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| Nageswari Shanmugalingam Associate Professor, Mathematical Sciences Ph.D, University of Michigan at Ann Arbor, 1999 B.Sc., University of Rochester, NY, 1994 Address: 814 Old Chemistry PO Box 210025 Cincinnati, Ohio 45221-0025 phone: 513-556-4062 fax: 513-556-3417 nages@math.uc.edu http://math.uc.edu/~nages |
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Biography: I received my Bachelors degree from the University of Rochester in 1994 and my doctoral degree from the University of Michigan in 1999, under the supervision of Professor Juha Heinonen. |
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Research Areas: My research area is geometric function theory. I am interested in the connection between inequalities in analysis and their geometric implications, and also in quasiconformal maps and the geometric properties of metric measure spaces conserved by them. Just as a geometer cannot distinguish between the flat torus and a torus with non-zero curvature without the aid of a metric on the torus, neither can a metric space analyst distinguish different geometries on the same metric measure space without corresponding differential operators. Such different operators can be constructed for certain metric measure spaces; this is a result due to Cheeger. I am also interested in studying the different geometries on a metric measure space given by different Cheeger differential structures. < back > |
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