Finnur Larusson

Research Interests

Mathematical Sciences Pure Mathematics

Prof Finnur Larusson

Dean, School of Mathematical Sciences

School of Mathematical Sciences

College of Science

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

I am a professor of pure mathematics. I did my PhD at the University of Chicago and worked at universities in the US and Canada before joining the University of Adelaide in 2006. I do research in complex analysis and complex geometry and related areas of mathematics. I teach courses at all levels and supervise postgraduate students.

My main research area is holomorphic geometry.  My research has involved several other fields of mathematics, in recent years including, for example, dynamics, contact geometry, geometric invariant theory, and the theory of minimal surfaces.  I have active collaborations with mathematicians in several countries.  

Since 2009, I have co-organised ten face-to-face conferences, conference sessions, and workshops in Europe, Canada, and Australia, and two international virtual conferences.  In August to November 2016, I was a research fellow at the Centre for Advanced Study at the Norwegian Academy of Science and Letters in Oslo.  I regularly give invited talks at international conferences.

Date Position Institution name
2025 - ongoing Dean, School of Mathematical Sciences Adelaide University
2023 - 2023 Interim Head, School of Computer and Mathematical Sciences University of Adelaide
2023 - 2025 Discipline Lead, Discipline of Mathematical Sciences University of Adelaide
2021 - 2022 Head, School of Mathematical Sciences University of Adelaide
2021 - 2021 Interim Head, School of Mathematical Sciences University of Adelaide
2006 - ongoing Professor University of Adelaide
1995 - 2007 Professor University of Western Ontario

