prof. dr. Franc Forstnerič
University of Ljubljana,
Faculty of Mathematics and Physics Institute of Mathematics, Physics and Mechanics, Ljubljana office: 424, Jadranska 21 phone: +386 (0)1 4766 556 email: franc.forstneric at fmf.unilj.si SecretaryGeneral of Slovenian Academy of Sciences and Arts 
CV Publications MathSciNet Zentralblatt arXiv CRIS ORCID GoogleScholar
ERC Advanced Grant, 20222027 STA DELO DELO interview
International Journal of Mathematics, member of the editorial board
Complex Analysis Seminar, 1975

With
Barbara Drinovec Drnovšek
we coordinate the Complex Analysis Seminar in the Department of Mathematics,
University of Ljubljana
and
Institute of Mathematics, Physics and Mechanics.
The seminar was established by
Josip Globevnik
in 1975. During academic year it meets on Tuesdays at 12:30 in room 3.06, Jadranska 21.
It covers topics in complex analysis, complex geometry, harmonic analysis, and
partial differential equations.
Internal instructions for application to host a guest in the seminar are available
here
and there.
Proposals for talks are welcome.
Upcoming talks:
 29.11.2022: Rafael Andrist, University of Ljubljana
 6.12.2022: David De Boer, University of Amsterdam
Stefan Bergman Prize 2019 Obzornik mat. fiz. 68(2):7481, 2021
Plenary speaker, 8th European Congress of Mathematics, Portorož, 2025 June 2021. Slides
Complex Analysis, Geometry and Dynamics  Bernardin 2022, Grand Hotel Bernardin, 2024 June
Stein Manifolds and Holomorphic Mappings 2018, Ljubljana, 1721 September 2018 Photos
Research interests and grants

My research interests lie in complex analysis, analytic geometry, Riemann surfaces, minimal surfaces, and holomorphic contact geometry. In 2009, I introduced in the literature the class of
Oka Manifolds, so named after
Kiyoshi Oka.
This class is in a precise sense dual to the class of
Stein manifolds
and is opposite to the class of
hyperbolic manifolds.
Oka theory
is the subject of my monograph
Stein Manifolds and Holomorphic Mappings (Springer, 2011 and 2017).
The subject received
MSC 2020
classification 32Q56 Oka principle and Oka manifolds.
I am also interested in applications of complex analysis to minimal surfaces, the topic
on which I coauthored the monograph
Minimal Surfaces from a Complex Analytic Viewpoint (with A. Alarcón and F. J. López,
Springer 2021), as well as in holomorphic contact geometry.

I coordinate the research program
P10291 Analysis and Geometry (201521) and grants
J13005 (202124) and N10237 financed by
ARRS.
Research activities of program members cover a wide array of topics in complex analysis
and geometry, global analysis, minimal surfaces, harmonic analysis, spectral theory of operators,
partial differential equation, special functions, and integrable systems. A list of my past grants is available
here.
Books
 Minimal Surfaces from a Complex Analytic Viewpoint (with A. Alarcón and F. J. López). Springer Monographs in Mathematics, Springer, Cham, 2021. ISBN 9783030690557/hbk; 9783030690564/ebook. MR 4237295 Zbl 07332812
 New complex analytic methods in the study of nonorientable minimal surfaces in R^{n} (with A. Alarcón and F. J. López). Memoirs Amer. Math. Soc. 264:1283 (2020). MR 4078111 Zbl 07213239 arXiv
 Stein manifolds and holomorphic mappings. The homotopy principle in complex analysis. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 56. Second Edition. Cham: Springer Internat. (ISBN 9783319610573/hbk; 9783319610580/ebook). xiv+562 p. (2017). MR 3700709 Zbl 06737283 Errata.
 Stein Manifolds and Holomorphic Mappings. The homotopy principle in complex analysis. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 56. Berlin: Springer (ISBN 9783642222498/hbk; 9783642222504/ebook). xii, 489 p. (2011). MR2975791 Zbl 1247.32001
Preprints
 Domains without parabolic minimal surfaces and weakly hyperbolic domains. Preprint, July 2022. arXiv
 Embedding bordered Riemann surfaces in strongly pseudoconvex domains. Preprint, April 2022. arXiv
 Oka domains in Euclidean spaces (with E. F. Wold). Internat. Math. Res. Not. (IMRN), to appear. arXiv
 Recent developments on Oka manifolds. Preprint, March 2022. This version: 25 November 2022. arXiv.
 Hyperbolic domains in real Euclidean spaces (with Barbara Drinovec Drnovšek). Pure Appl. Math. Q., to appear. arXiv
 Minimal surfaces in Euclidean spaces by way of complex analysis. Proceedings of the 8th European Congress of Mathematics, to appear. arXiv
 SchwarzPick lemma for harmonic maps which are conformal at a point (with David Kalaj). Anal. PDE, to appear. arXiv
 Proper superminimal surfaces of given conformal types in the hyperbolic fourspace. Ann. Fac. Sci. Toulouse Math., to appear. arXiv.
 Minimal surfaces for undergraduates. An introduction for students of Mathematics in connection to a first course on differential equations and the calculus of variations. No prior knowledge of differential geometry is assumed. arXiv.
 Analiza na mnogoterostih. A textbook in preparation (in Slovenian) for the course "Analysis on Manifolds" within the Master program in Mathematics.
