Program of the Sessions Baltimore, Maryland, January 16–19, 2019 Monday, January 14 Tuesday, January 15 AMS Short Course on Sum of Squares: AMS Department Chairs Workshop Theory and Applications, Part I 8:00 AM –6:30PM Grand Ballroom ABC, 8:15 AM –5:30PM Holiday Ballroom 1-3, 1st Floor, Marriott Inner Harbor 2nd Floor, Hilton Organizers: Malcolm Adams,University Organizers: Pablo A Parrilo, of Georgia Massachusetts Institute of Gloria Mari-Beffa,University Technology of Wisconsin-Madison Rekha R Thomas,University of Washington Douglas Mupasiri, University of Northern Iowa 8:15AM Introduction Jennifer Zhao,Universityof 8:30AM Overview of SOS polynomials. Michigan-Dearborn (1) Grigoriy Blekherman, Georgia Institute of Technology AMS Short Course on Sum of Squares: 10:10AM Break Theory and Applications, Part II 10:40AM The geometry of spectrahedra. (2) Cynthia Vinzant, North Carolina State 8:30 AM –5:30PM Holiday Ballroom 1-3, University 2nd Floor, Hilton 12:20PM Lunch Organizers: Pablo A Parrilo, 2:00PM Engineering applications of SOS Massachusetts Institute of (3) polynomials. Technology Georgina Hall,INSEAD Rekha R Thomas,University 3:40PM Break of Washington 4:10PM Problem session 8:30AM Algebraic geometry through the lens of AMS Short Course Reception (4) sums of squares. Mauricio Velasco, Universidad de los 5:00 PM –6:00PM Holiday Ballroom 1-3, Andes 2nd Floor, Hilton 10:10AM Break The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 40, Issue 1 of Abstracts is ten minutes. The time limit for each MAA contributed of papers presented to the American Mathematical Society, paper varies. In the Special Sessions the time limit varies ordered according to the numbers in parentheses following from session to session and within sessions. To maintain the the listings. The middle two digits, e.g., 897-20-1136, refer to schedule, time limits will be strictly enforced. the Mathematical Reviews subject classification assigned by Forpaperswithmorethanoneauthor,an asterisk follows the individual author. Groups of papers for each subject are the name of the author who plans to present the paper at the listed chronologically in the Abstracts. The last one to four meeting. digits, e.g., 897-20-1136, refer to the receipt number of the Papers flagged with a solid triangle () have been desig- abstract; abstracts are further sorted by the receipt number nated by the author as being of possible interest to under- within each classification. MAA abstracts are listed toward graduate students. the back of the issue sorted by session name. Abstracts of papers presented in the sessions at this 57 Program of the Sessions – Tuesday, January 15 (cont’d.) 10:40AM Connections to theoretical computer 9:00AM Optimal bounds for single-source (5) science. (9) Kolmogorov extractors. Ankur Moitra,MIT Laurent Bienvenu,Universityof 12:20PM Lunch Montpellier, Barbara F Csima*, University of Waterloo, and Matthew 2:00PM Lifts of convex sets. Harrison-Trainor, Victoria University of (6) Hamza Fawzi, University of Cambridge Wellington (1145-03-1676) (1145-90-2300) 9:30AM Short Paths in the Sierpinski´ Carpet and 3:40PM Break (10) Menger Sponge. 4:10PM Problem session Derek Smith*andEthan Berkove, Lafayette College (1145-51-1997) AMS Council 10:00AM Normal numbers with digit dependencies. (11) Veronica´ Becher,Universidadde 1:30 PM – 10:00 PM Holiday Ballroom 4-6, Buenos Aires & CONICET, Argentina 2nd Floor, Hilton (1145-41-1693) 10:30AM Weak Computabilities of Real Numbers Joint Meetings Registration (12) and Relative Randomness. Xizhong Zheng, Department of 3:00 PM –7:00PM Pratt Street Lobby, Computer Science and Mathematics, 300 Level, BCC Arcadia University (1145-03-1700) Advanced registration will remain open until 7:30 pm. AMS Special Session on 25 years of Conferences for African-American Email Center Researchers in the Mathematical Sciences (CAARMS times 25), I 3:00 PM –7:30PM Pratt Street Lobby, 300 Level, BCC 8:00 AM –10:50AM Room 314, BCC Organizer: William A. Massey, Princeton University 9:00AM The Falconer Distance Set Problem. (13) Xiumin Du, Institute for Advanced Study, Larry Guth, Massachusetts Institute Wednesday, January 16 of Technology, Yumeng Ou,The City University of New York, Baruch Joint Meetings Registration College, Hong Wang, Massachusetts Institute of Technology, Bobby Wilson*, 7:00 AM –6:00PM Pratt Street Lobby, University of Washington, and Ruixiang 300 Level, BCC Zhang, Institute for Advanced Study (1145-42-2034) Email Center 9:30AM Queueing Theory in the Age of (14) Technology. 7:00 AM – 11:00 PM Pratt Street Jamol Pender, Cornell University Lobby, 300 Level, BCC (Operations Research and Information Engineering) (1145-90-2235) MAA Minority Chairs Meeting 10:00AM Algorithms for Computing Tau (15) Signatures. 