Gilgamesh Tablet
Gilgamesh Tablet, 2000 BC.



Jump to:


Papers

horizontal rule


Ph.D. and D.Sci. Thesis
 
  • Exterior structure of minimal surfaces of parabolic conformal type, PhD Thesis, Institute of Math., Siberian Branch of Russian Academy of Sciences, Novosibirsk, 1990, 121 p.
     
  • Functional theoretic approach to minimal submanifolds, D.Sci. Thesis, Institute of Math., Siberian Branch of Russian Academy of Sciences, Novosibirsk, 1998, 220 p.

horizontal rule


Papers in peer reviewed journals

  1. Andersson, J., Ghersheen, S., Kozlov, V. et al. Effect of density dependence on coinfection dynamics. Anal.Math.Phys. 11, 166 (2021).

  2. A Jordan algebra approach to the eiconal equation, Journal of Algebra, 2014, 419:34/51 [arXiv:1211.7223]

  3. A note on isoparametric polynomials, Analysis and Mathematical Physics, 2014, 4(3):237-245 [arXiv:1209.0155]

  4. Non-classical solution to Hessian equation from Cartan isoparametric cubic (with N. Nadirashvili and S. Vladuts), Advances in Mathematics, 2012, 231(3/4):1589-1597

  5. On the exponential transform of multi-sheeted algebraic domains (with B. Gustafsson), Computational Methods and Function Theory, 2011, 11(2):91-615 , PDF

  6. On the exponential transform of lemniscates (with B. Gustafsson), in Trends in Mathematics, Notions of Positivity and the Geometry of Polynomials (eds. P. Branden, M. Passare and M. Putinar), 2011, 239-257 PDF

  7. On a classification of minimal cubic cones in R^n, 2010, arXiv:1009.5409 PDF

  8. Non-isoparametric solutions of the eikonal equation, 2010, arXiv:1009.1842 PDF

  9. Minimal cubic cones via Clifford algebras, Complex Anal. and Operator Theory , 2010, 4(3): 685-700 PDF

  10. A generalization of Cartan's theorem on isoparametric cubics, Proc. Amer. Math. Soc., 138(2010), no. 8, 2889-2895 PDF

  11. On the Jacobian of the harmonic moment map (with B. Gustafsson), Complex Anal. and Operator Theory , 3 (2009), no 2, 399-417 PDF

  12. Disjoint minimal graphs, Anal. Global Analysis and Geom., 35(2009), no 2, 139-155. PDF

  13. The resultant on compact Riemann surfaces (with B. Gustafsson), Comm. Math. Physics , 286(2009), 313-358, PDF

  14. Entire solutions of some quasilinear equations with quadratic principal symbol (with Zorina I.G.), Vestnik SamGU, Matematika, 62(2008), No. 3, 108-123. PDF

  15. Positive definite collections of disks, Indiana Univ. Math. J., V. 55(2006), No 6, 380-388, PDF

  16. Algebraic structure of quasiradial solutions to the \(\gamma\)-harmonic equation. Pacific J. Math., 226(2006), no 1, 179-200, PDF

  17. Entire solutions of the Simon equation (with Zorina I.G.), Geometric Analysis and applications, Proceedings, Volgograd, 2005, p. 55-74 PDF

  18. Subharmonicity of higher dimensional exponential transforms, Operator Theory: Advances and Appl., Birkhauser, Vol. 156(2005), 257-277, PDF

  19. Ullemar formula for the moment map, II, Linear Algebra and Appl., V. 404(2005), 380-388, PDF

  20. Ullemar's formula for the Jacobian of the complex moment mapping (with Kuznetsova O.S.), Complex Variables and Appl., 49(2004), 55-72, PDF

  21. Length functions on lemniscates (with Kuznetsova O.S.), Manuscripta Math.,112(2003), No 4, 519-538, PDF

  22. Analysis on lemniscates and Hamburger's moments (with Kuznetsova O.S.), Preprint, TRITA-MAT-03-MA-04, 2003, PDF

  23. Doubly periodic maximal surfaces with singularities (with Sergienko V.V.), Siberian Adv. Math. 12 (2002), no. 1, 77-91, PDF
     
  24. On the Gauss map of embedded minimal tubes (with Reshetninkova I.M), Note di Matematica 19(1999/2000), no. 1, 7-17, PDF
     
  25. Entire one-periodic maximal surfaces (with Sergienko V.V.), The Mansfield-Volgograd Journal, Ed.: James York Glimm, Mansfield University of Pennsylvania, 2000. 148-156. PDF
     
  26. Asymptotic properties of solutions of the Hele-Shaw equation (with Kuznetsova O.S.), Dokl. Akad. Nauk, 367 (1999), no. 2, 164-165. PDF
     
  27. Minimal tubes of finite integral curvature, Siberian Math. J., 39(1998), no. 1, 159-167, PDF
     
  28. External geometry of p-minimal surfaces, Geometry from the Pacific Rim, Walter de Gruyter, Berlin, 1997, 363-375, PDF
     
  29. Denjoy-Ahlfors theorem for harmonic functions on Riemannian manifolds and external structure of minimal surfaces (with Miklyukov V.M.), Comm. Anal. Geom. 4(1996), no. 4, 547-587, PDF
     
  30. On the bore radius for minimal surfaces Math. Notes 59(1996), no. 5-6, 657-660, PDF
     
  31. Life-time of minimal tubes and coefficients of univalent functions in a circular ring, Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform. 20(1995), 19-26, PDF
     
  32. A remark on the Jorgens-Calabi-Pogorelov theorem, Dokl. Akad. Nauk 340(1995), no. 3, 317-318. PDF
     
  33. Finiteness of the number of ends of minimal submanifolds in Euclidean space, Manuscripta Math., 82(1994), no. 3-4, 313-330, PDF
     
