Assistant Professor
Saint Louis University
Department of Mathematics and Computer Science
Ritter Hall 129
220 N. Grand Blvd.
St. Louis, Missouri
63103
USA
Phone:
(314) 9772494
Fax: (314) 9771452
Email: jgill5 at slu dot edu
Preprints:

"Discrete Approximations of Metric Measure Spaces of Controlled Geometry ", (with M. Lopez) arXiv:1408.2132. Link

"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

"A note on quasiconformal maps with Holdercontinuous dilatation", (with S. Rohde) arXiv:1302.3899. To appear in J. Math. Pures Appl. Link

"Doubling metric spaces are characterized by a lemma of Benjamini and Scharmm", arXiv:1211.0216. To appear in Proc. Amer. Math. Soc. Link
Slides:

" Geometric analysis on Cantor sets and trees" Link

"On the Riemann surface type of Random Planar Maps" Link, Pictures Only

"Some sufficient conditions for obtaining biLipschitz quasiconformal maps" Link
Video:
Publications:

"Quasisymmetry and rectifiability of quasispheres", (with M. Badger, S. Rohde, and T. Toro), Tran. Amer. Math. Soc. 366, 14131431, 2014. Link
ArXiv Preprint

"On the Riemann surface type of random planar maps", (with S. Rohde), Rev. Math. Iber. 29, 10711090, 2013. Link
ArXiv Preprint

" Planar Maps of Subexponential Distortion", Ann. Acad. Sci. Fenn., Ser. A. I. Math. 35, 197207, 2010. Link

" On the BeurlingAhlfors Transform's Weaktype Constant ", Mich. Math. J. 59, 353363, 2010. Link

" Integrability of Derivatives of Inverses of Maps of Exponentially Integrable Distortion in the Plane ", J. Math. Anal. Appl., 352
762766, 2009. Link

" Optimal Regularity for Planar Mappings of Finite Distortion ", with K. Astala, S. Rohde, and E. Saksman, Ann. Inst. H. Poincare. Anal. Non Linaire 27, 119, 2010. Link or Link
Teaching:
 Fall 2014, Math 142, Calculus I
 Fall 2014, Math 521, Real Analysis I
 Spring 2014, Math 142, Calculus I
 Spring 2014, Math 451, Complex Variables II
 Fall 2013, Math 142, Calculus I
 Fall 2013, Math 451, Introduction to Complex Variables
 Spring 2013, Math 452, Complex Variables II
 Fall 2012, Math 451, Introduction to Complex Variables
 Winter 2012, Math 308C Introduction to Matrix Algebra with Applications (University of Washington)
 Fall 2011 and Winter 2012, Math 5345 Complex Analysis (University of Washington)
 Winter 2010, Math 308C and F Introduction to Matrix Algebra with Applications (University of Washington)
 Autumn 2009, Math 327A Introduction to Real Analysis I (University of Washington)
Other