Douglas Ulmer

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Curves and Jacobians over Function Fields

Douglas Ulmer, 2014 .

Slopes of modular forms

R. Pollack, Douglas Ulmer, 2005 .

A construction of local points on elliptic curves over modular curves

Douglas Ulmer, Douglas Ulmer, 1995 .

On the arithmetic of a family of twisted constant elliptic curves

Douglas Ulmer, Richard Griffon, 2019, Pacific Journal of Mathematics.

Elliptic curves with large rank over function fields

Douglas Ulmer, 2001, math/0109163.

Slopes of modular forms and congruences

Douglas Ulmer, 1996 .

L-functions with large analytic rank and abelian varieties with large algebraic rank over function fields

Douglas Ulmer, 2006, math/0609664.

Elliptic Curves and Analogies Between Number Fields and Function Fields

Douglas Ulmer, 2003, math/0305320.

Elliptic curves with large rank over function fields

Douglas Ulmer, 2001, math/0109163.

L-Functions of Universal Elliptic Curves Over Igusa Curves

Douglas Ulmer, 1990 .

Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields

Douglas Ulmer, 2006, math/0609716.

Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields

A. Silverberg, Jennifer Park, Chris Hall, 2015, Memoirs of the American Mathematical Society.

Geometric non-vanishing

Douglas Ulmer, 2003, math/0305321.

On the Brauer–Siegel ratio for abelian varieties over function fields

Douglas Ulmer, 2018, Algebra & Number Theory.

Elliptic curves over function fields

Douglas Ulmer, 2011 .

Park City lectures on elliptic curves over function fields

Douglas Ulmer, 2011, 1101.1939.

Curves of genus ten on K3 surfaces

Douglas Ulmer, F. Cukierman, 1993 .

Explicit points on the Legendre curve II

Chris Hall, Douglas Ulmer, R. Conceiccao, 2013, 1307.4251.

On BT1 group schemes and Fermat curves

R. Pries, Douglas Ulmer, 2021 .

On $BT_1$ group schemes and Fermat Jacobians

R. Pries, Douglas Ulmer, 2020, 2010.15160.

Every $BT_1$ group scheme appears in a Jacobian

Rachel Pries, Douglas Ulmer, R. Pries, 2021, 2101.07946.

p-descent in characteristic p

Douglas Ulmer, 1991 .

$p$-torsion for unramified Artin--Schreier covers of curves

Douglas Ulmer, Bryden Cais, 2023, 2307.16346.

Rational curves on elliptic surfaces

Douglas Ulmer, 2014, 1407.7845.

CRM lectures on curves and Jacobians over function fields

Douglas Ulmer, 2012, 1203.5573.

Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces

Douglas Ulmer, Giancarlo Urz'ua, Douglas Ulmer, 2019, Selecta Mathematica.

Bounding Tangencies of Sections on Elliptic Surfaces

Douglas Ulmer, G. Urz'ua, 2020, 2002.01906.

On the Fourier coefficients of modular forms

Douglas Ulmer, 1995 .

Conductors of l-adic representations

Douglas Ulmer, 2013, 1307.4525.

Ranks of Elliptic Curves and Random Matrix Theory: Function fields and random matrices

Douglas Ulmer, 2010, 1002.3289.

2 8 O ct 2 01 2 Curves and Jacobians over function fields

Douglas Ulmer, 2012 .

On the Fourier coefficients of modular forms. II

Douglas Ulmer, 1996 .

Arithmetic of Jacobians in Artin-Schreier extensions

R. Pries, Douglas Ulmer, 2013 .

Arithmetic of abelian varieties in Artin-Schreier extensions

R. Pries, Douglas Ulmer, 2013, 1305.5247.

Low-dimensional factors of superelliptic Jacobians

Douglas Ulmer, Tommy Occhipinti, 2014, European Journal of Mathematics.

Low-dimensional factors of superelliptic Jacobians

Douglas Ulmer, Tommy Occhipinti, 2014, 1409.7029.

Explicit points on the Legendre curve

Douglas Ulmer, 2010, 1002.3313.