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We motivate the definition of Bailey pairs and Bailey's lemma with the celebrated Rogers-Ramanujan identities. Upon reviewing the history of Bailey pairs and Bailey's Lemma, we briefly discuss their use in rank and crank functions for integers partition type function. This later use was the the focus of several articles of the author, some of which are joint work with Frank Garvan.
This talk will be a survey of problems and results about the volume of certain geometrically interesting subsets of Euclidean space. For example, we will describe Gromov’s waist inequality for spheres, and Gromov's conjectured waist inequality for cubes. The waist inequality for cubes would be a deep non-linear generalization of the cube slicing inequality proved by the speaker in 1978. Another interesting problem is the volume of the set of points in Euclidean space which are the coefficients of a polynomial with Mahler measure bounded by 1.
The OSU Department of Mathematics will host the Annual Meeting of the Pacific Northwest Section of the MAA to be held on April 1-2, 2016. The eighth annual Northwest Undergraduate Mathematics Symposium (NUMS) will be embedded within the larger annual meeting.
The purpose of the Pacific Northwest Section is to advance collegiate-level mathematics on a regional level as well as to provide professional development and networking activities for section members and mathematics students. Much of the section’s activities center around the annual meeting, including Project NExT (New...
The Center for Computing Research (CCR) at Sandia National Laboratories seeks multiple students to participate in collaborative research across a wide range of areas in computer science, applied mathematics, discrete mathematics, mathematical modeling, computational science and engineering, computational neuroscience and cognitive science (including cognitive and experimental psychology, neuroscience, and linguistics). To access the posting, go to http://www.sandia.gov, click on “Careers” then click on “View All Jobs” and search for the job opening number - 651287 for graduate students and 651289 for undergraduates. Applications should include a CV and a...