Papers

Papers

  1. Kennzeichnung der geodaetischen Abstandssphaeren in E...   Mathematische Annalen 248(1979) pp 230-240.
  2. Kennzeichnung der geodaetischen Abstandssphaeren in H...   Mathematishe Annalen 251(1980) pp.151-170.
  3. On the shadow Lines of a convex surface. Acta Math. Hung. 41(1983) pp. 219-224.
  4. On the maximum rank of a tensor product. Acta Math. Hung. 45(1983) pp. 95-97.
  5. On the existence of a circle enveloping; a family of circles Amer. Math. Monthly 92(1985) p.287 
  6. The topology of the set of real mxn matrices of rank k. Rev. Roum. Math. 31(1986) pp. 247-250. 
  7. A remark concerning a mechanical characterization of the sphere. Proceedings of AMS 96(1986). pp. 648-650.
  8. On the C-curves of a Convex Surface. Math. Nachr. 139(1988) 31-35.
  9. On the dimension of the image of a multilinear function. Journal of Linear and Multil. Algebra . 20(1990) pp.323-327.
  10. Surfaces of E satisfying certain restrictions on their normal bundle  (with T. Chassanis, D. Koutroufiotis) Transactions of AMS 319(1990) pp.329-347.
  11. Surfaces with isometric geodesics.(with C. Charitos)  Edinburgh. M.S. 1991(34) 359-362
  12. Apollonian Cubics: An Application of Group Theory to a Problem in Euclidean Geometry Cubics (with A. Thoma Mathematics Magazine 72 (5) (1999) 356-366 
  13. On Some Actions of D3 on the triangle. Forum Geometricorum 4(2004) 157-176 [Download pdf-file] 
  14. On the cyclic complex of a cyclic quadrangle. Forum Geometricorum 6(2006) 29-46 [Download pdf-file] 
  15. Orthocycles, bicentrics, and orthodiagonals. Forum Geometricorum 7(2007) 73-86 [Download pdf-file] 
  16. On the Newton line of a quadrilateral. Forum Geometricorum 9(2009) 81-98 [Download pdf-file] 
  17. Conic homographies and bitangent pencils. Forum Geometricorum 9(2009) 229-257 [Download pdf-file] 
  18. Three maximal cyclic quadrangles. Forum Geometricorum 10(2010) 99-107 [Download pdf-file] 
  19. Triangles with Given Incircle and Centroid. Forum Geometricorum 11(2011) 27-51 [Download pdf-file] 
  20. On Polygons Inscribed in Other Polygons. Journal for Geometry and Graphics
    Volume 15 (2011), No. 2, 141 - 158. [Download pdf-file] 
  21. On Tripolars and Parabolas. Forum Geometricorum 12(2012) 287-300 [Download pdf-file] 
  22. Pairings of circles and Sawayama's theorem. Forum Geometricorum 13(2013) 117-131. [Download pdf-file] 
  23. The associated harmonic quadrilateral. Forum Geometricorum 14(2014) 15-29. [Download pdf-file] 
  24. A gallery of conics by five elements. Forum Geometricorum 14(2014) 295-348. [Download pdf-file] 
  25. Ellipse generation related to orthopoles. Journal of Classical Geometry 3(2014) 1-23. [Download pdf-file] 
  26. Droz-Farny, an inverse view. Mathematical Reflections 2(2015) 1-4. [Download pdf-file] 
  27. Some remarks on a Sangaku from Chiba. Forum Geometricorum 15(2015) 275-280. [Download pdf-file] 
  28. The triangle construction {α,b-c,tA}. Forum Geometricorum 16(2016) 115-117. [Download pdf-file] 
  29. A Characterization of the Parallelogram. Mathematical Reflections 3(2016) 1-3. [Download pdf-file] 
  30. On the Diagonal and Iscribed Pentagons of a Pentagon. Forum Geometricorum 16(2016) 207-225. [Download pdf-file] 
  31. A Characterization of the Rhombus. Forum Geometricorum 16(2016) 331-336. [Download pdf-file] 
  32. Putting the icosahedron into the octahedron. Forum Geometricorum 17(2017) 63-71. [Download pdf-file] 
  33. Gergonne meets Sangaku. Forum Geometricorum 17(2017) 143-148. [Download pdf-file] 
  34. On Some Elementary Properties of Quadrilaterals. Forum Geometricorum 17(2017) 473-482. [Download pdf-file] 
  35. Parabola Conjugate to Rectangular Hyperbola. Forum Geometricorum 18(2018) 87-92. [Download pdf-file] 
  36. Circles Associated to Pairs of Conjugate Diameters. International Journal of Geometry 7(2018) 21-36. [Download pdf-file] 
  37. Rectangles Circumscribing a Quadrangle. Forum Geometricorum 18(2018) 161-184. [Download pdf-file] 
  38. A Characterization of the Focals of Hyperbolas. Elemente der Mathematik 74(2019) 131-134. [Download pdf-file] 
  39. On the Jerabek Hyperbola. International Journal of Geometry 7(2018),No. 2, 5-11. [Download pdf-file] 
  40. Self-Pivoting Convex Quadrangles. Forum Geometricorum 18(2018),321-347. [Download pdf-file] 
