Professor of Practice
Packard Lab, 200B
19 Memorial Drive West
Bethlehem, PA 18015

Phone Number: 
(610) 758-6492
Arielle Carr

Areas of Research

Applied Linear Algebra
Numerical Analysis
Preconditioners and Preconditioner Updates
Krylov Subspace Methods and Recycling Techniques


Professor of Practice in Lehigh University's Computer Science and Engineering Department. I am the recipient of the Lehigh Early Career Award for Distinguished Teaching for 2020.

I teach theoretical concepts in computation and complexity theory as well as introductory and intermediate-level programming in Java and discrete math. My pedagogical interests are in strengthening understanding of and appreciation for theoretical concepts in a computer science curriculum as they are learned in early course courses and developed through culminating courses in requisite courses and in-major electives. My pedagogical outreach focuses on the promotion and retention of women in the computer and data science major.

I am also a PhD candidate in mathematics at Virginia Tech with an expected completion date of Spring 2021. I have proven success working collaboratively on projects heavily focused on algorithm development and implementation and I possess strong leadership and communication skills . My research focus is recycling techniques with an aim to achieve fast convergence in the iterative solution of large, sparse linear systems, using both preconditioner updates as well as subspace recycling. Since 2012, I have been an active member of and contributing presenter to the Society for Industrial and Applied Mathematics


Ph.D., Mathematics, Virginia Tech, 2021 (expected)
M.S., Mathematics, Virginia Tech, 2015
B.S., Mathematics and Minor in Computer Science, Virginia Tech, 2012