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 Member of Slovenian Academy of Sciences and Arts 
CV Publications MathSciNet Zentralblatt arXiv CRIS ORCID GoogleScholar
International Journal of Mathematics, Member of the editorial board
Stein Manifolds and Holomorphic Mappings 2018, Ljubljana, 1721 September 2018
Seminar for Complex Analysis, 1975

I am a coordinator of the Seminar for Complex Analysis at the Department of Mathematics,
University of Ljubljana
and
Institute of Mathematics, Physics and Mechanics.
During the academic year the seminar meets on Tuesdays at 12:30 in room 3.06, Jadranska 21,
and exceptionally on Thursdays at 12:15 in Plemljev Seminar, Jadranska 19III.
It covers primarily topics in complex analysis, geometry, harmonic analysis, and
partial differential equations.
The seminar activity will continue in the Fall semester 2018.
Internal instructions for application to host a guest in the seminar are available
here
and
there.
Research interests and grants

My research interests lie primarily in complex analysis, analytic geometry, Riemann surfaces, minimal surfaces, and holomorphic contact geometry. I have introduced in the literature the class of
Oka Manifolds,
named after
Kiyoshi Oka;
see the introductory note by Finnur Lárusson,
What is...an Oka manifold?
The class of Oka manifolds is in a precise homotopy theoretic sense dual to the class of
Stein manifolds
and is opposite to the class of
hyperbolic manifolds.
Oka theory
is the main subject of my monograph
Stein Manifolds and Holomorphic Mappings (Springer, 2011 and 2017).
I am coordinating the research program
P10291 Analysis and Geometry
(201520) and the grant
J17256 (201618) financed by
ARRS, Republic of Slovenia.
Research activities of members of project teams cover a wide array of topics in complex analysis and geometry,
global analysis, minimal surfaces, harmonic analysis, partial differential equation, integrable systems, and
numerical analysis. A list of my past grants is available
here.
Information for prospective PhD students
ESCV Consortium

Together with
John Erik Fornæss,
I am coordinating activities of the European Several Complex Variables Consortium,
ESCV. The Consortium seeks to foster the development of
Several Complex Variables
(SCV) and related areas of Mathematics among its European member groups,
to stimulate bilateral exchanges with the SCV groups in Greater China, and to promote organization of
joint international conferences and PhD schools by member groups.
I am a member of the Steering Committee of the
Tsinghua Sanya International Mathematics Forum
(director Prof.
ShingTung Yau),
a conference center associated to the Tsinghua University and located in
Sanya, Hainan, China.
Books
 Stein manifolds and holomorphic mappings. The homotopy principle in complex analysis (2nd edn.). Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 56. Berlin: Springer (ISBN 9783319610573/hbk; 9783319610580/ebook). xiv, 562 p. (2017). MR3700709 Zbl 06737283
 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
 Holomorphic approximation: the legacy of Weierstrass, Runge, OkaWeil, and Mergelyan (with J. E. Fornæss and E. F. Wold). Preliminary version; remarks are welcome. The version posted here is more recent than the one on arXiv.
 Runge tubes in Stein manifolds with the density property (with E. F. Wold). arXiv
 Mergeljan's and Arakeljan's theorems for manifoldvalued maps. arXiv
 New complex analytic methods in the theory of minimal surfaces: a survey (with A. Alarcón). J. Austral. Math. Soc., to appear. arXiv
 Holomorphic embeddings and immersions of Stein manifolds: a survey. To appear in Geometric Complex Analysis (Proceedings of the KSCV12 Symposium, GyeongJu, South Korea, 2017), Springer Proceedings in Mathematics and Statistics. arXiv
