Intro
This page tracks active lines of research and related academic activities. The emphasis is on projects with current implementation or collaboration momentum.
Highlights
Neural Networks and Knot Invariant Theory
Exploring connections between neural network architectures and knot invariants to develop novel computational invariants.
Chern–Simons Invariant and Complex Volume via Quandle Homology
Reconstruct complex volume and Chern–Simons invariants via 4‑fold symmetric quandle cohomology for hyperbolic 3‑manifolds and boundary‑parabolic representations.
- Dedicated project page: CSQ‑ComplexVolume Project Details
Dynamical Features of Complex Kleinian Groups
Investigating the dynamics of complex Kleinian groups and their geometric structures.
Error Correction in Quantum Codes
Developing robust error‑correction schemes for quantum error‑correcting codes.