ICMAT Member
- Data
Institution: Universidad Autónoma de Madrid
Position: Profesor Titular de Universidad
Office: 311 Phone: 771
E-mail: franciscojavier.cilleruelo()uam.es
- Personal webpage
- http://www.uam.es/personal_pdi/ciencias/cillerue/
- Research Interest
Combinatorial Number Theory, Additive Combinatorics, Analytic Number Theory.
- Publications
Selected papers
- Concentration of points on two and three dimensional modular hyperbolas and applications (with M. Garaev), Geometric and Functional Analysis, to appear
- The least common multiple of a quadratic sequence, Compositio Mathematica, vol 147, nº4 (2011)
- Generalized Sidon sets (with I. Ruzsa and C. Vinuesa), Advanced in Mathematics, vol 225, nº5 (2010)
- Close lattice points on circles (with A. Granville), Canadian Journal of Mathematics, vol 61, nº6 (2009)
- On sums of dilates (with Y. Hamidoune and O. Serra), Combinatorics, Probability and Computing, vol 118, nº6 (2009)
- Lattice points on circle, squares in arithmetic progressions and sumsets of squares (with A. Granville) in "Additive Combinatorics", CRM Proceedings & Lecture Notes, RI, Amer. Math. Soc. vol 43 (2007)
- Upper and lower bound s for finite B_h[g] sequences (with I. Ruzsa and C. Trujillo), Journal of Number Theory, vol 97,nº1 (2002)
- New upper bounds for B_h sequences, Advances in Mathematics, vol 159, nº1 (2001)
- The Severi bound on sections of rank two semistable bundles on a Riemann surface (with I. Sols), Annals of Mathematics, vol 154, nº 3 (2001)
- Lattice points on ellipses (with A. Córdoba), Duke Mathematical Journal, vol 76, nº 3 (1994)
