MY COURSES

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Teaching experience can be found HERE

Supervision over Bachelor theses:

2012-2013: “Hausdorf Measure”, Joakim Alme Nordstrand, University of Bergen, Bergen, Norway.
2012-2013: “The development of numbers and tests for convergence of positive and alternating series”, David T. Lewis, University of Bergen, Bergen, Norway.
2011-2012: “The Geometry behind the Special Relativity Theory”, Paul Antony Frontéry, University of Bergen, Bergen, Norway.    Pdf file
2010-2011: “Exploration of real numbers”, Solveig G Lunde, University of Bergen, Bergen, Norway.

Supervision over Master Science theses:

2011-2012: “The Alexandrov Topology in Sub-Lorentzian Geometry”, Stephan Wojtowytsch (join master thesis with Heidelberg University, Germany).     Pdf file
2010-2011: “Structure of infinite dimensional Grasssmannian” Christian Autenried (join master thesis with Ludwig-Maximilians Universitat Munchen, Germany)     Pdf file
2009-2011: “Quasiconformal maps of 3 dimensional sphere”, Ksenia Lavrichenko, University of Bergen, Norway.     Pdf file
2009-2011: “Some Regularity Results for Quasiregular Mappings on Heisenberg group and Sub-elliptic Equations”, Quifan Li, University of Bergen, Norway.     Pdf file
2004-2005: "Saffman-Taylor instabilities in channel and wedge flows", Rodrigo Meneses, (Join supervision with Alexander Vasiliev, Technical University Federico Santa Maria, Valparaiso, Chile.)

Supervision over Ph.D theses:

2011-2014 “Sub-Riemannian and sub-semi Riemannian structures on Stieffel manifolds”, Christian Autenried, University of Bergen, Norway.
2009-2011 “Sub-Riemannian structure on spheres S^3 and S^7”, Mauricio Antonio Godoy Molina, University of Bergen, Norway. Defended 29.04.2012.     Pdf file
2008-2010 “Sub-semi-Riemannian geometry on Heisenberg-type groups”, Anna Korolko, University of Bergen, Norway. Defended 04.02.2011.     Pdf file


I. Stability and Perturbation Theory (presentation of lectures)

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Lectures 1-2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14


II. Servey on the Potential Theory

III. General Functional Analysis

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Problems for home work
Problems 1
Problems 2
Problems 3
Problems 4
Problems 5
Problems 6
Problems 7
Problems 8
Some solved problems

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