David Allen Bayer (born November 29, 1955) is an American
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
O ...
known for his contributions in
algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics.
Elementary a ...
and
symbolic computation
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expression ...
and for his consulting work in the movie industry. He is a
professor
Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who pr ...
of
mathematics at
Barnard College
Barnard College of Columbia University is a private women's liberal arts college in the borough of Manhattan in New York City. It was founded in 1889 by a group of women led by young student activist Annie Nathan Meyer, who petitioned Columbi ...
,
Columbia University.
Education and career
Bayer was educated at
Swarthmore College
Swarthmore College ( , ) is a private liberal arts college in Swarthmore, Pennsylvania. Founded in 1864, with its first classes held in 1869, Swarthmore is one of the earliest coeducational colleges in the United States. It was established as a ...
as an undergraduate, where he attended a course on combinatorial algorithms given by
Herbert Wilf
Herbert Saul Wilf (June 13, 1931 – January 7, 2012) was a mathematician, specializing in combinatorics and graph theory. He was the Thomas A. Scott Professor of Mathematics in Combinatorial Analysis and Computing at the University of Pennsyl ...
. During that semester, Bayer related several original ideas to Wilf on the subject. These contributions were later incorporated into the second edition of Wilf and
Albert Nijenhuis' influential book ''Combinatorial Algorithms'', with a detailed acknowledgement by its authors.
Bayer subsequently earned his
Ph.D.
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
at
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 higher le ...
in 1982 under the direction of
Heisuke Hironaka
is a Japanese mathematician who was awarded the Fields Medal in 1970 for his contributions to algebraic geometry.
Career
Hironaka entered Kyoto University in 1949. After completing his undergraduate studies at Kyoto University, he received his ...
with a dissertation entitled ''The Division Algorithm and the Hilbert Scheme''. He joined
Columbia University thereafter.
Bayer is the son of
Bryce Bayer
Bryce Edward Bayer (/ˈbaɪər/; pronounced BYE-er, August 15, 1929 – November 13, 2012) was an American scientist who invented the Bayer filter, which is used in most modern digital cameras. He has been called "the maestro without whom photogr ...
, the inventor of the
Bayer filter.
Contributions
Bayer has worked in various areas of
algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics.
Elementary a ...
and
symbolic computation
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expression ...
, including
Hilbert functions,
Betti number
In algebraic topology, the Betti numbers are used to distinguish topological spaces based on the connectivity of ''n''-dimensional simplicial complexes. For the most reasonable finite-dimensional spaces (such as compact manifolds, finite simplicia ...
s, and
linear programming
Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is ...
. He has written a number of highly cited papers in these areas with other notable mathematicians, including
Bernd Sturmfels,
Jeffrey Lagarias
Jeffrey Clark Lagarias (born November 16, 1949 in Pittsburgh, Pennsylvania, United States) is a mathematician and professor at the University of Michigan.
Education
While in high school in 1966, Lagarias studied astronomy at the Summer Science P ...
,
Persi Diaconis
Persi Warren Diaconis (; born January 31, 1945) is an American mathematician of Greek descent and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University.
He is particularly known f ...
,
Irena Peeva, and
David Eisenbud
David Eisenbud (born 8 April 1947 in New York City) is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and Director of the Mathematical Sciences Research Institute (MSRI); he previously ser ...
. Bayer is one of ten individuals cited in the white paper published by the pseudonymous
Satoshi Nakamoto
Satoshi Nakamoto is the name used by the presumed pseudonymous person or persons who developed bitcoin, authored the bitcoin white paper, and created and deployed bitcoin's original reference implementation. As part of the implementation, Naka ...
describing the technological underpinnings of
Bitcoin. He is cited as a co-author, along with
Stuart Haber
Stuart Haber is an American cryptographer and computer scientist, known for his contributions in cryptography and privacy-preserving technologies and widely recognized as the co-inventor of the blockchain. His 1991 paper "How to Time-Stamp a Dig ...
and
W. Scott Stornetta, of a paper to improve on a system for tamper-proofing
timestamps
A timestamp is a sequence of characters or encoded information identifying when a certain event occurred, usually giving date and time of day, sometimes accurate to a small fraction of a second. Timestamps do not have to be based on some absolut ...
by incorporating
Merkle trees
In cryptography and computer science, a hash tree or Merkle tree is a tree in which every "leaf" (node) is labelled with the cryptographic hash of a data block, and every node that is not a leaf (called a ''branch'', ''inner node'', or ''inode'') ...
.
Consulting
Bayer was a mathematics
consultant for the film ''
A Beautiful Mind'', the
biopic
A biographical film or biopic () is a film that dramatizes the life of a non-fictional or historically-based person or people. Such films show the life of a historical person and the central character's real name is used. They differ from docu ...
of
John Nash, and also had a cameo as one of the "Pen Ceremony" professors.
References
External links
Bayer's homepage at Columbia University*
*
Dave and Beautiful Math at Swarthmore College Bulletin
{{DEFAULTSORT:Bayer, Dave
Living people
1955 births
Mathematicians from New York (state)
20th-century American mathematicians
21st-century American mathematicians
Swarthmore College alumni
Harvard University alumni
Barnard College faculty
Algebraists
Combinatorialists
Algebraic geometers
Scientists from Rochester, New York