Online first publications
 The CalabiYau problem for minimal surfaces with Cantor ends. Revista Mat. Iberoam., to appear. arXiv
Research and expository papers, 20132023
 Stein neighbourhoods of bordered complex curves attached to holomorphically convex sets. Arkiv Mat., 60(2):335349, 2022. arXiv
 Flexible domains for minimal surfaces in Euclidean spaces (with Barbara Drinovec Drnovšek). J. Math. Anal. Appl., 517(2):126653, 2023. arXiv
 Mergelyan approximation theorem for holomorphic Legendrian curves. Anal. PDE 15(4):9831010, 2022. arXiv.
 The first thirty years of AndersénLempert theory (with Frank Kutzschebauch). Anal. Math., 48(2):489544, 2022. arXiv
 Holomorphic Legendrian curves in projectivised cotangent bundles (with F. Lárusson). Indiana Univ. Math. J., 71(1):93124, 2022. MR 4395592. arXiv.
 Every smoothly bounded pconvex domain in R^{n} admits a pplurisubharmonic defining function. Bull. Sci. Math., 175:103100, 2022. MR 4370488. arXiv
 Euclidean domains in complex manifolds. J. Math. Anal. Appl., 506(1), 2022, 125660. MR 4315558 Zbl 7413100. arXiv
 Holomorphic Legendrian curves in CP^{3} and superminimal surfaces in S^{4} (with A. Alarcón and F. Lárusson). Geom. Topol., 25(7):35073553, 2021. MR 4372635. arXiv.
 The CalabiYau problem for Riemann surfaces with finite genus and countably many ends (with A. Alarcón). Rev. Mat. Iberoam., 37(4):13991412, 2021. MR 4269402 Zbl 1469.53014. arXiv.
 Immersions of open Riemann surfaces into the Riemann sphere. Izv. RAN. Ser. Mat., 85(3):239260, 2021 (Russian). English transl., Izvestiya Math., 85(3):562581, 2021. MR 4265378 Zbl 1470.32037. arXiv.
 The CalabiYau property of superminimal surfaces in selfdual Einstein fourmanifolds. J. Geom. Anal., 31:47544780, 2021. MR 4244884 Zbl 07343425 arXiv.
 Holomorphic families of FatouBieberbach domains and applications to Oka manifolds (with E. Fornæss Wold). Math. Res. Lett., 27(6):16971706, 2020. MR 4216601 Zbl 07317610 arXiv
 Hprinciple for complex contact structures on Stein manifolds. J. Symplectic Geom., 18(3):733767, 2020. MR 4142485 Zbl 07285739 arXiv
 A foliation of the ball by complete holomorphic discs (with A. Alarcón). Math. Z., 296:169174, 2020. Full text view only. MR 4140736. Zbl 07242438 arXiv
 Holomorphic approximation: the legacy of Weierstrass, Runge, OkaWeil, and Mergelyan (with J. E. Fornæss and E. Fornæss Wold). In: D. Breaz, M. Th. Rassias (Eds.), Advancements in Complex Analysis, pp. 133192. Springer, Cham, 2020. MR 4264040 Zbl 07216541 arXiv
 Runge tubes in Stein manifolds with the density property (with E. F. Wold). Proc. Amer. Math. Soc., 148(2):569575, 2020. MR 4052195 Zbl 1436.32041 arXiv
 Proper holomorphic immersions into Stein manifolds with the density property. J. Anal. Math., 139(2):585596, 2019. MR 4041113 Zbl 1436.32060 arXiv
 Every meromorphic function is the Gauss map of a conformal minimal surface (with A. Alarcón and F.J. López). J. Geom. Anal., 29(4):30113038, 2019. MR 4015426 Zbl 1432.30030 arXiv
 Mergelyan's and Arakelian's theorems for manifoldvalued maps. Moscow Math. J., 19(3):465484, 2019. MR 3993004 Zbl 07206617 arXiv
 New complex analytic methods in the theory of minimal surfaces: a survey (with A. Alarcón). J. Aust. Math. Soc., 106(3):287341, 2019. MR 3951461 Zbl 1414.53007 arXiv
 The parametric hprinciple for minimal surfaces in R^{n} and null curves in C^{n} (with F. Lárusson). Comm. Anal. Geom., 27(1):145, 2019. MR 3951019 Zbl 1414.53009 arXiv
 A properly embedded holomorphic disc in the ball with finite area and dense boundary curve. Math. Ann., 373(12):719742, 2019. MR 3968886 Zbl 1426.32009 arXiv
 Darboux charts around holomorphic Legendrian curves and applications (with A. Alarcón). Internat. Math. Res. Not. (IMRN), 3:893922, 2019. MR 3910477 Zbl 1429.53088 arXiv
 Minimal surfaces in minimally convex domains (with A. Alarcón, B. Drinovec Drnovšek, and F. J. López). Trans. Amer. Math. Soc. 371(3):17351770, 2019. MR 3894033 Zbl 1406.53004 arXiv
 Holomorphic embeddings and immersions of Stein manifolds: a survey. In: Geometric Complex Analysis, 145169, Springer Proc. Math. Stat., Springer, Singapore, 2018. MR 3923223 Zbl 1404.32019 arXiv
 Every conformal minimal surface in R^{3} is isotopic to the real part of a holomorphic null curve (with A. Alarcón). J. reine angew. Math. (Crelle's J.), 740:77109, 2018. MR 3824784 Zbl 1400.53011 arXiv
 Divisors defined by noncritical functions. Proc. Amer. Math. Soc., 1467(7):29852994, 2018. MR 3787359 Zbl 1405.32011 arXiv
 The Oka principle for holomorphic Legendrian curves in C^{2n+1} (with F. Lárusson). Math. Z., 288(12):643663, 2018. MR 3774429 Zbl 1394.53082 arXiv
