Tannon Warnick
I'm an undergraduate honors student in mathematics at the University of Utah, working in number theory, algebraic geometry, and representation theory. I am most interested in topics in elliptic curves, complex multiplication, and torsion fields.
About
My current work centers on the arithmetic of torsion points on elliptic curves with complex multiplication. My honors thesis studies curves admitting CM by the Gaussian integers ℤ[i], using explicit division polynomials to determine the Galois structure of torsion fields. A recent paper extends this to Eisenstein integer multiplication and the hexic symmetries that appear there. See the research page for details, abstracts, and PDFs. My interests in mathematics are vast and far reaching, from Algebra to algebraic geometry to manifold theory to representation theory.
Recent
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On Eisenstein Integer Torsion Fields of Elliptic Curves with Hexic Symmetries
Division polynomials and Galois structure for CM elliptic curves over ℤ[ω].