Program of the Sessions Boston, Massachusetts, January 4–7, 2012 AMS Short Course on Random Fields and Monday, January 2 Random Geometry, Part I 8:00 AM –5:00PM Back Bay Ballroom A, 2nd Floor, Sheraton Organizers: Robert Adler, Technion - Israel Institute of Technology AMS Short Course on Computing with Elliptic Jonathan Taylor,Stanford Curves Using Sage, Part I University 8:00AM Registration, Back Bay Ballroom D, 8:00 AM –5:00PM Back Bay Ballroom Sheraton. B, 2nd Floor, Sheraton 9:00AM Gaussian fields and Kac-Rice formulae. (3) Robert Adler, Technion Organizer: William Stein,Universityof 10:15AM Break. Washington 10:45AM The Gaussian kinematic fomula. 8:00AM Registration, Back Bay Ballroom D, (4) Jonathan Taylor, Stanford University Sheraton. 2:00PM Gaussian models in fMRI image analysis. 9:00AM Introduction to Python and Sage. (5) Jonathan Taylor, Stanford University (1) Kiran Kedlaya, University of California 3:15PM Break. San Diego 3:45PM Tutorial session. 10:30AM Break. 11:00AM Question and Answer Session: How do I MAA Short Course on Discrete and do XXX in Sage? Computational Geometry, Part I 2:00PM Computing with elliptic curves over finite (2) fields using Sage. 8:00 AM –5:00PM Back Bay Ballroom Ken Ribet, University of California, C, 2nd Floor, Sheraton Berkeley Organizers: Satyan L. Devadoss, 3:30PM Break. Williams College 4:00PM Problem Session: Try to solve a problem Joseph O’Rourke,Smith yourself using Sage. College The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 33, Issue 1 of Abstracts is ten minutes. The time limit for each MAA Invited Paper of papers presented to the American Mathematical Society, or contributed paper varies. In the AMS Special Sessions the ordered according to the numbers in parentheses following time limit varies from session to session and within sessions. the listings. The middle two digits, e.g., 897-20-1136, refer To maintain the schedule, time limits will be strictly enforced. to the Mathematical Reviews subject classification assigned Forpaperswithmorethanoneauthor,an asterisk follows by the individual author. Groups of papers for each subject the name of the author who plans to present the paper at the are listed in receipt order in the Abstracts. The last one to meeting. four digits, e.g., 897-20-1136, refer to the receipt number of Papers flagged with a solid triangle () have been desig- the abstract. MAA abstracts are listed toward the back of the nated by the author as being of possible interest to under- issue sorted by session name, and by receipt order within the graduate students. session name. Abstracts of papers presented in the sessions at this 45 Program of the Sessions – Boston, MA, Monday, January 2 (cont’d.) 8:00AM Registration, Back Bay Ballroom D, AMS Short Course on Computing with Elliptic Sheraton. Curves Using Sage, Part II 9:00AM Polygons: Building blocks of discrete and (6) computational geometry. 9:00 AM –5:00PM Back Bay Ballroom Satyan Devadoss*, Williams College, and B, 2nd Floor, Sheraton Joseph O’Rourke*, Smith College Organizer: William Stein,Universityof 10:15AM Break. Washington 10:45AM Triangulations: Flip graphs and Delaunay 9:00AM Computing with elliptic curves over the (7) triangulations. (10) rational numbers using Sage. Satyan Devadoss, Williams College Jared Weinstein,BostonUniversity 2:00PM Convex hulls: Computing in 2D and 3D. 10:30AM Break. (8) Joseph O’Rourke, Smith College 11:00AM Computing with the Birch and 2:15PM Break. (11) Swinnerton-Dyer conjecture using Sage. 3:45PM Voronoi diagrams: Geometry, duality, William Stein, University of Washington (9) and hulls revisited. 2:00PM Computing with elliptic surfaces. Joseph O’Rourke, Smith College (12) Noam Elkies,HarvardUniversity 3:30PM Break. 4:00PM Question and Answer Session: How do I do XXX in Sage? AMS Short Course on Random Fields and Tuesday, January 3 Random Geometry, Part II 9:00 AM –5:00PM Back Bay Ballroom AMS Department Chairs Workshop A, 2nd Floor, Sheraton Organizers: Robert Adler, Technion - 8:00 AM –6:30PM Commonwealth, Israel Institute of 3rd Floor, Sheraton Technology Presenters: Timothy Hodges,University Jonathan Taylor,Stanford of Cincinnati University John Meakin,Universityof 9:00AM Random fields in Physics. Nebraska-Lincoln (13) Mark Dennis, University of Bristol Helen Roberts, Montclair 10:15AM Break. State University 10:45AM Random matrices and Gaussian analytic Alex Smith,Universityof (14) functions. Wisconsin-Eau Claire Balint Virag, University of Toronto 2:00PM Random metrics. (15) Dmitry Jakobson, McGill University 3:15PM Break. MAA Ancillary Workshop on Statistics: Identifying and Addressing Difficult 3:45PM Discussion groups. Concepts for Students in the Introductory MAA Short Course on Discrete and Statistics Course Computational Geometry, Part II 8:30 AM –4:30PM Gardner, 3rd Floor, Sheraton 9:00 AM –5:00PM Back Bay Ballroom Presenter: Marjorie Bond,Monmouth C, 2nd Floor, Sheraton University Organizers: Satyan L. Devadoss, Williams College Joseph O’Rourke,Smith MAA Ancillary Workshop on Statistics: College Facilitating Student Projects in Elementary 9:00AM Polyhedra from Euler to Gauss to Statistics (16) Cauchy, I: Rigidity. Satyan Devadoss, Williams College 8:30 AM –4:30PM Berkeley, 3rd Floor, Sheraton 10:15AM Break. Presenters: Brad Bailey, North Georgia 10:45AM Polyhedra from Euler to Gauss to College & State University (17) Cauchy, II: Unfolding. Sherry L. Hix, North Georgia Joseph O’Rourke, Smith College College & State University 2:00PM Configuration spaces: Locked polygonal Dianna Spence,North (18) chains and particle collisions. Georgia College & State Satyan Devadoss, Williams College University 2:15PM Break. 