I am a mathematician and an Associate Editor at Mathematical Reviews.
I am interested in number theory, broadly speaking, particularly algebraic number theory. I currently work in arithmetic invariant theory and arithmetic statistics, and have explored connections with knot theory, specifically related to the Alexander module and Blanchfield pairing.
I completed my PhD at Princeton in 2014 under Manjul Bhargava. From 2014-2019 I was an NSF and Benjamin Peirce postdoctoral fellow at Harvard University.
PhD Thesis: Counting Simple Knots via Arithmetic Invariants.
See here for my older papers, mostly dating from my undergraduate years.
Notes may contain typos: please contact me with any questions or corrections.
Math 223a: Local Class Field Theory notes (pdf), 2018 website, 2017 website
Math 223b: Global Class Field Theory notes (pdf), 2019 website, 2018 website
Math 221: Graduate Algebra notes (pdf)
Math 222: Lie Groups and Lie Algebras notes (pdf)
People who might be confused with me
Allison N. Miller is a low-dimensional topologist and postdoc at Rice University.
Alison L. Miller is a developmental psychologist at the University of Michigan.