David Masser

Q: What Schools Are Affiliated With David Masser

David Masser is affiliated with the following schools: University of Michigan, University of Basel, University of Cambridge

David Masser's AcademicInfluence.com Rankings

David Masser

Mathematics

#985

World Rank

#1701

Historical Rank

Measure Theory

#3042

World Rank

#3611

Historical Rank

mathematics Degrees

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Mathematics

Why Is David Masser Influential?

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According to Wikipedia, David William Masser is Professor Emeritus in the Department of Mathematics and Computer Science at the University of Basel. He is known for his work in transcendental number theory, Diophantine approximation, and Diophantine geometry. With Joseph Oesterlé in 1985, Masser formulated the abc conjecture, which has been called "the most important unsolved problem in Diophantine analysis".

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David Masser'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

Intersecting a plane with algebraic subgroups of multiplicative groups (1999) (165)
Vanishing sums in function fields (1986) (139)
Fields of large transcendence degree generated by values of elliptic functions (1983) (132)
Anomalous Subvarieties—Structure Theorems and Applications (2007) (106)
Torsion anomalous points and families of elliptic curves (2008) (106)
Torsion points on families of squares of elliptic curves (2012) (80)
Counting points of small height on elliptic curves (1989) (74)
Isogeny estimates for abelian varieties, and finiteness theorems (1993) (73)
Elliptic Functions and Transcendence (1975) (72)
Counting algebraic numbers with large height II (2006) (71)
Estimating isogenies on elliptic curves (1990) (65)
Periods and minimal abelian subvarieties (1993) (61)
Galois Properties of Division Fields of Elliptic Curves (1993) (59)
Zero estimates on group varieties II (1981) (58)
An effective “Theorem of André” for CM-points on a plane curve (2012) (51)
Multiplicity estimates for analytic functions II (1980) (50)
Small values of the quadratic part of the Néron-Tate height on an abelian variety (1984) (50)
Specializations of finitely generated subgroups of abelian varieties (1989) (45)
On unlikely intersections of complex varieties with tori (2008) (43)
Uniformly counting points of bounded height (2004) (42)
Torsion points on families of products of elliptic curves (2014) (42)
New Advances in Transcendence Theory: Linear relations on algebraic groups (1988) (41)
Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn) (2015) (38)
Zero estimates on group varieties I (1981) (35)
Relative Manin–Mumford for Semi-Abelian Surfaces (2013) (34)
Linear equations over multiplicative groups, recurrences, and mixing I (2010) (34)
A vanishing theorem for power series (1982) (31)
On polynomials and exponential polynomials in several complex variables (1981) (31)
Multiplicity estimates for analytic functions. I. (1980) (31)
Small values of heights on families of abelian varieties (1987) (29)
Rational values of the Riemann zeta function (2011) (29)
Factorization estimates for abelian varieties (1995) (27)
Mixing and linear equations over groups in positive characteristic (2004) (26)
Endomorphism estimates for abelian varieties (1994) (24)
Heights, Transcendence, and Linear Independence on Commutative Group Varieties (2003) (24)
A Note on Maurin’s Theorem (2010) (23)
Refinements of the Tate conjecture for abelian varieties (1995) (23)
Specialization of endomorphism rings of abelian varieties (1996) (23)
Lower bounds for heights on elliptic curves (1980) (22)
Linear forms in elliptic integrals (1980) (22)
Torsion hypersurfaces on abelian schemes and Betti coordinates (2018) (22)
Intersecting curves and algebraic subgroups: conjectures and more results (2005) (21)
Linear forms in algebraic points of Abelian functions. I (1975) (21)
Auxiliary Polynomials in Number Theory (2016) (19)
Simultaneous Pell Equations (1996) (19)
Finiteness results for multiplicatively dependent points on complex curves (2003) (17)
Sharpening 'Manin-Mumford' for certain algebraic groups in dimension 2 (2013) (16)
Torsion points, Pell’s equation, and integration in elementary terms (2020) (15)
How to Solve a Quadratic Equation In Rationals (1998) (15)
On abc and discriminants (2002) (15)
On the torsion values for sections of an elliptic scheme (2019) (14)
On the square roots of strictly quasiaccretive complex matrices (1979) (14)
Specializations of some hyperelliptic Jacobians (1999) (14)
Algebraic independence properties of the Hecke-Mahler series (1999) (14)
Rational points on Grassmannians and unlikely intersections in tori (2015) (14)
Zero estimates with moving targets (2017) (13)
Diophantine approximation and lattices with complex multiplication (1978) (13)
Six unlikely intersection problems in search of effectivity (2015) (13)
Some effective estimates for elliptic curves (1989) (11)
Journées Arithmétiques 1980: Algebraic independence properties of values of elliptic functions (1982) (11)
Probabilistic considerations of creep crack growth (1994) (10)
BOUNDED HEIGHT IN PENCILS OF FINITELY GENERATED SUBGROUPS (2015) (9)
On and discriminants (2002) (9)
Lower bounds for the height in Galois extensions (2016) (9)
Unlikely intersections for curves in multiplicative groups over positive characteristic (2014) (9)
On the periods of Abelian functions in two variables (1975) (9)
Smart mechanical bearings using MEMS technology (1995) (9)
Bicyclotomic polynomials and impossible intersections (2013) (8)
