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Vladimir Tkatjev

Senior Associate 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, VetenskapsrÃ¥det #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

Research

Publications

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, p. 153-184 (Article in journal)

2021

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

2020

Vladimir Tkatjev (2020) St. Petersburg Mathematical Journal, Vol. 31, p. 223-240 (Article in journal)
Vladimir Tkachev (2020) Differential geometry and its applications (Print), Vol. 70, Article 101629 (Article in journal)

2019

Yakov Krasnov, Vladimir Tkachev (2019) Topics in Clifford Analysis, p. 80-112 (Conference paper)
Samia Ghersheen, Vladimir Kozlov, Vladimir Tkachev, Uno Wennergren (2019) Computational and Mathematical Methods, Vol. 1 (Article in journal)
Samia Ghersheen, Vladimir Kozlov, Vladimir Tkachev, Uno Wennergren (2019) Mathematical methods in the applied sciences, Vol. 42, p. 5805-5826 (Article in journal)

Organisation