Richard James Milgram (born 5 December 1939 in South Bend, Indiana) is an American mathematician, specializing in algebraic topology. He is the son of mathematician

Arthur Milgram Arthur Norton Milgram (3 June 1912, in Philadelphia – 30 January 1961) was an American mathematician. He made contributions in functional analysis, combinatorics, differential geometry, topology, partial differential equations, and Galois theory. ...

Biography

Milgram graduated from the University of Chicago with a bachelor's degree and a master's degree in 1961. He received his doctorate in 1964 from the University of Minnesota with thesis ''The homology ring of symmetric products of Moore spaces'' under the supervision of Alfred Aeppli (1928–2008). Milgram taught from 1970 as a professor at

Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...

, where he is now emeritus. He was a visiting professor at the

University of Lille The University of Lille (french: Université de Lille, abbreviated as ULille, UDL or univ-lille) is a French public research university based in Lille, Hauts-de-France. It has its origins in the University of Douai (1559), and resulted from the m ...

(2001), the Chinese Academy of Sciences (2000) in Beijing, at the University of Göttingen (1987 as Gauss Professor), and at the University of Minnesota (1986 as Ordway Professor), as well as the

ETH Zurich (colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , ac ...

, Edinburgh, Montreal, Barcelona, the MSRI, and the University of New Mexico. In 1974, Milgram was an Invited Speaker with talk ''The structure of the oriented topological and piecewise linear bordism rings'' 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 rename ...

in Vancouver. He was an editor for the '' Pacific Journal of Mathematics'' from 1973 to 1983, for the ''

Duke Mathematical Journal ''Duke Mathematical Journal'' is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas Joseph Miller Thomas (16 ...

'' from 1976 to 1984, and for the A.M.S. ''Contemporary Mathematics'' series (from its inception in 1980 to 1984). In August 1999 Stanford University held a mathematical conference in his honor. His doctoral students include

Gunnar Carlsson Gunnar E. Carlsson (born August 22, 1952 in Stockholm, Sweden) is an American mathematician, working in algebraic topology. He is known for his work on the Segal conjecture, and for his work on applied algebraic topology, especially topological ...

Research

With

Charles P. Boyer Charles Place Boyer (born April 1942) is an American mathematician, specializing in differential geometry and moduli spaces. He is known as one of the four mathematicians who jointly proved in 1992 the Atiyah–Jones conjecture. Boyer graduated f ...

, Jacques Hurtubise, and Benjamin M. Mann, he 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 ...

on the topology of the moduli space of instantons on spheres. He has also done research on robotics and protein folding.

Mathematics education

In addition to algebraic and geometric topology, he has written on mathematics education and served on numerous committees, including the

National Board for Education Sciences The Institute of Education Sciences (IES) is the independent, non-partisan statistics, research, and evaluation arm of the U.S. Department of Education. IES' stated mission is to provide scientific evidence on which to ground education practice ...

(since 2005). He is one of the major authors of the mathematical standards for schools in California and has advised the school authorities in Michigan, New York, and Georgia.

Selected publications

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References

External links