Charles Place Boyer (born April 1942) is an American mathematician, specializing in differential geometry and
moduli space
In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects. Such spac ...
s.
He is known as one of the four mathematicians who jointly proved in 1992 the
Atiyah–Jones conjecture
In mathematics, the Atiyah–Jones conjecture is a conjecture about the homology of the moduli spaces of instantons. The original form of the conjecture considered instantons over a 4 dimensional sphere. It was introduced by and proved by . The ...
.
Boyer graduated from Pennsylvania State University with a B.S. in 1966 and a Ph.D. in 1972. His thesis ''Field Theory on a Seven-Dimensional Homogeneous Space of the Poincaré Group'' was written under the supervision of Gordon N. Fleming. After receiving his Ph.D. Boyer worked for a number of years at the
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas (IIMAS) of the
Universidad Nacional Autónoma de México (UNAM). At IIMAS-UNAM he was from 1972 to 1973 a visiting researcher, from 1974 to 1975 a researcher (
Asociado C), from 1975 to 1978 a researcher (
Titular A), and from 1978 to 1981 a researcher (
Titular B). He was from 1973 to 1974 a visiting researcher at the University of Montreal and from 1981 to 1982 a visiting research fellow at Harvard University. At
Clarkson University he was from 1983 to 1988 an associate professor. At the
University of New Mexico he was from 1988 to 2012 a full professor, retiring as professor emeritus in 2012.
He is the author or co-author of over 100 articles in refereed journals. He worked for many years with Krzysztof Galicki (1958–2007). Their comprehensive monograph (and graduate textbook) ''Sasakian Geometry'' was published shortly after Galicki's death.
In 2012 Boyer was elected a fellow of the
American Mathematical Society.
See also
*
Sasakian manifold In differential geometry, a Sasakian manifold (named after Shigeo Sasaki) is a contact manifold (M,\theta) equipped with a special kind of Riemannian metric g, called a ''Sasakian'' metric.
Definition
A Sasakian metric is defined using the constr ...
References
External links
*
{{DEFAULTSORT:Boyer, Charles P.
1942 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Differential geometers
Eberly College of Science alumni
Clarkson University faculty
University of New Mexico faculty
Fellows of the American Mathematical Society