I am an RTG postdoctoral scholar at UC Berkeley, working with Tony Feng.
I did my PhD in mathematics at Columbia (2020-2025), where my advisor was Chao Li. (I am still in the process of transitioning from Columbia to Berkeley, which is why this website is still hosted on a Columbia server.)
My research interests are in number theory and arithmetic geometry broadly, and in particular in the Langlands program (broadly construed), Kudla's program and special cycles, and p-adic geometry.
Email: avizeff
In Fall 2025 I am teaching Introduction to Complex Analysis (Math 185). Details and materials to appear soon.
Some teaching materials (syllabi, lecture notes, homework, etc.) for classes I taught in grad school can be found here.
My PhD thesis is available here. The first part is joint work with Yujie Xu, on generic modularity of theta series for reductive dual pairs over function fields; a slightly strengthened version of these results should be available shortly. The second part studies a p-adic analogue in a special case, which I hope to explore further.
Some materials from seminars I organized in grad school (on the geometrization of real local Langlands; prismatization; the p-adic Langlands program; and the norm residue isomorphism theorem) can be found here.
Note: many of these are years old and have not been revisited, and all may contain errors. Use at your own risk. (If you do catch errors, please let me know!)
Expository writing:
Notes I took for my own benefit, which may also be useful as expository, likely for a grad student audience:
Other writing: