izr. prof. dr. Marko Slapar

Dodiplomski in magistrski študij matematike sem opravila na Fakulteti za matematiko in fiziko Univerze v Ljubljani. Moja mentorja sta bila J. Globevnik in F. Forstnerič. Leta 2003 sem doktoriral iz matematike na Univerzi Michigan, Ann Arbor, pod mentorstvom J. E. Fornaessa. Sem del skupine za kompleksno analizo v Ljubljana. Raziskovalno se ukvarjam s funkcijami več kompleksnih spremenljivk, s poudarkom na mehki teoriji Oka, CR singularnih točkah, polinomski konveksnosti in topologiji kompleksnih in CR mnogoterosti v nižjih dimenzijah.

V študijskem letu 2023/2024 predavam predmeta Matematična analiza in Funkcije več spremenljivk za študente študijskega programa Dvopredmetni učitelj na UL PEF.

• On Stein neighborhood basis of real surfaces. Math. Z. 247 (2004), no. 4, 863–879.
• Real surfaces in elliptic surfaces. Internat. J. Math. 16 (2005), no. 4, 357–363.
• with F. Forstnerič, Stein structures and holomorphic mappings. Math. Z. 256 (2007), no. 3, 615–646.
• with F. Forstnerič, Deformations of Stein structures and extensions of holomorphic mappings. Math. Res. Lett. 14 (2007), no. 2, 343–357.
• Integrals of elementary functions. (Slovenian) Obzornik Mat. Fiz. 55 (2008), no. 2, 41–53.
• with J. Prezelj, The generalized Oka-Grauert principle for 1-convex manifolds. Michigan Math. J. 60 (2011), no. 3, 495–506.
• Modeling Complex Points up to Isotopy. J. Geom. Anal. 23 (2013), no. 4, 1932-1942.
• Canceling Complex Points in Codimension 2, Bulletin of the Australian Mathematical Society 88 (2013), no.1, 64-69.
• CR regular embeddings and immersions of compact orientable 4-manifolds into C3. Internat. J. Math. 26 (2015), no. 5.
• On Complex Points of Codimension 2 Submanifolds. J. Geom. Anal. (2016).
• with T. Starčič, On Normal Forms of Complex Points of Codimension 2 Submanifods. J. Math. Anal. Appl. 461 (2018) 1308-1326.
• with R. Torres, Existence results of totally real immersions and embeddings into Cn. Proc. Amer. Math. Soc. 146 (2018), 5463-5473.
• with B. Drinovec Drnovšek, Proper holomorphic curves attached to domains, with B. Drinovec Drnovšek, Comp. Var. and Elli. Equ. (2020), vol. 65, no. 3, 489-497.
• On Thom conjecture in CP^3, with D. Ruberman and S. Strle, Int. Math. Res. Not. (2023). vol. 2023, no. 5, 3601–3614.