bg
facebook my.vsu.bg webmail 

University of Structural Engineering & Architecture
(VSU) "Lyuben Karavelov" - Sofia

Close Assoc. Prof. Dr. Eng. Anita Handruleva Prof. Dr. Eng. Doncho Partov Prof. DSc. Eng. Konstantin Kazakov Assoc. Prof. Dr. Eng. Radan Ivanov доц. д-р инж. Иван Вайсилов гл. ас. инж. Петър Греков Assistant Prof. Eng. Iliana Stoynova Assistant Prof. Eng. Vladimir Matuski проф. д-р инж. Банко Банков проф. д-р инж. Рангел Рангелов Prof. Dr. Eng. Dimitar Dimitrov проф. д-р Николай Манев Assoc. Prof. Dr. Veselin Kantchev Mechanics and Mathematics
Close Departments Mechanics and Mathematics Low-rise Construction Building Structures Technology and Construction Management
Close Management Departments Degree Programs NEWS
Close Faculties & Departments Faculty of Construction Faculty of Architecture
Close About VSU Mission and Vision Accreditation Key Data & Contacts Short History Structure Faculties and Departments Service Units Annual raports Application of the law for the development of academic staff Regulations Buyer profile Location & Resources
Close Home page About VSU Education Students Admissions International Activity Research Public Communications Contacts Site Map

Johann Todorov Davidov

Personal Data

Address

“Lyuben Karavelov” Civil Engineering Higher School,
Department of Mathematic and Physics
175 Suhodolska Str., 1373 Sofia, Bulgaria

Telephone

(+359 2) 80 29 124

e-mail

jtd@math.bas.bg

Education

1978

Ph. D. in Mathematics

1972

M. Sc. in Mathematics, University of Sofia, Sofia, Bulgaria

Professional experience

2004

Doctor of Mathematical Sciences

 

“L. Karavelov” Civil Engineering Higher School, Sofia, Bulgaria

2009-

Professor

 

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

2005-

Professor

1989-2005

Associate Professor

1978-1989

Assistant Professor

 

University of Veliko Tarnovo, Bulgaria

1990-2000

2006-2007

Adjunct Professor

 

 

University of Sofia, Bulgaria

1978-

1971-1978

Adjunct Professor

Teaching Assistant

 

Higher Institute of Civil Engineering and Architecture, Sofia, Bulgaria

1975-1977

Adjunct Faculty

 

Abdus Salam Scool of Mathematical Sciences, GC University, Lahore, Pakistan

2009-

Visiting Lecturer

 

Florida International University, Department of Mathematics, Miami, USA

2007-2008

Visiting Lecturer

 

Max-Planck-Institut für Mathematik, Bonn, Germany

2002-2003

Visiting Scholar

 

Michigan State University, Department of Mathematics, East Lansing, USA

2000, 2001

Visiting Scholar under NSF-grant INT-9903302

 

Mathematisches Forschungsinstitut, Oberwolfach, Germany

1995, 1997, 2000

Visiting Scholar under the Research in Pair Programme

 

Middle East Technical University, Department of Mathematics, Ankara, Turkey

1998

Visiting Scholar

 

International Centre for Theoretical Physics, Trieste, Italy

1990

Visiting Scholar

 

International research grants and projects

1999-2002

Geometry of four-manifolds and twistor spaces, NSF grant INT-9903302 (investigator-coordinator from the Bulgarian side)

200-2004

European Differential Geometry Endeavor, Research Training Network HPRN-CT 2000-00101, supported by the European Human Potential Programme

1996-2001, 2006-2007, 2009-2011, 2012-

Complex analysis, complex geometry and mathematical physics, joint research project with the Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow, Russia (investigator-coordinator from the Bulgarian side in the period 2006-2007 and 2009-present

 

National research projects

2009-2011

Geometry of Riemannian manifolds with special structures,

“L. Karavelov” Civil Engineering Higher School, Sofia, Bulgaria

 

Research interests

 

Differential Geometry: twistor spaces, almost-complex manifolds, almost-contact manifolds, self-dual manifolds, Hermitian surfaces, harmonic maps

Complex Analysis: invariant pseudometrics - Bergman, Kobayashi, Carathéory

 

Teaching experience

 

Undergraduate courses: Calculus, Real analysis, Complex analysis,

Differential geometry of curves and surfaces, Linear algebra, College algebra, Descriptive geometry.

