Bas Edixhoven | Academic Influence

Bas Edixhoven's AcademicInfluence.com Rankings

Bas Edixhoven

Mathematics

#3668

World Rank

#5372

Historical Rank

Measure Theory

#4305

World Rank

#5069

Historical Rank

mathematics Degrees

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Mathematics

Bas Edixhoven's Degrees

PhD Mathematics University of Amsterdam

Why Is Bas Edixhoven Influential?

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According to Wikipedia, Sebastiaan Johan Edixhoven was a Dutch mathematician who worked in arithmetic geometry. He was a professor at University of Rennes 1 and Leiden University. Education Bas Edixhoven was born on 12 March 1962 in Leiden, Netherlands. Edixhoven graduated from in Zoetermeer in 1980. He then studied at Utrecht University where he graduated with a master's degree in pure mathematics cum laude in 1985 and a PhD in mathematics in 1989, both under the direction of Frans Oort. His thesis was about modular curves.

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Bas Edixhoven'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

The weight in Serre's conjectures on modular forms (1992) (302)
Néron models and tame ramification (1992) (114)
Subvarieties of Shimura varieties (2001) (112)
On the semi-simplicity of the $U_p$-operator on modular forms (1996) (80)
$J_1(p)$ has connected fibers (2003) (73)
Computational aspects of modular forms and Galois representations : how one can compute in polynomial time the value of Ramanujan's tau at a prime (2006) (68)
On the Manin constants of modular elliptic curves (1991) (57)
Special Points on the Product of Two Modular Curves (1996) (57)
Minimal resolution and stable reduction of $X_0(N)$ (1990) (56)
Special points on products of modular curves (2003) (56)
COMPARISON OF INTEGRAL STRUCTURES ON SPACES OF MODULAR FORMS OF WEIGHT TWO, AND COMPUTATION OF SPACES OF FORMS MOD 2 OF WEIGHT ONE. WITH APPENDICES BY JEAN-FRANÇOIS MESTRE AND GABOR WIESE (2003) (47)
On the André-Oort Conjecture for Hilbert Modular Surfaces (1999) (47)
Elliptic curves, Hilbert modular forms and Galois deformations (2013) (43)
Algebraic Stacks Whose Number of Points over Finite Fields is a Polynomial (2005) (32)
On the Computation of the Coefficients of a Modular Form (2006) (24)
On Néron models, divisors and modular curves (1998) (21)
Rational torsion points on elliptic curves over number fields [after Kamienny and Mazur] (1994) (20)
A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences (2008) (20)
On the p-adic geometry of traces of singular moduli (2005) (18)
Diophantine Approximation and Abelian Varieties (1993) (17)
On the prime-to-$p$ part of the groups of connected components of Néron models (1994) (15)
Point counting after Kedlaya, EIDMA-Stieltjes Graduate course, Leiden, September 22-26, 2003 (2006) (15)
GEOMETRIC QUADRATIC CHABAUTY (2019) (15)
Hasse invariant and group cohomology (2002) (14)
Elliptic curves over the rationals with bad reduction at only one prime (1990) (14)
Chapter 11. Bounds for Arakelov invariants of modular curves (2011) (10)
On a result of Imin Chen (1996) (10)
COVERS OF SURFACES WITH FIXED BRANCH LOCUS (2008) (8)
Modular forms on Schiermonnikoog (2008) (8)
Rational elliptic curves are modular (2000) (6)
Semistable reduction of modular curves associated with maximal subgroups in prime level (2019) (6)
Arithmetic Part of Faltings’s Proof (1993) (5)
Pink’s conjecture on unlikely intersections and families of semi-abelian varieties (2019) (5)
A mod p variant of the André–Oort conjecture (2018) (5)
Chapter 4. Short introduction to heights and Arakelov theory (2011) (4)
Chapter 2. Modular curves, modular forms, lattices, Galois representations (2011) (3)
Group schemes out of birational group laws, N\'eron models (2012) (2)
Chapter 3. First description of the algorithms (2011) (2)
The André-Oort conjecture (2015) (1)
Chapter 14. Computing the residual Galois representations (2011) (1)
Has Connected Fibers (2003) (1)
Chapter 15. Computing coefficients of modular forms (2011) (1)
Chapter 9. Applying Arakelov theory (2011) (1)
First descriptions of the algorithms (2011) (1)
Chapter 1. Introduction, main results, context (2011) (1)
Hilbert modular forms and local Langlands (2005) (1)
Diophantine Approximation and Abelian Varieties: Introductory Lectures (1993) (1)
Shimura varieties, notes for some introductory lectures (2014) (0)
On the computation of the coefﬁcients of modular forms (2010) (0)
Bas Edixhoven (2022) (0)
Simplicity of Frobenius eigenvalues in the Galois representations associated to modular forms (1996) (0)
ELLIPTIC CURVES, SERRE’S CONJECTURE AND FERMAT’S LAST THEOREM (2009) (0)
Preface to the Steenbrink issue (2007) (0)
A mod p variant of the André–Oort conjecture (2018) (0)
Galois representations and Modular forms (2018) (0)
A letter from the Editors (2010) (0)
The Solution The André – Oort conjecture (2014) (0)
Research project Models for cohomology theories (2014) (0)
Regular models of modular curves in prime level over ${\mathbb Z}_p^{\mathrm{ur}}$ (2022) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 32 / 2005 Explicit Methods in Number Theory (2005) (0)
Introduction to Serre's conjecture. (2005) (0)
Overview of Khare’s proof (2005) (0)
Modular Forms (2009) (0)
Modular Forms on Schiermonnikoog: Modular Forms (2008) (0)
Chapter 8. Description of X1(5l) (2011) (0)
Dependencies between the chapters (2011) (0)
Research project HBCAV Heights of branched coverings of arithmetic varieties (2010) (0)
Approximate computations with modular curves (2012) (0)
1 D ec 2 00 3 Comparison of integral structures on spaces of modular forms of weight two , and computation of spaces of forms mod 2 of weight one with appendices (2008) (0)

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