Jim Propp

James Gary "Jim" Propp is a professor of mathematics at the University of Massachusetts Lowell.

In high school, Propp was one of the national winners of the United States of America Mathematical Olympiad (USAMO), and an alumnus of the Hampshire College Summer Studies in Mathematics.[1] Propp obtained his A.B. in mathematics in 1982 at Harvard. After advanced study at Cambridge, he obtained his Ph.D. from the University of California at Berkeley. He has held professorships at seven universities, including Harvard, MIT, and the University of Wisconsin.

Propp is the co-editor of the book Microsurveys in Discrete Probability (1998) and has written more than thirty journal articles on game theory, combinatorics and probability, and recreational mathematics. He lectures extensively and has served on the Mathematical Olympiad Committee of the Mathematical Association of America, which sponsors the USAMO. In the early 90s Propp lived in Boston and later in Arlington, Massachusetts.[2][3]

In 1996, Propp and David Wilson invented coupling from the past, a method for sampling from the stationary distribution of a Markov chain among Markov chain Monte Carlo (MCMC) algorithms. Contrary to many MCMC algorithms, coupling from the past gives in principle a perfect sample from the stationary distribution.[4][5] His papers have discussed the use of surcomplex numbers in game theory;[6] the solution to the counting of alternating sign matrices;[7] and occurrences of Grandi's series as an Euler characteristic of infinite-dimensional real projective space.[8][9]

Propp is a member of the National Puzzlers' League under the nom Aesop.[3] He was recruited for the organization by colleague Henri Picciotto,[2] cruciverbalist and co-author of the league's first cryptic crossword collection.[10] Propp is the creator of the "Self-Referential Aptitude Test", a humorous multiple-choice test in which all questions except the last make self-references to their own answers. It was created in the early 90s for a puzzlers' party.[11]

Propp is the author of Tuscanini, a 1992 children's book about a musical elephant, illustrated by Ellen Weiss.[12]

He is married to research psychologist Alexandra (Sandi) Gubin. They have a son Adam and a daughter Eliana.[13]

Notes

  1. ^ "HCSSiM home page, Information about, by, and for HCSSiM alumns". Archived from the original on 2008-05-09. http://web.archive.org/web/20080509160911/http://hcssim.org/alumns.php. Retrieved 2008-05-03. 
  2. ^ a b Bagai, Judith E., ed. (November 1990). "New Members, Returning Member, Moving Members". The Enigma (National Puzzlers' League) 108 (1040): 1. 
  3. ^ a b Bagai, Judith E., ed. (May 1993). "Welcome, New and Returning Members!". The Enigma (National Puzzlers' League) 111 (1070): 2. 
  4. ^ Propp, James Gary, and Wilson, David Bruce (1996). "Exact sampling with coupled Markov chains and applications to statistical mechanics". Random Structures & Algorithms (Atlanta, Georgia: Proceedings of the Seventh International Conference on Random Structures and Algorithms) 9 (1): 223–252. doi:10.1002/(SICI)1098-2418(199608/09)9:1/2<223::AID-RSA14>3.0.CO;2-O. MR1611693. 
  5. ^ Propp, James, and Wilson, David (1998). "Coupling from the past: a user's guide". Microsurveys in discrete probability (Princeton, NJ, 1997). DIMACS Ser. Discrete Math. Theoret. Comput. Sci.. 41. Providence, Rhode Island: American Mathematical Society. pp. 181–192. MR1630414. 
  6. ^ Propp, James (1994-08-22). "Surreal vectors and the game of Cutblock". http://jamespropp.org/surreal/text.ps.gz. 
  7. ^ Bressoud, David M., and Propp, James (1999). "How the alternating sign matrix conjecture was solved" (PDF). Notices of the American Mathematical Society 46: 637–646. http://www.ams.org/notices/199906/fea-bressoud.pdf. 
  8. ^ Propp, James (2002). "Euler measure as generalized cardinality". arXiv:math.CO/0203289 [math.CO]. 
  9. ^ Propp, James (October 2003). "Exponentiation and Euler measure". Algebra Universalis 29 (4): 459–471. arXiv:math.CO/0204009. doi:10.1007/s00012-003-1817-1. 
  10. ^ Kosman, Joshua, and Picciotto, Henri (2005-11-08). National Puzzlers' League Cryptic Crosswords. Random House. http://www.randomhouse.com/catalog/display.pperl?isbn=9780812936605. Retrieved 2008-08-22. 
  11. ^ Propp, Jim. "Self-Referential Aptitude Test". http://faculty.uml.edu/jpropp/srat-Q. 
  12. ^ Open Library page for Tuscanini
  13. ^ Propp's page at UMass Lowell

External links