 Proper holomorphic immersions into Stein manifolds with the density property. J. Anal. Math., to appear. arXiv
 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., to appear. arXiv
 The parametric hprinciple for minimal surfaces in R^{n} and null curves in C^{n} (with F. Lárusson). Comm. Anal. Geom., to appear. arXiv
Online first publications
 Minimal surfaces in minimally convex domains (with A. Alarcón, B. Drinovec Drnovšek, and F. J. López). Trans. Amer. Math. Soc., to appear. arXiv
 A properly embedded holomorphic disc in the ball with finite area and dense boundary curve. Math. Ann., to appear. arXiv
 Darboux charts around holomorphic Legendrian curves and applications (with A. Alarcón). Internat. Math. Res. Not. (IMRN); to appear. arXiv
 Every meromorphic function is the Gauss map of a conformal minimal surface (with A. Alarcón and F.J. López). J. Geom. Anal., to appear. Full text view only. 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.), to appear. arXiv
Research papers 20132018
 Divisors defined by noncritical functions. Proc. Amer. Math. Soc., 146:7 (2018) 29852994. arXiv
 The Oka principle for holomorphic Legendrian curves in C^{2n+1} (with F. Lárusson). Math. Z., 288 (2018) 643663. MR3774429 arXiv
 Complete densely embedded complex lines in C^{2} (with A. Alarcón). Proc. Amer. Math. Soc. 146:3 (2018) 10591067. MR3750218 arXiv
 Surjective holomorphic maps onto Oka manifolds. In: Complex and Symplectic Geometry (Proceedings of the INdAM Meeting Complex and Symplectic Geometry, Cortona, 2016), pp. 7384. Springer INdAM Series, Vol. 21 (2017). arXiv
 Hyperbolic complex contact structures on C^{2n+1}. J. Geom. Anal. 27:4 (2017) 31663175. Full text view only MR3708010 arXiv
 Holomorphic Legendrian curves (with A. Alarcón and F. J. López). Compositio Math. 153:9 (2017) 19451986. MR3705282 arXiv
 A long C^{2} without holomorphic functions (with L. Boc Thaler). Analysis & PDE 9:8 (2016) 20312050. MR3599525 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 (2016) 135150. Full text view only. MR3574650 arXiv
 Noncritical holomorphic functions on Stein spaces. J. Eur. Math. Soc. (JEMS) 18:11 (2016) 25112543. MR3562350 arXiv
 Embedded minimal surfaces in R^{n} (with A. Alarcón and F. J. López). Math. Z. 283:1 (2016) 124 MR3489056 arXiv
 On the Hodge conjecture for qcomplete manifolds (with J. Smrekar and A. Sukhov). Geom. & Topol. 20:1 (2016), 353388. MR3470716 arXiv
 Minimal hulls of compact sets in R^{3} (with B. Drinovec Drnovšek). Trans. Amer. Math. Soc. 368:10 (2016) 74777506. MR3471098 arXiv
 The CalabiYau problem, null curves, and Bryant surfaces (with A. Alarcón). Math. Ann. 363:34 (2015) 913951. MR3412347 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 (2015) 851886. MR3407187 arXiv
 FatouBieberbach domains in ℂ^{n}\R^{k} (with E. F. Wold). Ark. Mat. 53:2 (2015) 259270. MR3391171 arXiv
 A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions. J. Geom. Anal. 25:1 (2015) 329335. MR3299284 arXiv
 Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space (with F. Lárusson). Math. Res. Lett. 21:5 (2014) 10471067. MR3294562 arXiv
 Holomorphic flexibility properties of compact complex surfaces (with F. Lárusson). Int. Math. Res. Not. IMRN 13 (2014) 37143734. MR3229766 arXiv
 Oka properties of ball complements (with T. Ritter). Math. Z. 277:1 (2014) 325338. MR3205776 arXiv Notice: the published version essentially coincides with v5 posted on the arXiv. The proofs of Theorem 1, Corollary 2 and Theorem 15 given in the paper are incomplete in the special case when the set L is polynomially convex and the real dimension of X equals n. However, these proofs can be completed by applying Lemma 3.1 in the preprint Proper holomorphic immersions into Stein manifolds with the density property (March 2017), to appear in J. Anal. Math.
