Pietro Corvaja | Academic Influence

Pietro Corvaja's AcademicInfluence.com Rankings

Pietro Corvaja

Mathematics

#4698

World Rank

#6651

Historical Rank

Number Theory

#257

World Rank

#326

Historical Rank

Measure Theory

#4799

World Rank

#5618

Historical Rank

mathematics Degrees

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Mathematics

Pietro Corvaja's Degrees

PhD Mathematics University of Padua
Bachelors Mathematics University of Padua

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Why Is Pietro Corvaja Influential?

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According to Wikipedia, Pietro Corvaja is an Italian mathematician working in Diophantine geometry. He is a professor of geometry at the University of Udine. Early life and education Corvaja was born in Padua, Italy on 19 July 1967. He graduated with a scientific high school diploma from a liceo scientifico in 1985, before enrolling in the University of Pisa as a student of the Scuola Normale Superiore di Pisa. He graduated from the Scuola Normale with an undergraduate thesis on the theory of transcendental numbers under the direction of Roberto Dvornicich in 1989.

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Pietro Corvaja's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An upper bound for the G.C.D. of an - 1 and bn -1 (2003) (90)
On a general Thue's equation (2004) (88)
Some New Applications of the Subspace Theorem (2002) (72)
A Lower Bound for the Height of a Rational Function at S-unit Points (2003) (72)
Diophantine equations with power sums and Universal Hilbert Sets (1998) (69)
On integral points on surfaces (2002) (69)
On the greatest prime factor of (ab+1)(ac+1) (2002) (60)
A subspace theorem approach to integral points on curves (2002) (50)
Finiteness of integral values for the ratio of two linear recurrences (2002) (48)
Some cases of Vojta’s conjecture on integral points over function fields (2005) (43)
On the number of integral points on algebraic curves (2003) (32)
The Betti map associated to a section of an abelian scheme (2018) (32)
On the rational approximations to the powers of an algebraic number: Solution of two problems of Mahler and Mendès France (2004) (31)
On the Hilbert property and the fundamental group of algebraic varieties (2016) (29)
Greatest common divisors of $u-1, v-1$ in positive characteristic and rational points on curves over finite fields (2013) (29)
A new unicity theorem and Erdös’ problem for polarized semi-abelian varieties (2009) (25)
On the integral points on certain surfaces (2006) (24)
Integral points on threefolds and other varieties (2009) (24)
On the diophantine equation $f(a^m,y)=b^n$ (2000) (23)
Torsion hypersurfaces on abelian schemes and Betti coordinates (2018) (22)
Finiteness of odd perfect powers with four nonzero binary digits (2013) (21)
Applications of Diophantine Approximation to Integral Points and Transcendence (2018) (20)
Integral points, divisibility between values of polynomials and entire curves on surfaces (2009) (19)
S-unit points on analytic hypersurfaces (2005) (18)
Sharpening 'Manin-Mumford' for certain algebraic groups in dimension 2 (2013) (16)
A Lower Bound for Periods of Matrices (2003) (15)
Rational Fixed Points for Linear Group Actions (2006) (15)
On the torsion values for sections of an elliptic scheme (2019) (14)
On the length of the continued fraction for values of quotients of power sums (2005) (13)
Algebraic hyperbolicity of ramified covers of $\mathbb{G}^2_m$ (and integrap points on affine subsets of $\mathbb{P}_2$) (2013) (11)
Integral points in two-parameter orbits (2012) (10)
On the distribution of rational points on ramified covers of abelian varieties (2020) (10)
THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC (2018) (9)
Teichmüller Spaces of Generalized Hyperelliptic Manifolds (2017) (9)
On certain permutation groups and sums of two squares (2008) (8)
Integral points on algebraic varieties (2016) (8)
