Title
Caleb McWhorter

Dr. McWhorter is from the Lake George region of New York. Although originally a violin performance major, he quickly changed interests to the sciences. He did his undergraduate in Ithaca, NY, taking classes at both Ithaca College and Cornell University. Dr. McWhorter earned his bachelors in Mathematics and Physics at Ithaca College. He then spent a year teaching at SUNY Adirondack before beginning his doctorate in Syracuse, NY. After completing his Ph.D. at Syracuse University, Dr. McWhorter joined the STAC family in Fall 2021 as an Assistant Professor of Mathematics.

Courses Taught
MATH 100, MATH 101, MATH 108, MATH 308, MATH 361

Research Interests
Dr. McWhorter studies number theory. Specifically, his research interests are in algebraic number theory and arithmetic geometry. The goal of algebraic number theory and arithmetic geometry, in general, is to understand Diophantine equations. Diophantine equations are systems of polynomial equations where only certain solutions are allowed, e.g. integer or rational solutions. Dr. McWhorter's research focuses on elliptic curves, especially their torsion subgroups. An elliptic curve is a smooth projective curve of genus one over a field K, denoted E(K). In simpler terms, an elliptic curve is the solution set to a certain type of cubic Diophantine equation that is endowed with a special addition structure. By the Mordell-Weil Theorem, an elliptic curve E(K) is a finitely generated abelian group. Dr. McWhorter studies how the abelian group E(K) (especially its torsion subgroup) varies as E and K vary. Although Dr. McWhorter focuses on studying elliptic curves, he also studies hyperelliptic curves and Galois representations. Dr. McWhorter also has a number of other mathematical interests: abelian and nonabelian chabauty methods, quantum computing, perfectoid spaces, and a number topics related to abelian varieties. He is also interested in mathematics education, especially communicating mathematics to the general public, and intersections of Mathematics and Computer Science.

Publications
Torsion Subgroups of Rational Elliptic Curves over Nonic Galois Fields (In preparation)
Torsion Subgroups of Rational Elliptic Curves over Odd Degree Galois Fields (In preparation)

Presentations
Torsion Subgroups of Rational Elliptic Curves over Odd Degree Galois Fields (BUGCAT) Torsion Subgroups of Rational Elliptic Curves over Nonic Galois Fields (Maine-Québec Number Theory Conference) Combinatorial Game Theory: NIM Games and Numbers in the Land of Oz (MGO Colloquium) Non-abelian Chabauty (ANYSRGMC)

Additional Information
Dr. McWhorter maintains a number of hobbies — mathematical and otherwise. He enjoys hiking, baking, diorama construction and playing the violin. Dr. McWhorter loves spending time programming, especially game related programming. He spends time working on a number of projects in Mathematica, Python, Blender, Unity/Unreal, etc.