Background


My research is in the fields of Harmonic Analysis and Geometric Measure Theory, with connections to Applied Mathematics. One part of my research lies on the interface between Harmonic Analysis and Geometric Measure Theory. It focuses on the theory of Quantitative Rectifiability. The goal is a quantitative study sets or measures, in a metric space (such as Euclidean space). This study is done via multiscale analysis. A second part of my research lies on the interface between Applied Mathematics and Harmonic Analysis or Geometric Measure Theory. In many applications one is given a large data set, represented as a subset of a metric space. A standard example is a subset of a high dimensional Euclidean space. One seeks to faithfully represent a large portion of this data set as a subset of a low dimensional Euclidean space.
I did my undergraduate studies at the Hebrew University in Jerusalem, Israel. In May 2005 I received my Ph.D. in mathematics from Yale University. It was done under the supervision of Professor Peter Jones. From Fall 2005 to Spring 2009 I was an NSF Postdoc/Hedrick Assistant Professor at the UCLA mathematics department (with the Analysis group). In fall 209 I started as an Assistant Professor at the Stony Brook mathematics department. As of fall 2015 I am an Associate Professor. I am currently supported by the NSF. In the past I was supported by the NSF as as well as a fellowship from the Alfred P. Sloan Foundation. (See Funding).

Papers and Preprints


(Authors are always in alphabetical order.)

Funding


Current
  • NSF DMS 1361473 (2014 - 2018)
Past
  • NSF DMS 1100008 (2011 - 2014)
  • Alfred P. Sloan Foundation (2010)
  • NSF DMS 0800837 and 0965766 (2008 - 2011). Note: 0800837 turned into 0965766 when I moved to Stony Brook.
  • NSF DMS MSPRF 0502747 (aka nsf postdoc) (2005 - 2009)




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