• Current semester: Calculus and Analytic Geometry III  (Math 201), Topics in Analysis: Fourier analysis (Math 307)
• Past semesters

Research area: Harmonic analysis

Articles published or submitted:

• When the cone in Bochner's theorem has an opening less than {pi}, Bulletin of the London Mathematical Society, 44 (2012), no. 2, 207--221; doi: 10.1112/blms/bdr087
• The WAT conjecture on the torus, Proceedings of the American Mathematical Society, 139 (2011), no. 10, 3633--3643.
• Measures with Fourier transforms in L^2 of a half-space, Canadian Mathematical Bulletin, 54 (2011), no. 1, 172--179.
• Affine restriction for radial surfaces, Mathematische Zeitschrift, 262 (2009), no. 1, 41--55.
• Non-homogeneous strongly singular integrals, Studia Mathematica, 187 (2008), no. 3, 265--280.
• An affine restriction estimate in R^3, Proceedings of the American Mathematical Society, 135 (2007), no. 4, 1107--1113.
• Fourier restriction to convex surfaces of revolution in R^3 (with F. Abi-Khuzam), Publicacions Matemàtiques, 50 (2006), 71--85.
• Spherical means associated with non-isotropic dilation groups (with F. Abi-Khuzam), Results in Mathematics, 45 (2004), 195--200.
• Adjoint restriction estimates and scaling on spheres, Proceedings of the American Mathematical Society, 132 (2004), no. 5, 1517--1524.
• A class of non-homogeneous singular integrals in R^n (with F. Abi-Khuzam), Journal of Mathematical Analysis and Applications, 288 (2003), 274--284.
• Nonisotropic strongly singular integral operators, Transactions of the American Mathematical Society, 354 (2002), no. 12, 4893--4907.
• A sharp norm inequality for non-isotropic distance functions on R^n (with F. Abi-Khuzam), Mathematical Inequalities and Applications, 5 (2002), no. 3, 361--368.
• Singular integrals with nonhomogeneous oscillatory kernels, Indiana University Math Journal 50 (2001), no. 2, 1015--1025.
• On a singular integral estimate for the maximum modulus of a canonical product (with F. Abi-Khuzam), Illinois Journal of Math 44 (2000), no. 3, 551--555.

Preprints:

• A remark on the WAT conjecture (with F. Abi-Khuzam), preprint, 2009. pdf