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

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