Research

Publications

1. M. Hrbek, P. Růžička. Weakly based modules over Dedekind domains. Journal of Algebra 399 (2014): 251-268.

2. M. Hrbek, P. Růžička. Characterization of Abelian groups with a minimal generating set. Quaestiones Mathematicae 38.1 (2015): 103-120.

3. M. Hrbek. One-tilting classes and modules over commutative rings. Journal of Algebra 462 (2016): 1-22.

4. D. Herden, M. Hrbek, P. Růžička. On the existence of weak bases for vector spaces. Linear Algebra and its Applications 501 (2016): 98-111.

5. L. Angeleri Hügel, M. Hrbek. Silting modules over commutative rings. International Mathematics Research Notices 2017.13 (2017): 4131-4151.

6. M. Hrbek, P. Růžička. Regularly weakly based modules over right perfect rings and Dedekind domains. Czechoslovak Mathematical Journal 67.2 (2017): 367-377.

7. M. Hrbek. Divisibility classes are seldom closed under flat covers. Journal of Pure and Applied Algebra 223.3 (2019): 1258-1271.

8. M. Hrbek, J. Šťovíček. Tilting classes over commutative rings. Forum Mathematicum 32.1 (2020): 235-267.

9. M. Hrbek. Compactly generated t-structures in the derived category of a commutative ring. Mathematische Zeitschrift 295.1 (2020): 47-72.

10. M. Hrbek, J. Šťovíček, J. Trlifaj. Zariski locality of quasi-coherent sheaves associated with tilting. Indiana University Mathematics Journal 69.5 (2020): 1733-1762.

11.       S. Bazzoni, M. Hrbek. Definable coaisles over rings of weak global dimension at most one. Publicacions Matemàtiques 65.1 (2021). 165-241.

12. M. Hrbek, T. Nakamura. Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings. Journal of Pure and Applied Algebra 225.4 (2021): 106571.

13. L. Angeleri Hügel, M. Hrbek. Parametrizing torsion pairs in derived categories. Representation Theory 25 (2021): 679-731.

14. M. Hrbek, L. Positselski, A. Slávik. Countably generated flat modules are quite flat. Journal of Commutative Algebra 14.1 (2022): 37-54.

15. M. Hrbek, S. Pavon. Singular equivalences to locally coherent hearts of commutative noetherian rings. Journal of Algebra 632 (2023): 117-153.

16. S. Bazzoni, M. Hrbek, L. Positselski. Fp-projective periodicity. Journal of Pure and Applied Algebra 228.3 (2023): 107497.

17. M. Hrbek, T. Nakamura, J. Šťovíček. Tilting complexes and codimension functions over commutative noetherian rings. Nagoya Mathematical Journal 255 (2024): 618-693.

18.      M. Hrbek, G. Le Gros. Restricted injective dimensions over Cohen-Macaulay rings. Algebras and Representation Theory 27 (2024): 1373-1393.

19. M. Hrbek, J. Hu, R. Zhu. Gluing compactly generated t-structures over stalks of affine schemes. Israel Journal of Mathematics 262.1 (2024): 235-275.

20. M. Hrbek. Topological endomorphism rings of tilting complexes. Journal of the London Mathematical Society 109 (2024): e12939. doi:10.1112/jlms.12939.

21. M. Hrbek, G. Le Gros. The finite type of modules of bounded projective dimension and Serre's conditions. Bulletin of the London Mathematical Society 56 (2024): 2760-2775.

22. M. Hrbek, L. Martini. Product-complete tilting complexes and Cohen--Macaulay hearts. Revista Matemática Iberoamericana 40.6 (2024): 2339-2369.

23. M. Hrbek. Telescope conjecture via homological residue fields with applications to schemes. Tunisian Journal of Mathematics. 7.1 (2025): 199-228.

24.      S. Breaz, M. Hrbek, G. C. Modoi. Silting, cosilting, and extensions of commutative rings. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/S0305004125101503

Preprints

25. D. Herbera, M. Hrbek, G. Le Gros. Cotorsion pairs and Tor-pairs over commutative noetherian rings. arXiv preprint arXiv:2411.04514 (2024).

26. M. Hrbek, S. Pavon, J. Vitória. Mutation and the Gabriel spectrum. arXiv preprint arXiv:2503.16226 (2025).

27. S. Dey, M. Hrbek, G. Le Gros. Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions. arXiv preprint arXiv:2508.20281 (2025).

28. M. Hrbek, E. Sabatini. Telescope conjecture for quiver representations over artinian rings. arXiv preprint arXiv:2509.14179 (2025).

29.      A. Bhaduri, T. De Deyn, M. Hrbek, P. Lank, K. Manali-Rahul. Nonexistence of singly compactly generated t-structures for schemes. arXiv:2511.01622 (2025).