EDUCATION

  APPOINTMENTS

RESEARCH INTERESTS

Grassmann manifolds and Grassmann image
Global and local geometry of submanifolds
Integrable systems
Minimal submanifolds

GIVEN COURSES

Differential geometry of curves and surfaces
Riemannian Geometry

AWARDS, HONOURS and DISTINCTIIONS:

Fellowship of NAS of Ukraine for young scientists, 1999-2002
President award for young scientists, Kiev, 2004
M.Ostrogradsky fellowship for young scientists, offered by Kharkiv State Administration, 2005
 

  PUBLICATIONS

2. V.Gorkavyy, On reconstruction of a 3-dimensional submanifold of a 5-dimensional Euclidean space from a degenerate 2-dimensional Grassmannian image // Matematicheskaya Fizika, Analiz, Geometria, v.2 (1995), n.1, p.25-41, (in Russian). MR1484115 (98m:53009)

3. V.Gorkavyy, Reconstruction of a submanifold of Euclidean space from its Grassmannian image that degenerates into a line // Mathematical Notes, v.59 (1996), n.5, p. 490-497; translation from Matematicheskie Zametki, v.59 (1996), n.5, p.681-691. MR1445449 (98e:53006)

4. V.Gorkavyy, An analogue of the Grassmannian image for submanifolds of a sphere // Sbornik: Mathematics, v.187 (1996), n.9, p.1283-1300; translation from Matematicheskiy Sbornik, v.187 (1996), n.9, p.25-44. MR1422381 (97h:53058)

5. V.Gorkavyy, Volumes of Schubert cells of Grassmann manifolds // Matematicheskaya Fizika, Analiz, Geometria, v.3 (1996), n.1-2, p.34-45, (in Russian). MR1483809 (99c:53065)

6. V.Gorkavyy, Reconstruction of three-dimensional submanifolds of Euclidean space with large codimension from its Grassmannian image // Matematicheskie Zametki, v.62 (1997), n.5, p.694-699, (in Russian). MR1627927 (99f:53057)

7. V.Gorkavyy, Theorem of reduction in the problem of reconstruction of submanifolds in Euclidean space by a given Grassmannian image // Matematicheskaya Fizika, Analiz, Geometria, v.4 (1997), n.3, p.309-333, (in Russian). MR1615816 (99d:53008)

8. V.Gorkaviy, Reconstruction of particular submanifolds of Euclidean space from a given Grassmann image // Matematicheskaya Fizika, Analiz, Geometria, v.7 (2000), № 2, p.131-152 (in Russian). MR1788191 (2001g:53010)

9. V.Gorkaviy, Deformations of two-dimensional surfaces that preserve parabolic Grassmann image // Vestnik Kharkovskogo Universiteta (Notices of Kharkov University), v.475 (2000), p.313-322 (in Russian).

10. V.Gorkaviy, Deformations of two-dimensional surfaces that preserve the Gauss image // Proceedings of the Conference "Geometry and Applications" dedicated to the seventieth birthday of V.A. Toponogov (Novosibirsk, Russia, March 13-17, 2000), p.34-57 (in Russian). MR1858609 (2002g:53010)

1. V.Gorkavyy, Yu.A.Aminov, On the Gauss curvature of closed surfaces in E3 and E4 // Matematicheskaya Fizika, Analiz, Geometria, v.8 (2001), № 1, p.3-16, (in Russian). MR1846355 (2002i:53009)

12. V.Gorkaviy, Deformations of two-dimensional surfaces that preserve the Gauss image // Syberian advances in mathematics, v.13 (2003), № 4, p.7-29.

13. V.Gorkavyy, On pseudo-spherical congruencies in E4 // Matematicheskaya Fizika, Analiz, Geometria, v.10 (2003), № 4, p.498-504.

14. Yu.A.Aminov, V.Gorkaviy, A.V.Sviatovets, On the reconstruction of a two-dimensional closed surface in E4 from a given closed Grassmann image // Matematicheskaya Fizika, Analiz, Geometria, v.11 (2004), № 1, p.3-24.

15. D.Bolotov, V.Gorkaviy, V.Makarov, A.Yatsenko, New kind of topological electron transition in metals under changes of Fermi surface  // Fizika nizkikh temperatur, v.31 (2005), № 3/4, p.422-428.

Abstracts of short communications

1. V.Gorkavyy, Volumes of Shubert blocs // Russian school  on the stochastic methods in geometry  and analysis. Abraou-Dursau (Russia), 1994. Abstracts, p.27.

2. V.Gorkavyy, On the reconstruction of submanifolds in Euclidean space with a given Gauss image // International conference ``Global differential geometry''. Cherkassy (Ukraine), September 12-15, 1995. Abstracts of communications, p.16-18.

