Caroline Semmens
csemmens@uark.edu
I am a 5th year PhD candidate advised by Dr. Lance Edward Miller at University of Arkansas. I have a Master's and Bachelor of Science in Mathematics from California Polytechnic University in San Luis Obispo (Cal Poly).
I am currently serving as the Organizer of the Graduate Student Colloquium at the University of Arkansas. I was an officer in the Graduate-Professional Student Congress at the University of Arkansas for the 2024/25 academic year.
My Master's Thesis, titled "An Introduction into Fröberg's Conjecture" was completed under the supervision of Dr. Ben Richert of Cal Poly.
I grew up in Northern California, near Lake Tahoe, and was on my high school alpine ski team. My sister lives in New Orleans so when not in school I am usually found in Tahoe or New Orleans.
I love dogs have have grown up with 3 labs. I brought my dog Charlie (featured above) with me to graduate school.
My family are big travelers and I have been lucky enough to visit 30 countries. While an undergraduate I studied abroad in Prague, Czech Republic. Most recently I visited Kenya and Tanzania.
When not traveling I like to cook, read, hike, and host events. I love to spend time with my friends and family.
Arithmetic geometry: elliptic curves, modular curves, arithmetic differential equations, p-derivations, isogeny classes, p-adic and δ-modular forms.
Algebraic Geometry: Jet Spaces, varieties, schemes, singularities
Number Theory
Graduate Teaching Assistant August 2023 – Present
University of Arkansas Fayetteville, AR
• Instructor of record
∗ College Algebra with Review: Fall 2023, Fall 2024, Fall 2025, Fall 2026
∗ College Algebra: Spring 2026
∗ Quantitative Reasoning: Spring 2024, Spring 2025
∗ Survey of Calculus Summer: 2024
• Drill instructor
∗ Pre-Calculus: Fall 2022 and Spring 2023
• Graduate Tutor for Math Department
∗ Graduate Abstract Algebra tutor: Spring 2025, Summer 2025, Fall 2025, Spring 2026, Summer 2026
Graduate Teaching Assistant January 2021 – June 2022
California Polytechnic University San Luis Obispo, CA
• Instructor of record:
∗ Pre-Calculus Winter 2021-Spring 2022
• Grader:
∗ Calculus II Fall 2019
∗ Linear Analysis Spring 2019 - Winter 2021
∗ Linear Algebra II Spring 2021
∗ Methods of Proofs Summer 2021