Outline

• I am a number theorist working at the interface of analytic number theory and Diophantine geometry.

Preprints

• a. (With Elsholtz) The number of representations of rationals as a sum of unit fractions
• b. The Lang-Weil estimate for cubic hypersurfaces
• c. (With la Bretèche) Binary forms as sums of two squares and Châtelet surfaces
• d. (With Baier) Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
• e. (With Baier, Marasingha and Zhao) Averages of shifted convolutions of d₃(n)
• f. (With Baier) Inhomogeneous quadratic congruences
• g. (With Van Valckenborgh) Sums of three squareful numbers
• h. (With Munshi) Rational points on singular intersections of quadrics
• i. (With Heath-Brown) Quadratic polynomials represented by norm forms
• j. (With Haynes) Incomplete Kloosterman sums and multiplicative inverses in short intervals

Upcoming conferences

• Analytic methods for Diophantine problems, Goettingen, 04/06/12-08/06/12.
• CNTA XII, Lethbridge, 17/06/12-22/06/12.
• Interactions of birational geometry with other fields, Durham, 02/07/12-07/07/12.
• Synergies and vistas in analytic number theory, Oxford, 03/09/12-07/09/12.
• Cohomological methods in arithmetic geometry, Zurich, 10/09/12-14/09/12.
• Diophantine geometry, Pisa, 24/09/12-28/09/12.
• Arithmetic and geometry, Bonn, 15/03/13-19/04/13.
• Rational points - geometric, analytic and explicit approaches, Warwick, 27/05/13-31/05/13.

Editorial work

• I am an Editorial Advisor for the London Mathematical Society journals. If you want to submit a paper to the Bulletin/Journal/Proceedings please follow the submission instructions.

Links

• [ArXiv]   [DLS]   [EMS]   [Heilbronn]   [JonB]   [Linfoot]   [LMS]   [MSciN]   [NTW]