 Complete densely embedded complex lines in C^{2} (with A. Alarcón). Proc. Amer. Math. Soc., 146(3):10591067, 2018. MR 3750218 Zbl 1386.32016 arXiv
 Surjective holomorphic maps onto Oka manifolds. In: Complex and Symplectic Geometry, 7384, Springer INdAM Ser., 21, Springer, Cham, 2017. MR 3645307 Zbl 1391.32019 arXiv
 Hyperbolic complex contact structures on C^{2n+1}. J. Geom. Anal. 27(4):31663175, 2017. MR 3708010 Zbl 1390.53087 arXiv
 Holomorphic Legendrian curves (with A. Alarcón and F. J. López). Compositio Math., 153(9):19451986, 2017. MR 3705282 Zbl 1373.53106 arXiv
 A long C^{2} without holomorphic functions (with L. Boc Thaler). Analysis & PDE 9(8):20312050, 2016. MR 3599525 Zbl 1368.32008 arXiv
 Proper holomorphic embeddings into Stein manifolds with the density property (with R. Andrist, T. Ritter, and E. F. Wold). J. Anal. Math., 130(1):135150, 2016. Full text view only. MR 3574650 Zbl 1373.32015 arXiv
 Noncritical holomorphic functions on Stein spaces. J. Eur. Math. Soc. (JEMS), 18(11):25112543, 2016. MR 3562350 Zbl 1359.32011 arXiv
 Embedded minimal surfaces in R^{n} (with A. Alarcón and F. J. López). Math. Z., 283(1):124, 2016. Full text view only. MR 3489056 Zbl 1360.53020 arXiv
 On the Hodge conjecture for qcomplete manifolds (with J. Smrekar and A. Sukhov). Geom. & Topol., 20(1):353388, 2016. MR 3470716 Zbl 06553431 arXiv
 Minimal hulls of compact sets in R^{3} (with B. Drinovec Drnovšek). Trans. Amer. Math. Soc., 368(10):74777506, 2016. MR 3471098 Zbl 1339.53004 arXiv
 Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves (with A. Alarcón, B. Drinovec Drnovšek, and F. J. López). Proc. London Math. Soc. (3), 111(4):851886, 2015. MR 3407187 Zbl 1344.53008 arXiv
 Null holomorphic curves in ℂ^{3} and the conformal CalabiYau problem (with A. Alarcón). In: Complex Geometry and Dynamics, 101121, Abel Symp., 10, Springer, Cham, 2015. PDF MR 3587463 Zbl 1338.53085 arXiv
 The CalabiYau problem, null curves, and Bryant surfaces (with A. Alarcón). Math. Ann. 363(34):913951, 2015. MR 3412347 Zbl 1343.53053 arXiv
 FatouBieberbach domains in ℂ^{n}\R^{k} (with E. F. Wold). Ark. Mat., 53(2):259270, 2015. MR 3391171 Zbl 1333.32015 arXiv
 A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions. J. Geom. Anal., 25(1):329335, 2015. MR 3299284 Zbl 1317.32020 arXiv
 Gromov's contribution to the Oka principle. In: A few snapshots from the work of Mikhail Gromov. The Abel Prize 20082012, pp. 161165. Edited by Helge Holden and Ragni Piene. Springer, Heidelberg, 2014. PDF MR 3185030 Zbl 1317.01017
 Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space (with F. Lárusson). Math. Res. Lett. 21(5):10471067, 2014. MR 3294562 Zbl 1306.32009 arXiv
 Holomorphic flexibility properties of compact complex surfaces (with F. Lárusson). Int. Math. Res. Not. (IMRN), 13:37143734, 2014. MR 3229766 Zbl 1310.32013 arXiv
 Oka properties of ball complements (with T. Ritter). Math. Z., 277(1):325338, 2014. MR 3205776 Zbl 1297.32010 arXiv Notice: proofs of Theorem 1, Corollary 2 and Theorem 15 are incomplete in the special case when the set L is polynomially convex and the real dimension of X equals n. These proofs can be completed by applying Lemma 3.1 in the paper Proper holomorphic immersions into Stein manifolds with the density property. J. Anal. Math., 139:2 (2019), 585596. On the same subject, a recent result of Y. Kusakabe (May 2020) is that complements of polynomially convex sets in complex Euclidean spaces of dimension at least two are Oka manifolds; see arXiv and also the paper Holomorphic families of FatouBieberbach domains and applications to Oka manifolds by E. Fornæss Wold and myself.
 Null curves and directed immersions of open Riemann surfaces (with A. Alarcón). Inventiones Math., 196(3):733771, 2014. MR 3211044 Zbl 1297.32009 arXiv
 Oka manifolds: from Oka to Stein and back. With an appendix by F. Lárusson. Ann. Fac. Sci. Toulouse Math. (6), 22(4):747809, 2013. PDF MR 3137250 Zbl 1323.32001 arXiv
 Every bordered Riemann surface is a complete proper curve in a ball (with A. Alarcón). Math. Ann. 357(3):10491070, 2013. MR 3118624 Zbl 1288.32014 arXiv
 GunningNarasimhan's theorem with a growth condition (with T. Ohsawa). J. Geom. Anal. 23(3):10781084, 2013. MR 3078344 Zbl 1272.30065 arXiv Japanese translation
 Embeddings of infinitely connected planar domains into ℂ^{2} (with E. F. Wold). Analysis & PDE 6(2): 499514, 2013. MR 3071396 Zbl 1277.32009 arXiv
Publications 19862012. These files are provided for noncommercial, personal, academic use of individual researchers. Any other use requires explicit permission from the publisher since the papers are protected by copyright.
