Alan J. Hoffman

Alan Hoffman
Born	May 30, 1924 New York City
Nationality	American
Fields	Mathematics
Institutions	Thomas J. Watson Research Center City University of New York
Alma mater	Columbia University
Thesis	On the Foundations of Inversion Geometry (1950)
Doctoral advisor	Edgar Lorch
Doctoral students	Michael Doob Refael Hassin Thomas McCormick
Notable awards	John von Neumann Theory Prize (1992)

Alan Jerome Hoffman (born May 30, 1924^[1]) is an American mathematician and IBM Fellow emeritus, T. J. Watson Research Center, IBM, in Yorktown Heights, New York. He is the founding editor of the journal Linear Algebra and its Applications, and holds several patents. He has contributed a great deal to combinatorial optimization and the eigenvalue theory of graphs. Hoffman and Robert Singleton constructed the Hoffman–Singleton graph, which is the unique Moore graph of degree 7 and diameter 2.^[2]

Awards

Alan Hoffman is a recipient of many awards.^[3]

• IBM Fellow, 1978–
• Member, National Academy of Sciences, 1982–
• Fellow, American Academy of Arts and Sciences, 1987–
• D. Sc. (Hon.) Technion – Israel Institute of Technology, 1986
• 1992 John von Neumann Theory Prize with Philip Wolfe

Select Publications

• Hoffman A. J. & Jacobs W. (1954) Smooth patterns of production. in Management Science, 1(1): 86-91.
• Hoffman A. J. & Wolfe P. (1985) History. Lawler E. L., Lenstra J. K., Rimmooy Kan A. H. G., & Shmoys D. B., eds. in The Traveling Salesman Problem. John Wiley & Sons: New York.

Notes

1. Personal Page, IBM. "Alan Hoffman". IBM Research. Retrieved 2011-11-14.
2. A.E. Brouwer & J.H. van Lint, Strongly regular graphs and partial geometries, in: Enumeration and Design - Proc. Silver Jubilee Conf. on Combinatorics, Waterloo, 1982, D.M. Jackson & S.A. Vanstone (eds.) Academic Press, Toronto (1984) 108.
3. "People: Alan Hoffman". IBM Research. Retrieved 5 January 2015.

References

• Alan Jerome Hoffman at the Mathematics Genealogy Project