Research

My current research focuses on symplectic geometry and topology, especially through the perspective of Floer theory. In particular, I am interested in studying the chain-level homotopical algebraic structures of Floer complexes. The other most relevant branches to me in mathematics come from algebraic topology, e.g. string topology, rational homotopy theory, simple homotopy theory, and stable homotopy theory.

Papers

Mathematics

Coherent orientations in Rabinowitz Floer theory, joint with Yannis Bähni. In progress.
Twisted symplectic cohomology and twisted Rabinowitz Floer cohomology, joint with Hanwool Bae. In progress.
Distinct exact fillable Legendrian spheres in dimension 5, joint with Filip Broćić. In progress.
Local spectral invariants, joint with Felix Schmäschke. In progress.
On algebraic properties of open string Viterbo isomorphism, joint with Maximilian Stegemeyer. In progress.
Algebraic loop product and coproduct from Rabinowitz Fukaya category. In progress.
Relative and real symplectic capacities, draft available upon request.
Generic doubling of rectangular pegs (with an appendix joint with Urs Frauenfelder), arXiv:2404.13209 (2024).

Physics

(The papers therein were all written in 2015-2016 during my bachelor time. Afterwards, I left the physics academia.)

Theses

Master thesis: Three dimensional Cauchy-Riemann geometry, Burns-Epstein invariant and Cartan flow
Bachelor thesis: Electron-Valley Resonance in monolayer Transition Metal Dichalcogenides (defense slides)

Talks

On real symplectic capacities, Colloquiums, School of Mathematcal Sciences, Beijing Normal University, 2025.
Floer homologies and real symplectic capacities, Frontiers in Mathematics (Forum), School of Mathematical Sciences, Tianjin Normal University, 2025.
Morse-Bott Floer Homology and Rectangular Pegs, IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar, 2025 (slides).
Relative and real symplectic capacities, Oberseminar Differentialgeometrie WS2024/2025 Universität Augsburg.
Symplectic topology and rectangular peg problem, Oberseminar: Differentialgeometrie WS2024/2025, Universität Freiburg.
Double the rectangular pegs, Conference, RWTH Aachen, 2024.
Toeplitz conjecture through Floer's eyes, Oberseminar Differentialgeometrie WS2023/2024 Universität Augsburg.
Flavors of Calabi-Yau structures, Workshop, Oberwolfach, 2023.
Symplectic homology and Rabinowitz Floer homology, Workshop, Universität Heidelberg, 2023.
Burns-Epstein invariant and its gradient flow, Oberseminar Differentialgeometrie SS2021 Universität Augsburg (slides).
The Burns-Epstein invariant for CR-manifolds in dimension 3, Oberseminar Geometrie WS2020/21 LMU München.

Attended Conferences/Workshops/Schools