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Courses
  • SCAA
    Second Course in Abstract Algebra

  • ANT
    Algebraic Number Theory

  • SMC
    Synthesis of Mathematical Concepts

  • FMRW
    Formal Mathematical Reasoning and Writing

  • IAA
    Introduction to Abstract Algebra

  • CA
    Commutative Algebra

  • LA
    Linear Algebra

  • VC
    Vector Calculus

  • IC
    Introduction to Cryptography

  • A
    Algebra

  • ILA
    Inroduction to Linear Algebra

  • CII
    Calculus II

  • ILA
    Introduction to Linear Algebra

  • MA
    Matrix Analysis

  • FC
    Functions for Calculus

Grants
  • Funding agency logo
    Iwasawa theory of class group schemes in characteristic $p$

    Principal Investigator (PI)

    2023

    $103.7K
    Active
  • Funding agency logo
    Arizona Winter School

    Co-Investigator (COI)

    2020

    $50.0K
    Active
  • Funding agency logo
    Arizona Winter School in Arithmetic Geometry

    Principal Investigator (PI)

    2019

    $550.0K
    Active
  • Funding agency logo
    Motivic Class Groups and Iwasawa Theory of Function Fields

    Principal Investigator (PI)

    2019

    $180.0K
    Active
  • Funding agency logo
    Arizona Winter School

    Co-Investigator (COI)

    2019

    $25.0K
  • Funding agency logo
    Southwest Center for Arithmetic Geometry Winter School

    Principal Investigator (PI)

    2018

    $100.0K
  • Funding agency logo
    Conferences and Meetings: Southwest Center for Arithmetic Geometry

    Principal Investigator (PI)

    2015

    $550.0K
  • Funding agency logo
    Program Income for Account 3015410 (Conferences and Meetings: Southwest Center for Arithmetic Geometry)

    Principal Investigator (PI)

    2015

    $145.0K
  • Funding agency logo
    Integral p-adic Hodge Theory and Geometry

    Principal Investigator (PI)

    2015

    $28.0K
  • Funding agency logo
    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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