I am a fifth-year Ph.D. student at Boston College interested in arithmetic geometry, (derived) algebraic geometry, and homotopy theory. My current work heavily employs tools from $p$-adic Hodge theory, especially the theory of prismatization and prismatic $F$-gauges as developed by Drinfeld and Bhatt-Lurie, to construct (derived) moduli stacks of arithmetic interest. In the future, I hope to further study these moduli stacks using tools from representation theory and equivariant stable homotopy theory.
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 (current and future work). (Note: Under construction!)
Email me at zachary (dot) gardner (at) bc (dot) edu.
Here is my CV (last updated March 21, 2025).