All of my papers are available on the arXiv. Some recent/selected publications:
Title | Joint with | Journal |
Sharp bounds for the number of rational points on algebraic curves and dimension growth, over all global fields | Cluckers Kato | arXiv |
Bounds for rational points on algebraic curves and dimension growth | Cluckers Novikov | arXiv IMRN (to appear) |
An effective Pila-Wilkie theorem for sets definable using Pfaffian functions, with some diophantine applications | Jones Schmidt Thomas | arXiv |
Sharply o-minimal structures and sharp cellular decomposition | Novikov Zack | arXiv |
Rational points of rigid-analytic sets: a Pila-Wilkie type theorem | Kato | arXiv |
Wilkie’s conjecture for Pfaffian structures | Novikov Zack | Annals (to appear) arXiv |
Effective computations for weakly optimal subvarieties | Daw | JEMS (to appear) arXiv |
Lower bounds for Galois orbits of special points on Shimura varieties: a point-counting approach | Schmidt Yafaev | Math. Ann. (to appear) arXiv |
Effective André-Oort for non-compact curves in Hilbert modular varieties | Masser | Compt. Rend. ’21 arXiv |
Point counting and Wilkie’s conjecture for non-archimedean Pfaffian and Noetherian functions | Cluckers, Novikov | Duke (to appear) arXiv |
The Yomin-Gromov algebraic lemma revisited | Novikov | ArMJ ’21 arXiv |
Point counting for foliations over number fields | Forum Math. Pi ’22 arXiv | |
Effective cylindrical cell decompositions for restricted sub-Pfaffian sets | Vorobjov | IMRN ’20 arXiv |
Some effective estimates for André-Oort in Y(1)^n | (appendix by Kowalski) | Crelle ’19 arXiv |
Complex Cellular Structures | Novikov (appendix by Yomdin) | Annals ’19 arXiv |
Density of algebraic points on Noetherian varieties | GAFA ’19 arXiv | |
Wilkie’s conjecture for restricted elementary functions | Novikov | Annals ’17 arXiv |
The Pila-Wilkie theorem for subanalytic families | Novikov | Compositio ’17 arXiv |
Zero counting and invariant sets of differential equations | IMRN ’17 arXiv | |
Bezout-type Theorems for Differential Fields | Compositio ’17 arXiv | |
Pfaffian intersections and multiplicity cycles | Selecta ’16 arXiv | |
Multiplicity estimates: a Morse-theoretic approach | Duke ’16 arXiv | |
Multiplicities of Noetherian deformations | Novikov | GAFA ’15 arXiv |
Intersection multiplicities of Noetherian functions | Novikov | Advances ’12 arXiv |
On the number of zeros of Abelian integrals | Novikov Yakovenko | Inventiones ’10 arXiv |
Full list of publications is here.