During this project research period three young researchers were being trained in the project group under the guidance of dr. Repovš. One of them has already successfully completed his studies (the other two will finish in 2022 and 2024, respectively): GOVC, Dejan. Unimodal Category: Doctoral Thesis. Ljubljana: [D. Govc], 2017. [COBISS.SI-ID 18139993] Dr. Govc was then invited to a 3-year Postdoc position at the University of Aberdeen in Great Britain, and is now employed at the University of Ljubljana and IMFM. He has already published several scientific papers: 1. MEIR, Ehud, GOVC, Dejan. Hilbert functions of certain rings of invariants via representations of the symmetric groups: (with an appendix by Dejan Govc). Journal of algebra, ISSN 0021-8693, Apr. 2021, vol. 572, str. 1-35. [COBISS.SI-ID 53431811] 2. GOVC, Dejan, LEVI, Ran, SMITH, Jason P. Complexes of tournaments, directionality filtrations and persistent homology. Journal of applied and computational topology, ISSN 2367-1726, [v tisku] 2021, vol. , iss. , 25 str., [COBISS.SI-ID 60690947] 3. GOVC, Dejan, HEPWORTH, Richard. Persistent magnitude. Journal of Pure and Applied Algebra, ISSN 0022-4049. March 2021, vol. 225, iss. 3, art. 106517 (40 str.). [COBISS.SI-ID 35374083] 4. LÜTGEHETMANN, Daniel, GOVC, Dejan, SMITH, Jason P., LEVI, Ran. Computing persistent homology of directed flag complexes. Algorithms, ISSN 1999-4893, Jan. 2020, vol. 13, iss. 1, art. 19 (18 str.). [COBISS.SI-ID 20167939], 5. GOVC, Dejan, MARZANTOWICZ, Wacław, PAVEŠIĆ, Petar. Estimates of covering type and the number of vertices of minimal triangulations. Discrete & computational geometry, ISSN 0179-5376, Jan. 2020, vol. 63, iss. 1, str. 31-48. [COBISS.SI-ID 18627417] 6. GOVC, Dejan, MARZANTOWICZ, Wacław, PAVEŠIĆ, Petar. How many simplices are needed to triangulate a Grassmannian? Topological Methods in Nonlinear Analysis, ISSN 1230-3429, Dec. 2020, vol. 56, no. 2, str. 501-518. [COBISS.SI-ID 47004931] 7. GOVC, Dejan, ŠKRABA, Primož. An approximate nerve theorem. Foundations of computational mathematics, ISSN 1615-3375, Oct. 2018, vol. 18, iss. 5, str. 1245-1297. [COBISS.SI-ID 18110809] 8. GOVC, Dejan. On the definition of the homological critical value. Journal of homotopy and related structures, ISSN 2193-8407, 2016, vol. 11, iss. 1, str. 143-151. [COBISS.SI-ID 17228633]
D.09 Tutoring for postgraduate students