Gareth SpeightGareth.Speight <at> uc.edu General Information:- I am assistant professor in the Department of Mathematical Sciences at the University of Cincinnati in the United States. My office is 5412 French Hall and you can find my university profile here.
- I enjoy mathematical analysis that has a geometric flavour. I am particularly interested in real analysis, geometric measure theory, analysis on metric spaces, metric geometry and sub-Riemannian geometry. Do send me an email if we have common interests.
- From January 2016 I am co-organizer of the UC Analysis and PDE seminar. If you are interested in giving a talk please contact me.
- Between September 2013 and May 2015 I was a postdoctoral researcher in the ERC project Geometric Measure Theory in non-Euclidean Spaces at the Scuola Normale Superiore di Pisa in Italy. My advisor was Luigi Ambrosio.
- I obtained my PhD in June 2013 from the Mathematics Institute at the University of Warwick in the United Kingdom. My supervisor was David Preiss.
Papers and Preprints:- Structure of Porous Sets in Carnot Groups (with A. Pinamonti; arXiv).
- Porosity, Differentiability and Pansu's Theorem (with A. Pinamonti; published online in Journal of Geometric Analysis; to appear in print; arXiv).
- Lusin Approximation for Horizontal Curves in Step 2 Carnot Groups (with E. Le Donne; Calculus of Variations and Partial Differential Equations, 55(5) (2016), 1-22; arXiv).
- A Measure Zero Universal Differentiability Set in the Heisenberg Group (with A. Pinamonti; published online in Mathematische Annalen, to appear in print; arXiv).
- Lusin Approximation and Horizontal Curves in Carnot Groups (Revista Matematica Iberoamericana 32 (4) (2016), 1425-1446; arXiv).
- Tensorization of Cheeger Energies, the Space H^{1,1} and the Area Formula for Graphs (with L. Ambrosio and A. Pinamonti; Advances in Mathematics 281 (2015), 1145-1177; arXiv).
- Weighted Sobolev Spaces on Metric Measure Spaces (with L. Ambrosio and A. Pinamonti; published online in Crelle's Journal, to appear in print, arXiv).
- The p-Weak Gradient Depends on p (with S. Di Marino; Proceedings of the American Mathematical Society 143 (2015), 5239-5252; arXiv).
- Differentiability of Lipschitz Functions in Lebesgue Null Sets (with D. Preiss; Inventiones Mathematicae 199 (2) (2015), 517-559; arXiv).
- Directional Lower Porosity (Real Analysis Exchange 39 (1) (2013), 45-56; arXiv).
- Surfaces Meeting Porous Sets in Positive Measure (Israel Journal of Mathematics 196 (1) (2013), 435-460; arXiv).
- Differentiability, Porosity and Doubling in Metric Measure Spaces (with D. Bate; Proceedings of the American Mathematical Society 141 (2013), 971-985; arXiv).
Current Teaching:- 2017SS: Geometric Analysis (MATH 8002). MWF 10:10AM-11:05AM in 60WCHARL 140. Office hours Monday 12:20-1:20.
Future Conferences:- Seventh Ohio River Analysis Meeting (ORAM 7), University of Cincinnati, March 25-26, 2017.
- 23rd Rolf Nevanlinna Colloquium, ETH Zurich, Switzerland, June 12-17, 2017.
- Workshop on Geometric Measure Theory, University of Warwick, UK, July 10-14, 2017.
- AMS Spring Eastern Sectional Meeting 2018, Northeastern University, April 21-22, 2018.
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