Office: 1859 East Hall
ecanton at umich dot edu
Math Club Jupyter (Python) code
Here's the Jupyter Notebook I used to make the graphs displayed
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 Family Fellow and
postdoctoral assistant professor at the University of Michigan.
I am interested in algebraic geometry, commutative algebra, and homological algebra.
Through my work on singularities, I have gained a strong interest in harmonic analysis as well.
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
- "Berkovich log discrepancies in positive characteristic"
Updated June 2019. 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
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