American mathematician (born 1934)
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 .
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 2024 Kleitman was elected as a member of the National Academy of Sciences .[ 9]
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 . [ 10]
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
References
^ a b c d e f 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 ).
^ "Kleitman, Daniel J.," in: Who's Who in Frontier Science and Technology , 1, 1984, p. 396.
^ Kleitman, Daniel J in American Men of Science , vol. 4, 2009
^ Kevin Coughlin (July 25, 2012). "New park, plus tree plan, make for sunny summer day on Hillcrest Avenue in Morristown" . MorrisTownGreen.com . .
^ Daniel Kleitman at the Mathematics Genealogy Project
^ a b "MIT Mathematics - Daniel Kleitman" . www-math.mit.edu. Archived from the original on 2 April 2010. Retrieved 23 March 2010 .
^ Daniel J. Kleitman, "My Career in the Movies," , Notices of the American Mathematical Society , 45 , 502 (April 1998)
^ Grossman, Jerry. "Items of Interest Related to Erdös Numbers" . The Erdös Number Project . Oakland University . Retrieved 24 August 2018 .
^ "National Academy of Sciences Elects Members and International Members" . April 30, 2024.
^ The publication states "Bruce R. Rothschild", a typographical error for "Bruce L. Rothschild".
External links
International National Academics