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Profile
Bryden Cais
Professor | Member of the Graduate Faculty
Mathematics
Overview
Research
More
Collaboration
(2)
Hang Xue
Mutual work: 2 Proposals﹒2 Grants
Collaboration Details
Douglas Ulmer
Mutual work: 2 Publications
Collaboration Details
Grants
(12)
Iwasawa theory of class group schemes in characteristic $p$
Active
·
2023
·
$213.4K
·
External
Principal Investigator (PI)
number theory,
algebraic geometry,
class field theory,
arithmetic geometry,
group theory
Motivic Class Groups and Iwasawa Theory of Function Fields
Active
·
2019
·
$180K
·
External
Principal Investigator (PI)
algebraic geometry,
arithmetic geometry,
number theory,
iwasawa theory,
function fields
Arizona Winter School
2020
·
$35K / $50K
·
External
Co-Investigator (COI)
mathematics,
education,
seasonal studies,
geography,
climate science
Arizona Winter School in Arithmetic Geometry
2019
·
$544.5K / $550K
·
External
Principal Investigator (PI)
arithmetic geometry,
winter school,
arizona,
mathematics education,
geometry
Arizona Winter School
2019
·
$5K / $25K
·
External
Co-Investigator (COI)
mathematics,
geometry,
education,
physics,
computer science
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Publications
(22)
Recent
Iwasawa theory for p-torsion class grouschemes in characteristic p
2022
iwasawa theory,
p-torsion class groups,
schemes,
characteristic p,
algebraic number theory
p-torsion of unramified ZZ-covers
2021
algebraic geometry,
number theory,
field theory,
algebraic topology,
group theory
A Motivic Deuring Shafarevich formula
2020
algebraic geometry,
number theory,
elliptic curves,
cohomology theory,
modular forms
Iwasawa Theory for Function Fields
2020
algebraic geometry,
number theory,
iwasawa theory,
function fields,
modular forms
A-numbers of curves in Artin Schreier covers
2020
algebraic geometry,
number theory,
cryptography,
mathematics,
topology
Dualizing cohomology and Dieudonne modules of singular curves
2020
cohomology,
dieudonne modules,
singular curves,
dualizing,
algebraic geometry
Perfectoid Spaces: Lectures from the 2017 Arizona Winter School
2019
algebraic geometry,
number theory,
arithmetic geometry,
mathematical analysis,
geometry
Corrigendum to ldquo;Breuil Kisin modules via crystalline cohomology rdquo;
2019
algebraic geometry,
number theory,
mathematical physics,
cohomology,
mathematical research
Frobenius filtration and torsion comparison for small weights
2019
algebraic geometry,
number theory,
modular forms,
representation theory,
group theory
a-Numbers in Artin-Schreier Covers
2019
number theory,
algebraic geometry,
cryptography,
field theory,
mathematical structures
