I am currently an Industrial Postdoc at the Institute for Mathematics and its Applications at the University of Minnesota. My host here is the Director of the IMA,
Professor Fadil Santosa.
I received my Ph.D. in mathematics from the
University of Rochester,
May 2012 under the direction of
Professor Alex Iosevich.
After graduating, I spent a year as a Postdoctoral Fellow in mathematics at the
Technion- Israel Institute of Technology.
My passion for mathematics centers around harmonic analysis with applications to
geometric measure theory and analytic number theory. I am also interested in time series data analysis. In addition to my professional pursuits, I love riding my bicycle, getting outdoors, reading philosophy, and spending time with friends and family.
E-mail: k l t a y l o r (at) ima.umn.edu
- The lattice point counting problem on the Heisenberg groups, (with R. Garg, A. Nevo), (in preparation), (2013).
Intersections of sets, Diophantine equations, and Fourier analysis , (with S. Eswarathasan and A. Iosevich), to appear in Journal d'Analyse Mathematique, (2013).
- Applications of generalized Radon transforms to problems in harmonic analysis, geometric measure, and analytic number theory, Thesis work for Ph.D. in Mathematics, Univeristy of Rochester; Advisor: Alex Iosevich, (2012).
On the Mattila-Sjolin Theorem for distance sets , (with A. Iosevich and M. Mourgoglou), Annales Academiæ Scientiarum Fennicæ Mathematica,
Volume 37, 557–562, (2012).
Lattice points close to families of surfaces, non-isotropic dilations and regularity of generalized Radon transforms. , (with A. Iosevich),
New York Journal of Mathematics, 17, 1-19, (2011).
Fourier integral operators, fractal sets, and the regular value
theorem , (with S. Eswarathasan and A. Iosevich), Advances in Mathematics, volume 228, pages 2385-2402 (2011)