Homepage of Alexander Slávik (“Olin”)
I've recently obtained my PhD at Charles University, Faculty of Mathematics and Physics, Department of Algebra, supervised by Jan Trlifaj.
My main areas of research interest are representation theory, homological algebra, commutative algebra, algebraic geometry, and applications of model and set theory in algebra.
Currently, my main occupation is teaching math at Gymnázium Voděradská.
- Alexander Slávik, Jan Trlifaj, Approximations and locally free modules, Bulletin of the London Mathematical Society, 46(1) (2014), 76–90, https://doi.org/10.1112/blms/bdt069
Alexander Slávik, Jan Trlifaj, Very flat, locally very flat, and contraadjusted modules,
Journal of Pure and Applied Algebra, 220(12) (2016), 3910–3926, https://doi.org/10.1016/j.jpaa.2016.05.020.
Leonid Positselski, Alexander Slávik, On strongly flat and weakly cotorsion modules,
Mathematische Zeitschrift, 291(3-4) (2019), 831–875,
Leonid Positselski, Alexander Slávik, Flat morphisms of finite presentation are very flat,
Annali di Matematica Pura ed Applicata, 199 (2020), 975–924,
- Sergio Estrada, Alexander Slávik, Quillen equivalent models for the derived category of flats and the resolution property,
Journal of the Australian Mathematical Society,
Michal Hrbek, Leonid Positselski, Alexander Slávik, Countably generated flat modules are quite flat, to appear in the Journal of Commutative Algebra, https://projecteuclid.org/euclid.jca/1575687632 (arXiv:1907.00356)
Mike Prest, Alexander Slávik, Purity in categories of sheaves,
Alexander Slávik, Jan Šťovíček, On flat generators and Matlis duality for quasicoherent sheaves,
Bulletin of the London Mathematical Society,