Home page of Roman Geiko

Recent talks:

• "Paths to and from Quantum Cellular Automata" at Simons Center for Geometry and Physics, Stony Brook, Oct 15, 2025 (video, slides)

• "Invertible stabilizer phases", at Quantum field theory and topological phases via homotopy theory and operator algebras at Harvard, July  11, 2025 (video, slides) 

Upcoming projects:

• A categorical Triality: Matrix Product Factors, Positive Maps, and von Neumann Bimodules with T. Mainiero and G. W. Moore (draft available upon request). 

Preprints:

• Anomalies on the lattice, homotopy of quantum cellular automata, and a spectrum of invertible states , S. Czajka, R. Geiko, R. Thorngren,  cond-mat.str-el/2506.22544  

• A Classification of Invertible Stabilizer Codes, R. Geiko, G. Shuklin, math-ph/2512.01142  

• An Algebraic Theory of Gapped Domain Wall Partons, M. Buican, R. Geiko, M. Moses, B. Shi  cond-mat.str-el/2506.22544 

• Parametrized topological phases in 1d and T-duality, R. Geiko, math-ph/2412.209095 

List of Publications:

• Homotopy Classification of loops of Clifford unitaries, R. Geiko and Y. Hu (2024), Communications in Mathematical Physics, PDF, Recording of a talk CMSA

• When does three-dimensional Chern-Simons theory admits a time-reversal symmetry?, R. Geiko and G. W. Moore (2022),  Annales Henri Poincaré,  hep-th/2209.04519 

• Dyson's classification and real division superalgebras, R. Geiko and G. W. Moore, JHEP 299 (2021), hep-th/2010.01675 

• c-Recursion for multi-point conformal blocks. NS sector, V. Belavin and R. Geiko, JHEP 112 (2019), hep-th/1806.09563 

• Geodesic description of heavy-light Virasoro blocks, V. Belavin and R. Geiko, JHEP 8 (2018), hep-th/1705.10950 

• Various semiclassical limits of torus conformal blocks, K. Alkalaev, R. Geiko, V. Rappoport, JHEP 4 (2017), hep-th/1612.05891