Office: 1859 East Hall
ecanton at umich dot edu
Math Club Jupyter (Python) code
Here's the Python code (and a Jupyter Notebook) I used to make the
during my recent Michigan Math Club Talk. Here's the needed list of
10,000 prime numbers (credit: Prime Pages at University of Tennessee Martin).
You may also want to play with the Desmos Graph I made.
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.
- 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.
I wrote some Macaulay2 code that can be used for
exploration of F-signatures of pairs. It has essentially been incorporated