 Characterizations of projective hulls by analytic discs (with B. Drinovec Drnovšek). Illinois J. Math. 56:1 (2012) 5365 (2013). PDF MR 3117017 Zbl 1311.32013 arXiv
 The PoletskyRosay theorem on singular complex spaces (with B. Drinovec Drnovšek). Indiana Univ. Math. J. 61 (2012) 17071423. PDF MR 3085613 Zbl 1278.32021 arXiv
 Disc functionals and SiciakZaharyuta extremal functions on singular varieties (with B. Drinovec Drnovšek). Ann. Polon. Math. 106 (2012) 171191. PDF MR 2995450 Zbl 1258.32011 arXiv
 Holomorphic families of long ℂ^{2}'s. Proc. Amer. Math. Soc. 140 (2012) 23832389. PDF MR 2898700 Zbl 1278.32012 arXiv
 Survey of Oka theory (with F. Lárusson). New York J. Math., 17a (2011), 128. PDF MR 2782726 Zbl 1225.32019
 Invariance of the parametric Oka property. Complex Analysis, 125144. Trends in Math., Birkhäuser (2010). PDF MR 2885112 Zbl 1208.32012
 The Oka principle for sections of stratified fiber bundles. Pure Appl. Math. Quarterly 6 (2010) 843874. PDF MR 2677316 Zbl 1216.32005
 Strongly pseudoconvex Stein domains as subvarieties of complex manifolds (with B. Drinovec Drnovšek). Amer. J. Math. 132 (2010) 331360. PDF MR 2654777 Zbl 1216.32009
 Oka Maps. C. R. Acad. Sci. Paris Ser. I 348 (2010) 145148. PDF MR 2600066 Zbl 1201.32013
 Fibrations and Stein neighborhoods (with E.F. Wold). Proc. Amer. Math. Soc. 138 (2010) 20372042. PDF MR 2596039 Zbl 1192.32008
 Abelova nagrada 2009 Mikhaelu Gromovu. (Slovenian) (The Abel prize 2009 to Mikhael Gromov.) Obzornik mat. fiz. 57 (2010) 2, 4152. PDF MR 2677126 Zbl 1205.01033
 Princip OkaGrauertGromov in uporaba v kompleksni geometriji. (Slovenian; The OkaGrauert principle and its applications in complex geometry). Unpublished, University of Ljubljana (2010). PDF
 Oka Manifolds. C. R. Acad. Sci. Paris, Ser. I 347 (2009) 10171020. PDF MR 2554568 Zbl 1175.32005
 Bordered Riemann surfaces in ℂ^{2} (with E. F. Wold). J. Math. Pures Appl. 91 (2009) 100114. PDF MR 2487902 Zbl 1157.32010
 Approximation of holomorphic mappings on strongly pseudoconvex domains (with B. Drinovec Drnovšek). Forum Math. 20 (2008) 817840. PDF MR 2445119 Zbl 1155.32008
 Stein compacts in Leviflat hypersurfaces (with C. LaurentThiébaut). Trans. Amer. Math. Soc. 360 (2008) 307329. PDF MR 2342004 Zbl 1141.32003
 Holomorphic curves in complex spaces (with B. Drinovec Drnovšek). Duke Math. J. 139 (2007) 203254. PDF MR 2352132 Zbl 1133.32002
 Deformations of Stein structures and extensions of holomorphic mappings (with M. Slapar). Math. Res. Lett. 14 (2007) 343357. PDF MR 2318630 Zbl 1134.32007
 An interpolation theorem for proper holomorphic embeddings (with B. Ivarsson, F. Kutzschebauch and J. Prezelj). Math. Ann. 338 (2007) 545554. PDF MR 2317930 Zbl 1177.32003
 Manifolds of holomorphic mappings from strongly pseudoconvex domains. Asian J. Math. 11 (2007) 113126. PDF MR 2304585 Zbl 1131.58007
 Stein structures and holomorphic mappings (with M. Slapar). Math. Z. 256 (2007) 615646. PDF MR 2299574 Zbl 1129.32013
 A contractible Leviflat hypersurface in ℂ^{2} which is a determining set for pluriharmonic functions. Ark. Math. 44 (2006) 8791 PDF MR 2237212 Zbl 1158.32314
 Runge approximation on convex sets implies Oka's property. Ann. of Math. (2) 163 (2006) 689707. PDF MR 2199229 Zbl 1103.32004
 Holomorphic flexibility properties of complex manifolds. Amer. J. Math. 128 (2006) 239270. PDF MR 2197073 Zbl 1171.32303
 Holomorphic discs with dense images (with J. Winkelmann). Math. Res. Lett. 12 (2005) 265268. PDF MR 2150882 Zbl 1075.32005
 Extending holomorphic mappings from subvarieties in Stein manifolds. Ann. Inst. Fourier 55 (2005) 733751. PDF MR 2149401 Zbl 1076.32003
 Holomorphic submersions from Stein manifolds. Ann. Inst. Fourier 54 (2004) 19131942. PDF MR 2134229 Zbl 1093.32003
 Most real analytic CauchyRiemann manifolds are nonalgebraizable. Manuscripta Math. 115 (2004) 489494. PDF MR 2103663 Zbl 1066.32034
 Noncritical holomorphic functions on Stein manifolds. Acta Math. 191 (2003) 143189. PDF MR 2051397 Zbl 1064.32021
 Strongly pseudoconvex handlebodies (with J. Kozak). J. Korean Math. Soc. 40 (2003) 727745. PDF MR 1995074 Zbl 1044.32025
 Stein domains in complex surfaces. J. Geom. Anal. 13 (2003) 7794. PDF MR 1967038 Zbl 1039.32013
 The Oka principle for multivalued sections of ramified mappings. Forum Math. 15 (2003) 309328. PDF MR 1956971 Zbl 1023.32007
