Hongmiao Yu



I am a postdoc in the Department of Mathematics at the University of Genoa, Italy. I received my PhD from the University of Genoa, under the direction of Matteo Varbaro.

Research Interests:

My interests are in commutative algebra and its interactions with algebraic geometry and category theory. 

Contact information:

Links:

EMPLOYMENT:

- Since 05/2022: Postdoctoral Fellow, Università degli Studi di Genova, Genoa, Italy.

EDUCATION:    

- 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.

PUBLICATIONS:

3.) Componentwise Linearity Under Square-Free Gröbner Degenerations. To appear in Journal of Commutative Algebra  arXiv:2303.05190

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.

PREPRINTS: 

- An Isomorphism Theorem For Arithmetic Complexes. (joint work with Luca Fiorindo, Ethan Reed, and Shahriyar Roshan-Zamir). arXiv:2309.17416

INVITED TALKS:

- March 13, 2024: Talk entitled: N-fiber-full up to h Modules, at: LEGAL (Liberdade em Geometria Algébrica), Teresópolis, Rio de Janeiro, Brazil.

- November 9, 2023, talk entitled: Square-free Gröbner Degenerations and N-fiber-full up to h Modules, at: Stockholm Problem Seminar, online.

- 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.

- November 10, 2021, talk entitled: N-fiber-full modules, at: Algebra & Geometry Seminar, Genova, Italy.