Murray Gerstenhaber
Encyclopedia
Murray Gerstenhaber is an American
mathematician, professor of mathematics at the University of Pennsylvania, best known for his contributions to theoretical physics
with his discovery of Gerstenhaber algebra.
. From 1945 to 1947 he served as an infantry in the United States Army
. He finished his B.Sc. in mathematics
at Yale University
(1948), and while there, he participated in silver-award winning teams with celebrated mathematicians, such as Murray Gell-Mann
and Henry O. Pollak
. He earned an M.A.
and Ph.D.
(1951) degree in mathematics
from the University of Chicago
, under the instruction of Abraham Adrian Albert
.
He was an assistant professor at the department of mathematics at the University of Pennsylvania
from 1953 to 1958, rising to Associate Professor, (1958–61) and full Professor (1961–present).
Gerstenhaber earned a J.D.
from the University of Pennsylvania
(1973) and was admitted to Pennsylvania bar in 1974. He is also a Lecturer in Law at the University of Pennsylvania Law School.
His research interests include: Algebraic Deformation Theory
, Universal Algebra
, Quantum Groups
and Statistics for Law.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician, professor of mathematics at the University of Pennsylvania, best known for his contributions to theoretical physics
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
with his discovery of Gerstenhaber algebra.
About
Gesternhaber was born in BrooklynBrooklyn
Brooklyn is the most populous of New York City's five boroughs, with nearly 2.6 million residents, and the second-largest in area. Since 1896, Brooklyn has had the same boundaries as Kings County, which is now the most populous county in New York State and the second-most densely populated...
. From 1945 to 1947 he served as an infantry in the United States Army
United States Army
The United States Army is the main branch of the United States Armed Forces responsible for land-based military operations. It is the largest and oldest established branch of the U.S. military, and is one of seven U.S. uniformed services...
. He finished his B.Sc. in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
at Yale University
Yale University
Yale University is a private, Ivy League university located in New Haven, Connecticut, United States. Founded in 1701 in the Colony of Connecticut, the university is the third-oldest institution of higher education in the United States...
(1948), and while there, he participated in silver-award winning teams with celebrated mathematicians, such as Murray Gell-Mann
Murray Gell-Mann
Murray Gell-Mann is an American physicist and linguist who received the 1969 Nobel Prize in physics for his work on the theory of elementary particles...
and Henry O. Pollak
Henry O. Pollak
Henry Otto Pollak is an Austrian-American mathematician, known for his contributionsto information theory.Born in Vienna, Austria, he since moved to USA. While at Yale University for his B.Sc. in mathematics...
. He earned an M.A.
Master of Arts (postgraduate)
A Master of Arts from the Latin Magister Artium, is a type of Master's degree awarded by universities in many countries. The M.A. is usually contrasted with the M.S. or M.Sc. degrees...
and Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
(1951) degree in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
from the University of Chicago
University of Chicago
The University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...
, under the instruction of Abraham Adrian Albert
Abraham Adrian Albert
Abraham Adrian Albert was an American mathematician. In 1939, he received the first American Mathematical Society's Cole Prize in Algebra for his work on Riemann matrices...
.
He was an assistant professor at the department of mathematics at the University of Pennsylvania
University of Pennsylvania
The University of Pennsylvania is a private, Ivy League university located in Philadelphia, Pennsylvania, United States. Penn is the fourth-oldest institution of higher education in the United States,Penn is the fourth-oldest using the founding dates claimed by each institution...
from 1953 to 1958, rising to Associate Professor, (1958–61) and full Professor (1961–present).
Gerstenhaber earned a J.D.
Juris Doctor
Juris Doctor is a professional doctorate and first professional graduate degree in law.The degree was first awarded by Harvard University in the United States in the late 19th century and was created as a modern version of the old European doctor of law degree Juris Doctor (see etymology and...
from the University of Pennsylvania
University of Pennsylvania
The University of Pennsylvania is a private, Ivy League university located in Philadelphia, Pennsylvania, United States. Penn is the fourth-oldest institution of higher education in the United States,Penn is the fourth-oldest using the founding dates claimed by each institution...
(1973) and was admitted to Pennsylvania bar in 1974. He is also a Lecturer in Law at the University of Pennsylvania Law School.
His research interests include: Algebraic Deformation Theory
Deformation theory
In mathematics, deformation theory is the study of infinitesimal conditions associated with varying a solution P of a problem to slightly different solutions Pε, where ε is a small number, or vector of small quantities. The infinitesimal conditions are therefore the result of applying the approach...
, Universal Algebra
Algebraic structure
In abstract algebra, an algebraic structure consists of one or more sets, called underlying sets or carriers or sorts, closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties...
, Quantum Groups
Quantum group
In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra...
and Statistics for Law.