Bio

I am an assistant professor at Lafayette College in the Mathematics Department. My research focus is in the fields of applied linear algebra, applied numerical analysis, and scientific computing. I earned my PhD in math from Virginia Tech in 2021, a BS (2012) and MS (2015) in math with a minor in computer science from VT, and a BA (2008) in sociology with a minor in education from Roanoke College. I am an expert in iterative methods for solving large linear systems and eigenproblems. In particular, I work with Krylov subspace methods and preconditioning techniques to develop novel and innovative algorithms that achieve efficient and accurate solutions to important problems in a wide range of fields in science and engineering. Recently, I have extended this to applications arising in emerging and novel technologies such as quantum computing and machine learning. I am also an experienced educator with over ten years teaching undergraduate and graduate courses in mathematics and computer science. Having previously taught middle and high school mathematics, I retain a deep understanding and appreciation for cultivating strong foundational skills in STEM fields and incorporate pedagogical approaches in my collegiate classrooms that build on techniques learned when teaching at the secondary level. I have a strong passion for promoting the success of underrepresented people in different fields, particularly for women in traditionally male fields such as applied mathematics. I dedicate my professional service to efforts that directly address this lack of representation, drawing on my experience studying and researching gender roles in the workplace in my undergraduate studies.

Recent News and Announcements

• SIAM members: Keep an eye out for a survey on gender equity in funding. Announcements will be made through several SIAG groups, and the link will also be provided on this page. This is joint work with Kallie Pearl (Lehigh, CSE). (October 2025)
• Arielle Carr is on leave for the Fall 2025 semester. You may contact her via email, but please expect delays in her response time. She will return to full-time activities at the end of January 2026. (September 2025)
• Congratulations to Tamás Terlaky (Lehigh) and co-PIs Luis Zuluaga (Lehigh), David Bernal Neira (Purdue), Giacomo Nannicini (USC), and Arielle Carr on their $550K grant from the National Science Foundation (NSF), titled "Hybrid Quantum Algorithms for Structured Optimization Problems in Process Systems Engineering". (July 2025)
• Carr accepts position as assistant professor with the Mathematics Department at Lafayette College. Go Pards! (July 2025)
• Check out a preprint of "DEF: Diffusion-augmented Ensemble Forecasting", with lead author David Millard (RIT), and co-authored by Carr, Stéphane Gaudreault (ECCC), and Ali Baheri (RIT). (June 2025)
• Check out a preprint of "PEARL: Preconditioner Enhancement through Actor-critic Reinforcement Learning", with lead author David Millard (RIT), and co-authored by Carr, Stéphane Gaudreault (ECCC), and Ali Baheri (RIT). (March 2025)
• Carr joins the Faculty Advisory Board for the Office of Educational Innovation and Assessment at Lehigh. (January 2025)
• Congratulations to Diep Luong and her co-authors Alex Clevenger, Luke Hale, and Michael Speckhart for the successful submission of their paper "Optimizing Matrix Operations and Linear System Solver with Compressed Sparse Row Format and Parallelization" to SIAM's Undergraduate Research Journal, SIURO! This paper is based on work done during the 2023 capstone seminar course and represents a year of hard work and collaboration. Good luck! (A draft of the paper can be found here.) (January 2025)
• Congratulations to Rishad Islam and Mahir Enan for their successful application to the Rossin Research Scholars program as PhD mentor and undergraduate research scholar, respectively. (January 2025)
• Congratulations to David Millard for the acceptance of his paper "Data-Driven Initial Guess Selection for Numerical Weather Prediction Solvers" to the REU Symposium hosted at the 2024 IEEE International Conference on Big Data. (November 2024)
• Congratulations to David Millard for the acceptance of his paper "Deep Learning for Koopman Operator Estimation in Idealized Atmospheric Dynamics" to the 2024 IEEE International Conference on Big Data, co-authored by Carr. (October 2024)

Call for Undergraduate Researchers

• Undergraduate students, are you looking for research opportunities? Research affords you the opportunity to learn outside of the constraints of a course, or textbook, or homework assignment. It provides you with valuable experience that ultimately supports a wide range of careers in both academia and industry. For those of you with ambition to pursue graduate study, undergradaute reserach allows you to experience the rigors -- and joys -- of academic research, while also augmenting your dossier meaningfully and competitively when applying to schools. I have openings every semester for undergraduate research. In all cases, credit can be offered for work completed. In exceptional cases, students may earn a competitive stipend. Please navigate to my Research page for a description of current projects, and my Papers page for a list of current and past students' projects. If you are interested in working with me, reach out as soon as possible to ensure full consideration for a spot for the semester. I do not currently have any active openings for the Fall 2025 semester while I am on leave, but I will to begin recruiting students in the Spring 2026 semester to start projects as early as Fall 2026.

Contact Information

• carra AT lafayette DOT edu
• Pardee Hall P210
• Easton, PA 18042
• Office phone: 610-330-5272