Office: 312 Avery Hall

ecanton2 [at] math.unl.edu

I am a graduate student entering my sixth year, working in algebraic geometry and commutative algebra. My current interests center on singularity theory and birational geometry in positive characteristic:

Code for Math 804T Summer 2017:

- "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.

To appear in the Illinois Journal of Mathematics. - "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.

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)
- Trigonometry
- College Algebra