "who have made fundamental and sustained contributions to the mathematical sciences". The Association for Women in Mathematics (AWM) established the annual lectures in 1980 as t ...

by the

Contributions

In addition to studying

s, Keen has worked in

hyperbolic geometry In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P ...

Kleinian group In mathematics, a Kleinian group is a discrete subgroup of the group of orientation-preserving isometries of hyperbolic 3-space . The latter, identifiable with , is the quotient group of the 2 by 2 complex matrices of determinant 1 by their ...

s and

Fuchsian group In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R). The group PSL(2,R) can be regarded equivalently as a group of isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations o ...

s, complex analysis, and hyperbolic dynamics. In the field of hyperbolic geometry, she is known for the Collar lemma.

Personal

She is married to Jonathan Brezin and resides in New York.

Awards and honors

She has been honored with: *AAUW Postdoctoral Fellowship Award, 1964–65 *National Science Foundation Postdoctoral Fellow, 1964–65 *Edwin S. Webster-Abby Rockefeller Mauze Award, M.I.T. 1990 *Finnish Mathematical Society Invited Foreign Speaker, JAN 1991 *

Emmy

, 1993 *Joint Irish and London Mathematical Societies Invited Speaker, 1998 *Lehman College Foundation Faculty Award, 1998 *MAA Invited hour Address, Boulder CO, 1989 *Swedish Royal Academy of Sciences Kovalevsky Days Programme Main Speaker, 2006 In 2012 she became a fellow of the

. In 2017, she was selected as a fellow of the

in the inaugural class.

Books

* ''Hyperbolic Geometry from a Local Viewpoint'' (with Nikola Lakic, London Mathematical Society Student Texts 68, Cambridge University Press, 2007) * ''The Legacy of Sonya Kovalevskaya'' (edited, Contemporary Mathematics 64, American Mathematical Society, 1987) * ''Chaos and Fractals: The Mathematics Behind the Computer Graphics'' (edited with Robert L. Devaney, Proc. Symposia in Appl. Math, 39, American Mathematical Society, 1989) * ''Lipa's Legacy: Proceedings of the 1st Bers Colloquium'' (edited with Józef Dodziuk, Contemporary Mathematics 211, American Mathematical Society, 1997) * ''Complex dynamics. Twenty-five years after the appearance of the Mandelbrot set'' (edited with Robert L. Devaney, Contemporary Mathematics 396, American Mathematical Society, 2006) * ''Lipman Bers, a Life in Mathematics'' (edited with Irwin Kra and Rubí E. Rodríguez, American Mathematical Society, 2015)Review of ''Lipman Bers, a Life in Mathematics'': Bruno P. Zimmermann,

References

External links

Linda Keen

Linda Keen
{{DEFAULTSORT:Keen, Linda American women mathematicians 20th-century American mathematicians 21st-century American mathematicians 1940 births Living people City College of New York alumni Courant Institute of Mathematical Sciences alumni Lehman College faculty Institute for Advanced Study visiting scholars Hunter College faculty University of California, Berkeley faculty Columbia University faculty Boston University faculty Princeton University faculty Massachusetts Institute of Technology faculty City University of New York faculty Fellows of the American Mathematical Society Fellows of the Association for Women in Mathematics 20th-century women mathematicians 21st-century women mathematicians 20th-century American women 21st-century American women