Steve Shnider is a retired professor of
mathematics at
Bar Ilan University
Bar-Ilan University (BIU, he, אוניברסיטת בר-אילן, ''Universitat Bar-Ilan'') is a public research university in the Tel Aviv District city of Ramat Gan, Israel. Established in 1955, Bar Ilan is Israel's second-largest academic i ...
.
He received a PhD in Mathematics from
Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...
in 1972, under
Shlomo Sternberg.
His main interests are in the
differential geometry of
fiber bundles; algebraic methods in the theory of
deformation
Deformation can refer to:
* Deformation (engineering), changes in an object's shape or form due to the application of a force or forces.
** Deformation (physics), such changes considered and analyzed as displacements of continuum bodies.
* Defor ...
of geometric structures;
symplectic geometry;
supersymmetry;
operads
In mathematics, an operad is a structure that consists of abstract operations, each one having a fixed finite number of inputs (arguments) and one output, as well as a specification of how to compose these operations. Given an operad O, one defin ...
; and
Hopf algebras.
He retired in 2014.
Book on operads
A 2002 book of Markl, Shnider and Stasheff ''Operads in algebra, topology, and physics'' was the first book to provide a systematic treatment of
operad theory
In mathematics, an operad is a structure that consists of abstract operations, each one having a fixed finite number of inputs (arguments) and one output, as well as a specification of how to compose these operations. Given an operad O, one define ...
, an area of mathematics that came to prominence in 1990s and found many applications in
algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify ...
,
category theory, graph cohomology,
representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...
,
algebraic geometry,
combinatorics,
knot theory,
moduli spaces, and other areas. The book was the subject of a ''Featured Review'' in
Mathematical Reviews by
Alexander A. VoronovAMS Bookstore listing
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, ...
. Accessed January 24, 2010 which stated, in particular: "The first book whose main goal is the theory of operads per se ... a book such as this one has been long awaited by a wide scientific readership, including mathematicians and theoretical physicists ... a great piece of mathematical literature and will be helpful to anyone who needs to use operads, from graduate students to mature mathematicians and physicists."
Bibliography
According to Mathematical Reviews, Shnider's work has been cited over 300 times by over 300 authors by 2010.
Books
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Selected papers
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References
21st-century Israeli mathematicians
Living people
Geometers
Harvard University alumni
Year of birth missing (living people)
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