 Null curves and directed immersions of open Riemann surfaces (with A. Alarcón). Inventiones Math. 196:3 (2014) 733771. MR3211044 arXiv
 Every bordered Riemann surface is a complete proper curve in a ball (with A. Alarcón). Math. Ann. 357:3 (2013) 10491070. MR3118624 arXiv
 GunningNarasimhan's theorem with a growth condition (with T. Ohsawa). J. Geom. Anal. 23:3 (2013) 10781084. MR3078344 arXiv Japanese translation
 Embeddings of infinitely connected planar domains into ℂ^{2} (with E. F. Wold). Analysis & PDE 6:2 (2013) 499514. MR3071396 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 MR3117017 arXiv
 The PoletskyRosay theorem on singular complex spaces (with B. Drinovec Drnovšek). Indiana Univ. Math. J. 61 (2012) 17071423. PDF MR3085613 arXiv
 Disc functionals and SiciakZaharyuta extremal functions on singular varieties (with B. Drinovec Drnovšek). Ann. Polon. Math. 106 (2012) 171191. PDF MR2995450 arXiv
 Holomorphic families of long ℂ^{2}'s. Proc. Amer. Math. Soc. 140 (2012) 23832389. PDF MR2898700 arXiv
 Invariance of the parametric Oka property. Complex Analysis, 125144. Trends in Math., Birkhäuser (2010). PDF MR2885112
 The Oka principle for sections of stratified fiber bundles. Pure Appl. Math. Quarterly 6 (2010) 843874. PDF MR2677316
 Strongly pseudoconvex Stein domains as subvarieties of complex manifolds (with B. Drinovec Drnovšek). Amer. J. Math. 132 (2010) 331360. PDF MR2654777
 Oka Maps. C. R. Acad. Sci. Paris Ser. I 348 (2010) 145148. PDF MR2600066
 Fibrations and Stein neighborhoods (with E.F. Wold). Proc. Amer. Math. Soc. 138 (2010) 20372042. PDF MR2596039
 Oka Manifolds. C. R. Acad. Sci. Paris, Ser. I 347 (2009) 10171020. PDF MR2554568
 Bordered Riemann surfaces in ℂ^{2} (with E. F. Wold). J. Math. Pures Appl. 91 (2009) 100114. PDF MR2487902
 Approximation of holomorphic mappings on strongly pseudoconvex domains (with B. Drinovec Drnovšek). Forum Math. 20 (2008) 817840. PDF MR2445119
 Stein compacts in Leviflat hypersurfaces (with C. LaurentThiébaut). Trans. Amer. Math. Soc. 360 (2008) 307329. PDF MR2342004
 Holomorphic curves in complex spaces (with B. Drinovec Drnovšek). Duke Math. J. 139 (2007) 203254. PDF MR2352132
 Deformations of Stein structures and extensions of holomorphic mappings (with M. Slapar). Math. Res. Lett. 14 (2007) 343357. PDF MR2318630
 An interpolation theorem for proper holomorphic embeddings (with B. Ivarsson, F. Kutzschebauch and J. Prezelj). Math. Ann. 338 (2007) 545554. PDF MR2317930
 Manifolds of holomorphic mappings from strongly pseudoconvex domains. Asian J. Math. 11 (2007) 113126. PDF MR2304585
 Stein structures and holomorphic mappings (with M. Slapar). Math. Z. 256 (2007) 615646. PDF MR2299574
 A contractible Leviflat hypersurface in ℂ^{2} which is a determining set for pluriharmonic functions. Ark. Math. 44 (2006) 8791 PDF MR2237212
 Runge approximation on convex sets implies Oka's property. Ann. of Math. (2) 163 (2006) 689707. PDF MR2199229
 Holomorphic flexibility properties of complex manifolds. Amer. J. Math. 128 (2006) 239270. PDF MR2197073
 Holomorphic discs with dense images (with J. Winkelmann). Math. Res. Lett. 12 (2005) 265268. PDF MR2150882
 Extending holomorphic mappings from subvarieties in Stein manifolds. Ann. Inst. Fourier 55 (2005) 733751. PDF MR2149401
 Holomorphic submersions from Stein manifolds. Ann. Inst. Fourier 54 (2004) 19131942. PDF MR2134229
 Most real analytic CauchyRiemann manifolds are nonalgebraizable. Manuscripta Math. 115 (2004) 489494. PDF MR2103663
 Noncritical holomorphic functions on Stein manifolds. Acta Math. 191 (2003) 143189. PDF MR2051397
 Strongly pseudoconvex handlebodies (with J. Kozak). J. Korean Math. Soc. 40 (2003) 727745. PDF MR1995074
 Stein domains in complex surfaces. J. Geom. Anal. 13 (2003) 7794. PDF MR1967038
 The Oka principle for multivalued sections of ramified mappings. Forum Math. 15 (2003) 309328. PDF MR1956971