A Panorama in Number Theory or The View from Baker's Garden: Search Bounds for Diophantine Equations (2002) (8)
Unlikely, likely and impossible intersections without algebraic groups (2013) (7)
Division Fields of Elliptic Functions (1977) (7)
Algebraic independence of values of elliptic functions (1986) (7)
Polynomial interpolation in several complex variables (1978) (6)
A Quick Proof of Sprindzhuk’s Decomposition Theorem (2006) (6)
Multiplicative isogeny estimates (1998) (6)
3136. The discriminants of special equations (1966) (6)
Abelian varieties isogenous to no Jacobian (2020) (5)
A Proof of the ABC Conjecture (2014) (5)
Sharp estimates for weierstrass elliptic functions (2003) (4)
Large period matrices and a conjecture of Lang (1993) (4)
ON SPARSELY TOTIENT NUMBERS (1986) (4)
Unlikely intersections for curves in additive groups over positive characteristic (2017) (4)
Effective André–Oort for non-compact curves in Hilbert modular varieties (2021) (3)
On the periods of the exponential and elliptic functions (1973) (3)
Collinear CM-points (2015) (3)
Siegel's lemma is sharp for almost all linear systems (2019) (2)
On quasi-periods of abelian functions with complex multiplication (1980) (2)
Transcendence theory, advances and applications : proceedings of a conference held in Cambridge in 1976 (1977) (2)
Diophantine Approximation: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000 (2003) (2)
A Note on Siegel's Lemma (1996) (2)
Relative Manin-Mumford for abelian varieties (2014) (1)
Bounded height conjecture for function fields (2015) (1)
PENCILS OF NORM FORM EQUATIONS AND A CONJECTURE OF THOMAS (2021) (1)
Alan Baker, 1939–2018 (2019) (1)
Polarization Estimates for Abelian Varieties (2014) (1)
On products of polynomials (1993) (1)
Heights and Degrees: A Note on a Paper of C. Liebendörfer and G. Rémond (2006) (1)
Linear forms in algebraic points of Abelian functions. II (1976) (1)
Alan Baker, FRS, 1939–2018 (2021) (1)
The transcendence of certain quasi-periods associated with abelian functions in two variables (2019) (1)
On Small values of Polynomials (1977) (1)
A note on a paper of Franklin (1976) (1)
ALGEBRAIC NUMBERS AND DIOPHANTINE APPROXIMATION (1976) (1)
Multiplicative dependence of values of algebraic functions (2009) (1)
SPECIALIZATIONS OF ENDOMORPHISM RINGS OF ABELIAN VARIETIES(Analytic Number Theory) (1996) (0)
Lemmas on elliptic functions with complex multiplication (1975) (0)
A transcendence measure (1975) (0)
An effective proof of a theorem of Coates (1975) (0)
Transcendence and abelian functions (2019) (0)
Transcendence and abelian functions (2019) (0)
A lower bound for non-vanishing linear forms (1975) (0)
LECTURES ON TRANSCENDENTAL NUMBERS (1978) (0)
Appendix E: A Transcendence Measure for a Quotient of Periods (2012) (0)
Algebra & Number Theory (2014) (0)
Case Study: Minimizing Food Wastage From Farm to Consumer Products – A Systems Approach (2014) (0)
Linear forms in algebraic points (1975) (0)
Appendix G: Mixed Problems: Another Approach (2012) (0)
Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach (2012) (0)
The transcendence of definite integrals of algebraic functions (2019) (0)
The transcendence of definite integrals of algebraic functions (2019) (0)
Advanced Problems: 6479-6483 (1984) (0)
Irrationality measures I – Mahler (2016) (0)
Factorization estimates for abelian varieties . Homogénéité de certaines distributions sur les groupes p-adiques . Concentration of measure and isoperimetric inequalities in product spaces . Quantum ergodicity of eigenfunctions on PSL[2](Z)\H[2] (1995) (0)
Diophantine equations – Runge's Method (2016) (0)
Hydrodynamic bearing applications of micro-electro-mechanical systems (1995) (0)
Vanishing of linear forms without complex multiplication (1975) (0)
Irrationality measures II – Thue (2016) (0)
Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach (2012) (0)
A transcendence measure for $\pi$ (1977) (0)
Alan Baker. (2020) (0)
Memorial Tribute: Alan Baker 1939–2018 (2019) (0)
Irrationality II – Mahler's Method (2016) (0)
Transcendence I – Mahler (2016) (0)
Counting – Bombieri–Pila (2016) (0)
Appendix: Néron's square root (2016) (0)
Transcendence II – Hermite–Lindemann (2016) (0)
Integer-valued entire functions I – Pólya (2016) (0)
Integer-valued entire functions II – Gramain (2016) (0)
Another Note on Baker’s Theorem (1987) (0)
Transcendence III – Gelfond–Schneider–Lang (2016) (0)
Height upper bounds (2016) (0)
N ov 2 01 6 Collinear CM-points (2016) (0)
Galois Distribution on Tori—A Refinement, Examples, and Applications (2022) (0)
Polynomial-exponential equations -- some new cases of solvability (2023) (0)
Elliptic curves – Stepanov's Method (2016) (0)
Erratum: Lower bounds for the height in Galois extensions (2016) (0)
Unlikely intersections for curves in products of Carlitz modules (2022) (0)
Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof (2012) (0)
2 Special Varieties and the Theorem of Pila (2015) (0)
On some norm form equations (2020) (0)
Height lower bounds – Dobrowolski (2016) (0)
Torsion hypersurfaces on abelian schemes and Betti coordinates (2017) (0)
Torsion points on families of squares of elliptic curves (2011) (0)
ELLIPTIC CURVES DIOPHANTINE ANALYSIS (1980) (0)
Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions (2012) (0)
Coffee Coffee Coffee Coffee Coffee 1100-1200 (2012) (0)

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What Schools Are Affiliated With David Masser?

David Masser is affiliated with the following schools:

David Masser's Academic­Influence.com Rankings