Publications

All of my papers are available on the arXiv. Some recent/selected publications:

TitleJoint withJournal
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
KatoarXiv
Wilkie’s conjecture for Pfaffian structuresNovikov
Zack
Annals
(to appear)
arXiv
Effective computations for weakly
optimal subvarieties
DawJEMS
(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
MasserCompt. 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
NovikovArMJ ’21
arXiv
Point counting for foliations
over number fields
Forum Math. Pi ’22
arXiv
Effective cylindrical cell
decompositions for restricted
sub-Pfaffian sets
VorobjovIMRN ’20
arXiv
Some effective estimates for
André-Oort in Y(1)^n
(appendix
by Kowalski)
Crelle ’19
arXiv
Complex Cellular StructuresNovikov
(appendix
by Yomdin)
Annals ’19
arXiv
Density of algebraic points on
Noetherian varieties
GAFA ’19
arXiv
Wilkie’s conjecture for
restricted elementary functions
NovikovAnnals ’17
arXiv
The Pila-Wilkie theorem for
subanalytic families
NovikovCompositio ’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
NovikovGAFA ’15
arXiv
Intersection multiplicities of
Noetherian functions
NovikovAdvances ’12
arXiv
On the number of zeros of
Abelian integrals
Novikov
Yakovenko
Inventiones ’10
arXiv

Full list of publications is here.