Office: 1859 East Hall
ecanton at umich dot edu
I am a Parekh and DeSapio Family Fellow and
postdoctoral assistant professor in the Department of Mathematics at the University of Michigan.
After pursuing pure mathematics research as a graduate student,
my interests have shifted towards doing research
with mathematics instead of in mathematics.
My mathematical expertise is in algebraic geometry, commutative algebra,
homological algebra, and some parts of harmonic analysis.
My postdoctoral mentor is Mattias Jonsson.
I finished my mathematics Ph.D. at the University of Nebraska - Lincoln in 2018,
where I was advised by Wenliang Zhang.
Publications and Submitted Articles
- "Berkovich log discrepancies in positive characteristic"
Accepted, to appear in Pure and Applied Mathematics Quarterly.
- "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.
I manage my courses using Canvas.
- In Winter 2020, I'm teaching Math 412: Abstract Algebra.
- In Fall 2019, I'm teaching Math 385: Mathematics for Elementary School Teachers.
- In Winter 2019, I taught 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
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.