Lenore Blum
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Lenore Carol Blum (née Epstein, born December 18, 1942) is an American computer scientist and mathematician who has made pioneering contributions to the theories of real number computation,
cryptography Cryptography, or cryptology (from grc, , translit=kryptós "hidden, secret"; and ''graphein'', "to write", or '' -logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of adv ...
, and pseudorandom number generation. She was a distinguished career professor of computer science at
Carnegie Mellon University Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania. One of its predecessors was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools; it became the Carnegie Institute of Technology ...
until 2019 and is currently a professor in residence at the
University of California, 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 un ...
. She is also known for her efforts to increase diversity in mathematics and computer science.


Early life and education

Blum was born to a Jewish family in New York City, where her mother was a science teacher. They moved to
Venezuela Venezuela (; ), officially the Bolivarian Republic of Venezuela ( es, link=no, República Bolivariana de Venezuela), is a country on the northern coast of South America, consisting of a continental landmass and many islands and islets in th ...
when Blum was nine. After graduating from her Venezuelan high school at age 16, she studied architecture at
Carnegie Institute of Technology Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania. One of its predecessors was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools; it became the Carnegie Institute of Technolog ...
(now Carnegie Mellon University) beginning in 1959. With the assistance of Alan Perlis, she shifted fields to mathematics in 1960. She married Manuel Blum, then a student at 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 th ...
, and transferred in 1961 to
Simmons College Institutions of learning called Simmons College or Simmons University include: * Simmons University, a women's liberal arts college in Boston, Massachusetts * Simmons College of Kentucky, a historically black college in Louisville, Kentucky * Har ...
, a private women's liberal arts college in Boston. Simmons did not have a strong mathematics program but she was eventually able to take Isadore Singer's mathematics classes at MIT, graduating from Simmons with a B.S. in mathematics in 1963. She received her Ph.D. in mathematics from 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 th ...
in 1968. Her dissertation, ''Generalized Algebraic Theories: A Model Theoretic Approach'', was supervised by
Gerald Sacks Gerald Enoch Sacks (1933 – October 4, 2019) was a logician whose most important contributions were in recursion theory. Named after him is Sacks forcing, a forcing notion based on perfect sets and the Sacks Density Theorem, which asserts tha ...
. She had switched to being advised by Sacks after being unable to follow an earlier advisor in his move to
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 ...
because, at the time, Princeton did not accept female graduate students.


Career

After completing her doctorate, Blum went to the
University of California at Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public university, public land-grant university, land-grant research university in Berkeley, California. Established in 1868 as the University of Californi ...
to work with
Julia Robinson Julia Hall Bowman Robinson (December 8, 1919July 30, 1985) was an American mathematician noted for her contributions to the fields of computability theory and computational complexity theory—most notably in decision problems. Her work on Hilber ...
as a postdoctoral fellow and lecturer in mathematics. However, the department had no permanent positions for women, and after two years, her position as lecturer was not renewed. In 1971 she became one of the founders 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 ...
. In 1973 she joined the faculty of
Mills College Mills College at Northeastern University is a private college in Oakland, California and part of Northeastern University's global university system. Mills College was founded as the Young Ladies Seminary in 1852 in Benicia, California; it w ...
, a women's college in the Oakland hills near Berkeley. In 1974 she founded the mathematics and computer science department at Mills, at that time the only computer science program at a women's college. She served as the head or co-head of the department for 13 years. From 1975 to 1978 she served as the third president of the Association for Women in Mathematics. In 1979 she was awarded an
endowed professorship A financial endowment is a legal structure for managing, and in many cases indefinitely perpetuating, a pool of financial, real estate, or other investments for a specific purpose according to the will of its founders and donors. Endowments are o ...
, the first Letts-Villard Chair at Mills. In 1983 Blum won a
National Science Foundation The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National ...
Visiting Professorship for Women award to work with
Michael Shub Michael Ira Shub (born August 17, 1943) is an American mathematician who has done research into dynamical systems and the complexity of real number algorithms. Biography Shub obtained his Ph.D. degree at the University of California, Berke ...
for two years at the CUNY Graduate Center. In 1987 she spent a year at IBM. In 1992 Blum became the deputy director of the
Mathematical Sciences Research Institute The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the University of California campus in Berkeley, Calif ...
(MSRI), working there with its director
William Thurston William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds. Thursto ...
. After visiting the City University of Hong Kong in 1996–1998 to work on her book ''Complexity and Real Computation'' (during Hong Kong's handover from British to Chinese rule), she became a Distinguished Career Professor of Computer Science at
Carnegie Mellon University Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania. One of its predecessors was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools; it became the Carnegie Institute of Technology ...
(CMU) in 1999. At CMU, she took the philosophy that the low numbers of women majoring in computer science were in part caused by a vicious cycle: because there were few women, the women in computer science had fewer support networks (such as friends in the same major to help them with coursework) than men. And because these factors made being a computer scientist less pleasant and more difficult for the women, fewer women chose to major in computer science. Instead of the then-popular approach of changing the curriculum to be more application-centric in the hope of attracting women, she pushed to maintain a traditional computer science program but to change the culture surrounding the program to be more welcoming. In support of this goal, she founded the Women@SCS program at CMU, which provided both mentoring and outreach opportunities for women in computer science. Through this program, which came to be directed by Blum's student Carol Frieze, CMU was able to increase the proportion of women in the undergraduate computer science program to nearly 50%. Blum also founded Project Olympus at CMU, a
business incubator Business incubator is an organization that helps startup companies and individual entrepreneurs to develop their businesses by providing a fullscale range of services starting with management training and office space and ending with venture c ...
program that led to many startups in Pittsburgh associated with CMU and its computer program. She resigned from CMU in 2018 (effective August 2019) after a change in management structure of Project Olympus led to sexist treatment of her and the exclusion of other women from project activities.


