Eric Canton

Photo credit: Allison Beemer
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: F-singularities, Berkovich spaces, jet spaces, and local cohomology. You can look at my CV.
Code for Math 804T Summer 2017:
  1. Generalized Fibonacci sequence explorer (Python)

Publications and Preprints
  1. "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
  2. "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.
  3. "A note on injectivity of Frobenius on local cohomology of hypersurfaces" (preprint).
     Incorporated and expanded in the paper on complete intersections.
  4. "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.

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


Teaching
During my time at University of Nebraska, I have been an instructor of record for the following classes:
  1. Math 804T: Experimentation, conjecture, and reasoning. Masters in Education course.
  2. Landscapes in Mathematics Seminar (graduate course)
  3. Trigonometry
  4. College Algebra
Additionally, I have been a recitation TA for calculus 1 and 2.