Office: 312 Avery Hall

ecanton2 [at] math.unl.edu

I am a sixth year Ph.D. candidate at the University of Nebraska - Lincoln working in algebraic geometry and commutative algebra, advised by Wenliang Zhang. I research singularities and birational geometry in positive characteristic:

- "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 behavoir of singularities near the F-pure threshold"

Joint with Daniel J. Hernández, Karl Schwede, and Emily E. Witt.

Illinois Journal of Mathematics. Volume 60, No. 3-4, Fall and Winter 2016, pp. 669-685. - "A note on injectivity of Frobenius on local cohomology of hypersurfaces" (preprint).

Incorporated and expanded in the paper on complete intersections. - "Relating F-signature and F-splitting ratio of pairs using left derivatives" (preprint).

Partially incorporated into the paper on behavoir of singularities near the F-pure threshold.

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

I wrote some Macaulay2 code that can be used for exploration of F-signatures of pairs. It has essentially been incorporated into this excellent F-singularities package written by Daniel Hernández, Moty Katzman, Sara Malec, Karl Schwede, Pedro Teixeira, and Emily Witt.

I am currently teaching Math 101: College Algebra. Current students can find our course page on Canvas.

During my time at University of Nebraska, I have been an instructor of record for the following classes:

- Math 804T: Experimentation, conjecture, and reasoning. Masters in Education course.
- Landscapes in Mathematics Seminar (graduate course)
- Math 102: Trigonometry
- Math 101: College Algebra