About me
About me
Teaching
I am a postdoctoral scholar in mathematics at the University of California, San Diego, where I am working with Professor Kiran Kedlaya. I finished my PhD in 2015 at Indiana University under the supervision of Professor Matthias Strauch. I completed my BA at Swarthmore College.
You can view my curriculum vitae.
Contact
Department of Mathematics
University of California, San Diego
9500 Gilman Drive #0112
La Jolla, CA 92093-0112
E-mail atcarter@ucsd.edu
Research
My research belongs to the field of algebraic number theory. Specifically, I study (φ,Γ)-modules, a concept used to study p-adic Galois representations via Jean-Marc Fontaine's equivalence between étale (φ,Γ)-modules and continuous Zp-representations. Recently, I have been working to extend work of Gergely Zábrádi on multivariable (φ,Γ)-modules, and to show that such modules are overconvergent. In my PhD thesis, I examined whether there exists a theory of (φ,Γ)-modules for the Lubin-Tate tower of deformation spaces of formal modules. This work drew on recent work by Anthony Scholl, which gives criteria under which there exists such a theory of (φ,Γ)-modules.
For more details, see my research statement.
I am currently a postdoctoral scholar at the University of California, San Diego, where I have taught the following courses:
• MATH 20B Calculus for Science and Engineering (Fall 2017)
• MATH 103B Modern Algebra II (Spring 2017)
• MATH 10C Calculus III (Winter 2017)
• MATH 103A Modern Algebra I (Fall 2016)
• MATH 10B Calculus II (Spring 2016)
• MATH 10A Calculus I (Winter 2016)
• MATH 20C Calculus and Analytic Geometry for Science and Engineering (Fall 2015)
I was previously an associate instructor at Indiana University, where I taught the following courses:
• MATH-J 113 Introduction to Calculus with Applications (Spring 2015, Spring 2014)
• MATH-J 110 Introduction to Problem Solving (Summer 2014, Summer 2013)
• MATH-D 116 Introduction to Finite Math I (Fall 2013)
• MATH-T 103 Math for Elementary Teachers 3 (Spring 2013, Fall 2012)
• MATH-J 010 Introduction to Algebra (Summer 2012, Summer 2011)
• MATH-M 025 Pre-Calculus Mathematics (Spring 2011, Summer 2010)
I also served as LaTeX consultant for Indiana’s Research Experience for Undergraduates.
Preprints
• “Overconvergence of Multivariable (φ,Γ)-Modules,” in preparation.
• “Lubin-Tate Deformation Spaces and (φ,Γ)-Modules,” in preparation.