Date Institution name Country Title
1992 University of Chicago USA PhD

Year Citation
2025 Alarcón, A., & Lárusson, F. (2025). A Strong Parametric h-Principle for Complete Minimal Surfaces. The Journal of Geometric Analysis, 35(2), 29 pages.
DOI Scopus1 WoS1
2025 Forstneric, F., & Larusson, F. (2025). Oka-1 manifolds: New examples and properties. MATHEMATISCHE ZEITSCHRIFT, 309(2), 16 pages.
DOI Scopus1 WoS2
2025 Alarcón, A., & Lárusson, F. (2025). Regular immersions directed by algebraically elliptic cones. Journal für die reine und angewandte Mathematik (Crelles Journal), 2025(823), 113-135.
DOI
2025 AROSIO, L., & LÁRUSSON, F. (2025). Dynamics of generic automorphisms of Stein manifolds with the density property. Ergodic Theory and Dynamical Systems, 45(11), 1-20.
DOI Scopus1
2025 Arosio, L., & Lárusson, F. (2025). Generic conservative dynamics on Stein manifolds with the volume density property. Complex Analysis and Its Synergies, 11(4).
DOI
2024 Alarcón, A., & Lárusson, F. (2024). The space of Gauss maps of complete minimal surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 25(2), 669-688.
DOI Scopus2 WoS2
2023 Arosio, L., & Larusson, F. (2023). Dynamics of generic automorphisms of Stein manifolds with the density
property.
2022 Kutzschebauch, F., Lárusson, F., & Schwarz, G. W. (2022). Equivariant Oka theory: survey of recent progress.. Complex analysis and its synergies, 8(3), 1-13.
DOI Scopus2
2022 Alarcon, A., & Larusson, F. (2022). The space of Gauss maps of complete minimal surfaces.
2022 Arosio, L., & Larusson, F. (2022). Dynamics of generic endomorphisms of Oka-Stein manifolds. Mathematische Zeitschrift, 300(3), 2467-2484.
DOI Scopus2 WoS1
2022 Forstneric, F., & Larusson, F. (2022). Holomorphic Legendrian Curves in Projectivised Cotangent Bundles. Indiana University Mathematics Journal, 71(1), 93-124.
DOI Scopus2 WoS2
2021 Alarcon, A., & Larusson, F. (2021). A strong parametric h-principle for complete minimal surfaces.
2021 Alarcón, A., Forstnerič, F., & Larusson, F. (2021). Holomorphic Legendrian curves in CP³ and superminimal surfaces in S⁴. Geometry and Topology, 25(7), 3507-3553.
DOI Scopus6 WoS6
2021 Kutzschebauch, F., Lárusson, F., & Schwarz, G. W. (2021). Gromov’s Oka principle for equivariant maps. Journal of Geometric Analysis, 31(6), 6102-6127.
DOI Scopus3 WoS2
2020 Arosio, L., & Lárusson, F. (2020). Generic aspects of holomorphic dynamics on highly flexible complex manifolds. Annali di Matematica Pura ed Applicata, 199(4), 1697-1711.
DOI Scopus4 WoS3
2019 Larusson, F., & Truong, T. (2019). Approximation and interpolation of regular maps from affine varieties to algebraic manifolds. Mathematica Scandinavica, 125(1-2), 199-209.
DOI Scopus12 WoS13
2019 Forstneric, F., & Larusson, F. (2019). The parametric h-principle for minimal surfaces in Rⁿ and null curves in Cⁿ. Communications in Analysis and Geometry, 27(1), 1-45.
DOI Scopus7 WoS6
2019 Arosio, L., & Larusson, F. (2019). Chaotic holomorphic automorphisms of Stein manifolds with the volume density property. Journal of Geometric Analysis, 29(2), 1744-1762.
DOI Scopus6 WoS5
2018 Forstnerič, F., & Lárusson, F. (2018). The Oka principle for holomorphic Legendrian curves in C²ⁿ⁺¹. Mathematische Zeitschrift, 288(1-2), 643-663.
DOI Scopus4 WoS4
2018 Kutzschebauch, F., Lárusson, F., & Schwarz, G. (2018). An equivariant parametric Oka principle for bundles of homogeneous spaces. Mathematische Annalen, 370(1-2), 819-839.
DOI Scopus5 WoS4
2017 Lárusson, F., & Truong, T. (2017). Algebraic subellipticity and dominability of blow-ups of affine spaces. Documenta Mathematica, 22(2017), 151-163.
Scopus11 WoS13
2017 Alarcón, A., & Lárusson, F. (2017). Representing de Rham cohomology classes on an open Riemann surface by holomorphic forms. International Journal of Mathematics, 28(9), 1740004-1-1740004-12.
DOI Scopus5 WoS4
2017 Kutzschebauch, F., Lárusson, F., & Schwarz, G. (2017). Homotopy principles for equivariant isomorphisms. Transactions of the American Mathematical Society, 369(10), 7251-7300.
DOI Scopus8 WoS8
2016 Kutzschebauch, F., Larusson, F., & Schwarz, G. (2016). Sufficient conditions for holomorphic linearisation. Transformation Groups, 22(2), 475-485.
DOI Scopus6 WoS6
2016 Lärkänd, R., & Lárusson, F. (2016). Extending holomorphic maps from stein manifolds into affine toric varieties. Proceedings of the American Mathematical Society, 144(11), 4613-4626.
DOI Scopus2 WoS3
2015 Larusson, F. (2015). Absolute neighbourhood retracts and spaces of holomorphic maps from Stein manifolds to Oka manifolds. Proceedings of the American Mathematical Society, 143(3), 1159-1167.
DOI Scopus7 WoS6
2015 Kutzschebauch, F., Larusson, F., & Schwarz, G. (2015). An Oka principle for equivariant isomorphisms. Journal für die Reine und Angewandte Mathematik, 2015(706), 193-214.