Research

The Blum Blum Shub pseudorandom number generator, published jointly by Blum, Manuel Blum, and Michael Shub, is based on the operation of squaring numbers modulo the products of two large primes. Its security can be reduced to the
computational hardness assumption In computational complexity theory, a computational hardness assumption is the hypothesis that a particular problem cannot be solved efficiently (where ''efficiently'' typically means "in polynomial time"). It is not known how to prove (unconditio ...
that
integer factorization In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization. When the numbers are s ...
is infeasible. Blum is also known for the
Blum–Shub–Smale machine In computation theory, the Blum–Shub–Smale machine, or BSS machine, is a model of computation introduced by Lenore Blum, Michael Shub and Stephen Smale, intended to describe computations over the real numbers. Essentially, a BSS machine is a Ra ...
, a theoretical model of computation over the
real number In mathematics, a real number is a number that can be used to measure a ''continuous'' one-dimensional quantity such as a distance, duration or temperature. Here, ''continuous'' means that values can have arbitrarily small variations. Every ...
s. Blum and her co-authors, Michael Shub and
Stephen Smale Stephen Smale (born July 15, 1930) is an American mathematician, known for his research in topology, dynamical systems and mathematical economics. He was awarded the Fields Medal in 1966 and spent more than three decades on the mathematics faculty ...
, showed that (analogously to the theory of
Turing machine A Turing machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model's simplicity, it is capable of implementing any computer alg ...
s) one can define analogues of NP-completeness, undecidability, and universality for this model. For instance, in this model it is undecidable to determine whether a given point belongs to the Mandelbrot set. She published a book on the subject, and in 1990 she gave an address at the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rena ...
on
computational complexity theory In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other. A computational problem is a task solved ...
and
real computation In computability theory, the theory of real computation deals with hypothetical computing machines using infinite-precision real numbers. They are given this name because they operate on the set of real numbers. Within this theory, it is possible ...
.


Recognition

In 2002, Blum was selected to be an
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 ...
Noether Lecture 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 ...
r. In 2005, Blum was a recipient of the Presidential Award for Excellence in Science, Mathematics, and Engineering Mentoring, given by president George W. Bush "for her efforts to mentor girls and women in technology fields where traditionally they are underrepresented". She was given the Simmons University 2018 Distinguished Alumnae Lifetime Achievement Award in 2018. Blum was elected as a Fellow of the
American Association for the Advancement of Science The American Association for the Advancement of Science (AAAS) is an American international non-profit organization with the stated goals of promoting cooperation among scientists, defending scientific freedom, encouraging scientific respons ...
in 1979. In 2012, Blum became 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, meeting ...
. In 2017 she was selected as a fellow of the Association for Women in Mathematics in the inaugural class. She is included in a deck of playing cards featuring notable women mathematicians published by the Association of Women in Mathematics.


Personal life

Lenore Blum is married to Manuel Blum and is the mother of
Avrim Blum Avrim Blum (born 27 May 1966) is a computer scientist. In 2007, he was made a Fellow of the Association for Computing Machinery "for contributions to learning theory and algorithms." Blum attended MIT, where he received his Ph.D. in 1991 under pr ...
. All three have been
MIT alumni This list of Massachusetts Institute of Technology alumni includes students who studied as undergraduates or graduate students at MIT's School of Engineering; School of Science; MIT Sloan School of Management; School of Humanities, Arts ...
and professors of Computer Science at Carnegie Mellon.


Selected publications


References


External links


Lenore Blum's Home Page
{{DEFAULTSORT:Blum, Lenore Living people 1942 births 20th-century American mathematicians 21st-century American mathematicians American computer scientists Women mathematicians American women computer scientists Theoretical computer scientists Simmons University alumni Massachusetts Institute of Technology School of Science alumni Mills College faculty University of California, Berkeley College of Letters and Science faculty Carnegie Mellon University faculty Fellows of the American Association for the Advancement of Science Fellows of the American Mathematical Society Fellows of the Association for Women in Mathematics 21st-century American women