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: F-singularities and their relation to MMP singularities; Berkovich spaces;
jet spaces; and local cohomology.
You can view my CV.
Publications and Preprints
- "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
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:
Additionally, I have been a recitation TA for calculus 1 and 2.
- Math 804T: Experimentation, conjecture, and reasoning. Masters in Education course.
- Landscapes in Mathematics Seminar (graduate course)
- Math 102: Trigonometry
- Math 101: College Algebra