Jonathan Farley

[One of] Jamaica’s Gifts to the World

Dr. Lloyd Eubank-Green, author of Jamaica’s Gifts to the World (Randle Publishing, Kingston, Jamaica, 2011) and Mark Wignall, columnist for the Jamaica Observer newspaper, 2011




Pure Mathematics

Math for Counterterrorism

Math and Education

 

 

Pure Mathematics

SUMMARY

Jonathan Farley’s main areas of research are lattice theory and the theory of ordered sets.  His main results in these areas include the following: the resolution of a conjecture posed by MIT Professor of Applied Mathematics Richard Stanley in 1975; the solution to a problem posed by Richard Stanley that had remained unsolved since 1981; the solution to some problems from Richard Stanley’s classic 1986 text, Enumerative Combinatorics: Volume I; the solution to a problem in “transversal theory” attributed to combinatorialist Richard Rado that had remained unsolved since 1971; the solution to several problems from the 1981 Banff Conference on Ordered Sets and the 1984 Banff Conference on Graphs and Order;  the solution to some problems of lattice theory pioneer George Grätzer from 1964; the solution to some problems of lattice theory pioneer E. T. Schmidt from 1974 and 1979; and the solution to a problem published in 1982 by universal algebra pioneer Bjarni Jónsson and Berkeley professor (now emeritus) Ralph McKenzie

SELECTED PUBLICATIONS

  • Farley, Jonathan David and Ryan Klippenstine. “Distributive lattices of small width, II: a problem from Stanley’s 1986 text Enumerative Combinatorics,” Journal of Combinatorial Theory (A) 116 (2009), 1097-1119. (PDF)

  • Farley, Jonathan David. “Linear extensions of ranked posets, enumerated by descents. A problem of Stanley from the 1981 Banff conference on ordered sets,” Advances in Applied Mathematics 34 (2005), no. 2, 295-312. (PDF)
  • Farley, Jonathan David and Sungsoon Kim. “The automorphism group of the Fibonacci poset: a ‘not too difficult’ problem of Stanley from 1988,” Journal of Algebraic Combinatorics 19 (2004), no. 2, 197-204. (PDF)

  • Farley, Jonathan David. “Quasi-differential posets and cover functions of distributive lattices. II. A problem in Stanley’s Enumerative Combinatorics,” Graphs and Combinatorics 19 (2003), no. 4, 475-491. (PDF)

  • Farley, Jonathan David and Bernd S. W. Schröder. “Strictly order-preserving maps into Z. II. A 1979 problem of Erné,” Order 18 (2001), 381-385. (PDF)

  • Farley, Jonathan David. “Coproducts of bounded distributive lattices: cancellation. A problem from the 1981 Banff Conference on Ordered Sets,” Algebra Universalis 45 (2001), no. 4, 375-381. (PDF)

  • Farley, Jonathan David. “Quasi-differential posets and cover functions of distributive lattices. I. A conjecture of Stanley,” Journal of Combinatorial Theory (Series A) 90 (2000), no. 1, 123-147. (PDF)

  • Farley, Jonathan David. “Functions on distributive lattices with the congruence substitution property: some problems of Grätzer from 1964,” Advances in Mathematics 149 (2000), no. 2, 193-213. (PDF)

  • Farley, Jonathan David. “Priestley powers of lattices and their congruences. A problem of E. T. Schmidt,” Acta Scientiarum Mathematicarum (Szeged) 62 (1996), no. 1-2, 3-45. (PDF)

  • Farley, J. D. “The automorphism group of a function lattice: a problem of Jónsson and McKenzie,” Algebra Universalis 36 (1996), no. 1, 8-45. (PDF)



Math for Counterterrorism

SUMMARY

Jonathan Farley’s work applying mathematics to counterterrorism has been profiled in The Chronicle of Higher Education, in Science News Online, in The Economist Magazine, in USA Today, on Fox News Television, and on Air America Radio.  He is Chief Scientist of Phoenix Mathematics, Inc., a company that develops mathematical solutions to homeland security-related problems.

He has had face-to-face meetings discussing math-for-counterterrorism with the Jamaican Minister of National Security, a former Director of the US National Security Agency and a former Deputy Director of the CIA, the director of Homeland Security for the Port of Los Angeles, a former US ambassador to the European Union, a former governor of the US state of New Mexico, a US Air Force general, two US Navy admirals and a former US Director of National Intelligence.

Dr. Farley was a 2007 Proteus Monograph Series Fellow.  In 2005-2006, he was a Science Fellow at Stanford University’s Center for International Security and CooperationSeed Magazine named him one of “15 people who have shaped the global conversation about science in 2005.” He has co-organized five Conferences on Mathematical Methods in Counterterrorism

 

SELECTED PUBLICATIONS

 

 

Math and Education

The late Senator Edward Kennedy (far left) listens as Dr. Farley speaks
to Virginia middle school children at the MathMovesU.com launch.

SUMMARY

Beginning the first week the hit television show Numb3rs aired, Jonathan Farley, as well as, soon afterwards, the agent for the company he co-founded, Hollywood Math and Science Film Consulting, wrote the staff of Numb3rs, suggesting that they, in conjunction with the National Council of Teachers of Mathematics, create homework assignments that teachers could use focusing on the math and science in the show.   Nine months later, Numb3rs inaugurated the “We All Use Math Every Day” program, with the National Council of Teachers of Mathematics and Texas Instruments.  This program creates homework assignments that teachers can use focusing on the math and science in the show.  Dr. Farley also used his idea with Dr. Tony Harkin for Flatland the Movie, starring Martin Sheen, Michael York, and Kristen Bell.

Jonathan Farley spoke at the launch of Raytheon Corporation’s math education website, MathMovesU.comThe only other speakers were Sarah Greenwald, representing Hollywood Math and Science Film Consulting, the late U.S. Senator Ted Kennedy, the late U.S. Congresswoman Jo Ann Davis, Raytheon Senior Vice President for Strategy Bill Lynn (later U.S. Deputy Secretary of Defense), and Olympic gold medalist Apolo Ohno. Seated next to Dr. Farley was U.S. Congressman Silvestre Reyes.

Dr. Farley is also interested in encouraging girls who wish to do mathematics.  He conceived of and co-organized a symposium on women and mathematics at Stanford University’s Institute for Research on Women and Gender (now the Clayman Institute ), called “Proof and Prejudice.” 

Television actress Danica McKellar asked Dr. Farley to provide a quote for her best-selling math book for middle school-aged girls, Math Doesn’t Suck. In her 2010 best-seller, Hot X: Algebra Exposed, she writes about “the incomparable, brilliant Jonathan Farley.”

Jonathan Farley has also worked with the National Action Council for Minorities in Engineering and the Algebra Project.  Jonathan Farley co-founded the consulting group Axum Educational Solutions  

SELECTED PUBLICATIONS

mathematics

Jonathan Farley
Updated by John Poulin