Douglas Ulmer | Academic Influence

Douglas Ulmer's AcademicInfluence.com Rankings

Douglas Ulmer

Mathematics

#2692

World Rank

#4107

Historical Rank

#1050

USA Rank

Algebraic Geometry

#139

World Rank

#146

Historical Rank

#35

USA Rank

Measure Theory

#5253

World Rank

#6214

Historical Rank

#1478

USA Rank

mathematics Degrees

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Mathematics

Douglas Ulmer's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Douglas Ulmer Influential?

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According to Wikipedia, Douglas Ulmer is an American mathematician who works in algebraic geometry and number theory. He is a professor and mathematics department head at the University of Arizona. Education Ulmer did his undergraduate study at Princeton University. In 1987, he received his PhD at Brown University, where his advisor was Benedict Hyman Gross; his thesis was titled The Arithmetic of Universal Elliptic Modular Curves.

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Douglas Ulmer'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

Elliptic curves with large rank over function fields (2001) (118)
Elliptic curves over function fields (2011) (50)
L-functions with large analytic rank and abelian varieties with large algebraic rank over function fields (2006) (41)
Curves of genus ten on K3 surfaces (1993) (32)
Curves and Jacobians over Function Fields (2014) (31)
Elliptic Curves and Analogies Between Number Fields and Function Fields (2003) (30)
Explicit points on the Legendre curve (2010) (29)
On Mordell–Weil groups of Jacobians over function fields (2010) (28)
p-descent in characteristic p (1991) (27)
Geometric non-vanishing (2003) (22)
On universal elliptic curves over Igusa curves (1990) (18)
Explicit points on the Legendre curve II (2013) (15)
On the Brauer–Siegel ratio for abelian varieties over function fields (2018) (13)
Ranks of Jacobians in towers of function fields (2010) (12)
Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields (2006) (11)
Conductors of l-adic representations (2013) (10)
Explicit points on the Legendre curve III (2014) (9)
Park City lectures on elliptic curves over function fields (2011) (9)
Arithmetic of abelian varieties in Artin-Schreier extensions (2013) (9)
Rational curves on elliptic surfaces (2014) (8)
Bounding Tangencies of Sections on Elliptic Surfaces (2020) (8)
On Balanced Subgroups of the Multiplicative Group (2012) (8)
On the Fourier coefficients of modular forms (1995) (8)
On the arithmetic of a family of twisted constant elliptic curves (2019) (7)
Unboundedness of the number of rational points on curves over function fields (2012) (7)
L-Functions of Universal Elliptic Curves Over Igusa Curves (1990) (7)
Arithmetic Geometry over Global Function Fields (2014) (6)
Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces (2019) (6)
A construction of local points on elliptic curves over modular curves (1995) (5)
Slopes of modular forms and congruences (1996) (5)
Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields (2015) (5)
CRM lectures on curves and Jacobians over function fields (2012) (5)
On BT1 group schemes and Fermat curves (2021) (3)
On the Fourier coefficients of modular forms. II (1996) (2)
Every $BT_1$ group scheme appears in a Jacobian (2021) (2)
Ranks of Elliptic Curves and Random Matrix Theory: Function fields and random matrices (2010) (2)
Low-dimensional factors of superelliptic Jacobians (2014) (2)
A VIEW FROM THE CHAIR (2003) (2)
Arithmetic of Jacobians in Artin-Schreier extensions (2013) (2)
On the number of rational points on special families of curves over function fields (2016) (1)
Slopes of Modular Forms (2005) (0)
Low-dimensional factors of superelliptic Jacobians (2014) (0)
On $BT_1$ group schemes and Fermat Jacobians (2020) (0)
CORRECTION TO “EXPLICIT POINTS ON THE LEGENDRE CURVE III” (2017) (0)
Algebra & Number Theory (2014) (0)
2 8 O ct 2 01 2 Curves and Jacobians over function fields (2012) (0)

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Other Resources About Douglas Ulmer

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What Schools Are Affiliated With Douglas Ulmer?

Douglas Ulmer is affiliated with the following schools: