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Courses
- SCAASecond Course in Abstract Algebra
- ANTAlgebraic Number Theory
- SMCSynthesis of Mathematical Concepts
- FMRWFormal Mathematical Reasoning and Writing
- IAAIntroduction to Abstract Algebra
- CACommutative Algebra
- LALinear Algebra
- VCVector Calculus
- ICIntroduction to Cryptography
- AAlgebra
- ILAInroduction to Linear Algebra
- CIICalculus II
- ILAIntroduction to Linear Algebra
- MAMatrix Analysis
- FCFunctions for Calculus
Grants
- Iwasawa theory of class group schemes in characteristic $p$
Principal Investigator (PI)
2023
$103.7K
Active - Arizona Winter School
Co-Investigator (COI)
2020
$50.0K
Active - Arizona Winter School in Arithmetic Geometry
Principal Investigator (PI)
2019
$550.0K
Active - Motivic Class Groups and Iwasawa Theory of Function Fields
Principal Investigator (PI)
2019
$180.0K
Active - Arizona Winter School
Co-Investigator (COI)
2019
$25.0K
- Southwest Center for Arithmetic Geometry Winter School
Principal Investigator (PI)
2018
$100.0K
- Conferences and Meetings: Southwest Center for Arithmetic Geometry
Principal Investigator (PI)
2015
$550.0K
- Program Income for Account 3015410 (Conferences and Meetings: Southwest Center for Arithmetic Geometry)
Principal Investigator (PI)
2015
$145.0K
- Integral p-adic Hodge Theory and Geometry
Principal Investigator (PI)
2015
$28.0K
- FRG: Collaborative Research: Chern classes in Iwasawa Theory
Principal Investigator (PI)
2014
$180.0K
Publications (23)
Recent
- Iwasawa theory for p-torsion class group schemes in characteristic p
2022
- p-torsion of unramified Z/pZ-covers
2021
- Dualizing cohomology and Dieudonne modules of singular curves
2020
- A-numbers of curves in Artin ndash;Schreier covers
2020
- Iwasawa Theory for Function Fields
2020
- A Motivic Deuring Shafarevich formula
2020
- a-Numbers in Artin-Schreier Covers
2019
- Corrigendum to ldquo;Breuil ndash;Kisin modules via crystalline cohomology rdquo;
2019
- Frobenius filtration and torsion comparison for small weights
2019
- Perfectoid Spaces: Lectures from the 2017 Arizona Winter School
2019
- The geometry of Hida families II: $\Lambda$-adic $(\varphi,\Gamma)$-modules and $\Lambda$-adic Hodge theory
2018
- The Geometry of Hida families I: $\Lambda$-adic de Rham cohomology
2018
- Breuil--Kisin modules via crystalline cohomology
2018
- Dieudonn\'e crystals and Wach modules for $p$-divisible groups
2017
- Breuil-Kisin Modules via crystalline cohomology
2017
- On $F$-crystalline representations
2016
- Canonical Cohen Rings for Norm Fields
2014
- On the $U_p$ operator in characteristic $p$
2014
- A characterization of strictly APF extensions
2014
- Random Dieudonn\'e modules, random $p$-divisible groups, and random curves over finite fields
2013
- Canonical extensions of N\'eron models of Jacobians
2010
- CANONICAL INTEGRAL STRUCTURES ON THE DE RHAM COHOMOLOGY OF CURVES
2009
- Modular curves and Ramanujan s continued fraction
2006
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