Graduate courses: Harmonic and holomorphic maps, Bundles and connections, Several complex variables, d-bar problem, Introduction to smooth manifolds, Calculus on manifolds

Supervision of graduate students: Supervised 5 M.S. and 3 Ph.D.

 

Membership in professional organizations

 

American Mathematical Society,

Union of Bulgarian Mathematicians

 

Other professional activities

2010-

Member of the General Assembly of the Bulgarian Academy of Sciences

2009-

Chairman of the General Assembly of Scientists, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences.

2008-

Member of the Scientific Council of the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

2006-2010

Member of the Commission on Mathematics, High Testimonial Committee of Bulgaria (2009 and 2010 - Secretary of the Commission)

1992-2000

Member of the Scientific Council of the Department of Mathematics and Informatics, University of Veliko Tarnovo

2006-

Member of the Editorial Board of JP Journal of Geometry and Topology

2012-

Member of the Editorial Board of Mathematical Sciences and Applications E-Notes

1981-

Reviewer for Mathematical Reviews

1979-

Reviewer for Zentralblatt für Mathematik

 

Languages

 

English, Russian, French, German, Bulgarian - native

Main publications:

 

  1. On a Principle of Compactness and Generalization of Certain Theorems of H.Cartan and Carathéodory, Comp. Rend. Acad. Bulg. Sci., 29, no.1 (1976), 923-926.

  2. The Representative Domain of a Complex Manifold and the Lu-Qi-Keng Conjecture, Comp. Rend. Acad. Bulg. Sci., 30, no.1 (1977), 13-16.

  3. On the Infinitesimal Transformations of a Bounded Circular Domain in , Compt. Rend. Acad. Bulg. Sci., 30, no.12 (1977), 1681-1684.

  4. Bounded Families of Holomorphic Mappings between Complex Manifolds, Serdica, 5 (1979), 173-178.

  1. Representative Domains of Complex Manifolds, Pliska, Studia Mathematica Bulgarica, 4 (1981), 36-57.

  2. Бележка върху принципа за компактност (English summary), Mathematics and Education in Mathematics, Proceedings of the 11th Spring Conference of the Union of Bulgarian Mathematicians, 1982, 161-165.

  3. Examples of Typical Carathéodory and Kobayashi Pseudodistances, Compt. Rend. Acad. Bulg. Sci., 39, no.1 (1985), 23-25. (with V. Hristov)

  4. Note on the Extendability of Holomorphic Mappings into Complex Manifolds, Mathematics and Education in Mathematics, Proceedings of the 15th Spring Conference of the Union of Bulgarian Mathematicians, 1986, 208-215.

  5. Existence of Holomorphic Functions on Twistor Spaces, Bull. Soc. Math. Belgique, 40, fasc. I-ser. B (1989), 131-151. (with O. Mushkarov)

  6. Twistor Spaces with Hermitian Ricci Tensor, Proc. Amer. Math. Soc., 109, no.4 (1990), 1115-1120. (with O. Mushkarov)

  7. On the Riemannian Curvature of a Twistor Space, Acta Math. Hungarica, 58, no.3-4 (1991), 319-332. (with O. Mushkarov)

  8. Twistor Spaces and Harmonic Maps (in Russian), Uspehi Mat. Nauk, 48, no.3 (1993), 3-96; English translation in Russian Math. Surveys, 48, no.3 (1993), 1-91. (with A. Sergeev)

  9. Twistor Spaces and Their Applications in Differential Geometry, Mathematics and Education in Mathematics, Proceedings of the 23rd Spring Conference of the Union of Bulgarian Mathematicians, 1994, 54-83. (with O. Mushkarov)

  10. Almost Complex Structures on Twistor Spaces, in K.Sekigawa, S.Dimiev (Editors), Almost Complex Structures, Proceedings of the International Workshop held in Sofia, August 20-25, 1992, World Scientific, 1994, 113-149. (with G. Grantcharov and O. Mushkarov)

  11. Kähler Curvature Identities for Twistor Spaces, Illinois J. Math., 39, no.4 (1995), 627-634. (with G. Grantcharov and O. Mushkarov)

  12. Compact Self-Dual Hermitian Surfaces, Trans. Amer. Math. Soc., 348, no.8 (1996), 3051-3063. (with V. Apostolov and O. Mushkarov)

