About me
Affiliation
- Department of Applied Mathematics,
- Faculty of Information Technology,
- Czech Technical University in Prague,
- Thákurova 9,
- 160 00 Praha 6,
- Czech republic
Contact
Research interests
- string theory,
- general relativity,
- duality in field theories,
- differential geometry
- cryptology
- quantum computation
- machine learning
Publications
- Hlavatý L. and Petr I., Jacobi–Lie Models and Supergravity Equations, Progress of Theoretical and Experimental Physics (2024) 053B03.
- Hlavatý L. and Petr I., Poisson–Lie transformations and generalized supergravity equations, Eur. Phys. J. C (2021) 81:484.
- Hlavatý L. and Petr I., T-folds as Poisson-Lie plurals, Eur. Phys. J. C (2020) 80:892.
- Hlavatý L. and Petr I., Poisson-Lie plurals of Bianchi cosmologies and Generalized Supergravity Equations, J. High Energ. Phys. 04 (2020) 068.
- Hlavatý L. and Petr I., Poisson–Lie identities and dualities of Bianchi cosmologies, Eur. Phys. J. C (2019) 79:855.
- Hlavatý L. and Petr I., Poisson-Lie T-plurality revisited. Is T-duality unique?, J. High Energ. Phys. 04 (2019) 157.
- Hlavatý L., Petr I. and Petrásek F., Plane-parallel waves as duals of the flat background III: T-duality with torsionless B-field, Classical and Quantum Gravity, 35(7):075012, 2018.
- Petrásek F., Hlavatý L. and Petr I., Plane-parallel waves as duals of the flat background II: T-duality with spectators, Classical and Quantum Gravity, 34(15):155003, 2017.
- Hlavatý L. and Petr I., Plane-parallel waves as duals of the flat background, Classical and Quantum Gravity, 32(3):035005, 2015.
- Hlavatý L. and Petr I., New solvable sigma models in plane-parallel wave background, International Journal of Modern Physics A, 29(02):1450009, 2014.
- Hlavatý L., Petr I. and Štěpán V., Poisson-Lie T-plurality with spectators, Journal of Mathematical Physics, 50(4):043504, 2009.
Teaching
- Courses taught (FIT)
- Quantum algorithms and programming
- Mathematics for cryptology
- Elements of discrete mathematics
- Linear algebra
- Mathematical Analysis
- Elements of calculus
- Tutorials taught (FIT)
- Quantum algorithms and programming
- Selected statistical Methods
- Data-mining
- Practical data-mining
- Mathematics for Informatics
- Probability and statistics
- Elements of discrete mathematics
- Linear algebra
- Mathematical Analysis
- Elements of calculus
- Tutorials taught (FNSPE)
- Thermics and molecular physics
- Electricity and magnetism
- Mechanics