Daniel Kleitman

Daniel J. Kleitman (born October 4, 1934)^[1][2][3] is an American mathematician and professor of applied mathematics at MIT. His research interests include combinatorics, graph theory, genomics, and operations research.

Kleitman

Biography

Kleitman was born in 1934 in Brooklyn, New York,^[1] the younger of Bertha and Milton Kleitman's two sons. His father was a lawyer who after WWII became a commodities trader and investor. In 1942 the family moved to Morristown, New Jersey,^[4] and he graduated from Morristown High School in 1950.^[1]

Kleitman then attended Cornell University, from which he graduated in 1954,^[1] and received his PhD in Physics from Harvard University in 1958 under Nobel Laureates Julian Schwinger and Roy Glauber.^[5] He is the "k" in G. W. Peck, a pseudonym for a group of six mathematicians that includes Kleitman. Formerly a physics professor at Brandeis University,^[6] Kleitman was encouraged by Paul Erdős to change his field of study to mathematics. Perhaps humorously, Erdős once asked him, "Why are you only a physicist?"^[1]

Kleitman joined the applied mathematics faculty at MIT in 1966, and was promoted to professor in 1969.^[6]

Kleitman coauthored at least six papers with Erdős, giving him an Erdős number of 1.

He was a math advisor and extra for the film Good Will Hunting.^[7] Since Minnie Driver, who appeared in Good Will Hunting, also appeared in Sleepers with Kevin Bacon, Kleitman has a Bacon number of 2. Adding the two numbers results in an Erdős–Bacon number of 3, which is a tie with Bruce Reznick for the lowest number anyone has.^[8]

In 1973 Kleitman was elected as a member of the American Academy of Arts and Sciences.^[9]

In 2024 Kleitman was elected as a member of the National Academy of Sciences.^[10]

Personal life

On July 26, 1964 Kleitman married Sharon Ruth Alexander. They have three children.^[1]

Selected publications

• Kleitman, Daniel (1966). "On a combinatorial problem of Erdős". Proc. Amer. Math. Soc. 17: 139–141. doi:10.1090/s0002-9939-1966-0184866-9. MR 0184866.
• Kleitman, Daniel (1969). "On Dedekind's problem: The number of monotone Boolean functions". Proc. Amer. Math. Soc. 21 (3): 677–682. doi:10.1090/s0002-9939-1969-0241334-6. MR 0241334.
• Kleitman, Daniel; Rothschild, Bruce (1970). "The number of finite topologies". Proc. Amer. Math. Soc. 25 (2): 276–282. doi:10.1090/s0002-9939-1970-0253944-9. MR 0253944.
• Erdős, Paul; Kleitman, Daniel (1971). "On collections of subsets containing 4-member Boolean algebras". Proc. Amer. Math. Soc. 28: 87–90. doi:10.1090/s0002-9939-1971-0270924-9. MR 0270924.
• Kleitman, Daniel J.; Rothschild, Bruce L. (1975). "Asymptotic enumeration of partial orders on a finite set" (PDF). Trans. Amer. Math. Soc. 205: 205–220. doi:10.1090/s0002-9947-1975-0369090-9. MR 0369090.
• Kleitman, Daniel; Markowsky, George (1975). "On Dedekind's problem: The number of isotone Boolean functions. II". Trans. Amer. Math. Soc. 213: 373–390. doi:10.1090/s0002-9947-1975-0382107-0. MR 0382107.
• Kleitman, Daniel J.; Rothschild, Bruce R.; Spencer, Joel H. (1976). "The number of semigroups of order n". Proc. Amer. Math. Soc. 55 (1): 227–232. doi:10.1090/s0002-9939-1976-0414380-0. MR 0414380.^[11]
• Kalai, Gil; Kleitman, Daniel J. (1992). "A quasi-polynomial bound for the diameter of graphs of polyhedra". Bull. Amer. Math. Soc. (N.S.). 26 (2): 315–316. arXiv:math/9204233. doi:10.1090/s0273-0979-1992-00285-9. MR 1130448. S2CID 37821778.
• Alon, Noga; Kleitman, Daniel J. (1992). "Piercing convex sets". Bull. Amer. Math. Soc. (N.S.). 27 (2): 252–256. doi:10.1090/s0273-0979-1992-00304-x. MR 1149871.
• Coventry, Alex; Kleitman, Daniel J.; Berger, Bonnie (2004). "MSARI: Multiple sequence alignments for statistical detection of RNA secondary structure". Proc Natl Acad Sci U S A. 101 (33): 12102–12107. Bibcode:2004PNAS..10112102C. doi:10.1073/pnas.0404193101. PMC 514400. PMID 15304649.

See also

• Kleitman–Wang algorithms
• Littlewood–Offord problem

References

1. Peck, G. W. (2002). "Kleitman and Combinatorics: A Celebration". Discrete Mathematics. 257 (2–3): 193–224. doi:10.1016/S0012-365X(02)00595-2. MR 1935723. (article available on Douglas West's web page, University of Illinois at Urbana–Champaign).
2. "Kleitman, Daniel J.," in: Who's Who in Frontier Science and Technology, 1, 1984, p. 396.
3. Kleitman, Daniel J in American Men of Science, vol. 4, 2009
4. Kevin Coughlin (July 25, 2012). "New park, plus tree plan, make for sunny summer day on Hillcrest Avenue in Morristown". MorrisTownGreen.com..
5. Daniel Kleitman at the Mathematics Genealogy Project
6. "MIT Mathematics - Daniel Kleitman". www-math.mit.edu. Archived from the original on 2 April 2010. Retrieved 23 March 2010.
7. Daniel J. Kleitman, "My Career in the Movies,", Notices of the American Mathematical Society, 45, 502 (April 1998)
8. Grossman, Jerry. "Items of Interest Related to Erdös Numbers". The Erdös Number Project. Oakland University. Retrieved 24 August 2018.
9. "Members of American Academy of Arts and Sciences". April 24, 1973.
10. "National Academy of Sciences Elects Members and International Members". April 30, 2024.
11. The publication states "Bruce R. Rothschild", a typographical error for "Bruce L. Rothschild".

External links

• Kleitman's homepage
• Peck, G. W. (2002). "Kleitman and Combinatorics: A Celebration". Discrete Mathematics. 257 (2–3): 193–224. doi:10.1016/S0012-365X(02)00595-2. MR 1935723. (article available on Douglas West's web page, University of Illinois at Urbana–Champaign)