I am currently teaching Complex Analysis

Academic article

• Langøen, René; Markina, Irina; Solynin, Alexander (2024). Stokes Graphs of the Rabi Problem with Real Parameters. (external link)
• Jurdjevic, V.; Markina, Irina; Silva Leite, Leite (2023). Symmetric Spaces Rolling on Flat Spaces. (external link)
• Schlarb, Markus; Hüper, Knut; Markina, Irina et al. (2023). Rolling Stiefel Manifolds Equipped with α-Metrics. (external link)
• Franchi, Bruno; Markina, Irina (2023). Exceptional families of measures on Carnot groups. (external link)
• Grong, Erlend; Markina, Irina (2023). Harmonic maps into sub-Riemannian Lie groups. (external link)
• Furutani, Kenro; Markina, Irina (2021). Automorphism groups of pseudo H-type algebras. (external link)
• Hüper, Knut; Markina, Irina; Leite, Fátima Silva (2021). A lagrangian approach to extremal curves on stiefel manifolds. (external link)
• Hüper, Knut; Markina, Irina; Silva Leite, Fátima (2021). An extrinsic approach to sub-riemannian geodesics on the orthogonal group. (external link)
• Godoy Molina, Mauricio; Markina, Irina (2021). Sub-riemannian geodesics on nested principal bundles. (external link)
• Bauer, Wolfram; Froehly, André; Markina, Irina (2020). Fundamental solutions of a class of ultra-hyperbolic operators on pseudo H-type groups. (external link)
• Jurdjevic, Velimir; Markina, Irina; Silva Leite, F (2019). Extremal Curves on Stiefel and Grassmann Manifolds. (external link)
• Markina, Irina; Raffaelli, Matteo (2019). Flat approximations of hypersurfaces along curves. (external link)
• Furutani, Kenro; Markina, Irina (2019). Complete classification of pseudo H-type algebras: II. (external link)
• Godoy Molina, Mauricio; Grong, Erlend; Markina, Irina (2019). Submersions and curves of constant geodesic curvature. (external link)
• Chang, Der-Chen; Markina, Irina; Wang, Wei (2019). The Laguerre calculus on the nilpotent Lie groups of step two. (external link)
• Markina, Irina; Godoy Molina, Mauricio; Furutani, Kenro et al. (2018). Lie algebras attached to Clifford modules and simple graded Lie algebras. (external link)
• Autenried, Christian; Furutani, Kenro; Markina, Irina et al. (2018). Pseudo-metric 2-step nilpotent Lie algebras. (external link)
• Markina, Irina (2017). Sub-riemannian geometry and hypoelliptic operators. (external link)
• Furutani, Kenro; Markina, Irina (2017). Complete classification of pseudo H-type Lie algebras: I. (external link)
• Godoy Molina, Mauricio; Kruglikov, Boris; Markina, Irina et al. (2017). Rigidity of 2-step carnot groups. (external link)
• Brakalova, Melkana A.; Markina, Irina; Vasil'ev, Alexander (2017). Extremal functions for modules of systems of measures. (external link)
• Chang, Der-Chen; Markina, Irina; Wang, Wei (2016). On the Hodge-type decomposition and cohomology groups of k-Cauchy-Fueter complexes over domains in the quaternionic space. (external link)
• Brakalova, Melkana A.; Markina, Irina; Vasiliev, Alexander (2016). Modules of systems of measures on polarizable Carnot groups. (external link)
• Markina, Irina; Vasiliev, Alexander (2016). Evolution of smooth shapes and integrable systems. (external link)
• Markina, Irina; Leite, Fátima Silva (2016). Introduction to the intrinsic rolling with indefinite metric. (external link)
• Grong, Erlend; Markina, Irina; Vasiliev, Alexander (2015). Sub-Riemannian Geometry on Infinite-Dimensional Manifolds. (external link)
• Chitour, Yacine; Godoy Molina, Mauricio; Kokkonen, Petri et al. (2015). Rolling against a sphere: the non-transitive case. (external link)
