Alex Hof. "Milnor Fiber Consistency via Flatness",A paper with my PhD results on the algebraic control of the behavior of a holomorphic function's local smooth fibers under perturbation. Journal of Topology 18 (2025), e70014. (doi, pub, arX)
Alex Hof, James Shade, Wes Whiting. "Solvable Leibniz Algebras with Quasi-Filiform Split Lie Nilradical",A paper with a classification result for a certain kind of non-associative algebra which my co-authors and I wrote as part of an undergraduate research program. Uzbek Mathematical Journal 3 (2017), pp. 159-168. (pub)
Alex Hof. "Milnor Fiber Consistency via Flatness".A more exposition-focused treatment of the main results of the above paper of the same name. Chapter 2, which discusses applications of normal cones in algebraic geometry, may also be of independent interest. PhD Thesis (2023). (pdf)
Alex Hof. "Chain Partitions of the Boolean Lattice".My undergraduate thesis in combinatorics, which focuses mainly on expositing and refining results of István Tomon on chain partitions. Undergraduate Thesis in Mathematics (2018). (pdf)
Alex Hof. "Quantum Finite Automata and the Recognition of the Regular Languages: A Survey".A survey on analogues of deterministic finite automata in quantum computing which I wrote as an undergraduate senior exercise. Undergraduate Exercise in Computer Science (2017). (pdf)