I am a postdoctoral researcher in the Argonne Leadership Computing Facility (ALCF) at Argonne National Laboratory in Lemont, IL. Previously, I was an NSF RTG postdoctoral researcher at Emory University where I work primarily with James Nagy and Julianne Chung. I obtained my Ph.D. in Applied Mathematics from Kent State University in Kent, OH. My advisors were Lothar Reichel and Alessandro Buccini.

Broadly speaking I work on computational inverse problems which typically require regularization strategies to compute meaningful solutions.  Applications I've worked on include dynamic imaging, reconstruction of cosmological anomalies, and integral equations of the first kind. See my research page for the most current interests and directions.

Josh successfully defends his Ph.D. dissertation: Randomized Block Krylov Methods in front of friends and family (and his committee!). Very proud to have been a part of his academic journey as an co-advisor and friend!

Lothar Reichel (left) and Dr. Kane (right) after graduation in August 2026.

I co-organized the Next-Gen Advancements in Inverse Problems: Ideas and Innovations from Early-Career Researchers minisymposium in Montreal with Elle Busar (right front row) and Emma Hart (middle front row). We had 11 amazing speakers from 8 different universities whom were all either graduate students or postdoctoral researchers.

Moshen successfully defends his 2024-2025 Honors thesis work: On the Choice of Subspace for the Quasi-minimal Residual Method for Linear Inverse Problems. He will start graduate studies at Johns Hopkins University this fall - nice job Moshen!