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Douglas Ulmer

Member of the Graduate Faculty | Department Head, Mathematics | Professor, Mathematics

Mathematics
Map Page
100+ Collaborators
$63K / $63K Funding
50+ Publications

Research Area

algebraic geometry, number theory, mathematics, curves, elliptic curves, cryptography, function fields, group theory, abstract algebra, field theory, geometry, arithmetic

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    Recent

    On BT1 grouschemes and Fermat curves vol 27, pg 705, 2021)

    2024

    Correction to “On 𝑩𝑻𝟏 grouschemes and Fermat curves”

    2024
    mathematics, number theory, algebraic geometry, corrections, curves

    -torsion for unramified Artin-Schreier covers of curves

    2023
    algebraic geometry, number theory, field theory, galois theory, cryptography

    Every 𝐵𝑇₁ grouscheme appears in a Jacobian

    2022
    algebra, mathematics, jacobian, group theory, abstract algebra

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

    2022
    elliptic surfaces, divisibility sequences, geography of surfaces, transversality of sections, applications

    Bounding tangencies of sections on elliptic surfaces

    2021
    elliptic surfaces, tangencies, bounding, sections, curves

    p-torsion of unramified ZZ-covers

    2021
    algebraic geometry, number theory, field theory, algebraic topology, group theory

    On BT1 grouschemes and Fermat curves

    2021
    number theory, algebraic geometry, cryptography, abstract algebra, mathematics

    On the arithmetic of a family of twisted constant elliptic curves

    2020
    elliptic curves, arithmetic, twisted curves, family, constant

    Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields

    2020
    number theory, algebraic geometry, elliptic curves, global function fields, arithmetic geometry

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    Douglas Ulmer | KMap Profile - Institutional Knowledge Map (KMap)