 Embedding some bordered Riemann surfaces in the affine plane (with M. Černe). Math. Res. Lett. 9 (2002) 683696. PDF MR1906070
 The Oka principle for sections of subelliptic submersions. Math. Z. 241 (2002) 527551. PDF MR1938703
 Oka's principle for holomorphic submersions with sprays (with J. Prezelj). Math. Ann. 322 (2002) 633666. PDF MR1905108
 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 MR1852309
 Proper holomorphic discs in ℂ^{2} (with J. Globevnik) Math. Res. Lett. 8 (2001) 257274. PDF MR1839476
 On complete intersections. Ann. Inst. Fourier 51 (2001) 497512. PDF MR1824962
 Extending holomorphic sections from complex subvarieties (with J. Prezelj). Math. Z. 236 (2001) 4368. PDF MR1812449
 An interpolation theorem for holomorphic automorphisms of ℂ^{n} (with G. Buzzard). J. Geom. Anal. 10 (2000) 101108. PDF MR1758584
 Oka's principle for holomorphic fiber bundles with sprays (with J. Prezelj). Math. Ann. 317 (2000) 117154. PDF MR1760671
 Interpolation by holomorphic automorphisms and embeddings in ℂ^{n}. J. Geom. Anal. 9 (1999) 93118. PDF MR1760722
 Holomorphic equivalence of smooth submanifolds in ℂ^{n} (with E. Løw). Indiana Univ. Math. J. 46 (1997) 133153. PDF MR1462799
 A Carleman type theorem for proper holomorphic embeddings (with G. Buzzard). Ark. Mat. 35 (1997) 157169. PDF MR1443039
 Actions of (R,+) and (C,+) on complex manifolds. Math. Z. 223 (1996) 123153. PDF MR1408866
 Embedding holomorphic discs through discrete sets (with J. Globevnik and B. Stensønes). Math. Ann. 305 (1996) 559569. PDF MR1397436
 Non straightenable complex lines in ℂ^{2} (with J. Globevnik and J.P. Rosay). Ark. Mat. 34 (1996) 97101. PDF MR1396625
 Flows on ℂ^{2} with polynomial time one map (with P. Ahern and D. Varolin). Complex Var. Theory Appl. 29 (1996) 363366. PDF MR1390620
 A theorem in complex symplectic geometry. J. Geom. Anal. 5 (1995) 379393. PDF MR1360826
 Limits of complete holomorphic vector fields. Math. Res. Lett. 2 (1995) 401414. PDF MR1355704
 One parameter automorphism groups on ℂ^{2} (with P. Ahern). Complex Var. Theory Appl. 27 (1995) 245268. PDF MR1333980
 Equivalence of real submanifolds under volume preserving holomorphic automorphisms of ℂ^{n}. Duke Math. J. 77 (1995) 431445. PDF MR1321065
 Approximation by automorphisms on smooth submanifolds of ℂ^{n}. Math. Ann. 300 (1994) 719738. PDF MR1314745
 Complements of Runge domains and holomorphic hulls. Michigan Math. J. 41 (1994) 297308. PDF MR1278436
 Intersections of totally real and holomorphic discs (with T. Duchamp). Publ. Mat. 37 (1993) 317. PDF MR1240927
 A reflection principle on strongly pseudoconvex domains with generic corners. Math. Z. 213 (1993) 4964. PDF MR1217670
 Approximation of biholomorphic mappings by automorphisms of ℂ^{n} (with J.P. Rosay). Invent. Math. 112 (1993) 323349. PDF MR1213106 Erratum: Invent. Math. 118 (1994) 573574. PDF MR1296357
 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 MR1190985
 Complex tangents of real surfaces in complex surfaces. Duke Math. J. 67 (1992) 353376. PDF MR1177310
 The length of a set in the sphere whose polynomial hull contains the origin. Indag. Math. (N.S.) 3 (1992) 169172. PDF MR1168343
 An elementary proof of Fefferman's theorem. Expo. Math. 10 (1992) 135150. PDF MR1164529
 Discs in pseudoconvex domains (with J. Globevnik). Comment. Math. Helv. 67 (1992) 129145. PDF MR1144617
 Mappings of quadric CauchyRiemann manifolds. Math. Ann. 292 (1992) 163180. PDF MR1141791
 A smooth holomorphically convex disc in ℂ^{2} that is not locally rationally convex. Proc. Amer. Math. Soc. 116 (1992) 411415. PDF MR1101982
 Admissible boundary values of bounded holomorphic functions in wedges. Trans. Amer. Math. Soc. 332 (1992) 583593. PDF MR1087055
 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 MR1128516
