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Vladimir Tkatjev

Biträdande professor

Research interests

  • Minimal submanifolds, surfaces of prescribed mean curvature
  • Nonassociative algebras, PDE's and cubic minimal cones
  • Entire solutions of quasilinear elliptic type PDE's
  • Quadrature domains, harmonic moments, lemniscates

CV

Academic degrees

  • 1998: Habiltation (Doktor fiz.-mat. nauk) 
    Thesis: Functional theoretic approach to minimal submanifolds 
    Institution:  
    Opponents: . (Steklov Institute of Mathematics), . (Sobolev Institute of Math.),  (Moscow State University)
  • 1990: PhD (Kandidat fiz.-mat. nauk) 
    Thesis: Exterior structure of minimal surfaces of parabolic conformal type 
    Advisor: 
    Institution:  
    Opponents:  (Novosibirsk University),  (Sobolev Institute of Math.)

Education

  • 2008-2010: Master of Education (Lärarexamen, 180hp), Stockholm University
  • 1987-1990: PhD studies, Sobolev Institution of Mathematics (Novosibirsk) and Volgograd State University, advisor: Vladimir M. Miklyukov
  • 1980-1985: Specialist degree in Mathematics s (M.Sc. equivalent), Diploma cum laude, Volgograd State University 
    Advisor: 

Editorial boards

  • . See also  on  and the archive of published papers on the online content.

Awards

  • 2000, Award of the President of the Russian Federation (President Grant for young Doctors of Sciences)
  • 1997, Honor Soros Docent, “In recognition and appreciation of outstanding contributions to world science and science education”
  • 1995, Grand-Prix of Municipal Educational Program, Volgograd
  • 1995, Award of winner of competition of the International Soros Science Education Program (ISSEP) in specialty Mathematics
  • 1985, Gold medal from Volgograd State University, a distinction given to students with only maximal grades
  • 1984, A winner of All-Russian Mathematical Olympiad for students, Sverdlovsk

Grants

Supervisor:

  • 2002-2004, Geometry of quasilinear partial differential equations, Grant of the Russian Foundation for Basic Research #03-01-00304
  • 2000-2002, Surfaces of zero mean curvature, Grant of the President of Russian Federation #00-15-99274
  • 1997-1998, Global geometry of minimal tubes and conformal invariants, Grant of the Ministry of Higher Education #97-0-1.3-114
  • 1995-1996, Starlike minimal surfaces, Grant of the Ministry of Higher Education, #95-0-1.9-34
  • 1994 , travel grant of Swiss National Science Foundation
  • 1994-1995, Minimal surfaces of parabolic conformal type, Grant of the Soros Initiative in Fundamental Sciences

Participant:

  • 2007-2010, Harmonic and complex analysis and their applications, ESF network HCAA
  • 2008-2009, Potential theory and mathematical physics, Vetenskapsrådet #2007-6224, Sweden
  • 2005-2007, The exponential transform and other topics in potential theory, Swedish Royal Academy of Sciences (KVA)
  • 1995-1997, Quasilinear PDEs of elliptic type, Grant INTAS#10170
  • 1993-1994, Geometry in large of zero-mean surfaces in Minkowski space, Grant of the Russian Foundation for Basic Research #93-011-176

Forskning

Publikationer

Preprints

  • On a classification of minimal cubic cones in R^n,
  • Non-isoparametric solutions of the eikonal equation,
  • Positive trigonometric polynomials,
  • (with Kuznetsova O.S.), Preprint, TRITA-MAT-03-MA-04, 2003

2024

Vladimir Tkachev (2024) Communications in Mathematics, Vol. 32, s. 153-184 (Artikel i tidskrift)

2021

Vladimir Kozlov, Sonja Radosavljevic, Vladimir Tkachev, Uno Wennergren (2021) Journal of Mathematical Biology, Vol. 83, Artikel 68 (Artikel i tidskrift)
Jonathan Andersson, Samia Ghersheen, Vladimir Kozlov, Vladimir Tkachev, Uno Wennergren (2021) Analysis and Mathematical Physics, Vol. 11, Artikel 169 (Artikel i tidskrift)
Jonathan Andersson, Samia Ghersheen, Vladimir Kozlov, Vladimir Tkachev, Uno Wennergren (2021) Analysis and Mathematical Physics, Vol. 11, Artikel 166 (Artikel i tidskrift)
Vladimir Tkachev (2021) Journal of Algebra, Vol. 569, s. 466-510 (Artikel i tidskrift)

Organisation