Assistant Professor
Saint Louis University
Department of Mathematics and Computer Science
Ritter Hall 307
220 N. Grand Blvd.
St. Louis, Missouri
63103
USA
Phone:
(314) 977-2494
Fax: (314) 977-1452
E-mail: jim dot gill at slu dot edu
Preprints:
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"Discrete Approximations of Metric Measure Spaces of Controlled Geometry ", (with M. Lopez) arXiv:1408.2132. To appear in J. Math. Anal. Appl. Link
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"Geometric analysis on Cantor sets and trees", (with A. Björn, J. Björn, and N. Shanmugalingam) arXiv:1304.0566. To appear in J. Reine Angew. Math. (Crelle's Journal) Link
Slides:
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" Geometric analysis on Cantor sets and trees" Link
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"On the Riemann surface type of Random Planar Maps" Link, Pictures Only
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"Some sufficient conditions for obtaining bi-Lipschitz quasiconformal maps" Link
Video:
Publications:
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"A note on quasiconformal maps with Holder-continuous dilatation", (with S. Rhode) arXiv:1302.3899. J. Math. Pures Appl. 103 (1), 291-302 Link
ArXiv Preprint
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"Doubling metric spaces are characterized by a lemma of Benjamini and Scharmm", arXiv:1211.0216. Proc. Amer. Math. Soc. 142 (2014), 4291-4295 Link
ArXiv Preprint
- "Quasisymmetry and rectifiability of quasispheres", (with M. Badger, S. Rohde, and T. Toro), Tran. Amer. Math. Soc. 366, 1413-1431, 2014. Link
ArXiv Preprint
- "On the Riemann surface type of random planar maps", (with S. Rohde), Rev. Math. Iber. 29, 1071-1090, 2013. Link
ArXiv Preprint
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" Planar Maps of Subexponential Distortion", Ann. Acad. Sci. Fenn., Ser. A. I. Math. 35, 197-207, 2010. Link
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" On the Beurling-Ahlfors Transform's Weak-type Constant ", Mich. Math. J. 59, 353-363, 2010. Link
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" Integrability of Derivatives of Inverses of Maps of Exponentially Integrable Distortion in the Plane ", J. Math. Anal. Appl., 352,
762-766, 2009. Link
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" Optimal Regularity for Planar Mappings of Finite Distortion ", (K. Astala, S. Rohde, and E. Saksman) , Ann. Inst. H. Poincare. Anal. Non Linaire 27, 1-19, 2010. Link or Link