2026 Umberto Zannier: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	31	3351	2991	117	110	261	3798

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

3351

2991

117

110

261

3798

Research.com Recognitions

2012 - Member of Academia Europaea

Overview

Umberto Zannier is affiliated with the Scuola Normale Superiore di Pisa in Italy. Their research primarily spans the field of Mathematics, with a focus on various subfields including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Applied Mathematics, and Discrete Mathematics and Combinatorics.

The main topics covered in their work include:

Algebraic Geometry and Number Theory
Polynomial and algebraic computation
Analytic Number Theory Research
Meromorphic and Entire Functions
Advanced Algebra and Geometry
Finite Group Theory Research
Mathematical Dynamics and Fractals

Among the recent papers authored or co-authored by Umberto Zannier are:

"The Betti map associated to a section of an abelian scheme" (2020), published in Inventiones mathematicae
"Torsion points, Pell's equation, and integration in elementary terms" (2020), published in Acta Mathematica
"On the distribution of rational points on ramified covers of abelian varieties" (2022), published in Compositio Mathematica
"Abelian varieties isogenous to no Jacobian" (2020), published in Annals of Mathematics
"D-finiteness, rationality, and height II: Lower bounds over a set of positive density" (2023), published in Advances in Mathematics

Frequent co-authors collaborating with Zannier include:

Pietro Corvaja
Julian Lawrence Demeio
David Masser
Davide Lombardo
Jason P. Bell

Zannier's publications appear regularly in several academic venues, with multiple contributions to:

arXiv (Cornell University)
Mathematische Zeitschrift
Inventiones mathematicae
Compositio Mathematica
Advances in Mathematics

In addition to research articles, Zannier has contributed to book literature, including the publication titled Lecture Notes on Diophantine Analysis released in 2024 as part of the EMS series of lectures in mathematics.

Recognition of scientific membership includes being named a Member of the Academia Europaea in 2012.

Best Publications

Intersecting a curve with algebraic subgroups of multiplicative groups

E. Bombieri;D. Masser;U. Zannier

230
Citations
Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)

Umberto Zannier

157
Citations
Anomalous Subvarieties—Structure Theorems and Applications

E. Bombieri;D. Masser;U. Zannier

155
Citations
Rational points in periodic analytic sets and the Manin–Mumford conjecture

Jonathan Pila;Umberto Zannier

152
Citations
Torsion anomalous points and families of elliptic curves

David Masser;Umberto Zannier

151
Citations
ON A GENERAL THUE'S EQUATION

Pietro Corvaja;Umberto Zannier

124
Citations
Torsion points on families of squares of elliptic curves

David Masser;Umberto Zannier

121
Citations
An upper bound for the G.C.D. of a n - 1 and b n -1

Y. Bugeaud;P. Corvaja;U. Zannier

105
Citations
Diophantine equations with power sums and Universal Hilbert Sets

P. Corvaja;U. Zannier

101
Citations
On integral points on surfaces

Pietro Corvaja;Umberto Zannier

99
Citations
Algebraic points on subvarieties of Gmn

E. Bombieri;U. Zannier

88
Citations
Some New Applications of the Subspace Theorem

Pietro Corvaja;Umberto Zannier

87
Citations
A Lower Bound for the Height of a Rational Function at S-unit Points

Unknown

82
Citations
Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps)

Roberto Dvornicich;U. Zannier

76
Citations
A relative Dobrowolski lower bound over abelian extensions

Francesco Amoroso;Umberto Zannier

75
Citations
Finiteness of integral values for the ratio of two linear recurrences

Pietro Corvaja;Umberto Zannier

71
Citations
The Equation f(X) = f(Y) in Rational Functions X = X(t), Y = Y(t)

Roberto M. Avanzi;Umberto M. Zannier

71
Citations
A subspace theorem approach to integral points on curves

Pietro Corvaja;Umberto Zannier

69
Citations
On the greatest prime factor of (+1)(+1)

P. Corvaja;U. Zannier

69
Citations
Local-global divisibility of rational points in some commutative algebraic groups

Roberto Dvornicich;Umberto Zannier

68
Citations
Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings

David Masser;Umberto Zannier

68
Citations
Torsion points on families of products of elliptic curves

David Masser;Umberto Zannier

67
Citations
On the number of terms of a composite polynomial

Umberto Zannier

54
Citations
On unlikely intersections of complex varieties with tori

E. Bombieri;D. Masser;U. Zannier

38
Citations
Intersecting a plane with algebraic subgroups of multiplicative groups

Enrico Bombieri;David Masser;Umberto Zannier

23
Citations

Frequent Co-Authors

David Masser University of Basel

Enrico Bombieri Institute for Advanced Study

Igor E. Shparlinski University of New South Wales

Wolfgang M. Schmidt University of Colorado Boulder

Fei Hu University of Alabama

Yann Bugeaud University of Strasbourg

External Links

Personal website of Umberto Zannier

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