3. V.Gorkavyy, On the reconstruction of submanifolds in Euclidean space with a given Gauss image // International conference ``Global differential geometry''. Cherkassy (Ukraine), September 8-13, 1997. Abstracts of communications, p.11-13.

4. V.Gorkavyy, Deformations of two-dimensional surfaces that preserve the Gauss image // International conference ``Global differential geometry''. Cherkassy (Ukraine), Juin 30-July 4, 1999. Abstracts of communications, p.14-15.

5. Gorkaviy V. Deformations of two-dimensional surfaces that preserve the Gauss image // N.Efimov International conference  on geometry and applications, Abraou-Dursau (Russia), 2000. Abstracts of communications, p.28-29.

6. V.Gorkavyy, Yu.A.Aminov, On closed surfaces in E3 and in E4 // International conference "Geometry and applications". Novosibirsk (Russia), March 13-17, 2000.  Abstracts of communications, p.13-15.

7. V.Gorkavyy, Yu.A.Aminov, On a H.Hopf problem // International conference "Geometry and applications". Novosibirsk (Russia), March 13-17, 2000. Abstracts of communications, p.15-16.

8. V.Gorkavyy, Deformations of two-dimensional surfaces with preservation of Grassmann image // International conference "Geometry and applications". Novosibirsk (Russia), March 13-17, 2000. Abstracts of communications, p.39-40.

9. Yu.A.Aminov, V.Gorkaviy, A.Sviatovets, On the reconstruction of particular close submanifolds in Euclidean space with a given closed Gauss image // International conference "Global differential geometry", Cherkassy (Ukraine), 2001. Abstract of communications.

10. V.Gorkavyy, Guichard orthogonal nets // Second Russian-German geometric conference, dedicated to A.D.Alexandrov anniversary. St-Petersburg (Russia), June, 2002. Abstracts of communications, p.25.

11. V.Gorkavyy, Guichard orthogonal nets // ICM-2002, August, 2002. Abstracts of short communications, p.63

12. V.Gorkavyy, A.Milka Geometric model of catastrophe // International conference “Inverse problems and non-linear equations”, August, 2002. Abstracts of short communications, p.34-35.

13. V.Gorkavyy, Bianchi congruencies in E4 // International conference “Kolmogorov and contemporary mathematics”. Moscow (Russia), June, 2003. Abstracts of short communications, p.807

14. V.Gorkavyy, Geometric Backlund transformations for surfaces in E4 // International conference "Global differential geometry", Cherkassy (Ukraine), 2003. Abstract of communications, p.35-36.

15. V.Gorkavyy, On pseudo-spherical congruencies in E4 // Fourth European Congress of Mathematics, Stockholm (Sweden), 2004. Programme&Abstracts, p.50.

16. V.Gorkavyy, Minimal isotropic surfaces in Minkowski space // International conference "Geometry in Odessa - 2004", Odessa (Ukraine), 2004. Abstracts of short communications, p.93.

17. V.Gorkavyy, Particular isotropic surfaces in Minkowski space // First Karazin scientific readings, Kharkiv (Ukraine), 2004. Abstracts of short communications, p.25-26.

18. V.Gorkavyy, On strongly isotropic surfaces in Minkowski space // International conference "Geometry in Odessa - 2005", Odessa (Ukraine), 2005. Abstracts of short communications, p.31-32.
 

  SEMINARS

2. Seminar ``Differential geometry and topology'' (Prof. Yu.Aminov),
    Kharkov National University, 1993- 1996.

3. Seminar on mathematics (Prof. V.Discant),
    Cherkassy Institute of Engineering and Technology, 1998.

4. Seminar on geometry and analysis (Prof. I.Sabitov),
     Moskow State University, 1998.

5. Seminar on mathematics (Prof. A.Odjievic, Prof.J.Cieslinski),
    Instytut Fizyki, Uniwersytet w Bialymstoku (Bialystok, Poland), 2000.

6. Seminar on mathematics (Prof. M.Marcak),
    Instytut Matematyki, Uniwersytet w Bialymstoku (Bialystok, Poland), 2000.

7. Seminar on mathematics and physics (Prof. A.Sym),
    Warsaw University (Poland), 2001.

8. Seminar on mathematics and physics (Prof. E.Khruslov),
    B.Verkin Institute for Low Temperature Physics & Engineering, 2002

OFFICE ADDRESS:  B.Verkin Institute for Low Temperature Physics & Engineering
                                  47, Lenin ave., 61103 Kharkiv, Ukraine

Tel.: (38-057) 330-85-84
E-mail: mailto:gorkaviy@ilt.kharkov.ua