I am currently a temporary assistant professor at the University of Hawai‘i at Mānoa. Previously I was a postdoctoral scholar in mathematics at the University of California, San Diego, where I worked 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.
Department of Mathematics
University of Hawai‘i at Mānoa
2565 McCarthy Mall (Keller Hall 401A)
Honolulu, HI 96822
I am currently a temporary assistant professor at the University of Hawai‘i at Mānoa, where I have taught the following courses:
- MATH 611 Modern Algebra (fall 2020)
- MATH 243 Calculus III (spring 2020, fall 2019, spring 2019)
- MATH 311 Introduction to Linear Algebra (spring 2020)
- MATH 112 Math for Elementary Teachers II (fall 2019)
- MATH 420 Introduction to the Theory of Numbers (spring 2019)
- MATH 242 Calculus II (fall 2018)
- MATH 321 Introduction to Advanced Mathematics (fall 2018)
I was previously a postdoctoral scholar at the University of California, San Diego, where I taught the following courses:
- MATH 103A Modern Algebra I (summer 2018, fall 2016)
- MATH 20D Introduction to Differential Equations (spring 2018)
- MATH 109 Mathematical Reasoning (winter 2018)
- MATH 20B Calculus for Science and Engineering (fall 2017)
- MATH 103B Modern Algebra II (spring 2017)
- MATH 10C Calculus III (winter 2017)
- MATH 10B Calculus II (spring 2016)
- MATH 10A Calculus I (winter 2016)
- MATH 20C Calculus and Analytic Geometry for Science and Engineering (fall 2015)
Prior to that I was 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.
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 with Kiran Kedlaya and Gergely Zábrádi to extend Fontaine’s equivalence to multivariate (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 of Anthony Scholl, which gives criteria under which such a theory of (φ,Γ)-modules exists.
For more details, see my research statement.
- Drinfeld’s Lemma for Perfectoid Spaces and Overconvergence of Multivariate (φ,Γ)-Modules, with Kiran Kedlaya and Gergely Zábrádi, submitted
- Lubin-Tate Deformation Spaces and Fields of Norms, with Matthias Strauch, submitted