Азнив Киркор Каспарян

Азнив Киркор Каспарян

Професор
Доктор

Алгебра

Имейл: 
kasparia@fmi.uni-sofia.bg
Телефон: 
+359 2 8161 710
Кабинет: 
ФМИ-529

Образование и научни степени

1993:   PhD, University of Utah, Salt Lake City

Научни интереси

  • Алгебрична геометрия

Преподавателска дейност

Зимен  семестър на  2016/2017 уч. г.

  • Алгебра I - спец. Компютърни науки, I курс, II поток
  • Линейна алгебра - спец. Математика и  Приложна математика, I курс
  • Увод в комутативната алгебра - избираема дисциплина за бакалаври и магистри
  • Хомологична алгебра - избираема дисциплина за магистри

Списък с публикации

  1. Mac Williams identities and polarized Riemann-Roch conditions (with Marinov I.), arXiv:1604.08538v3 [cs. IT] 20 Aeptember 2016.
  2. Riemann Hypothesis Analogue for locally finite modules over the absolute Galois group of a finite field (with Marinov I.), arXiv:1608.05328v1 [math. AG] 18 August 2016.
  3. Non-associative operations on variations of Hodge structure, C. R. Acad. Bulg. des Sciences, 68 (2015), 10, 1223-1228.
  4. Toroidal compactifications of discrete quotients of period domains, International Workshop ''Groups and Rings - Theory and Applications'', (GRiTA 2015), July 15-22, 2015, Sofia, Bulgaria, pp. 56-58.         
  5. Duursma's reduced polynomial (with  Marinov I.), accepted in Advance in Mathematics of Communication, (arXiv:1505.01993v1 [cs. IT] 8 May 2015).
  6. Tangent codes (with Velikova E.), submitted to ''Finite Fields and their Applications'', (arXiv:1409.4583v2 [cs. IT] 8 May 2015).
  7. Fundamental groups of   toroidal compactifications (with G. Sankaran), submitted to Asian Journal of Mathematics (arXiv:1501.00053v2 [math. AG] 13 January 2015).
  8. Tangent codes (with Velikova E. and Marinov I.), International Conference ''Mathematics Days in Sofia'', July 7-10. 2014. Sofia, Bulgaria, pp.32-34.
  9. MDS-deformations of linear codes (with Velikova E.), Proceedings of VII International Workshop ''Optimal codes and related topics'', September 6-12, 2013, Albena, Bulgaria.
  10. Submodules of curves over finite fields, C. R. Bulg. Acad. Sci. 65 (2012), 437-440.
  11. Applications of principal isogenies to constructions of ball quotient surfaces, Preprint. Galois groups of co-abelian ball quotient covers, arXiv:1201.0094.
  12. Co-abelian toroidal compactifications of torsion free ball quotients, arXiv:1201.0099v3.
  13. Ball quotients of non-positive Kodaira dimension (with Nikolova L.), C. R. Bulg. Acad. Sci. 64 (2011), 195-200.
  14. Modular forms on ball quotients of non-positive Kodaira dimension, Journal  of Geometry and Symmetry in Physics 20 (2010), 69-96.
  15. Weak form of Holzapfel's Conjecture,  (with Kotzev B.)  Proc. Eleventh Int. Conf. Geometry, Integrability and Quantization, Avangard Prima, 2010, pp. 134-145.
  16. Normally generated subspaces of logarithmic canonical sections (with Kotzev B.),   Ann. Univ. Sofia, vol. 101 (2014) 19-4.
  17. Arithmetic proportional elliptic configurations with comparatively large number of irreducible components, (with Holzapfel, R-P.) Sixth International Conference on Geometry, Integrability and Quantization, Softex, 2005,  pp. 252-261.
  18. Lie gyrovector spaces, (with Ungar, A.) Journal of Geometry and Symmetry in Physics 1 (2003), 3-53.
  19. Compressed product of balls and lower boundary estimates on Bergman kernels, Proc. Fourth Conf. Geometry, Integrability and Quantization, Coral Press Scientific Publishing, 2003, pp. 193-206.
  20. Inequalites among the number of the generators and relations of a Kähler group, Proc. Third Conf. Geometry, Integrability and Quantization, Coral Press Scientific Publishing, 2002, pp. 315-317;  Cohomological restrictions on Kähler groups, arXiv:math. AG/0105177.
  21. Harmonic maps of compact Kähler manifolds to exceptional local symmetric spaces of Hodge type and holomorphic liftings to complex homogeneous fibrations, Ann. Univ. Sofia 94 (2001), 97-121.
  22. Non-generic weights of locally homogeneous variations of Hodge structure, C. R. Bulg. Acad. Sci. 54  (2001), 15-20.
  23. Fibered surfaces, Ann. Univ. Sofia 94 (2001), 49-53.
  24.  Hermitian symmetry of certain Kähler groups, C. R. Bulg. Acad. Sci. 54  (2001), 19-20.
  25.  On the compact variations of Hodge structure, C. R. Bulg. Acad. Sci. 52 (1999), 17-21.
  26.  Hermitian symmetry of infitesimally trivial harmonic images of compact Kähler manifolds, In "Aspects of Complex Analysis, Differential Geometry, Mathematical Physics and Applications", World Scientific, 1999, 121-134.
  27.  Variations of Hodge structure, expressed by meromorphic differentials on P2, Ann. Univ. Sofia 92 (1998), 17-30.
  28.  When does a bounded domain cover a projective manifold? (Survey), Serdica Math. Journ. 23 (1997), 165-176.
  29.  The variations of Hodge structure of maximal dimension with associated Hodge numbers h(2,0) > 2 and h(1,1) = 2q + 1 do not arise from geometry, Trans. Amer. Math. Soc. 347 (1995), 4985-5007.
  30.  Variations of Hodge structures of maximal dimension, (with Carlson, J., Toledo D.,) Duke Math. Journ. 58 (1989), 669-694. 
  31.  One more proof of Infinitesimal Torelli Theorem for complete intersections in Kahler C-spaces, Preprint.
  32.  Calabi-Yau manifolds of some special forms, Letters in Math. Physics 15 (1988), 171-174.
  33.  Увод в многообразията на Калаби-Яо, (с Тодоров, А.) Изд. БАН, 1988.
  34.  A new central polynomial for 3 x 3 matrices, (with Drenski, V.) Commun. in Algebra 13 (1985), 745-753.
  35.  Polynomial identities of 8 degree for 3 x 3 matrices, (with Drenski, V.) Ann. Univ. Sofia 77 (1983), 175-195.
  36.  Some polynomial identities of matrix algebras, (with Drenski, V.) C. R. Acad. Bulg. Sci. 36 (1983), 565-569.

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