• Furutani, Kenro; Markina, Irina; Vasiliev, Alexander (2015). Free nilpotent and H-type Lie algebras. Combinatorial and orthogonal designs. (external link)
• Khajeh Salehani, Mahdi; Markina, Irina (2014). Controllability on Infinite-Dimensional Manifolds: A Chow-Rashevsky Theorem. (external link)
• Autenried, Christian; Markina, Irina (2014). Sub-Riemannian geometry of Stiefel manifolds. (external link)
• Furutani, Kenro; Markina, Irina (2014). Existence of lattices on general H-type groups. (external link)
• Chang, Der-Chen; Markina, Irina; Wang, Wei (2013). On the Cauchy-Szegö kernel for quaternion siegel upper half-space. (external link)
• Godoy Molina, Mauricio; Korolko, Anna; Markina, Irina (2013). Sub-semi-Riemannian geometry of general H-type groups. (external link)
• Godoy Molina, Mauricio; Grong, Erlend; Markina, Irina et al. (2012). An intrinsic formulation of the problem on rolling manifolds. (external link)
• Markina, Irina; Godoy Molina, Mauricio (2012). Sub-Riemannian geodesics and heat operator on odd dimensional spheres. (external link)
• Chang, Der-chen; Markina, Irina; Vasiliev, Alexander (2011). Hopf fibration: Geodesics and distances. (external link)
• Markina, Irina; Godoy Molina, Mauricio (2011). Sub-Riemannian geometry of parallelizable spheres. (external link)
• Korolko, Anna; Markina, Irina (2011). SEMI-RIEMANNIAN GEOMETRY WITH NONHOLONOMIC CONSTRAINTS. (external link)
• Chang, Der-chen; Markina, Irina; Vasiliev, Alexander (2010). Modified action and differential operators on the 3-D sub-Riemannian sphere. (external link)
• Markina, Irina; Vasiliev, Alexander (2010). Virasoro algebra and dynamics in the space of univalent functions. (external link)
• Korolko, Anna; Markina, Irina (2010). Geodesics on H-type Quaternion Groups with Sub-Lorentzian Metric and Their Physical Interpretation. (external link)
• Chang, Der-Chen; Markina, Irina; Vasiliev, Alexander (2009). Sub-Riemannian geodesics on the 3-D sphere. (external link)
• Calin, Ovidiu; Chang, Der-chen; Markina, Irina (2009). SubRiemannian Geometry on the Sphere S-3. (external link)
• Calin, Ovidiu; Chang, Der-chen; Markina, Irina (2009). Geometric analysis on H-type groups related to division algebras. (external link)
• Korolko, Anna; Markina, Irina (2009). Nonholonomic lorentzian geometry on some H-type groups. (external link)
• Chang, Der-chen; Markina, Irina; Vasiliev, Alexander (2008). Sub-Lorentzian geometry on anti-de Sitter space. (external link)
• Chang, Der-chen; Markina, Irina (2008). Quaternion H-type group and differential operator Delta(lambda). (external link)
• Chang, Der-Chen; Markina, Irina (2008). Geometric analysis on quaternion anisotropic Carnot groups. (external link)
• Markina, Irina; Prokhorov, Dmitri; Vasiliev, Alexander (2007). Sub-Riemannian geometry of the coefficients of univalent functions. (external link)
• Hidalgo, Ruben; Markina, Irina; Vasiliev, Alexander (2007). Finite dimensional grading of the Virasoro algebra. (external link)
• Chang, Der-chen; Markina, Irina (2007). Anisotropic quaternion carnot groups: Geometric analysis and green function. (external link)
• Markina, Irina; Meneses, Rodrigo; Vasiliev, Alexander (2007). On a Saffman-Taylor problem in an infinite wedge. (external link)
• Chang, Der-Chen; Markina, Irina (2006). Geometric analysis on quaternion H-type groups. (external link)
• Markina, Irina; Vodopyanov, Sergey (2006). On value distribution for quasimeromorphic mappings on H-type Carnot groups. (external link)

