I'm broadly interested in differential geometry and index theory. My current research is focused on index theory on non-compact spaces via heat equation methods, and related geometric invariants. My advisor is Pierre Albin.

Conferences you may have met me at

• GLaMP 2025 (University of Kentucky)
• GSTGC 2025 (University of Indiana Bloomington)
• 30th SCGAS (University of California Irvine)
• From Global to Microlocal Analysis (MIT)
• GLaMP 2024 (Michigan State University)
• Workshop on analysis on singular spaces and index theory (University of Auckland, remote)
• 2023 Midwest Topology Seminar (UIUC)

Contact

alext3 (at) illinois.edu