 The homotopy principle in complex analysis: A survey. In: Explorations in Complex and Riemannian Geometry, 7399; Contemp. Math., 332, Amer. Math. Soc., Providence, RI (2003). PDF MR 2016091 Zbl 1048.32004
 Embedding some bordered Riemann surfaces in the affine plane (with M. Černe). Math. Res. Lett. 9 (2002) 683696. PDF MR 1906070 Zbl 1030.32013
 The Oka principle for sections of subelliptic submersions. Math. Z. 241 (2002) 527551. PDF MR 1938703 Zbl 1023.32008
 Oka's principle for holomorphic submersions with sprays (with J. Prezelj). Math. Ann. 322 (2002) 633666. PDF MR 1905108 Zbl 1011.32006
 Solving the d and dibarequations in thin tubes and applications to mappings (with E. Løw and N. Øvrelid). Michigan Math. J. 49 (2001) 369416. PDF MR 1852309 Zbl 1016.32018
 Proper holomorphic discs in ℂ^{2} (with J. Globevnik) Math. Res. Lett. 8 (2001) 257274. PDF MR 1839476 Zbl 1027.32018
 On complete intersections. Ann. Inst. Fourier 51 (2001) 497512. PDF MR 1824962 Zbl 0991.32008
 Extending holomorphic sections from complex subvarieties (with J. Prezelj). Math. Z. 236 (2001) 4368. PDF MR 1812449 Zbl 0968.32005
 An interpolation theorem for holomorphic automorphisms of ℂ^{n} (with G. Buzzard). J. Geom. Anal. 10 (2000) 101108. PDF MR 1758584 Zbl 0963.32014
 Oka's principle for holomorphic fiber bundles with sprays (with J. Prezelj). Math. Ann. 317 (2000) 117154. PDF MR 1760671 Zbl 0964.32017
 Interpolation by holomorphic automorphisms and embeddings in ℂ^{n}. J. Geom. Anal. 9 (1999) 93118. PDF MR 1760722 Zbl 0963.32006
 Holomorphic equivalence of smooth submanifolds in ℂ^{n} (with E. Løw). Indiana Univ. Math. J. 46 (1997) 133153. PDF MR 0883.32014 Zbl 0883.32014
 A Carleman type theorem for proper holomorphic embeddings (with G. Buzzard). Ark. Mat. 35 (1997) 157169. PDF MR 1443039 Zbl 0886.32014
 Actions of (R,+) and (C,+) on complex manifolds. Math. Z. 223 (1996) 123153. PDF MR 1408866 Zbl 0872.32021
 Embedding holomorphic discs through discrete sets (with J. Globevnik and B. Stensønes). Math. Ann. 305 (1996) 559569. PDF MR1397436 Zbl 0859.32010
 Non straightenable complex lines in ℂ^{2} (with J. Globevnik and J.P. Rosay). Ark. Mat. 34 (1996) 97101. PDF MR 1396625 Zbl 0853.58015
 Flows on ℂ^{2} with polynomial time one map (with P. Ahern and D. Varolin). Complex Var. Theory Appl. 29 (1996) 363366. PDF MR1390620 Zbl 0854.32018
 Holomorphic automorphisms of ℂ^{n}: A survey. In: Complex Analysis and Geometry (Trento, 1993), 173199; Lecture Notes in Pure and Appl. Math., 173, Dekker, New York (1996). PDF MR 1365974 Zbl 0849.32022
 A theorem in complex symplectic geometry. J. Geom. Anal. 5 (1995) 379393. PDF MR 1360826 Zbl 0836.58015
 Limits of complete holomorphic vector fields. Math. Res. Lett. 2 (1995) 401414. PDF MR 1355704 Zbl 0859.32006
 One parameter automorphism groups on ℂ^{2} (with P. Ahern). Complex Var. Theory Appl. 27 (1995) 245268. PDF MR 1333980 Zbl 1278.32021
 Equivalence of real submanifolds under volume preserving holomorphic automorphisms of ℂ^{n}. Duke Math. J. 77 (1995) 431445. PDF MR1321065 Zbl 0831.32009
 Approximation by automorphisms on smooth submanifolds of ℂ^{n}. Math. Ann. 300 (1994) 719738. PDF MR 1314745 Zbl 0821.32028
 Complements of Runge domains and holomorphic hulls. Michigan Math. J. 41 (1994) 297308. PDF MR 1278436 Zbl 0811.32007
 Intersections of totally real and holomorphic discs (with T. Duchamp). Publ. Mat. 37 (1993) 317. PDF MR 1240927 Zbl 0808.32022
 A reflection principle on strongly pseudoconvex domains with generic corners. Math. Z. 213 (1993) 4964. PDF MR 1217670 Zbl 0790.32024
 Approximation of biholomorphic mappings by automorphisms of ℂ^{n} (with J.P. Rosay). Invent. Math. 112 (1993) 323349. PDF MR1213106 Zbl 0792.32011 Erratum: Invent. Math. 118 (1994) 573574. PDF MR 1296357 Zbl 0808.32017
 Proper holomorphic mappings: a survey. In: Several complex variables, MittagLeffler Institute (Stockholm, 198788), 297363; Math. Notes, 38, Princeton Univ. Press, Princeton, NJ (1993). PDF MR 1207867 Zbl 0778.32008
 Intersections of analytic and smooth discs. In: The Madison Symposium on Complex Analysis, Madison, Wisconsin, 1991, pp. 235244. Contemp. Math. 137. Amer. Math. Soc., Providence (1992) PDF MR 1190985 Zbl 0768.32005
 Complex tangents of real surfaces in complex surfaces. Duke Math. J. 67 (1992) 353376. PDF MR 1177310 Zbl 0761.53032
 The length of a set in the sphere whose polynomial hull contains the origin. Indag. Math. (N.S.) 3 (1992) 169172. PDF MR 1168343 Zbl 0762.32007
