Research Areas

Algebraic and geometric topology of (psudo-)manifolds and algebraic varieties. Currently I am interested in differential K theory, motivic homotopy theory, Galois action in surgery theory and applications of rational homotopy theory in almost complex geometry.

Education

2017 - 2023 Ph.D. in Mathematics Stony Brook University

2013 - 2017 B.S. in University of Science and Technology of China

Publications

1. Invariants of real vector bundles. Ph.D. thesis. arXiv: 2310.05061.

2. Characterization of differential K-theory by hexagon diagram. arXiv: 2209.04925.

3. Almost complex manifolds with total Betti number three. Journal of Topology and Analysis, 16(06):945–953, 2024.

4. On the algebra generated by ¯μ,¯∂,∂,μ. Com- plex Manifolds 10(1), 20220149.

5. Infinite symmetric products of rational algebras and spaces. Comptes Rendus. Mathématique 360, 275–284.