Rabbi Yom Tov Lipmann Heller (1579-1654)
A Chronicle of Hardship and Hope, p.49

The published papers are organized by year of publication. Accepted papers are listed in order in which they were accepted. Finally, preprints and papers in preparation are listed in chronological order. At the end of the CV, the papers are also organized by research category.  


This page currently contains a set of lecture on the Kakeya problem and related issues, an elementary proof of Fuglede's conjecture relating tiling and exponential bases in the context of lattices, a description of some basic techniques of combinatorial geometry and applications to analysis, an exposition of Roth's theorem on arithmetic progressions of length three, and a proof of Falconer original distance set estimate using the Stein-Tomas restriction theorem.


My book, entitled "A view from the top: analysis, combinatorics and number theory" has appeared in the AMS Student Library Series, volume 39.

Eli Liflyand and I are writing a book on the asymptotics of the Fourier transforms and applications to geometric problems. This project is a few months away from completion.

Julia Garibaldi and I are writing a book on the Erdos distance problem. The book is meant to be accessible to undergradautes and even to advanced high school students. The book will be partly based on the notes we are writing for the high school program on the Erdos distance problem described below. The book is finished and only requires some illustrations to finally get done!

I am writing a research monograph with Derrick Hart on harmonic analysis in vector spaces over finite fields and applications to combinatorics and additive number theory. This book is about three months from completion.

My advisor

My Ph.D. advisor was Christopher Sogge (sogge@jhu.edu). He is a professor of mathematics at Johns Hopkins University. Chris has been very helpful and supportive over the years, for which I am grateful.

Collaborators: past and present

Medical physics: J. S. Aldridge
E. E. Fitchard
T. R. Mackie
G. H. Olivera
P. J. Reckwerdt