 An elementary proof of Fefferman's theorem. Expo. Math. 10 (1992) 135150. PDF MR 1164529 Zbl 0759.32018
 Discs in pseudoconvex domains (with J. Globevnik). Comment. Math. Helv. 67 (1992) 129145. PDF MR 1144617 Zbl 0779.32016
 Mappings of quadric CauchyRiemann manifolds. Math. Ann. 292 (1992) 163180. PDF MR 1141791 Zbl 0749.32006
 A smooth holomorphically convex disc in ℂ^{2} that is not locally rationally convex. Proc. Amer. Math. Soc. 116 (1992) 411415. PDF MR 1101982 Zbl 1278.32021
 Admissible boundary values of bounded holomorphic functions in wedges. Trans. Amer. Math. Soc. 332 (1992) 583593. PDF MR 1087055 Zbl 1278.32021
 Mappings of strongly pseudoconvex CauchyRiemann manifolds. Several complex variables and complex geometry, Santa Cruz, 1989, Proc. Symp. Pure Math. 52, Part 1, 5992. Amer. Math. Soc., Providence (1991). PDF MR 1128516 Zbl 0739.32022
 A new class of polynomially convex sets in ℂ^{2} (with E. L. Stout). Ark. Mat. 29 (1991) 5162. PDF MR 1115074 Zbl :0734.32006
 A totally real threesphere in ℂ^{3} bounding a family of analytic discs. Proc. Amer. Math. Soc. 108 (1990) 887892. PDF MR 1038758 Zbl 0688.32016
 Extending proper holomorphic mappings of positive codimension. Invent. Math. 95 (1989) 3162. PDF MR 0969413 Zbl 0633.32017
 Polynomial hulls of sets fibered over the circle. Indiana Univ. Math. J. 37 (1988) 869889. PDF MR 0982834 Zbl 0647.32017
 Regularity of varieties in strictly pseudoconvex domains. Publ. Mat. 32 (1988) 145150. PDF MR 0939779 Zbl 0737.32008
 Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings (with J.P. Rosay). Math. Ann. 279 (1987) 239252. PDF MR 0919504 Zbl 0644.32013
 Analytic disks with boundaries in a maximal real submanifold of ℂ^{2}. Ann. Inst. Fourier 37 (1987) 144. PDF MR 0894560 Zbl 0583.32038
 On totally real embeddings into ℂ^{n}. Exposition. Math. 4 (1986) 243255. PDF MR 0880125 Zbl 0597.57018
 Polynomially convex hulls with piecewise smooth boundaries. Math. Ann. 276 (1986) 97104. PDF MR 0863710 Zbl 0585.32016
 On the boundary regularity of proper holomorphic mappings. Ann. Sc. Norm. Sup. Pisa Cl. Sci. (4) 13 (1986) 109128. PDF MR 0863637 Zbl 0605.32011
 Proper holomorphic maps from balls. Duke Math. J. 53 (1986) 427441. PDF MR 0850544 Zbl 0603.32019
 Embedding strictly pseudoconvex domains into balls. Trans. Amer. Math. Soc. 295 (1986) 347368. PDF MR 0831203 Zbl 0594.32024
 Some totally real embeddings of threemanifolds. Manuscripta Math. 55 (1986) 17. PDF MR 0828408 Zbl 0586.32027
 Stability of polynomial convexity of totally real sets. Proc. Amer. Math. Soc. 96 (1986) 489494. PDF MR 0822446 Zbl 0588.32016
Articles in Slovenian
Recent lectures at international conferences
 Euclidean domains in complex manifolds. The Conference on Complex Geometric Analysis in honor of KangTae Kim's 65th birthday, POSTECH, Pohang, Korea, 11th14th January 2022
 Hyperbolic domains in real Euclidean spaces. Complex Analysis and Geometry, Ufa, Russia, 1619 November 2021
 Hyperbolic domains in real Euclidean spaces. International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin, Steklov Mathematical Institute, Moscow, 1115 October 2021
 Minimal surfaces from a complex analytic viewpoint. Plenary lecture, 8th European Congress of Mathematics, Portorož, Slovenia, 2025 June 2021
 SchwarzPick lemma for harmonic maps which are conformal at a point. Geometric Methods of Complex Analysis, Oberwolfach, 1622 May 2021
 Mergelyan's and Arakelian's theorems for manifoldvalued maps. 27th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (ICFIDCAA), Krasnoyarsk, 1115 August 2019
 Hprinciple for complex contact structures on Stein manifolds. Analysis and CR geometry, ESI  Vienna, Austria, 1014 December 2018
 Runge tubes. Holomorphic Elliptic Geometry and Group Actions, University of Bern, Switzerland, 57 September 2018
 Runge tubes. Hayama Symposium on Several Complex Variables XX joint with Pacific Rim ComplexSymplectic Geometry conference, Shonan Village Center, Hayama, Japan, 1317 July 2018
 New developments in nonlinear holomorphic approximation theory. CRGeometry and PDE'sVIII, Levico Terme, Trento, Italy, 48 June 2018
 Nonlinear holomorphic approximation theory. Complex Analysis and Related Topics, Euler International Mathematical Institute, St. Petersburg, 2327 April 2018
 Runge tubes. Second Central European Complex Analysis Meeting, University of Vienna, Austria, 1214 April 2018