7:00 AM –8:45AM Peale, 1st Floor, Hilton Alfred G Noel*, Steven Glenn Jackson, Todor Milev and Thomas AMS-ASL Special Session on Algorithmic Folz-Donahue,Universityof Dimensions and Fractal Geometry, I Massachusetts Boston (1145-22-675) 10:30AM Numerical and Analytic Study of 8:00 AM –10:50AM Room 343, BCC (16) Dynamic Materials. Organizers: Jack H. Lutz, Iowa State Suzanne L. Weekes, Worcester University Polytechnic Institute (1145-65-2348) Elvira Mayordomo, AMS Special Session on A Showcase of University of Zaragoza, Number Theory at Undergraduate Spain Institutions, I 8:00AM The effective dimension of points on lines. (7) Don Stull, Inria Nancy Grand Est 8:00 AM –10:50AM Room 325, BCC (1145-68-1878) 8:30AM Algorithmic Dimensions of Projected Organizers: Adriana Salerno,Bates (8) Points. College Neil Lutz, University of Pennsylvania Lola Thompson, Oberlin (1145-03-2599) College 58 Wednesday, January 16 – Program of the Sessions 8:00AM Rank and Bias in Families of Curves via 9:30AM Defect formation probability in stochastic (17) Nagao’s Conjecture. Preliminary report. (26) models of Ising type. Steven J Miller, Williams College Nathan Hayford*andRazvan (1145-11-1207) Teodorescu, University of South Florida (1145-60-2451) 8:30AM On a Frobenius problem for integral (18) domains. Preliminary report. 10:00AM Boundary value problems for a fractional Ricardo Conceic¸˜ao*, Gettysburg College, (27) differential inclusion with a Hadamard and Rodrigo Gondim,UFPE-Brazil type derivative. (1145-11-2892) John R Graef, University of Tennessee at Chattanooga (1145-34-1064) 9:00AM Factoring m2 +1. Preliminary report. (19) Marc Chamberland*andEugene 10:30AM On Two Fractional q-Derivative Herman, Grinnell College (1145-11-797) (28) Inclusions. Preliminary report. S. Melike Aydogan, Istanbul Technical 9:30AM Almost Prime Components in Apollonian University (1145-49-80) (20) Circle Packings. Preliminary report. Holley Friedlander*, Dickinson College, AMS Special Session on Commutative Ring Elena Fuchs, University of California, Theory: Research for Undergraduate and Davis, Piper H, University of Hawaii at Early Graduate Students, I Manoa, Catherine Hsu,Universityof Bristol, Katherine Sanden,Universityof 8:00 AM –10:50AM Room 320, BCC California, Davis, Damaris Schindler, Utretch University, and Katherine Organizers: Nicholas Baeth, Franklin Stange, University of Colorado, Boulder and Marshall College (1145-11-2633) Branden Stone, Hamilton 10:00AM Non-abelian generalizations of the College (21) Cohen-Lenstra heuristics. 8:00AM Depths of Powers of Ideals and the Power Michael R. Bush*, Washington and Lee (29) of Depth of Understanding Algebra. University, Nigel Boston,Universityof Susan Morey, Texas State University Wisconsin, Madison, and Farshid Hajir, (1145-13-1004) University of Massachusetts, Amherst (1145-11-2189) 8:30AM Algebraic Invariants and Symbolic (30) Powers of Edge Ideals. 10:30AM Quadratic relations between Feynman Joseph W Skelton, Tulane University (22) integrals. (1145-13-1759) David P. Roberts,Universityof 9:00AM The index of stability: a project for Minnesota Morris (1145-11-633) (31) undergraduate students. Janet Striuli*, National Science AMS Special Session on Analysis of Foundation, Corey Brooke,Universityof Fractional, Stochastic, and Hybrid Dynamic Oregon, Molly Hoch, Wellesley College, Systems with Applications, I Sabrina Lato, University of Waterloo, and Bryan Wang, University of California 8:00 AM –10:50AM Room 328, BCC Berkeley (1145-13-1670) 9:30AM Associated Primes of h-Wheels and Other Organizers: John R. Graef,Universityof (32) Graphs. Tennessee at Chattanooga Corey Brooke, University of Oregon G. S. Ladde,Universityof (1145-13-1622) South Florida 10:00AM Trace Ideals and the Gorenstein Property. (33) *and , Williams College A. S. Vatsala,Universityof H. Lindo NPande Louisiana at Lafayette (1145-13-1849) 10:30AM Graphs and Commutative Rings. 8:00AM Existence of local solutions for a (34) Joe A. Stickles, Jr., Millikin University, (23) fractional difference equation with Decatur, IL (1145-13-1060) Dirichlet boundary conditions. Johnny Henderson, Baylor University AMS Special Session on Financial (1145-39-65) Mathematics, I 8:30AM Coercive Nonlocal Elements in Fractional (24) Differential Equations. 8:00 AM –10:50AM Room 338, BCC Christopher S. Goodrich,Creighton Preparatory School (1145-34-2141) Organizers: Maxim Bichuch, Johns Hopkins University 9:00AM Nonlinear Caputo Impulsive Fractional (25) Differential Equations and Generalized Anja Richter,Baruch Monotone Method. Preliminary report. College, City University of Yunxiang Bai*andAghalaya S Vatsala, New York University of Louisiana at Lafayette Stephan Sturm, Worcester (1145-34-743) Polytechnic Institute 59 Program