Analytic Number Theory, L-functions
Semi-complete holomorphic vector fields and the simple zero conjecture for the Riemann zeta function. In preparation.
The Grothendieck period conjecture for mixed Tate motives and foliations. In preparation.
On amenable subgroups of the group of real analytic diffeomorphisms of the circle.
The Tits alternative and several complex variables (Joint with Steven Krantz).
Topologically right equivalent complex hypersurface singularities are equimultiple.
A note on the Zariski multiplicity conjecture. C. R. Acad. Sci. Ser. I, 352 (2014) 725-729.
On topological rigidity of phase-portraits in the complex plane. (Joint with A. Mafra and B. Scardua), Bol. Soc. Mat. Mexicana (3) 19 (2013), no. 1, 65-83.
On Zariski's multiplicity conjecture. The proceedings Volume : Traces in Geometry, Number Theory and Quantum Fields, S. Albeverio et al (Editors), Aspects of Mathematics, E 38, Vieweg Verlag. 213-223, 2008.