 A properly embedded holomorphic disc in the ball with finite area and dense boundary curve. Complex Geometry for Serguei Ivashkovych's 60th anniversary, Lille, 2324 November 2017
 Proper holomorphic embeddings and immersions into Stein manifolds with the density property. International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin, Steklov Mathematical Institute, Moscow, 910 October 2017
 Divisors defined by noncritical functions. Workshop on ∂ at NTNU Trondheim, Norway, 58 October 2017
 Proper holomorphic mappings of Stein manifolds. Festkolloquium Anlässlich des 80. Geburtstags von Otto Forster, Ludwig MaximiliansUniversität München, 14 July 2017
 Holomorphic immersions and embeddings of Stein manifolds into Stein manifolds with the density property. The KSCV12 Symposium; The 12th Korean Conference on Several Complex Variables  in honor of KangTae Kim's 60th birthday, The Kolon Hotel in GyeongJu, South Korea, 37 July 2017
 Holomorphic Legendrian curves and Darboux charts. Complex Analysis and Geometry  XXIII, Levico Terme (Trento), Italy, 1115 June 2017
 Holomorphic Legendrian curves. Conference on Complex Geometry, Dynamical Systems and Foliation Theory, Institute for Mathematical Sciences, National University of Singapore, 1519 May 2017
 Complete bounded submanifolds in different geometries. Workshop su varietà reali e complesse: geometria, topologia e analisi armonica, Scuola Normale Superiore, Palazzo della Carovana, Pisa, Italy, 2426 February 2017
 New complex analytic methods in the study of nonorientable minimal surfaces in R^{n}. The INdAM Workshop Complex function theory, its generalizations and applications, Rome, Italy, 1216 September 2016
 A long C^{2} without holomorphic functions. CR Geometry and PDE's  VII, dedicated to the memory of Giuseppe Zampieri, Levico Terme (Trento), Italy, 26 June  1 July 2016
 Every meromorphic function is the Gauss map of a conformal minimal surface. INdAM Meeting Complex and Symplectic Geometry, Cortona, Italy, 1317 June 2016
 The hprinciple for minimal surfaces in R^{n} and null curves in C^{n}. Complex Analysis and Complex Geometry, Banff International Research Station, Banff, Canada, 16 May 2016
 Nonorientable minimal surfaces in R^{n}. Several complex variables and CR geometry, Erwin Schrödinger Institute, Vienna, Austria, 313 November 2015
 Minimal surfaces in minimally convex domains. The Eighth Workshop on Geometric Analysis of PDEs and Several Complex Variables, Serra Negra, Sāo Paulo, Brazil, 37 August 2015
 Minimal surfaces in minimally convex domains. Complex Analysis and Geometry  XXII, Levico Terme, Italy, 15 June 2015
 Complete conformal minimal surfaces with Jordan boundaries in R^{n}. NORDAN 2015, University of Iceland, Reykjavik, Iceland, 2526 April 2015
 Minimal hulls of compact sets in R^{3}. NorwegianSpanish Workshop in Complex Variables and Applications, Complutense University of Madrid, Spain, 1920 February 2015
 Minimal hulls of compact sets in R^{3}. Geometric Methods of Complex Analysis, Mathematisches Forschungsinstitut Oberwolfach, Germany, 2531 January 2015
 Noncritical holomorphic functions on Stein spaces. Analysis and geometry in several complex variables, Texas A&M University at Qatar, Doha, Qatar, 48 January 2015
 The OkaGrauert principle: its first 75 years (plenary lecture). Gedenkkolloquium für Hans Grauert, University of Bonn, Germany, 27 June 2014
 The Hodge conjecture for qcomplete manifolds. CR Geometry and PDE's  VI, Levico Terme, Italy, 2327 June 2014
 Complex analysis and the conformal CalabiYau problem. Abel Symposium 2013, Trondheim, Norway, 25 July 2013
 The conformal CalabiYau problem. Complex Analysis and Geometry  XXI, Levico Terme (Trento), Italy, 27 June 2013
 Nullcurves and directed immersions of Riemann surfaces. Workshop Geometric and Complex Analysis, Granada, Spain, 2223 November 2012
 Every bordered Riemann surface is a complete proper curve in a ball. Geometric Methods in Several Complex Variables, Lille, France, 2526 October 2012
 Embeddings of infinitely connected planar domains into ℂ^{2}. Conference on CR Geometry and PDE's  V, Levico Terme, Trento, Italy, 58 June 2012
 Two theorems on Riemann surfaces. Workshop in several complex variables, University of Amsterdam, The Netherlands, 1216 December 2011
 What is an Oka manifold? Plenary lecture, OeMGTagung  CSASC 2011, Krems, Austria, 2528 September 2011.
