Research Interests

• Harmonic Analysis
  Extremal problems for trigonometric polynomials and positive definite functions.
  Applications to Number Theory.
  Applications to problems of Geometry (especially Tilings).
  
• Additive Number Theory
  Sets with distinct sums.
  Additive bases of the integers.
  Additive complements.
  Sum-free sets.
• Probabilistic Methods
  Applications in Harmonic Analysis and Additive Number Theory.
• Theoretical Computer Science
  Efficient constructions in Analytic and Number-Theoretic problems.