  13. Geometry of Hermitian Surfaces, in S.Dimiev, K.Sekigawa (Editors), Topics in Complex Analysis, Differential Geometry and Mathematical Physics, Proceedings of the 3rd International Workshop on Complex Structures and Vector Fields held in St.Konstantin, 23-29 August, 1996, World Scientific, 1997, 94-104. (with V. Apostolov, G. Grantcharov and O. Mushkarov)

  14. Twistor Quantization of Loop Spaces (in Russian), Proceedings of the Steklov Institute of Mathematics, 217 (1997), 5-99, English translation, pp. 1-96. (with A. Sergeev)

  15. Compact Hermitian Surfaces and Isotropic Curvature, Illinois J. Math., 44 (2000), 438-450. (with V. Apostolov)

  16. Twistorial Examples of *-Einstein Manifolds, Ann. Glob. Anal. Geom., 20 (2001), 103-115. (with G. Grantcharov and O. Mushkarov)

  17. Twistorial Examples of Almost Contact Metric Manifolds, Houston J. Math., 28, no.4 (2002), 711-740.

  18. Harmonic Almost-Complex Structures on Twistor Spaces, Israel J. Math., 131 (2002), 319-332. (with O. Mushkarov)

  19. Almost Contact Metric Structures and Twistor Spaces, Houston J. Math., 29, no.3 (2003), 639-674.

  20. Isotropic Kähler Hyperbolic Twistor Spaces, J. Geom. Phys., 52 (2004), 74-88. (with D. Blair and O. Mushkarov)

  21. Einstein Condition and Twistor Spaces of Compatible Partially Complex Structures, Diff. Geom. and its Appl., 22 (2005), 159-179.

  22. Hyperbolic Twistor Spaces, Rocky Mountain J. Math., 35 (2005), 1437-1465. (with D. Blair and O. Mushkarov)

  23. Eta-Einstein Condition on Twistor Spaces of Odd-Dimensional Riemannian Manifolds, J. Geom., 86 (2006), 42-53.

  24. Curvature Properties of the Chern Connection of Twistor Spaces, Rocky Mountain J. Math., 39 (2009), 27-48. (with G. Grantcharov and O. Mushkarov)

  25. Twistor Spaces of Generalized Complex Structures, J. Geom. Phys., 56 (2006), 1623-1636. (with O. Mushkarov)

  26. Self-dual Walker Metrics with Two-step Nilpotent Ricci Operator, J. Geom. Phys., 57, no.1 (2006), 157-165. (with O. Mushkarov)

  27. Twistorial Construction of Generalized Kähler Manifolds, J. Geom. Phys., 57, no.3 (2007), 889-901. (with O. Mushkarov)

  28. Almost Kähler Walker 4-Manifolds, J. Geom. Phys., 57, no.3 (2007), 1075-1088. (with J.C. Díaz-Ramos, E. García-Río, Y. Matsushita, O. Mushkarov and R. Vázquez-Lorenzo)

  29. Hermitian-Walker 4-Manifolds, J. Geom. Phys., 58, no.3 (2008), 307-323. (with J.C. Díaz-Ramos, E. García-Río, Y. Matsushita, O. Mushkarov and R. Vázquez-Lorenzo)

  30. Geometry of Neutral Metrics in Dimension Four, Proceedings of the 37th Spring Conference of the Union of Bulgarian Mathematicians, Borovets, April 2-6, 2008, pp. 37-53 (available at arXiv:0804.2132v1 [mathDG] 14 Apr. 2008). (with G. Grantcharov and O. Mushkarov)

  31. Para-hyperhermitian Surfaces, Bull. Math. Soc. Sci. Math. Roumanie, 52 (100), no.3 (2009), 281-289. (with G. Grantcharov, O. Mushkarov, M. Yotov)

  32. Generalized Pseudo-Kähle Structures, Comm.Math.Phys., 304 (2011), 49-68 (with G. Grantcharov, O. Mushkarov, M. Yotov).

  33. The Twistor Space of a Quaternionic Contact Manifolld, Quart. J. Math., (with S. Ivanov, I. Minchev) (to appear)

  34. Para-hyperhermitian Structures on Complex Surfaces (with G. Grantcharov and O. Mushkarov) (to appear)

 

 

356 0.110