 The PoletskyRosay theorem on singular complex spaces. Conference on Several Complex Variables on the occasion of Professor Józef Siciak's 80th birthday, Jagielonnian University, Krakow, Poland, 48 July 2011
 The PoletskyRosay theorem on singular complex spaces. Southern California Analysis and PDE Conference, U.C. San Diego, California, 2829 May 2011
 Embedding Riemann surfaces in ℂ^{2}. Almost complex geometry and foliations, Lille, France, 2329 May 2010
 Recent advances in elliptic complex geometry. Recent Advances in Function Related Operator Theory, Rincón, Puerto Rico, 2226 March 2010
Lectures at international schools
 Applications of complex analysis to minimal surfaces. Partial Differential Equations in Complex Geometry and Singular Spaces, American University in Beirut, 2427 November 2014. Lecture 1 Lecture 2 Lecture 3
 Oka Manifolds. Komplex Analysis Winter School KAWA4, Toulouse, France, 2124 January 2013. Lecture Notes
 Nonsingular holomorphic foliations on Stein manifolds. Foliations, pseudoholomorphic curves, applications, Institut Fourier, University of Grenoble, France, 18 June  6 July 2012
 Noncritical holomorphic functions on Stein manifolds. Variétés complexes et feuilletages, IRMA Strasbourg, France, 710 June 2010
Organization of international conferences and PhD schools
 Frontiers in Elliptic Holomorphic Geometry, Jevnaker, Norway, 1014 October 2016
 Workshop in Complex Analysis  Ljubljana 2016, FMF and IMFM, Ljubljana, Slovenia, 2426 March 2016
 Sanya School in Complex Analysis and Geometry, Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China, 1120 January 2016
 Complex Analysis, Geometry and Dynamics  School and Workshop, International Centre for Theoretical Physics (ICTP), Trieste, Italy, 21 September  3 October 2015
 International Conference on Complex Geometry and Several Complex Variables, East China Normal University, Shanghai, China, 1115 May 2015
 Several Complex Variables Symposium, Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China, 1216 May 2014
 Minisymposium on Several Complex Variables, CSASC, Primorska University, Koper, Slovenia, 1012 June 2013
 Workshop Geometric and Complex Analysis, Granada, Spain, 2223 November 2012
 Several Complex Variables  Ljubljana 2012, University of Ljubljana, Slovenia, 2729 September 2012
 Minisymposium on Complex Analysis, OeMGTagung  CSASC 2011, University of Krems, Austria, 2528 September 2011
 Member of the Scientific Committee of KAWA (a series of PhD schools and conferences), 20092016
 Several Complex Variables and Connections with PDEs and Geometry, Fribourg, Switzerland, 711 July 2008
 The International Summer School in Several Complex Variables, Szczyrk, Poland, 1923 June 2006
 A Symposium in Complex Analysis  Slovenia 2006, Kranjska Gora, Slovenia, 710 June 2006
 Conference on Complex Analysis}, University of Wisconsin, Madison, USA, 1619 March 2006
 Seattle Symposium on Complex Analysis, University of Washington, Seattle, USA, March 1998
 Geometric and analytic methods in several complex variables (Special session), AMS regional meeting, Iowa City, USA, March 1996
 Midwest several complex variables seminar, University of Wisconsin, Madison, USA, April 1995
Beamer files of lectures:
 Mergelyan approximation theorem for holomorphic Legendrian curves. Department of Mathematics, University of Ljubljana, 25 February 2020
 The CalabiYau problem for minimal surfaces of finite genus and countably many ends. Department of Mathematics, University of Ljubljana, 7 January 2020
 Runge tubes. Geometria Complessa e Geometria Differenziale, Dipartimento di Matematica, Università degli Studi di Firenze, Italia, 24 Maggio 2018
 Runge tubes. Istanbul Analysis Seminars, Sabanci University, Istanbul, Turkey, 16 March 2018
 A properly embedded holomorphic disc in the ball with finite area and dense boundary curve. Geometry Seminar, University of Granada, Spain, 9 February 2018
 Holomorphic Legendrian curves. Differential Geometry Seminar, University of Adelaide, 26 May 2017
 Complete bounded submanifolds in different geometries. Dublin Mathematics Colloquium, Trinity College, Dublin, 30 March 2017
 Every meromorphic function is the Gauss map of a conformal minimal surface. Geometry Seminar, University of Granada, Spain, 27 January 2017
 Every meromorphic function is the Gauss map of a conformal minimal surface. Center for Advanced Study, Oslo, 17 November 2016
 The hprinciple for minimal surfaces and null curves. Geometry Seminar, University of Granada, Spain, 18 March 2016
 A long C^{2} without holomorphic functions. Differential Geometry Seminar, University of Adelaide, 29 January 2016.
 Oka manifolds and minimal surfaces. Geometry Seminar, University of Granada, Spain, 13 November 2015
Lectures at international schools:
 The Beirut Lectures on minimal surfaces, AUB, Beirut, Lebanon, 2014: Lecture 1 Lecture 2 Lecture 3
 Oka Manifolds. Lectures at KAWA 4, Toulouse, France, 2013.
Lecture notes for some of my courses (in Slovenian):
A few of my favorite places
Triglav,
Triglav from Mrežce,
A late Summer evening on Uskovnica
Furkapass,
Grimselpass,
Jungfraujoch,
Jungfrau with a star
Kvarner,
Moščenička Draga,
Motovun in Istria,
Kamenjak,
On Kamenjak,
Portić,
A pine tree in Portić
Dubrovnik and Lokrum,
Dubrovnik with old port,
Mare Adriatico
Lago di Garda 1
2
3
4
5
6,
In Dolomiti 1
2
3,
Passo di Resia
Cinque Terre,
In Cinque Terre,
Monterosso,
Vernazza,
Mare Liguro
Eze 1
2
3,
Ladies of Eze 1
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3
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5
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7
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10
MoustiersSainte Marie en Provence 1
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Luminy  Calanque Sugiton 1
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Granada 1
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Puerto Rico 1
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Adelaide botanical garden 1
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3,
Titan Arum 1,
2,
Sunset in Glenelg 1
2
3,
Sunset with seagull
Barossa valley 1
2,
McLaren Vale 1
2
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4,
Australia in motion,
Southern Ocean 1
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Heaven on Earth 1
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3
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5
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9,
And yet another one 1
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Eva's art
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