DOI Scopus10 WoS9
2014 Forstnerič, F., & Lárusson, F. (2014). Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space. Mathematical Research Letters, 21(5), 1047-1067.
DOI Scopus5 WoS6
2014 Forstnerič, F., & Lárusson, F. (2014). Holomorphic flexibility properties of compact complex surfaces. International Mathematics Research Notices, 2014(13), 3714-3734.
DOI Scopus12 WoS12
2014 Lárusson, F., & Ritter, T. (2014). Proper holomorphic immersions in homotopy classes of maps from finitely connected planar domains into ℂ × ℂ*. Indiana University Mathematics Journal, 63(2), 367-383.
DOI Scopus5 WoS5
2014 Larusson, F. (2014). Eight lectures on Oka manifolds.
2013 Larusson, F., & Poletsky, E. (2013). Plurisubharmonic subextensions as envelopes of disc functionals. Michigan Mathematical Journal, 62(3), 551-565.
DOI Scopus5 WoS4
2012 Larusson, F. (2012). Deformations of Oka manifolds. Mathematische Zeitschrift, 272(3-4), 1051-1058.
DOI Scopus3 WoS4
2011 Forstneric, F., & Larusson, F. (2011). Survey of Oka theory. The New York Journal of Mathematics, 17a, 11-38.
Scopus48 WoS45
2011 Larusson, F. (2011). Oka theory of blow-ups.
2011 Larusson, F. (2011). Smooth toric varieties are Oka.
2010 Larusson, F. (2010). What is... an Oka Manifold?. American Mathematical Society. Notices, 57(1), 50-52.
2009 Larusson, F. (2009). Affine simplices in Oka manifolds. Documenta Mathematica, 14(1), 691-697.
DOI Scopus2 WoS2
2009 Larusson, F., & Sigurdsson, R. (2009). Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls. Mathematische Annalen, 345(1), 159-174.
DOI Scopus5 WoS4
2009 Larusson, F., & Shafikov, R. (2009). Schlicht Envelopes of Holomorphy and Foliations by Lines. Journal of Geometric Analysis, 19(2), 373-389.
DOI
2008 Larusson, F., & Sadykov, T. (2008). Dessins d'enfants and differential equations. St Petersburg Mathematical Journal, 19(6), 1003-1014.
DOI Scopus1 WoS1
2008 Larusson, F., & Sadykov, T. (2008). A discrete version of the Riemann-Hilbert problem. Russian Mathematical Surveys, 63(5), 973-975.
DOI
2007 Larusson, F., & Sigurdsson, R. (2007). Siciak-zahariuta extremal functions and polynomial hulls. Annales Polonici Mathematici, 91(2-3), 235-239.
DOI WoS5
2006 Larusson, F. (2006). The homotopy theory of equivalence relations.
2005 Larusson, F., & Sigurdsson, R. (2005). The Siciak-Zahariuta extremal function as the envelope of disc functionals. Annales Polonici Mathematici, 86(2), 177-192.
DOI
2005 Larusson, F. (2005). Mapping Cylinders and the Oka Principle. Indiana University Mathematics Journal, 54(4), 1145-1159.
DOI Scopus16
2004 Larusson, F. (2004). Model structures and the Oka Principle. Journal of Pure and Applied Algebra, 192(1-3), 203-223.
DOI Scopus31
2003 Joita, C., & Larusson, F. (2003). The third Cauchy-Fantappiè formula of Leray. Michigan Mathematical Journal, 51(2), 339-350.
DOI
2003 Larusson, F., & Sigurdsson, R. (2003). Plurisubharmonicity of envelopes of disc functionals on manifolds. Journal fur die Reine und Angewandte Mathematik, 555(555), 27-38.
DOI
2003 Larusson, F. (2003). Excision for Simplicial Sheaves on the Stein Site and Gromov's Oka Principle. International Journal of Mathematics, 14(2), 191-209.
DOI Scopus9
2003 Lárusson, F., & Sigurdsson, R. (2003). Plurisubharmonicity of envelopes of disc functional on manifolds. Journal Fur Die Reine Und Angewandte Mathematik, (555), 27-38.
Scopus14
2000 Lárusson, F. (2000). Holomorphic functions of slow growth on nested covering spaces of compact manifolds. Canadian Journal of Mathematics, 52(5), 982-998.
DOI Scopus9
1999 Larusson, F., & Sigurdsson, R. (1999). The Jensen envelope is plurisubharmonic on all manifolds.
1999 Lárusson, F., & Sigurdsson, R. (1999). Plurisubharmonic extremal functions, Lelong numbers and coherent ideal sheaves. Indiana University Mathematics Journal, 48(4), 1513-1534.
DOI Scopus15
1998 Lárusson, F., & Sigurdsson, R. (1998). Plurisubharmonic functions and analytic discs on manifolds. Journal Fur Die Reine Und Angewandte Mathematik, 501, 1-39.
Scopus50
1998 Lárusson, F. (1998). Compact quotients of large domains in complex projective space. Annales De L Institut Fourier, 48(1), 223-246.
DOI Scopus8
1997 Lárusson, F. (1997). Holomorphic neighbourhood retractions of ample hypersurfaces. Mathematische Annalen, 307(4), 695-703.
DOI Scopus1
1996 Lárusson, F. (1996). A Wolpf-Denjoy theorem for infinitely connected Riemann surfaces. Proceedings of the American Mathematical Society, 124(9), 2745-2750.
DOI Scopus3
1995 Lárusson, F. (1995). An extension theorem for holomorphic functions of slow growth on covering spaces of projective manifolds. Journal of Geometric Analysis, 5(2), 281-291.
DOI Scopus4
1994 Lárusson, F. (1994). Parabolic exhaustions and analytic coverings. Mathematische Zeitschrift, 215(1), 415-435.
DOI

