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:

- log discrepancies and the structure Berkovich spaces;
- volumes of singularities and K-stability;
- multiplier ideals, test ideals, and
*F*-singularities; - positivity and vanishing theorems;
- local cohomology.

You can view my CV.

- "Berkovich log discrepancies in positive characteristic"

Updated July 2018. Submitted. - "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 - "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.

- "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.

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

I co-organized KUMUNUjr 2015, 2016, and 2017.

I was on the organizing committee for NCUWM 2018, which took place January 25-28, 2018 in Lincoln, NE.

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.