Academic lecture

• Langøen, René; Markina, Irina; Solynin, Alexander (2023). Stokes graphs of the Rabi problem with real parameters. (external link)

Academic anthology/Conference proceedings

• Hervik, Sigbjørn; Kruglikov, Boris; Markina, Irina et al. (2022). Geometry, Lie Theory and Applications: The Abel Symposium 2019. (external link)

Foreword

• Hervik, Sigbjørn; Kruglikov, Boris; Markina, Irina et al. (2022). Geometry, Lie Theory and Applications: The Abel Symposium 2019. (external link)

Doctoral dissertation

• Frolova, Anastasia; Markina, Irina (2017). Analytical, combinatorial and topological properties of quadratic differentials and their applications. (external link)
• Molina, Mauricio Godoy; Markina, Irina (2011). Sub-Riemannian geometry of spheres and rolling of manifolds. (external link)

Academic chapter/article/Conference paper

• Markina, Irina (2016). Geodesics in Geometry With Constraints and Applications. (external link)
• Markina, Irina; Vasiliev, Alexander (2013). Löwner-Kufarev Evolution in the Segal-Wilson Grassmannian. (external link)
• Grong, Erlend; Markina, Irina; Vasiliev, Alexander (2012). Sub-Riermannian structures corresponding to Kählerian metrics on the universal Teichmüller space and curve. (external link)
• Molina, Mauricio Godoy; Grong, Erlend; Leite, Fátima Silva et al. (2011). Rolling manifolds : an intrinsic perspective. (external link)
• Korolko, Anna; Markina, Irina (2011). Nonholonomic semi-Riemannian geometry with examples on H-type groups. (external link)
• Calin, Ovidiu; Chang, Der-chen; Markina, Irina (2009). Generalized Hamilton-jacobi Equation and Heat kernel. (external link)

See a complete overview of publications in Cristin.

Education:

Graduated from Novosibirsk State University in 1986

Degrees:

• M.Sci., June 3, 1986, in the Novosibirsk State University, Special studies in Advanced Mathematics. Thesis title: "Change-variable formula for functional spaces with fractional derivatives", 45 pp., supervisor Prof. S.K. Vodopyanov.
• Ph.D., November 15, 1995, in the Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk State University (Candidate in Physics and Mathematics) Thesis title: "Nonlinear potential theory of subelliptic equations", 180 pp. supervisor Prof. S.K. Vodopyanov

 

Employment:

• 2008-present: Professor, University of Bergen, Norway.
• 2008: Associate Professor, University of Bergen, Norway.
• 2007-2008: Researcher, UNIFOB AS v/ Unifob petroleum (temporary position), University of Bergen, Bergen, Norway.
• 2006: Associate Professor (temporary position), University of Bergen, Bergen, Norway.
• 2005: Full Professor, University of Valparaiso, Valparaiso, Chile.
• 2001-2005: Visiting Professor, Department of Mathematics of Technical University Federico Santa Maria, Valparaiso, Chile.
• 2000: Research Fellow, The Mittag-Leffler Institute, Stockholm, Sweden.
• 1999-2000: Associate Professor, Department of Mathematics, Siberian State University of Telecommunication and Information, Novosibirsk, Russia.
• 1996-1999: Assistant Professor, Department of Mathematics, Novosibirsk State University, Russia.
• 1991-1996: Assistant Professor, College of Informatics, Novosibirsk State University, Russia.
• 1986-1991: Post-graduate course, Sobolev Institute of Mathematics, of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia.

 

Languages:

Russian, English, Spanish, Norwegian

 

Professional Membership:

• American Mathematical Society, since 2001
• Mathematical Society of Chile, 2001-2006

 

Other Professional Activities:

• 2009: Main organizer of the "Norwegian Fall School in Analysis for PhD Students and Young Researchers" Trondheim, September 10-13.
• 2008-2011: Principal coordinator of the NordForsk Research Network “Analysis and Application”
• 2003-2005: Responsible for the Department’s Mathematical Colloquium, Technical University Federico Santa Maria, Valparaiso, Chile.
• 1996-2000: Administrative assistant, Division of Mathematical Analysis, Department of Mathematics, Novosibirsk State University, Russia.
• 1992-1995: Administrative assistant at the College of Informatics, Novosibirsk State University, Russia.