Vladislav's webpage

I am a graduate mathematician specializing in spectral geometry, quantum graphs, and discrete transforms. Currently pursuing my Master's degree at Stockholm University, my research bridges topological connectivity modifications with operator theory.

Contact: · GitHub


Key Research Highlights

Master's Thesis

"Berry Phase for Quantum Graphs" (Supervised by P. Kurasov)
Proved that a complete cycle of topology change on a figure-eight metric graph induces a non-trivial geometric Berry phase shift of exactly \(\pi\) for real-valued eigenfunctions.

Featured Preprint

P. Kurasov, V. Shubin, A. Tibbling.
"Berry's phase under topology change" · arXiv:2605.10798 (2026)

Featured Publications
1. Vladislav Shubin and Ivan Ushakov. "MacWilliams Transform with Binomial Weights". Polynomial Computer Algebra, Saint-Petersburg, Russia • 2026
2. Vladislav Shubin and Nikita Gogin. “Prime Power Conjecture for Projective Planes”. Polynomial Computer Algebra ’2025’ (PCA’2025), Saint-Petersburg, Russia • 2025

For full description, interactive matrix animations, complete education records, and my list of publications, please visit the About page →