Forskerprofil
Hjemmeside: http://folk.uib.no/ava004/
Stilling: professor
Telefon: 55 58 48 55
E-post: Alexander.Vasiliev@math.uib.no
Besøksadresse: Johs. Brunsgt. 12
Mathematical Analysis
Complex Analysis, Conformal and Quasiconformal Maps, Mathematical Physics, Free Boundary Problems, Differential Geometry
Monographs:
- A.Vasil'ev: Moduli of families of curves for conformal and quasiconformal mappings. - ISBN 3-540-43846-7, Lecture Notes in Mathematics, vol. 1788, Springer-Verlag, Berlin- New York, 2002, 212 pp.
- B.Gustafsson, A.Vasil'ev: Conformal and potential analysis in Hele-Shaw cells. - ISBN 3-7643-7703-8, Birkhäuser Verlag, 2006, 231 pp.
Book Editor:
- B.Gustafsson, A.Vasil'ev: Analysis and Mathematical Physics.- Trends in Mathematics. Basel, Birkhäuser, 2009, 514 pp.
Some representative recent papers:
- A. Vasil'ev: From the Hele-Shaw experiment to integrable systems: a historical overview.- Compl. Anal. Oper. Theory 3 (2009), no. 2, 551-585.
- D.-Ch. Chang, I. Markina, A.Vasil'ev: Sub-Lorentzian geometry on anti-de Sitter space.- J. Math. Pures Appl. 90 (2008), no.1, 82-110.
- J.M.Anderson, A.Vasil'ev: Lower Schwarz-Pick estimates and angular derivatives.-
Ann. Acad. Sci. Fenn. 33 (2008), 101-110. - I.Markina, D.Prokhorov, A.Vasil'ev: Sub-Riemannian geometry of the coefficients of univalent functions.- J. Funct. Analysis 245 (2007), no. 2, 475-492.
- R.A.Hidalgo, A.Vasil'ev: Noded Techmueller spaces.- J. Anal. Math. 99 (2006), 89-107.
- D.Prokhorov, A.Vasil'ev: Univalent functions and integrable systems.- Comm. Math. Phys. 262 (2006), no. 2, 393-410.
Fall 2009: MAT 311 General Functional Analysis
- European Network "Harmonic and Complex Analysis and its Applications" (European Science Foundation) 2007-2011. (Chairman of the Steering Committee)
- Norwegian Research Council FRINAT Grant for the Project "Harmonic and Complex Analysis in the Problems of Mathematical Physics" #177355/V30 (2007-2010) (Coordinator of the Porject)
- Scandinavian Network "Analysis and Applications" (NordForsk) 2009-2011, grant #080151. (Coordinator- Irina Markina)