Year Citation
2025 Forstneric, F., & Larusson, F. (2025). Every projective Oka manifold is elliptic.
2024 Forstneric, F., & Larusson, F. (2024). Oka-1 manifolds: New examples and properties.
2024 Alarcon, A., Forstneric, F., & Larusson, F. (2024). Isotopies of complete minimal surfaces of finite total curvature.
2023 Alarcon, A., & Larusson, F. (2023). Regular immersions directed by algebraically elliptic cones.

I was the sole chief investigator of a Discovery Grant entitled "Flexibility and symmetry in complex geometry" from the Australian Research Council in 2012-2014, and of a Discovery Grant entitled "Homotopical structures in algebraic, analytic, and equivariant geometry" in 2015-2017.

I teach courses at all levels, from large first-year courses to courses at the honours and master level.  I take an interest in pedagogy and teaching innovations.  I was heavily involved in the development of the new curriculum for Adelaide University from October 2023 through to 2026.

I was the founder and convenor in 2014-2017 of the Learning and Teaching Working Group in the School of Mathematical Sciences.  I was the Director of Teaching of the School in 2013-2016, the Director of Teaching Development in 2017-2019, and the Director (Learning and Teaching) through 2020 until I took on the role of Head of School.  From mid-2018 to mid-2019, I was the Director (Learning Quality) in the Faculty of Engineering, Computer and Mathematical Sciences.  I take a hands-on interest in school education.  I was an active member of Mathematicians in Schools from 2010 to 2017, and participated in the ChooseMaths national mentoring program for high-school girls in 2017-2018.

Date Role Research Topic Program Degree Type Student Load Student Name
2025 Principal Supervisor Kupka-Smale theorem in elliptic complex geometry Master of Philosophy Master Part Time Miss Lee Ward
2025 Principal Supervisor Holomorphic flexibility properties of character varieties and related moduli spaces Doctor of Philosophy Doctorate Full Time Mr Stefano Giannini
2025 Principal Supervisor Approximation and interpolation for holomorphic immersions of open Riemann surfaces in the affine plane Master of Philosophy Master Full Time Mr Chun Hei Lee
2025 Principal Supervisor Holomorphic flexibility properties of character varieties and related moduli spaces Doctor of Philosophy Doctorate Full Time Mr Stefano Giannini
2025 Principal Supervisor Approximation and interpolation for holomorphic immersions of open Riemann surfaces in the affine plane Master of Philosophy Master Full Time Mr Chun Hei Lee
2025 Principal Supervisor Kupka-Smale theorem in elliptic complex geometry Master of Philosophy Master Full Time Miss Lee Ward

Date Role Research Topic Program Degree Type Student Load Student Name
2022 - 2025 Principal Supervisor Geometric Blow-up Techniques for the Study of Switching in Multi-Scale Systems Doctor of Philosophy Master Full Time Mr Tyson Jack Rowe
2021 - 2023 Principal Supervisor The Closing Lemma for Riemann Surfaces Master of Philosophy Master Full Time Mr Wills Ton Minh Nguyen
2020 - 2025 Principal Supervisor The Oka Principle in Higher Twisted K-Theory Doctor of Philosophy under a Jointly-awarded Degree Agreement with Doctorate Full Time Miss Haripriya Sridharan
2019 - 2022 Principal Supervisor Equivariant Oka theory for Riemann surfaces Master of Philosophy Master Full Time Mr Alexander Joseph Fausto Lai De Oliveira
2019 - 2021 Principal Supervisor Highly symmetric homogeneous Kobayashi-hyperbolic manifolds Doctor of Philosophy Doctorate Full Time Mr Elliot Herrington
2019 - 2022 Principal Supervisor Algebraic Oka Theory for Curves Master of Philosophy Master Full Time Mr Ryan James Dye
2017 - 2020 Principal Supervisor Spaces of Holomorphic Immersions of Open Riemann Surfaces into the Complex Plane Master of Philosophy Master Part Time Miss Haripriya Sridharan
2017 - 2019 Principal Supervisor The Parametric Oka Principle for Riemann Surfaces Master of Philosophy Master Full Time Mr Matthew James Ryan
2017 - 2019 Principal Supervisor Holomorphic Immersions of Restricted Growth from Smooth Affine Algebraic Curves into the Complex Plane Master of Philosophy Master Full Time Mr Daniel Cody John
2014 - 2016 Principal Supervisor Deformation Retractions from Spaces of Continuous Maps onto Spaces of Holomorphic Maps Master of Philosophy Master Full Time Mr Brett Simon Chenoweth
2013 - 2016 Principal Supervisor Holomorphic Flexibility Properties of Spaces of Elliptic Functions Doctor of Philosophy Doctorate Full Time Mr David James Bowman
2012 - 2014 Principal Supervisor Oka Theory of Riemann Surfaces Master of Philosophy Master Full Time William Crawford
2010 - 2013 Principal Supervisor Holomorphic Flexibility Properties of Complements and Mapping Spaces Doctor of Philosophy Doctorate Full Time Mr Alexander Hanysz
2008 - 2011 Principal Supervisor Acyclic Embeddings of Open Riemann Surfaces into Elliptic Manifolds Doctor of Philosophy Doctorate Full Time Mr Tyson Ritter

Date Role Board name Institution name Country
2010 - 2013 Member Council of the Australian Mathematical Society Australian Mathematical Society Australia

Date Role Editorial Board Name Institution Country
2024 - ongoing Associate Editor Mathematica Scandinavica: ediderunt societates mathematicae Daniae Fenniae Islandiae Norvegiae Sveci Scandinavian mathematical societies Denmark
2014 - ongoing Associate Editor Journal of the Australian Mathematical Society Australian Mathematical Society Australia

Date Office Name Institution Country
2023 - 2025 Vice-President Australian Mathematical Society Australia
2022 - 2024 Chair Australian Council of Heads of Mathematical Sciences Australia

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