Paul Vojta | Academic Influence

Paul Vojta's AcademicInfluence.com Rankings

Paul Vojta

Mathematics

#731

World Rank

#1329

Historical Rank

#318

USA Rank

Algebraic Geometry

#44

World Rank

#47

Historical Rank

#11

USA Rank

Measure Theory

#4087

World Rank

#4815

Historical Rank

#1158

USA Rank

mathematics Degrees

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Mathematics

Paul Vojta's Degrees

PhD Mathematics University of California, Berkeley

Why Is Paul Vojta Influential?

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According to Wikipedia, Paul Alan Vojta is an American mathematician, known for his work in number theory on Diophantine geometry and Diophantine approximation. Contributions In formulating Vojta's conjecture, he pointed out the possible existence of parallels between the Nevanlinna theory of complex analysis, and diophantine analysis in the circle of ideas around the Mordell conjecture and abc conjecture. This suggested the importance of the integer solutions aspect of diophantine equations.

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Paul Vojta'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

Diophantine Approximations and Value Distribution Theory (1987) (452)
Siegel's theorem in the compact case (1991) (164)
Integral points on subvarieties of semiabelian varieties, I (1996) (163)
Diophantine Approximation and Nevanlinna Theory (2011) (92)
A more general abc conjecture (1998) (65)
A Refinement of Schmidt's Subspace Theorem (1989) (61)
On Cartan's theorem and Cartan's conjecture (1997) (53)
Schmidt's subspace theorem with moving targets (1997) (44)
A generalization of theorems of Faltings and Thue-Siegel-Roth-Wirsing (1992) (43)
Jets via Hasse-Schmidt Derivations (2004) (34)
On algebraic points on curves (1991) (31)
A birational Nevanlinna constant and its consequences (2016) (31)
Mordell's conjecture over function fields (1989) (29)
A Higher Dimensional Mordell Conjecture (1986) (27)
On the abc conjecture and diophantine approximation by rational points (1999) (26)
Roth's theorem with moving targets (1996) (20)
Nagata's embedding theorem (2007) (18)
Integral points on varieties (1983) (18)
Dyson's lemma for products of two curves of arbitrary genus (1989) (17)
Applications of arithmetic algebraic geometry to diophantine approximations (1993) (17)
Examples of some Q-admissible groups (1987) (13)
Arithmetic discriminants and quadratic points on curves (1991) (12)
Nevanlinna Theory and Diophantine Approximation (1999) (11)
A Lang Exceptional Set for Integral Points (2015) (11)
Arithmetic and Hyperbolic Geometry (1990) (6)
An Evertse–Ferretti Nevanlinna constant and its consequences (2020) (4)
Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation (2007) (4)
Correction to "On the ABC conjecture and diophantine approximation by rational points" (2001) (3)
Roth’s Theorem over arithmetic function fields (2018) (3)
THE MATHEMATICAL CONTRIBUTIONS OF SERGE LANG JAY JORGENSON AND (2006) (3)
Arithmetic algebraic geometry : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Trento, Italy, June 24- July 2, 1991 (1993) (3)
Chapter 0 Preliminary Material (1998) (2)
Arithmetic Geometry: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 (2010) (2)
Birational Nevanlinna Constants, Beta Constants, and Diophantine Approximation to Closed Subschemes (2020) (2)
Recent Work on Nevanlinna Theory and Diophantine Approximation (1990) (2)
On McQuillan's "tautological inequality" and the Weyl-Ahlfors theory of associated curves (2007) (1)
On the Nochka-Chen-Ru-Wong proof of Cartan's conjecture (2005) (1)
Arithmetic algebraic geometry, Trento, Italy 1991 (1993) (1)
Transplanting Faltings' garden (2009) (1)
Nevanlinna Theory and Diophantine Approximation PAUL VOJTA (1999) (0)
Understanding Dyson ’ s Lemma (2012) (0)
Approximation to hyperplanes (1987) (0)
Recent Applications of Schmidt ’ s Subspace Theorem (2016) (0)
Consequences of the main conjecture (1987) (0)
THE THUE-SIEGEL METHOD IN DIOPHANTINE GEOMETRY (2014) (0)
Toric geometry and Dyson’s lemma (2014) (0)
Book Review: Topics in Nevanlinna theory (1992) (0)
A correspondence with Nevanlinna theory (1987) (0)
The ramification term (1987) (0)
Heights and integral points (1987) (0)
On Mordell-Lang in Algebraic Groups of Unipotent Rank 1 (2012) (0)

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