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Last modified 2 October 2010
Preprints and Expository Notes   

                                           
Papers and Preprints:


13.
Improved bounds on Sarkozy's theorem for quadratic polynomials (with Mariah Hamel and Alex Rice)
submitted

12.
A new proof of Sarkozy's theorem
to appear in the Proc. Amer. Math. Soc.

11.
Polynomial differences in the primes (with Alex Rice)
submitted

10. Simultaneous polynomial recurrence (with Akos Magyar)
Bull. Lond. Math. Soc. 43 (2011), no. 4, 765-785

9.
Optimal polynomial recurrence (with Akos Magyar)
to appear in the Canad. J. Math.
      Here is an exposition of the special case of squares: An optimal version of Sarkozy's theorem

8.
Arithmetic structure in sparse difference sets (with Mariah Hamel, Katherine Thompson and Nathan Walters)
J. Number Theory 130 (2010), 1581-1589

7.
Polynomial configurations in difference sets (with Akos Magyar)
J. Number Theory 129 (2009), 439-450
      Here is an exposition of the special case of squares: Sarkozy's theorem

6.
Strongly singular Radon transforms on the Heisenberg group and folding singularities (with Norberto Laghi)
Proc. Amer. Math. Soc. 136 (2008), no. 4, 1261-1272

5.
Strongly singular integrals along curves (with Norberto Laghi)
Pacific J. Math. 233 (2007), no. 2, 403-415

4.
Strongly singular integral operators associated to different quasi-norms on the Heisenberg group (with Norberto Laghi)
Math. Res. Lett. 14 (2007), no. 5, 825-838
      Here is a related determinant calculation

3.
Two-weight estimates for singular and strongly singular integral operators (with V. Kokilashvili and A. Meskhi)
Acta Math. Hungar. 116 (2007), no.1-2, 1-25

2.
A class of strongly singular Radon transforms on the Heisenberg group
Proc. Edinb. Math. Soc. (2) 50 (2007), 429-457

1.
Strongly singular convolution operators on the Heisenberg group
Trans. Amer. Math. Soc. 359 (2007), 4467-4488



Some Additional Expository Notes: