Haoyang Guo

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)

  1. Math 105 (primary instructor): Fall 2017, Winter 2018.

  2. Math 115 (primary instructor): Fall 2018, Winter 2019, Fall 2020 (remote), Winter 2021 (remote).

  3. Math 216 (lab instructor): Fall 2019; course instructor: Sofia Piltz.

  4. Math 498, Representation theory (grader): Winter 2017; instructor: Jessica Fintzen.

  5. Math 602, Functional analysis (grader): Fall 2016; instructor: Sijue Wu.

  6. Math 676, Algebraic number theory (grader): Fall 2016; instructor: Kartik Prasanna.

Papers/Preprints

  1. Hodge-Tate decomposition for non-smooth spaces. Sep 2019, preprint. Updated version; arXiv: 1909.09917. To appear in J. Eur. Math. Soc.

  2. Period sheaves via derived de Rham cohomology (with Shizhang Li). 2020, preprint. arXiv: 2008.06143. To appear in Compos. Math.

  3. Crystalline cohomology of rigid analytic spaces. 2020. PDF.

Expository Writings

  1. On nearby cycle and perversity, an expository article on BBDG. Mar 2021. PDF.

  2. HH, HKR; THH, and BMS 2, an expository article on (topological) Hochschild homology. May 2020. PDF.

  3. Several approaches to Grothendieck duality. Jan 2020. PDF.

  4. On the integral Hodge conjecture and integral Tate conjecture 3-folds, from a talk at Michigan. Dec 2019. PDF.

  5. There is no abelian schemes over Z. Apr 2019. PDF.

  6. Family of elliptic curves, and Serre-Tate theorem, from a talk at Michigan. Jun 2019. PDF.

  7. Introduction to the de Jong's Alteration, from a talk at Michigan. Dec 2018. PDF.

  8. Riemann-Zariski spaces and Nagata’s compactification, from a talk at Michigan. Oct 2018. PDF.

  9. A note on de Jong’s conjecture, from a talk at Michigan. Jun 2018. PDF.

  10. A mini-course on crystalline cohomology. Jun 2018. PDF.

  11. F-finite modules, from a talk at Michigan. Mar 2018. PDF.

  12. Note on finiteness properties of D-modules, from a talk at Michigan. Nov 2017. PDF.

  13. "Spreading out” and its applications, from a talk at Michigan. Feb 2017. PDF.