  34. Some estimates for the mean curvature of nonparametric surfaces defined over domains in \(\mathbb{R}^n\), J. Math. Sci., 72(1994), no. 4, 3250-3260, PDF
     
  35. A sharp lower bound for the first eigenvalue on a minimal surface, Math. Notes 54(1993), no. 1-2, 835-840, PDF
     
  36. Some estimates for the mean curvature of graphs over domains in \(\mathbb{R}^n\), Soviet Math. Dokl., 42(1991), no. 2, 387-390, PDF
     
  37. Some properties of tube minimal surfaces of arbitrary codimension (with Miklyukov V.M.), Math. USSR-Sb. 68(1991), no. 1, 133-150, PDF
     
  38. The structure in the large of externally complete minimal surfaces in \(\mathbb{R}^3\) (with Miklyukov V.M.), Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 7, 30-36 PDF
     
  39. On one theorem of S.T.~Yau and S.Y.~Cheng, Proc. XXIIth Sci. Student Conference, Novosibirsk, 1984, 66-68.

horizontal rule


  Abstracts / preprints
 
  1. Positive trigonometric polynomials. Preprint, arxiv:CV 0301038, 2003.
  2. Positive trigonometric polynomials, Proc. of Mathematical Analysis Chair. Volgograd, Izd-vo VolSU, 2002, 161-173
  3. Complex moments and starlike polynomials , Problems of Function Theory, Saratov, Saratov State Univeristy, 2002, 110-111 (with Kuznetsova O.S.)
  4. Unsolved problems in analysis Vestnik VolSU. Ser. I: Math., 7 (2002), 20-33.
  5. Doubly periodic maximal surfaces with singularities, Proceedings on Analysis and Geometry, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000, 571-584 (with Sergienko V.V.)
  6. Minimal surfaces of finite projective volume , Geometric analysis and its applications, Scientific schools of Volgograd State University. Ed: Miklyukov V.M., Volgograd, 1999, 369-410.
  7. Structure of starlike minimal surfaces, Vestnik VolSU. Ser. I: Math., 3 (1998), 145-155.
  8. On gaussian image of minimal tubes with nontrivial angle of the flow-vector , Vestnik VolSU. Ser. I: Math., 1 (1996), 35-40. (with Reshetnikova I.M.)
  9. Minimal hypersurfaces of finite projective volume , Geometrical Analsis: Scientific Scools of VolSU, Volgograd, 1999, 369-410.
  10. Upper estimates of volume growth for minimal quasigraphs , ICM 1998, Abstracts of short communications. Berlin, Aug. 18-27, 1998, 82-83.
  11. Starlike minimal hypersurfaces and Simon's problem }, Trudy nauchn. konf., Volgograd, Iss. 4 , Volgograd, VolSU, 1996, 15-21.
  12. Starlike minimal hypersurfaces , Abstracts of Conference on Differential Geometry, Budapest, July 27-30, 1996. Budapest, 1996, p. 116.
  13. Minimal hypersurfaces which are graphs over spheres }, In Geometry in large, Cherkassk State University, 11-16 September, 1995. p.36.
  14. Minimal submanifolds of finite projective volume }, Trudy nauchn. konf., Volgograd, 5-9 December 1994, VolSU Ed., Volgograd, 1995, 23-29.
  15. The number of branches of the minimal submanifolds in Euclidean space , Proc. of ICM 94, Zurich, 1994, p.55.
  16. Estimates of exterior radius of elliptic hypersurfaces , Depon. VINITI, 1992, Manuscr. No 2031-B92, 17 p.
  17. Theorem of Fuglede in a finslerian space , In Potential Theory, Kiev, 1991, p. 15. (with Ushakov A.N.)
  18. Minimal hypersurfaces in \(\mathbb{R}^n\) with finite multiplicity of spherical projection , Abstracts of Conference on Complex Analysis, Tashkent, 1989, p. 118.
  19. Interior and exterior structure of minimal submanifolds of arbitrary co-dimension , In Geometry and Analysis, Novosibirsk, Institute of Math., 1989, p. 109.
  20. On a sufficient condition of parabolicity for minimal surfaces with degenerating mean curvature vector , In Geometric function theory", Novosibirsk, Institute of Math., 1988, p. 101.
  21. On a sufficient condition of parabolicity , Abstracts of IXth Geometric Conference, Kishinev, 1988, p. 213.
  22. On one property of minimal bands , Abstracts of IXth Geometric Conference, Kishinev, 1988, p. 214. (with Miklyukov V.M.)
  23. On a sufficient condition of parabolicity of two-dimensional minimal surfaces in \(\mathbb{R}^n\) , In Geometry in large, Novosibirsk, Institute of Math., 1987, p. 119.
  24. On structure of complete minimal surfaces in \(\mathbb{R}^n\) , Abs. of Conference "Complex methods in Mathematical Physics", Donezk, 1984, 156-157 (with Miklyukov V.M.)

horizontal rule


  Teaching Materials
 
  1. Elliptic Functions: Introductory Course. Lectures Notes, KTH, Stockholm. 2003, 67 p.
  2. Problems in functional analysis Teaching Materials. Volgograd, Izd-vo VolSU, 1994, 15 p.
  3. Analysis on manifolds, Lectures Course, Volgograd State University. Volgograd, 1992, 33 p.
  4. Kafedra MATF 1982-2002: Nonlinear and geometrical analysis, Proc. of Mathematical Analysis Chair. Volgograd, Izd-vo VolSU, 2002, 14-20.