About me
My name in Chinese is 张宇.
I am currently an Assistant Professor at the Center for Applied Mathematics, Tianjin University.
My primary research focuses on algebraic topology, specifically in homotopy theory.
For more detailed information about my background, please refer to my CV, 中文简历.
This homepage was last updated on September 15, 2024.
Employment
Education
Ph.D. in Mathematics, Dissertation Advisor: John E. Harper
B.S. in Mathematics, Dissertation Advisor: Huijun Fan
Research
Research Area: Algebraic Topology. I am particularly focused on (a) computations aimed at understanding the stable homotopy groups of spheres, (b) the theory of model categories and higher categories, and (c) the study of higher structures in spaces and ring spectra.
Publications/preprints
(joint with J. Hong and X. Wang). Sci. China Math. (2024). SharedIt link / journal
(joint with X. Wang, J. Wu, and L. Zhong). Proc. Amer. Math. Soc. 152 (2024), 4521-4536. pdf / journal
(joint with X. Wang). Proc. Amer. Math. Soc. 151 (2023), 5087-5096. pdf / journal
(joint with Z. Zhang, L. Zhong). Topology Appl. 338 (2023): 108642. pdf / journal
(joint with X. Wang and Y. Wang). New York J. Math. 29 (2023) 687-707. pdf / journal
J. Homotopy Relat. Struct. 17, 511-523 (2022). pdf / SharedIt link / journal
(joint with X. Gu, Z. Zhang and L. Zhong). Proc. Amer. Math. Soc. 150 (2022), 4099-4111. pdf / journal
(joint with J. Harper). Tbilisi Mathematical Journal 12(3):69-91, 2019. pdf / journal
Conference
2023 Topology and its Applications Conference
Algebraic topology, an important branch of mathematics, has witnessed significant progress in recent years. Topology has also found useful applications in fields such as chemical compounds, biological proteins, and social networks for data analysis. This conference aims to bring together distinguished experts in the field of topology and applied topology, promoting the development of topological applications and providing a platform for sharing insights and research findings on the latest advancements in this area.
For further information about the conference, please visit the conference website.
Lecture
An intuitive introduction to motivic homotopy theory
Lecture 1: Overview, Category theory, and Simplicial sets. Slides
Lecture 2: Model category. Slides
Lecture 3: Scheme. Slides
Lecture 4: Unstable motivic homotopy theory. Slides
Lecture 5: Stable motivic homotopy theory. Slides
Videos of the lectures are available for download here. Password: hny3
The lectures were given in Chinese.
Teaching
As instructor at TJU
Calculus I, Autumn 2024.As instructor at NKU
Probability and Statistics for Liberal Arts, Spring 2022.Advanced Mathematics for Liberal Arts, Autumn 2021.
As graduate teaching associate at OSU
Math 2177: Mathematical Topics for Engineers, Autumn 2018.Math 1172: Engineering Mathematics A, Autumn 2017.
Math 1172: Engineering Mathematics A, Autumn 2016.
Math 1152: Calculus II, Spring 2016.