José Felipe Voloch | Academic Influence

José Felipe Voloch's AcademicInfluence.com Rankings

José Felipe Voloch

Mathematics

#3053

World Rank

#4588

Historical Rank

Number Theory

#167

World Rank

#219

Historical Rank

Algebra

#580

World Rank

#765

Historical Rank

Measure Theory

#3305

World Rank

#3906

Historical Rank

mathematics Degrees

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Mathematics

José Felipe Voloch's Degrees

PhD Mathematics University of São Paulo
Masters Mathematics University of São Paulo
Bachelors Mathematics University of São Paulo

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Why Is José Felipe Voloch Influential?

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According to Wikipedia, José Felipe Voloch is a Brazilian mathematician who works on number theory and algebraic geometry and is a professor at Canterbury University. Career Voloch earned his Ph.D. from the University of Cambridge in 1985 under the supervision of John William Scott Cassels. He was a professor at the University of Texas, Austin.

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José Felipe Voloch'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

Weierstrass Points and Curves Over Finite Fields (1986) (291)
A note on elliptic curves over finite fields (1988) (107)
Fermat curves over finite fields (1988) (76)
Diagonal equations over function fields (1985) (72)
Wronskians and linear independence in fields of prime characteristic (1987) (61)
Frobenius non classical curves (1990) (61)
A formula for the Cartier operator on plane algebraic curves. (1987) (58)
Companion forms and Kodaira-Spencer theory (1992) (56)
Arcs in projective planes over prime fields (1990) (52)
Indifferentiable deterministic hashing to elliptic and hyperelliptic curves (2012) (51)
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields (2006) (47)
On the Completeness of Certain Plane Arcs-II (1987) (47)
Toward a proof of the Mordell-Lang conjecture in characteristic p (1992) (47)
Efficient Computation of Roots in Finite Fields (2006) (43)
The characterization of elliptic curves over finite fields (1988) (38)
A characterization of Hermitian curves (1991) (38)
Linear forms in p-adic roots of unity (1996) (36)
DIOPHANTINE APPROXIMATION ON ABELIAN VARIETIES IN CHARACTERISTIC p (1995) (35)
Multiplicative order of Gauss periods (2007) (34)
Explicit $p$-descent for elliptic curves in characteristic $p$ (1990) (33)
Lang's Conjectures, Fibered Powers, and Uniformity (1996) (33)
Euclidean weights of codes from elliptic curves over rings (2000) (28)
The Brauer–Manin obstruction for integral points on curves (2010) (27)
ELEMENTS OF HIGH ORDER ON FINITE FIELDS FROM ELLIPTIC CURVES (2010) (25)
On the order of points on curves over finite fields. (2007) (25)
On the Completeness of Certain Plane Arcs (1987) (25)
The Equation ax+ by=1 in Characteristic p (1998) (24)
Lang’s conjecture in characteristic $p$ : an explicit bound (1996) (23)
On hashing into elliptic curves (2009) (23)
Random Diophantine Equations (2004) (21)
The Equationax+by=1 in Characteristicp (1998) (20)
On some subgroups of the multiplicative group of finite rings (2004) (19)
On the conjectures of Mordell and Lang in positive characteristics (1991) (19)
Homogeneous weights and exponential sums (2003) (19)
Differential Operators and Interpolation Series in Power Series Fields (1998) (18)
Diophantine approximation in positive characteristic (1988) (17)
A Local-Global Criterion for Dynamics on P^1 (2008) (16)
Constructions of plane curves with many points (2001) (14)
Double circulant quadratic residue codes (2004) (14)
Codes over rings from curves of higher genus (1999) (14)
Duality for projective curves (1991) (14)
On the number of values taken by a polynomial over a finite field (1989) (13)
Surfaces in P 3 over finite fields (2001) (13)
Weights in codes and genus 2 curves (2003) (12)
DIOPHANTINE APPROXIMATION AND DEFORMATION (1999) (12)
ALGEBRAIC GEOMETRIC CODES ON SURFACES (2009) (11)
Visible Points on Curves over Finite Fields (2007) (11)
Symmetric Cryptography and Algebraic Curves (2008) (10)
Diophantine geometry in characteristic p: a survey (2013) (10)
Computing the minimal distance of cyclic codes (2005) (9)
The Least Nonsplit Prime in Galois Extensions of Q (2000) (9)
Breaking the Akiyama-Goto cryptosystem (2008) (9)
Finite Geometry and Combinatorics: Group-arcs of prime power order on cubic curves (1993) (9)
Transcendence of Elliptic Modular Functions in Characteristicp (1996) (8)
Finite descent obstruction on curves and modularity (2011) (8)
A Diophantine problem on algebraic curves over function fields of positive characteristic (1991) (8)
Elliptic Wieferich Primes (2000) (8)
Anabelian geometry and descent obstructions on moduli spaces (2015) (8)
On Certain Plane Curves with Many Integral Points (1999) (8)
Integrality of torsion points on abelian varieties over p-adic fields (1996) (7)
Reduction of the Manin map modulo p. (1994) (7)
Plane Curves with Many Points over Finite Fields (2004) (7)
On the Number of Places of Convergence for Newton's Method over Number Fields (2010) (7)
