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Last modified 23 May 2007
Preprints and Expository Notes   

                                           
Papers and Preprints:


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

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

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

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

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

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


In preparation:
  • Uniform lowers bounds for optimal polynomial return times in large sets of integer points (with Akos Magyar)
  • Polynomial configurations in sumsets (with Akos Magyar)
  • Nonisotropic strongly singular integral operators

Expository Notes:
  • Ramsey's theorem, exponential sums, and two contrasting disproofs of Fermat's last theorem mod p [to come]