  41. Parabolas and families of convex quadrangles. Journal of Classical Geometry vol.4(2019) Nr 8. [Download pdf-file] 
  42. A short proof of Morley's theorem. Elemente der Mathematik 74(2019) 80-81. [Download pdf-file] 
  43. Second Note on the Jerabek Hyperbola. International Journal of Geometry 8(2019),No. 1, 32-37. [Download pdf-file] 
  44. Refactoring Equiaffinities. International Journal of Geometry 8(2019),No. 2, 54-59. [Download pdf-file] 
  45. Triangles sharing their Euler circle and circumcircle. International Journal of Geometry 9(2020),No. 1, 5-24. [Download pdf-file] 
  46. A similarity property of trapezia. Global Journal of Advanced Research on Classical and Modern Geometries 9(2020),No. 1, 8-14. [Download pdf-file] 
  47. Equilaterals Inscribed in Conics. International Journal of Geometry 10(2021),No. 1, 5-24. [Download pdf-file] 
  48. On rectangular hyperbolas circumscribing a triangle. Global Journal of Advanced Research on Classical and Modern Geometries 10(2021),No. 1, 1-14. [Download pdf-file] 
  49. Perspective triangles and related structures. International Journal of Geometry 10(2021),No. 2, 95-108. [Download pdf-file] 
  50. Symmedian and isodynamic points relations. Elemente der Mathematik 76(2021) 137-153. [Download pdf-file] 
  51. On pencils of hyperbolas. Global Journal of Advanced Research on Classical and Modern Geometries 10(2021),No. 2, 102-121. [Download pdf-file] 
  52. Geometric Aspects of Moebius Transformations. International Journal of Geometry 10(2021),No. 4, 115-122. [Download pdf-file] 
  53. Similarities related to pivoting and Brocard points. International Journal of Geometry 11(2022),No. 1, 54-77. [Download pdf-file] 
  54. Two triples of lines related to Steiner's ellipse. Global Journal of Advanced Research on Classical and Modern Geometries 11(2022),No. 1, 9-29. [Download pdf-file] 
  55. The conic of intersections of an affinity. International Journal of Geometry 11(2022),No. 3, 16-40. [Download pdf-file] 
  56. Note on a Sangaku like construction of X(55). Sangaku Journal of Mathematics 7(2023), 13-15. [Download pdf-file] 
  57. On Ceva's and Seebach's theorems. Global Journal of Advanced Research on Classical and Modern Geometries 12(2023),No. 1, 20-34. [Download pdf-file] 
  58. On a Sangaku like configuration involving a triangle and three congruent circles. Sangaku Journal of Mathematics 7(2023), 42-53. [Download pdf-file] 
  59. On Moebius transformations and polygons circumscribing conics. International Journal of Geometry 12(2023),No. 3, 83-109. [Download pdf-file] 
  60. Circle pencils and unbounded conics. Global Journal of Advanced Research on Classical and Modern Geometries 12(2023),No. 2, 169-186. [Download pdf-file] 
  61. Projectivities and Circumconics of a Triangle. International Journal of Geometry 12(2023),No. 4, 64-88. [Download pdf-file] 
  62. On van Lamoen's theorem. International Journal of Geometry 13(2024),No. 1, 35-38. [Download pdf-file] 

Books
I like reading but I like also writing. There are lots of notes and drafts used in my lectures. Most of them are in Greek. The following books grew up from lectures. They are in reality notes, short and informative, with many topics discussed in the exercises.

From the second and the fourth I have only one reprint. Geometry is still available and Fortran IV(1961) is now on ... Fortran 2000. Anyway, I use it now and then for the algorithms and formulas it contains. The fourth book was inspired from the lectures of my friend Hans Samelson on Lie-Groups. Stimulated from his lectures, I studied the classification of semi-simple Lie Groups, which is reducible to the classification of their corresponding Lie-Algebras. At that time fascinated me the cooperation of Algebra, Geometry and Topology conveing to this beautiful classification.

Translations
Gilbert Strang, Linear Algebra with applications, published as

Γραμμική Αλγεβρα και Εφαρμογές, Πανεπιστημιακές Εκδόσεις Κρήτης 1995

Positions
University of Bonn (Research Fellow, Instructor), University of Cologne (Research Fellow), University of Essen (Instructor), Univ. of Crete, Dept. of Mathematics (Instructor, Assistant Professor, Associate Professor) University of Cyprus(visiting professor)

Books
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