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Douglas Ulmer
Member of the Graduate Faculty | Department Head, Mathematics | Professor, Mathematics
Mathematics
Full Page
Overview
Research
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Collaboration
(9)
Hao Zhang
Mutual work: 1 Proposal
Collaboration Details
Nirav Merchant
Mutual work: 1 Proposal
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Michael Chertkov
Mutual work: 1 Proposal
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Shankar Venkataramani
Mutual work: 1 Proposal
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Joseph Watkins
Mutual work: 1 Proposal
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Grants
(2)
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Publications
(55)
Recent
Correction to βOn π©π»π grouschemes and Fermat curvesβ
2024
algebraic geometry,
number theory,
mathematics,
curve theory,
publications
-torsion for unramified Artin-Schreier covers of curves
2023
algebraic geometry,
number theory,
field theory,
galois theory,
cryptography
Every π΅πβ 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
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
Bounding tangencies of sections on elliptic surfaces
2021
elliptic surfaces,
tangencies,
bounding,
sections,
curves
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
On grouschemes and Fermat Jacobians
2020
number theory,
algebraic geometry,
abstract algebra,
cryptography,
mathematical cryptography