Andrew Campbell

Teaching areas
Probability, analysis, linear algebra, calculus

Research interests
Random matrices, random polynomials, free probability and finite free probability (the intersections of these fields)

Publications

• A. Campbell. Free infinite divisibility, fractional convolution powers, and Appell polynomials. Documenta Mathematica. (2026), published online first. DOI 10.4171/DM/1071 
• A. Campbell, G. Cipolloni, L. Erdős, and H.C. Ji. On the spectral edge of non-Hermitian random matrices. Annals of Probability (2025). DOI: 10.1214/25-AOP1761 
• A. Campbell, S. O’Rourke, and D. Renfrew. The fractional free convolution of R-diagonal operators and random polynomials under repeated differentiation. International Mathematics Research Notices (2024). DOI: 10.1093/imrn/rnae062

Why Lafayette? 

I chose to come to Lafayette to work closely with students and provide opportunities for them to interact meaningfully with math. Math should provide chances for people to connect by working on challenging and rewarding problems. I think to enjoy math you need to internalize the concepts and believe these ideas are worth learning. The culture at Lafayette convinced me that I would have the space and resources to build a community  where we work together as a class in order to solve challenging problems. I also want my students to leave viewing math not just as a useful tool for solving technical problems, but as a way of thinking abstractly, an approach well suited for a liberal arts environment like Lafayette.