I am a fifth-year Ph.D. student at Boston College interested in arithmetic geometry, (derived) algebraic geometry, and homotopy theory. My current work employs many tools from $p$-adic Hodge theory, and in the future I would like to explore more tools from representation theory and equivariant stable homotopy theory. The main theme throughout my work is using prismatic methods, especially the theory of prismatization and prismatic $F$-gauges as developed by Drinfeld and Bhatt-Lurie, to construct (derived) moduli spaces of arithmetic interest. My advisor is Keerthi Madapusi. Previously, I was an undergraduate at the University of Texas at Austin, where I graduated with a B.S. in mathematics with departmental honors under the direction of Sam Raskin.
Click here to see what I’m up to currently (including a summary of my research and future directions). (Warning: Needs to be updated!)
Email me at zachary (dot) gardner (at) bc (dot) edu.
Here is my CV (last updated November 15, 2024).