 A new class of polynomially convex sets in ℂ^{2} (with E. L. Stout). Ark. Mat. 29 (1991) 5162. PDF MR1115074
 A totally real threesphere in ℂ^{3} bounding a family of analytic discs. Proc. Amer. Math. Soc. 108 (1990) 887892. PDF MR1038758
 Extending proper holomorphic mappings of positive codimension. Invent. Math. 95 (1989) 3162. PDF MR0969413
 Polynomial hulls of sets fibered over the circle. Indiana Univ. Math. J. 37 (1988) 869889. PDF MR0982834
 Regularity of varieties in strictly pseudoconvex domains. Publ. Mat. 32 (1988) 145150. PDF MR0939779
 Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings (with J.P. Rosay). Math. Ann. 279 (1987) 239252. PDF MR0919504
 Analytic disks with boundaries in a maximal real submanifold of ℂ^{2}. Ann. Inst. Fourier 37 (1987) 144. PDF MR0894560
 On totally real embeddings into ℂ^{n}. Exposition. Math. 4 (1986) 243255. PDF MR0880125
 Polynomially convex hulls with piecewise smooth boundaries. Math. Ann. 276 (1986) 97104. PDF MR0863710
 On the boundary regularity of proper holomorphic mappings. Ann. Sc. Norm. Sup. Pisa Cl. Sci. (4) 13 (1986) 109128. PDF MR0863637
 Proper holomorphic maps from balls. Duke Math. J. 53 (1986) 427441. PDF MR0850544
 Embedding strictly pseudoconvex domains into balls. Trans. Amer. Math. Soc. 295 (1986) 347368. PDF MR0831203
 Some totally real embeddings of threemanifolds. Manuscripta Math. 55 (1986) 17. PDF MR0828408
 Stability of polynomial convexity of totally real sets. Proc. Amer. Math. Soc. 96 (1986) 489494. PDF MR0822446
Research expository articles
 Null holomorphic curves in ℂ^{3} and the conformal CalabiYau problem (with A. Alarcón). In: Complex Geometry and Dynamics (The Abel Symposium 2013, Fornæss, J.E., Irgens, M., Wold, E.F., Eds.), 101121. Abel Symposia, vol. 10, SpringerVerlag (2015). PDF arXiv
 Gromov's contribution to the Oka principle. In: A few snapshots from the work of Mikhail Gromov. Holden, H.; Piene, R., Eds., The Abel Prize 20082012. Springer, Heidelberg (2014), pp. 161165. PDF MR3185030
 Oka manifolds: from Oka to Stein and back. With an appendix by F. Lárusson. Ann. Fac. Sci. Toulouse Math. (6), XXII (2013), No. 4, 747809. PDF MR3137250 arXiv
 Survey of Oka theory (with F. Lárusson). New York J. Math., 17a (2011), 128. PDF MR2782726
 Abelova nagrada 2009 Mikhaelu Gromovu. (Slovenian) (The Abel prize 2009 to Mikhael Gromov.) Obzornik mat. fiz. 57 (2010) 2, 4152. PDF MR2677126
 Princip OkaGrauertGromov in uporaba v kompleksni geometriji. (Slovenian; The OkaGrauert principle and its applications in complex geometry). Unpublished, University of Ljubljana (2010). PDF
 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 MR2016091
 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 MR1365974
 Proper holomorphic mappings: a survey. In: Several complex variables, MittagLeffler Institute (Stockholm, 198788), 297363; Math. Notes, 38, Princeton Univ. Press, Princeton, NJ (1993). PDF MR1207867
Recent lectures at international conferences
 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 invited lectures:
 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):
Opinion articles (in Slovenian)
 Matematika in razvoj osebnosti
 Kam želijo slovenske Univerze
 Visoko šolstvo in tržna ekonomija
 Razvoj slovenskega visokošolskega prostora
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
2
3
4
5
6
7
8
9
10
MoustiersSainte Marie en Provence 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Luminy  Calanque Sugiton 1
2
3
4
5
6
Granada 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Puerto Rico 1
2
3
4
5
6
7
8
Adelaide botanical garden 1
2
3,
Titan Arum 1,
2,
Sunset in Glenelg 1
2
3,
Sunset with seagull
Barossa valley 1
2,
McLaren Vale 1
2
3
4,
Australia in motion,
Southern Ocean 1
2
3
4
Heaven on Earth 1
2
3
4
5
6
7
8
9,
And yet another one 1
2
3
4
5
6
7
8
9
10
Eva's art
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