Проф. др. Дончо Димовски

Од institutzamatematika

Скокни на: содржини, барај

DoncoDimovski.jpg

Содржина

Basic information

  • Name: Dimovski Donco
  • Born: October 1, 1954, Bitola, Macedonia
  • Married, two children

Education

  • Ph.D. State University of New York, Binghamton, NY, 1983
  • MS. University of Skopje, 1979
  • BS. University of Skopje, 1976

Positions

  • Full Professor (tenured position) University of Skopje, 1994-
  • Associate Professor (tenured position) University of Skopje, 1989-1993
  • Associate Visiting Professor, Cornell University, USA, 1990
  • Visiting Research position, Carleton University, Canada, 1990
  • Docent (tenured position) University of Skopje, 1984-1989
  • Assistant (tenured position), University of Skopje, 1976-1980; 1983-1984
  • Graduate student, State University of New York, Binghamton, NY, 1980-1983

Honors

  • Honored student, University of Skopje, 1976
  • Honored Ph.D. Dissertation, SUNY at Binghamton, 1983
  • Price "Goce Delcev", Ministry of Science, Macedonia, 1989
  • DAAD stipend, 1994

Address

  • Office: 
Prirodno-Matematicki Fakultet
Matematicki Institut
P.F. 162
91000 Skopje
MACEDONIA
  • Home 
str. Gigo Mihajlovski 2-214
91000 Skopje
MACEDONIA
  • Phone: (389)-2-3117-055, (389)-2-3243-630
  • email : donco@iunona.pmf.ukim.edu.mk

Research interest

  • Geometric and low dimensional topology
  • One-parameter fixed point theory and codimension one coincidence
  • 4-manifolds, links and braids
  • dynamical systems
  • (n,m)-algebraic structures and (n,m)-metric spaces.


