I'm broadly interested in differential geometry, geometric analysis, index theory, and geometric flows. My current research is focused on index theory on non-compact spaces using heat equation methods and related topological and spectral invariants.

Conferences you may have met me at

• Midwest Topology Seminar 2023 (UIUC)
• Workshop on analysis on singular spaces and index theory (University of Auckland, remote)
• GLAMP 2024 (Michigan State University)
• From Global to Microlocal Analysis (MIT)
• 30th SCGAS (UC Irvine)

Contact

alext3 (at) illinois.edu