An $abcd$ theorem over function fields and applications (2011) (8)
Non-virtually abelian anisotropic linear groups are not boundedly generated (2021) (8)
On the greatest prime factor of Markov pairs (2006) (8)
Addendum to "On a general Thue's equation" (2006) (7)
A transcendence criterion for infinite products (2007) (7)
Integral Points on Algebraic Varieties: An Introduction to Diophantine Geometry (2016) (7)
On the maximal order of a torsion point on a curve in Gnm (2008) (5)
Bitangents to the quartic surface and infinitesimal deformations (2019) (5)
Composing Semi-algebraic O-Minimal Automata (2007) (5)
Unramified sections of the Legendre scheme and modular forms (2021) (4)
Decidable Compositions of O-Minimal Automata (2008) (4)
Diophantine Equations with Linear Recurrences (2018) (4)
Diophantine Approximation and Diophantine Equations (2018) (4)
Values of rational functions on non-hilbertian fields and a question of Weissauer (1998) (3)
Intersections in subvarieties of $G_m^l$ and applications to lacunary polynomials (2021) (3)
Analytic and rational sections of relative semi-abelian varieties (2020) (2)
Finite Orbits in Surfaces with a Double Elliptic Fibration and Torsion Values of Sections (2023) (2)
Arithmetic Geometry: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 (2010) (2)
On the rank of certain matrices (2011) (2)
Synchronized product of semi-algebraic O-minimal hybrid automata (2007) (2)
Hilbert Irreducibility Theorem (2016) (2)
Hilbert's irreducibility theorem for abelian varieties (2020) (1)
N T ] 6 J an 2 02 2 Quartic surfaces , their bitangents and rational points (2022) (1)
The surface of Gauss double points (2020) (1)
The Betti map associated to a section of an abelian scheme (2020) (1)
Fibred algebraic surfaces and commutators in the Symplectic group (2019) (1)
Finiteness theorems on elliptical billiards and a variant of the Dynamical Mordell-Lang Conjecture (2021) (1)
Parallel Composition of Semi-Algebraic O-Minimal Automata ? (2008) (1)
The Diophantine equation ₁^{₁}\cdots_{}^{_{}}=(₁,…,_{}). II (2009) (1)
Bounded Generation by semi-simple elements: quantitative results (2022) (1)
Addendum to "Some cases of Vojta's conjecture on Integral Points Over Function Fields", Journal Alg. Geometry, Vol. 17, 295-333, 2008 (2010) (1)
Quartic surface, its bitangents and rational points (2020) (0)
The theorems of Thue and Siegel (2016) (0)
Upper bound for the gcd(u-1, v-1), u,v S-units, generalisations and applications (解析数論およびその周辺の諸問題--RIMS研究集会報告集) (2010) (0)
On integral points of some Fano Threefolds and their Hilbert schemes of lines and conics (2022) (0)
Rational preperiodic points for rational maps (2006) (0)
Rational and holomorphic sections of abelian schemes (2020) (0)
Distribution of Rational and Holomorphic Curves in Algebraic Varieties (2015) (0)
The Diophantine equation $\alpha _{1}^{x_{1}}\cdots \alpha _{n}^{x_{n}} = f(x_{1},\dots ,x_{n})$. II (2009) (0)
Non-virtually abelian anisotropic linear groups are not boundedly generated (2021) (0)
Integral points in orbits for a two-dimensional dynamical system (2014) (0)
On the length of continued fractions for values of quotients of power sums (2004) (0)
Around the Chevalley–Weil theorem (2021) (0)
Upper bound for the $\gcd(u-1, v-1)$, $u,v$ $S$-units, generalisations [generalizations] and applications (Analytic number theory and related topics) (2010) (0)
The diophantine equation $\alpha^{x_1}_1\dots\alpha^{x_n}_n=f(x_1,\dots,x_n)$. II. (2010) (0)
On the existence of covers of $\mathbb P_1$ associated to certain permutations (2018) (0)
Torsion hypersurfaces on abelian schemes and Betti coordinates (2017) (0)
matrix (2019) (0)
On the Hilbert property and the fundamental group of algebraic varieties (2016) (0)
ON THE BETTI MAP ASSOCIATED TO ABELIAN LOGARITHMS (2019) (0)
A new unicity theorem and Erdös’ problem for polarized semi-abelian varieties (2011) (0)

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