PUBLICATIONS

  1. Additive semigroups of integers; Prilozi, MANU, IX 2, Skopje, 1977, 21-26.
  2. Some existence conditions for vector valued groups, God.Zbor na Mat.Fak., 33-34, Skopje, 1982- 83, 99-103.
  3. Non-simply connected Casson handles; Pos.Izd. Kniga I, Mat.Fak. Skopje, 1984, 1-160; Ph.D. thesis, SUNY-Binghamton, 1983, Univ. Microfilms, Ann Arbor, Michigan order #83-16364.
  4. On a class of vector valued groups; Proc.Conf.Alg. and Logic, Zagreb, 1984, 29-37 (joint with G. Cupona).
  5. Non-simply connected copes; Topology Appl. 21, 1985, 147-157.
  6. Examples of vector valued groups; Prilozi, MANU, VI 2, Skopje, 1985, 105-114.
  7. Free vector valued semigroups; Proc. Conf. Alg and Logic, Cetinje, 1986, 55-62.
  8. On (3,2)-groups; Proc.Conf. Alg. and Logic, Cetinje 1986, 63-71.
  9. A geometric proof that boundary links are homotopically trivial; Topology Appl. 29, 1988, 237-244.
  10. Free (n+1,n)-groups, Vector Val. Sem. and Groups, MANU, Skopje, 1988, 103-122.
  11. One-dimensional (4,2)-Lie groups; Vector Val. Sem. and Groups, MANU, Skopje, 1988, 91-102, (joint with K. Trencevski).
  12. Commutative (2m,m)-groups; Vector Val.Sem. and Groups, MANU, Skopje, 1988, 79-90, (joint with S. Ilich).
  13. Vector valued groupoids, semigroups and groups, Vector Val.Sem. and Groups, MANU, Skopje, 1988, 1-79, (joint with G. Cupona, N. Celakoski and S. Markovski).
  14. Introduction to combinatorial theory of Vector valued semigroups; Vector Val.Sem. and Groups, MANU, Skopje, 1988, 141-184, (joint with G. Cupona, S. Markovski and B. Janeva).
  15. Nonexistence of continuous (4,3)-groups over R, Proc. Conf. Alg. and Logic, Sarajevo, 1987, Novi Sad, 49-57, (joint with K. Trencevski).
  16. Fully commutative vector valued groups, Prilozi, MANU, Skopje, 1987, 5-17, (joint with G. Cupona and A. Samardziski).
  17. C -homogeneous curves on orientable closed surfaces, Geometry and Topology, edited by G.M.Rassias and G.M.Stratopoulos, World Scientific Publ. Co. Singapore, 1989, 100-104 (joint with D. Repovsh and E. Shcepin).
  18. A geometry of homotopically trivial links, Colloquia Mathematica Societatis Janos Bolyai, 55. Topology, Pecs (Hungary), 1989, 191-198.
  19. Free commutative (2m,m)-groups, Mat. Bilten, 13, 1989, Skopje, 25-34, (joint with S. Ilich).
  20. One-parameter fixed point theory; Forum Mathematicum 2, de Gruyter, 1990, 125-154 (joint with R. Geoghegan).
  21. Free (2m,m)-groups, Znanstvena Revija, Maribor, Year 2, No. 1, 1990, 29-40, (joint with S. Ilich).
  22. Free vector valued groups, Communications in Algebra, 19(3), 1991, 965-979, (joint with S. Ilich and B. Janeva).
  23. Topologijata vo Makedonija, Razvoj topologije u Jugoslaviji, Zagreb, 1991, 147-154.
  24. Linearni ravenki i linearni neravenki so nepoznata i pod znakot na apsolutna vrednost, Numerus 4, Skopje, 1991, 1-63, (joint with S. Stojoski).
  25. Groups with unique product structures, Journal of Algebra, Vol. 146, No. 1, 1992, 205-209.
  26. Complex commutative vector valued groups, Macedonian Academy of Science and arts, Skopje 1992, 1-117, (joint with K. Trencevski).
  27. Generalized metrics - (n,m,r) - metrics, Mat. Bilten, 16, Skopje, 1992, 73-76.
  28. Incidence structures with n-metrics, Zbornik Rad. Fil. Fak. u Ni{u, Ser. Mat. 6, Nis, 1992, 151-155, (joint with A. Mandak)
  29. One-parameter fixed point indices for periodic orbits, Nielsen fixed point theory and dynamical systems, Contemporary Mathematics, Vol. 152, 33-42, 1993.
  30. Klasifikacija na haoticni atraktori vo elektricni kola so broevi, Zbornik sinopsisi, 4-th ETAI, Ohrid, 7-8, 1993 (joint with Z. Tasev and Lj. Kocarev).
  31. Controling the trajectories in chaotic attractors, Balcan IFAC-TYPE conf. on AAS, 33-35, 1993, (joint with D. Gligorovski and V. Urumov).
  32. Praktikum po elementarna matematika, Prosvetno delo, Skopje, 1993, 1-243, (joint with K. Trencevski, R. Malcevski and B. Josifovski).
  33. Voved vo teorija na broevi, Skopje, 1993, 1-112, (joint with K. Trencevski, R. Malcevski).
  34. One-parameter fixed point indices, Pacific Journal of Mathematics, Vol. 164, No. 2 1994, 263-297.
  35. Topological description of a chaotic attractor with spiral structure, Physics letters A 190, 1994, 399-402. (joint with Lj. Kocarev and Z. Tasev.)
  36. Knotted periodic orbits in Chua's circuit, International Journal of Bifurcation and Chaos, Vol. 4, No. 3, 1994, 609-621 (joint with Lj. Kocarev, Z. Tasev and L.O.Chua).
  37. Zanimliva matematika, Skopje, 1994, 1-112, (joint with K. Trencevski and R. Malcevski).
  38. Control in multidimensional chaotic systems by small perturbations, Phys. Rev. E, Vol. 51, 1995, 1690-1694 (joint with D. Gligorovski and V. Urumov).
  39. Priracnik za podgotovka za polaganje priemen ispit po matematika za srednite ucilista, Skopje, 1995, 1-90
  40. Combinatorial description of spin manifolds, Math. Zbornik, Skopje, 1-6, 1995.
  41. On homogeneity of compacta in manifolds, Atti. Sem. Mat. Fis. Univ. Modena, XLIII, 25-31, 1995 (joint with D. Repovsh).
  42. On (m + k,m) - groups for k&LTm, General Algebra and Discrete Mathematics, K. Denecke, O. Luders (eds), Heldermann-Verlag Berlin, 1995, 93-99.

Other activities

  • Referee for: Fundamenta Mathematica; Forum Mathematicum; Pacific Journal of Mathematics; Topology and Applications
  • Referee for Mathematical Reviews
  • Member of Macedonian Union of Mathematicians and Computer Scientists
  • Member of American Mathematcal Society
  • Editor of the journal "Matematicki Bilten", Skopje
  • Managing editor of the popular mathematical publication "Sigma", Skopje
  • Editor of the popular mathematical publication "Numerus", Skopje
  • Leader of the Macedonian team for the International Mathematical Olympiads

A short list of invited talks at international conferences

  • Algebraic and geometric topology, Warsaw, Poland, 1984;
  • Artin braid groups, Santa Cruz, USA, 1986;
  • Low dimensional topology, Santa Barbara, USA, 1986;
  • Geometric topology and Shape theory, Dubrovnik, Yugoslavia, 1986;
  • Algebra and Logic, Sarajevo, Yugoslavia, 1987
  • Four dimensional topology, Oberwolfach, Germany,1989;
  • Topology conference, Dru'ba, Bulgaria, 1990;
  • Nielsen fixed point theory and dynamical systems, South Hadley, USA, 1992;
  • Topological fixed point theory, Cortona, Italy, 1993;
  • Workshop on Nielsen fixed point theory, Warsaw, Poland, 1986.
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