EMSW21-RTG: Graduate Education in Geometry and Topology at the University of Chicago

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AbstractAward: DMS-0354270Principal Investigator: Kevin D. CorletteThis project will support activities of the geometry/topologygroup at the University of Chicago which have an impact on thetraining of graduate students. This group currently consists ofsix senior faculty, thirteen junior faculty and about thirtygraduate students. The research interests of members of thegroup span a wide array of topics in geometry and topology,including complex differential geometry, rigidity and locallysymmetric spaces, connections of ergodic theory with discretegroups and number theory, geometric group theory, 3-manifoldtopology, Teichmuller theory, geometric topology ofhigh-dimensional manifolds, the moduli space of Riemannianmetrics, complex dynamics, symplectic topology and homotopytheory. The activities of the group include active researchseminars in geometry/topology and algebraic topology, severalstudent seminars and a visitors program, all of which aredirectly relevant to the education of graduate students. Theseactivities, in combination with the general structure of thegraduate program in the department, provide ideal conditions forstudents to gain exposure to a broad range of current researchwhile pursuing their own specific research projects.Geometry and topology are fundamental parts of mathematics whichare currently experiencing rapid development, with many new ideasand lines of investigation being pursued. Many of thesedevelopments are internal to the subject, while others arise, atleast in part, from contact with fields such as physics andcomputer science. It is particularly exciting to be a student ina field undergoing this kind of change, but it is at the sametime a challenge to orient oneself when the landscape is rapidlychanging. This project will enhance the ability of doctoralstudents at the University of Chicago to learn about and doresearch in these areas, thus helping to train the nextgeneration of researchers in geometry and topology. In additionto providing direct support for graduate students as they doresearch, the project will also provide support for graduatestudents to travel to conferences and the bring visitors to theUniversity for seminar talks and collaboration. All of this isintended to expose graduate students to the frontlines ofresearch as effectively as possible.