Raanan Schul, Ph.D.

Affiliations: 
Mathematics Stony Brook University, Stony Brook, NY, United States 
 2005 Yale University, New Haven, CT 
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"Raanan Schul"

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Peter Jones grad student 2005 Yale
 (Subset of rectifiable curves in Hilbert space and the analyst's TSP.)
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Publications

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Li S, Schul R. (2016) The traveling salesman problem in the Heisenberg group: Upper bounding curvature Transactions of the American Mathematical Society. 368: 4585-4620
Badger M, Schul R. (2016) Two sufficient conditions for rectifiable measures Proceedings of the American Mathematical Society. 144: 2445-2454
Badger M, Schul R. (2015) Multiscale analysis of 1-rectifiable measures: necessary conditions Mathematische Annalen. 361: 1055-1072
Azzam J, Schul R. (2014) A quantitative metric differentiation theorem Proceedings of the American Mathematical Society. 142: 1351-1357
Schul R. (2014) Ahlfors-regular curves in metric spaces Annales Academiae Scientiarum Fennicae Mathematica. 32: 437-460
Azzam J, Schul R. (2012) How to take shortcuts in Euclidean space: Making a given set into a short quasi-convex set Proceedings of the London Mathematical Society. 105: 367-392
Azzam J, Schul R. (2012) Hard Sard: Quantitative Implicit Function and Extension Theorems for Lipschitz Maps Geometric and Functional Analysis. 22: 1062-1123
Jones PW, Maggioni M, Schul R. (2010) Universal local parametrizations via heat kernels and eigenfunctions of the laplacian Annales Academiae Scientiarum Fennicae Mathematica. 35: 131-174
Garnett J, Killip R, Schul R. (2010) A doubling measure on ℝd can charge a rectifiable curve Proceedings of the American Mathematical Society. 138: 1673-1679
Schul R. (2009) Bi-lipschitz decomposition of Lipschitz functions into a metric space Revista Matematica Iberoamericana. 25: 521-531
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