# Alan J. Hoffman

Alan Hoffman | |
---|---|

Born |
New York City | May 30, 1924

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

- ↑ Personal Page, IBM. "Alan Hoffman". IBM Research. Archived from the original on 2012-03-14. Retrieved 2011-11-14.
- ↑ 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.
- ↑ "People: Alan Hoffman".
*IBM Research*. Retrieved 5 January 2015.

## References

## External links

- Biography of Alan J. Hoffman from the Institute for Operations Research and the Management Sciences

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