46 Boston, MA, Wednesday, January 4 – Program of the Sessions 3:45PM Pedagogy and research. 8:00AM Mathematical Schemes in Babylonian (19) Satyan Devadoss*, Williams College, and (20) Astral Medicine. Joseph O’Rourke*, Smith College John Steele,BrownUniversity (1077-01-455) MAA Ancillary Workshop on Statistics: 8:30AM Proportion Theory in Medieval Teaching Modeling-Based Calculus (21) Astronomical Works. Henry T. Zepeda, Dept. of the History of 9:00 AM –4:30PM Hampton, 3rd Floor, Sheraton Science, University of Oklahoma (1077-01-2662) Presenters: Daniel Kaplan, Macalester 9:00AM On Finding Times of True Syzygy in College (22) the Fifteenth Century: Melchion de Daniel Flath, Macalester Friquento’s Eclipse Tables of 1437. College Preliminary report. Randall Pruim,Calvin Richard L. Kremer, Dartmouth College College (1077-01-556) Eric Marland, Appalachian 9:30AM The Evolution of Geometry in ancient University (23) China, from the newly discovered Shu and Suan shu shu bamboo texts to the WeBWork Consulting Training Session Nine Chapters. Preliminary report. Joseph W. Dauben,HerbertH.Lehman 9:00 AM –5:00PM Simmons, 3rd Floor, Marriott College, The CIty University of New York (1077-01-501) Organizer: Michael Gage,Universityof 10:00AM Who reads mathematics? A case study Rochester (24) from Mesopotamia. Duncan J. Melville,St.Lawrence MAA Board of Governors University (1077-01-1669) 10:30AM Euclid’s Elements in Spanish, during the 9:00 AM –5:00PM Salon E, 4th Floor, Marriott (25) XVII century. Preliminary report. Alejandro R. Garciadiego, Universidad AMS Council Nacional Autonoma de Mexico (1077-01-82) 1:30 PM – 10:00 PM Salon F, 4th Floor, Marriott Joint Meetings Registration AMS-ASL Special Session on the Life and Legacy of Alan Turing, I 3:00 PM –8:00PM 2nd Floor Corridor, opposite Hall C, Hynes 8:00 AM –10:40AM Room 207, Hynes New registrations will be accepted until Organizers: Damir Dzhafarov, 7:00 p.m. Those who registered in University of Chicago and advance may pick up materials until 8:00 University of Notre Dame p.m. Jeff Hirst, Appalachian State University Carl Mummert, Marshall University Wednesday, January 4 8:00AM Algorithmic Randomness and (26) Pathological Computable Measures. Joint Meetings Registration Preliminary report. Christopher P Porter,Universityof 7:30 AM –6:00PM 2nd Floor Corridor, Notre Dame (1077-03-2392) opposite Hall C, Hynes 8:30AM Computing the strength of some (27) combinatorial theorems. Preliminary AMS-MAA Special Session on the History of report. Mathematics, I Stephen Flood, University of Notre Dame (1077-03-1998) 8:00 AM –10:50AM Back Bay Ballroom 9:00AM Lown Boolean Subalgebras. Preliminary A, 2nd Floor, Sheraton (28) report. Rebecca M. Steiner,Graduate Organizers: Sloan Despeaux,Western Center, City University of New York Carolina University (1077-03-476) Craig Fraser,Universityof 9:30AM Vegetative Turing Pattern Formation: A Toronto (29) Historical Perspective. Deborah Kent, Hillsdale Bonni J Kealy*andDavid J Wollkind, College Washington State University (1077-92-84) 47 Program of the Sessions – Boston, MA, Wednesday, January 4 (cont’d.) 10:00AM Answering Descartes: Beyond Turing. 8:00AM Infinite rank of elliptic curves over the (30) Stuart A Kauffman,Universityof (37) maximal abelian extension of Q. Vermont (1077-68-384) Bo-Hae Im*, Chung-Ang University, Seoul, Korea, and Michael Larsen, Indiana University (1077-11-1759) AMS Special Session on Advances in Coding 8:30AM Arithmetic Progressions in the Theory, I (38) x-coordinates on Mordell Curves. Alejandra Alvarado*andEdray Herbert 8:00 AM –10:50AM Dartmouth, Goins, Purdue University (1077-11-1757) 3rd Floor, Marriott 9:00AM Rational linear spaces on hypersurfaces Organizers: Sarah Spence Adams, Olin (39) over quasi-algebraically closed fields. College of Engineering Todd Cochrane, Craig V. Spencer, Kansas State University, and Hee-Sung Gretchen L. Matthews, Yang*, Dartmouth College (1077-11-376) Clemson University 9:30AM Mordell-Weil groups via Artin-Schreier Judy L. Walker,Universityof Nebraska-Lincoln (40) extensions. Rachel Pries*, Colorado State University, 8:00AM Symmetric Group Testing. and Douglas Ulmer, Georgia Institute for (31) Amin Emad*, Jun Shen and Olgica Technology (1077-11-1829) Milenkovic, University of Illinois at Urbana-Champaign (1077-94-1403) 10:00AM A variety with many points over a finite (41) field. 8:30AM On Sums of Locally Testable Affine Jared S Weinstein,BostonUniversity (32) Invariant Properties.