Profile Photo of Alex Scheffelin

Alex Scheffelin

PhD Candidate in Mathematics at Columbia University

About Me

I am a 5th year PhD student in Mathematics at Columbia University, studying under Johan de Jong. I am on the job market this year. My research interests lie between commutative algebra and algebraic geometry, with a particular focus on local cohomology. More specifically, I like to use geometric methods to investigate algebraic problems. At the moment this has to do with local cohomology of regular local rings, with a focus on mixed characteristic. I have begun thinking about other mixed characteristic topics as well.

Prior to attending Columbia University, I completed my B.S. in Mathematics at the University of Washington. During the summer of 2026, I was a visiting student at the University of Tokyo working with Shunsuke Takagi and Kazuma Shimomoto.

Contact: ams2637@columbia.edu

Preprints & Research

The Second Vanishing Theorem in Ramified Mixed Characteristic
Alex Scheffelin
Preprint, 2026.

I prove the last remaining case of the Second Vanishing Theorem for local cohomology in ramified mixed characteristic.

[arXiv:2606.26867]

Selected Teaching Experience