Email: hguo "at" mpim-bonn "dot" mpg "dot" de
I am interested in algebraic geometry and number theory, especially p-adic geometry and p-adic Hodge theory.
I obtained my PhD in mathematics from the University of Michigan in the spring, 2021, where my advisor was Bhargav Bhatt. Before that, I got my bachelor degree from the University of Science & Technology of China in 2016.
Starting the fall 2021, I will join the MPIM at Bonn, Germany as a postdoc for the next two years.
Teachings (at Michigan)
Math 105 (primary instructor): Fall 2017, Winter 2018.
Math 115 (primary instructor): Fall 2018, Winter 2019, Fall 2020 (remote), Winter 2021 (remote).
Math 498, Representation theory (grader): Winter 2017; instructor: Jessica Fintzen.
Math 602, Functional analysis (grader): Fall 2016; instructor: Sijue Wu.
Math 676, Algebraic number theory (grader): Fall 2016; instructor: Kartik Prasanna.
Crystalline cohomology of rigid analytic spaces. 2020. PDF.
On nearby cycle and perversity, an expository article on BBDG. Mar 2021. PDF.
HH, HKR; THH, and BMS 2, an expository article on (topological) Hochschild homology. May 2020. PDF.
Several approaches to Grothendieck duality. Jan 2020. PDF.
On the integral Hodge conjecture and integral Tate conjecture 3-folds, from a talk at Michigan. Dec 2019. PDF.
There is no abelian schemes over Z. Apr 2019. PDF.
Family of elliptic curves, and Serre-Tate theorem, from a talk at Michigan. Jun 2019. PDF.
Introduction to the de Jong's Alteration, from a talk at Michigan. Dec 2018. PDF.
Riemann-Zariski spaces and Nagata’s compactification, from a talk at Michigan. Oct 2018. PDF.
A note on de Jong’s conjecture, from a talk at Michigan. Jun 2018. PDF.
A mini-course on crystalline cohomology. Jun 2018. PDF.
F-finite modules, from a talk at Michigan. Mar 2018. PDF.
Note on finiteness properties of D-modules, from a talk at Michigan. Nov 2017. PDF.
"Spreading out” and its applications, from a talk at Michigan. Feb 2017. PDF.