Bio

I am an assistant professor at Lehigh University in the Computer Science and Engineering 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 have a deep understanding and appreciation for cultivating strong foundational skills in STEM fields and incorporating 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 like applied mathematics and data science. 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

• 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)
• Congratulations to Yuesheng Xu for his successful presentation on "Distributed Deep Learning Optimization Using Second-Order Methods with Dynamic Weight Sharing and Hessian Variance Reduction" at the 2024 SIAM Conference on Mathematics of Data Science. (October 2024)
• Congratulations to Rishad Islam for the acceptance of his paper "Recent Advances in Quantum Algorithms for Optimization Problems" to the Proceedings in Applied Mathematics and Mechanics, co-authored by Carr. (October 2024)
• Congratulations to Yuesheng Xu for the acceptance of his paper "A Dynamic Weighting Strategy to Mitigate Worker Node Failure in Distributed Deep Learning" at the 28th Annual IEEE High Performance Extreme Computing Conference, co-authored by Carr. (September 2024)
• Carr co-organizes "Recent Advances in Quantum Algorithms for Optimization Problems" at the 2024 SIAM Annual Meeting. (July 2024)
• Congratulations to Yixin Liu for his successful presentation on "Empirical Perturbation Analysis of Linear System Solvers from a Data Poisoning Perspective" at the 2024 European Seminar on Computing, co-authored by Carr. (June 2024)
• Read about Science Policy Fellow Carr's experience at the Spring meeting. (May 2024)
• Congratulations to Rishad Islam for his successful presentation on "Optimization of Approximate Maps for Linear Systems Arising in Discretized PDEs" at the 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics. (March 2024)
• Carr demos Sphero Fun with Robots! at the Women in Science & Engineering day. (February 2024)
• Carr named as 2024-2025 2024 SIAM Science Policy Fellow. (February 2024)

Important Announcements

• Undergraduate and masters 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. I have openings every semester for undergraduate and masters research. In all cases for Lehigh students, credit can be offered for work completed. In very exceptional cases, students from any university 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 Spring 2025 semester, but I am happy to discuss future opportunties.

Contact Information

• arg318 AT lehigh DOT edu
• Room 314, Building C
• 113 Research Drive
• Mountaintop Campus
• Bethlehem, PA 18015
• Office phone: 610-758-6492