Eric Canton

Photo credit: Allison Beemer
Office: 1859 East Hall
ecanton at umich dot edu

I am a Parekh Family Fellow and postdoctoral assistant professor at the University of Michigan. I work in algebraic geometry and commutative algebra, with a focus on:
  1. log discrepancies and the structure Berkovich spaces;
  2. volumes of singularities and K-stability;
  3. multiplier ideals, test ideals, and F-singularities;
  4. positivity and vanishing theorems;
  5. local cohomology.
My postdoctoral mentor is Mattias Jonsson. I finished my Ph.D. at the University of Nebraska - Lincoln in 2018, where I was advised by Wenliang Zhang.
You can view my CV.
Publications and Submitted Articles
  1. "Berkovich log discrepancies in positive characteristic"
      Updated July 2018. Submitted.
  2. "A note on injectivity of Frobenius on local cohomology of global complete intersections"
     Journal of Pure and Applied Algebra, Vol. 220, Issue 8, August 2016. pp. 2879-2885
  3. "On the behavior of singularities near the F-pure threshold" Joint with Daniel J. Hernández, Karl Schwede, and Emily E. Witt.
     Illinois Journal of Mathematics, Vol. 60, No. 3-4, Fall and Winter 2016. pp. 669-685.
Preprints
  1. "Relating F-signature and F-splitting ratio of pairs using left derivatives"
     Undergraduate thesis, advised by Karl Schwede. This has been partially incorporated into the paper on behavior of singularities near the F-pure threshold.

Teaching
  1. In Winter 2019, I'm teaching Math 487: Algebra and Number Theory for Secondary Teachers.
  2. In Fall 2018, I taught Math 385: Mathematics for Elementary School Teachers.

KUMUNUjr
I co-organized KUMUNUjr 2015, 2016, and 2017.
Nebraska Conference for Undergraduate Women in Mathematics (NCUWM)
I was on the organizing committee for NCUWM 2018, which took place January 25-28, 2018 in Lincoln, NE.
Code
I wrote some Macaulay2 code that can be used for exploration of F-signatures of pairs. It has essentially been incorporated into this F-singularities package.