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Douglas Ulmer
Member of the Graduate Faculty | Department Head, Mathematics | Professor, Mathematics
Mathematics
Map Page
Research Area
algebraic geometry,
number theory,
mathematics,
function fields,
elliptic curves,
group theory,
cryptography,
abstract algebra,
geometry,
curves,
algebra,
field theory,
arithmetic,
curve theory
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
Collaborations
(9)
Hao Zhang
Mutual work: 1 Proposal
Collaboration Details
Nirav Merchant
Mutual work: 1 Proposal
Collaboration Details
Michael Chertkov
Mutual work: 1 Proposal
Collaboration Details
Shankar Venkataramani
Mutual work: 1 Proposal
Collaboration Details
Joseph Watkins
Mutual work: 1 Proposal
Collaboration Details
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News
(4)
UArizona Mathematician and Cosmologist Awarded Sloan Research Fellowships
2021
Lecture Series Honors UA Doctoral Student, Study of Math
2008
UA Receives $3.5 Million to Improve Advanced Math Education
2006
Spotlight on Teaching: Practical Application Focus of Business Math Courses
2000
8+ Collaborators
$63K / $63K Funding
50+ Publications