Unboundedness of the number of rational points on curves over function fields (2012) (7)
A note on algebraic curves in characteristic 2 (1988) (7)
Towards Lang-Trotter for Elliptic Curves over Function Fields (2006) (7)
Difference algebraic subgroups of commutative algebraic groups over finite fields (1999) (7)
Integral points of abelian varieties over function fields of characteristic zero (1993) (7)
GENERATORS OF ELLIPTIC CURVES OVER FINITE FIELDS (2011) (6)
On the p-adic Waring's problem (1999) (6)
Jacobians of Curves over Finite Fields (2000) (6)
Maps between curves and arithmetic obstructions (2017) (6)
RATIONAL POINTS ON SOME FERMAT CURVES AND SURFACES OVER FINITE FIELDS (2013) (6)
Siegel’s theorem for complex function fields (1994) (6)
Failing to hash into supersingular isogeny graphs (2022) (6)
Diophantine approximation in characteristiep (1995) (6)
The d-primary Brauer–Manin obstruction for curves (2017) (5)
Frobenius non-classical curves (1991) (5)
The Sato–Tate distribution in thin parametric families of elliptic curves (2015) (5)
Finite descent obstruction for curves over function fields (2012) (5)
An analogue of the Weierstrass ζ-function in characteristic p (1997) (5)
Value Sets of Sparse Polynomials (2018) (4)
Multiple Weierstrass points (1991) (4)
Effect of variation in density on the stability of bilinear shear currents with a free surface (2019) (4)
Locally Recoverable Codes on Surfaces (2019) (4)
Primitive points on constant elliptic curves over function fields (1990) (4)
Chebyshev's method for number fields (2000) (4)
On the duals of binary BCH codes (2001) (4)
A note on the arithmetic of differential equations (2000) (3)
Recovering algebraic curves from L-functions of Hilbert class fields (2020) (3)
Binomial exponential sums (2018) (3)
Local-global principles for Weil–Châtelet divisibility in positive characteristic (2016) (3)
Ramified covers of abelian varieties over function fields (1994) (3)
Evidence for the Dynamical Brauer–Manin Criterion (2013) (3)
Lee Weights of Codes from Elliptic Curves (1998) (2)
Lee weights of Z/4Z-codes from elliptic curves (1998) (2)
Descent obstructions and Brauer–Manin obstruction in positive characteristic (2012) (2)
Equations and Character Sums with Matrix Powers, Kloosterman Sums over Small Subgroups, and Quantum Ergodicity (2021) (2)
Distance Functions on Varieties over Non-Archimedian Local Fields (1997) (2)
On a Question of Buium (2000) (2)
GENERATORS OF FINITE FIELDS WITH POWERS OF TRACE ZERO AND CYCLOTOMIC FUNCTION FIELDS (2016) (2)
Torsion points on y^2=x^6+1 (1997) (2)
On the number of rational points on special families of curves over function fields (2016) (1)
The Brauer-Manin obstruction for constant curves over global function fields. (2019) (1)
Diophantine Approximation in characteristic p (2015) (1)
On the Castelnuovo-Severi inequality. (1988) (1)
ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE (2019) (1)
Recovering affine curves over finite fields from L-functions (2020) (1)
Planar surfaces in positive characteristic (2016) (1)
Difference subgroups of commutative algebraic groups over finite fields (1998) (1)
Special divisors of large dimension on curves with many points over finite fields (2011) (1)
Saddle surfaces admitting local support planes. (1985) (1)
Differential descent obstructions over function fields (2014) (1)
Maximal differential uniformity polynomials (2017) (1)
Mordell's equation in characteristic three (1990) (1)
Periods of abelian varieties in characteristic p (2015) (0)
Tate-Shafarevich groups of constant elliptic curves and isogeny volcanoes (2019) (0)
The discrete logarithm problem on elliptic curves and descents (2015) (0)
Curves of Genus 3 over Small Finite Fields (2003) (0)
Elements of high order (2013) (0)
Average distribution of prime ideals in families of number fields (2008) (0)
The Brill-Segre formula and the abc conjecture (2001) (0)
Commitment Schemes and Diophantine Equations (2020) (0)
Weil Sums over Small Subgroups (2022) (0)
Conics over function fields and the Artin-Tate conjecture (2010) (0)
O ct 2 01 9 LOCALLY RECOVERABLE CODES ON SURFACES (2019) (0)
The d-primary Brauer–Manin obstruction for curves (2018) (0)
A Brief Survey of Self-Dual Codes (2009) (0)
Planar surfaces in positive characteristic (2015) (0)
Curves that change genus can have arbitrarily many rational points (1995) (0)
Factoring polynomials over function fields (2021) (0)
Periods of ordinary abelian varieties in characteristic p (1998) (0)
Appendix to Dinesh S. Thakur's ‘Behaviour of Function Field Gauss Sums at Infinity’ (1993) (0)
Plane curves and p-adic roots of unity (1999) (0)
Corrections to “Value sets of sparse polynomials” (2021) (0)
The Sato–Tate distribution in thin parametric families of elliptic curves (2018) (0)
Finite descent obstruction for curves over function fields (2012) (0)
Memorial Article for John Tate (2021) (0)
Correction to "Frobenius non-classical curves" (1991) (0)
DIOPHANTINE APPROXIMATION AND DEFORMATION (ROUGH DRAFT) (2015) (0)
Rational points on symmetric squares of constant algebraic curves over function fields (2021) (0)

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