My interests are in commutative algebra and its interactions with algebraic geometry and category theory.
E-mail: hongmiao DOT yu AT polito DOT it
Mailing address: Dipartimento di Scienze Matematiche "Giuseppe Luigi Lagrange", Corso Duca degli Abruzzi, 24, 10129 Torino, ITALY
- Since 12/2025: Postdoctoral Fellow, Politecnico di Torino, Turin, Italy.
- 12/2024-10/2025: Postdoctoral Fellow, Vietnam Institute for Advanced Study in Mathematics, Hanoi, Vietnam.
- 05/2022-05/2024: Postdoctoral Fellow, Università degli Studi di Genova, Genoa, Italy.
- 11/2018- 08/2022: PhD in Mathematics, Università degli Studi di Genova, Genoa, Italy. Thesis title: Liaison by Quasi-Gorenstein Ideals and N-fiber-full Modules. Advisor: Prof. Matteo Varbaro.
- 09/2015-07/2018: Master in Mathematics, Università degli Studi di Genova, Genoa, Italy. Thesis title: Liaison and Duality. Thesis supervisor: Prof. Matteo Varbaro.
- 09/2013-03/2016: Bachelor in Mathematics, Università degli Studi di Genova, Genoa, Italy. Thesis title: Axiom of choice and some of its equivalent formulations. Thesis supervisor: Prof. Ada Aruffo.
- 09/2006-07/2010: Bachelor in Mathematics and Applications, Beijing Forest University, Beijing, China.
4.) A Uniform Identification of Stable Sheaf Cohomology. (jiont work with Luca Fiorindo, Ethan Reed and Shahriyar Roshan Zamir) Proceedings of the American Mathematical Society, Volume 153, Number 10, October 2025, Pages 4197-4213.
3.) Componentwise Linearity Under Square-Free Gröbner Degenerations. Journal of Commutative Algebra, Volume 16 (2024), No.3, 369-377.
2.) Lefschetz Duality for Local Cohomology. (joint work with Matteo Varbaro) Journal of Algebra, Volume 639, 1 February 2024, Pages 498-515.
1.) N-fiber-full modules. Journal of Pure and Applied Algebra. Volume 226, Issue 4, April 2022.
- On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to a diagonal monomial order. arXiv:2506.05193
- April 25, 2025: Talk entitled: On the Weak and Strong Lefschetz Properties for Initial Ideals of Determinantal Ideals with Respect to a Diagonal Monomial Order, at: Selected Topics in Algebra and Combinatorics, Hanoi, Vietnam.
- March 14, 2025: Talk entitled: N-fiber-full up to h Modules and Their Applications, at: Algebraic Geometry and related topics, Hanoi, Vietnam.
- July 25, 2024: Talk entitled: Componentwise linearity under Gröbner degenerations, at: The 2nd AMS-UMI International Joint Meeting, Palermo, Italy.
- March 13, 2024: Talk entitled: N-fiber-full up to h Modules, at: LEGAL (Liberdade em Geometria Algébrica), Teresópolis, Rio de Janeiro, Brazil.
- September 9, 2022, talk entitled: N-fiber-full up to h modules, at: Workshop on Commutative Algebra and Algebraic Geometry, Catania, Italy.
- May 27, 2022, talk entitled: N-fiber-full up to h modules, at: 100 years of the Unione Matematica Italiana and 800 years of the University of Padova, Padova, Italy.