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Prof.Dr. ERSAN AKYILDIZ (RETIRED)
FACULTY OF ARTS AND SCIENCES
PublicationsResearchMembership & Awards
E-mail :  
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Phone :  +90312210 2987
Fax :  +903122102985
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Education

  Doctorate, University of British Columbia, Mathematics

Publications (INTERNATIONAL)

Journal Papers

  A.1 Akyıldız,E., A vector field with one zero on G/P. "Proc. of the Amer. Math. Soc.", 67, (1977), p.32-34.
  A.2 Akyıldız,E., Vector fields and equivariant bundles. "Pac. Jour. of Mathematics", 81, (1979), p.283-289.
  A.3 Akyıldız,E., On the Gm-decomposition of G/P. "Jour.of Pure and Appl.Sci", 14, (1981), p.169-180.
  A.4 Akyıldız,E., Holomorphic vector fields and geometry of homogeneous spaces. "Jour. of the Fac. Sci.Karadeniz Univ.", 5, (1982), p.119-131.
  A.5 Akyıldız,E., Bruhat Decomposition via Gm-action. "Bull. Acad.Pol. Sci. Math", 28, (1982), p.541-547.
  A.6 Akyıldız,E., On the dimension of the solution space of systems of linear differential equations. "Arabian Jour. for Sci.and Engineering", 8, (1983), p.133-137.
  A.7 Akyıldız,E., Gysin homomorphism and Schubert calculus. "Pac.Jour. of Mathematics", 115, (1984), p.257-266.
  A.8 Akyıldız,E., Carrell,J.B., Lieberman,D., Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties. "Compositio Math.", 57, (1986), p.237-248.
  A.9 Akyıldız,E., Carrell, J.B., An algebaric formula for the Gysin homomorphism from G/B to G/P. "Illnois Jour. of Math.", 31, (1987), p.312-320.
  A.10 Akyıldız,E., Carrell, J.B., Cohomology of projective varieties with regular SL2-actions. "Manuscripta Math.", 58, (1987), p.473-486.
  A.11 Akyıldız,E., Akyıldız,Y., The relation of plucker coordinates to Schubert calculus. "Jour. of Diff. Geometry", 29, (1989), p.135-142.
  A.12 Akyıldız,E., Carrell,J.B., A generalization of Kostant-MacDonald Identity. "Proc. Natl. Acad. Sci.of USA", 86, (1989), p.3934-3937.
  A.13 Akyıldız,E., Lascoux,A., Pragacz,P., Cohomology of Schubert varieties of GLn/P. "Jour. of Diff.Geometry", 35, (1992), p.511-519.
  A.14 Akyıldız,E.,Güloğlu,İ.Ş., Ikeda,M., Note on generalized bent functions. "Jour.Pure and Appl. Algebra", 106, (1996), p.1-9.
  A.15 Akyıldız,E., Güloğlu,İ.Ş, Ikeda,M., Weight equations for binary linear codes and their applications. "Turkish Jour.Math.", 21, (1997), p.1-14.
  A.16 Akyıldız,E., Güloğlu,İ.Ş., Ikeda,M., Weight equations for binary linear codes. "Turkish Jour.Math.", (1998).
  A.17 E. Akyıldız, J:B.Carrell, Betti Numbers of Smooth Schubert varities and the remarkable formula of Kostant, Macdonald, Shapiro and Steinberg. "Michigan Mathematical Journal", 61, (2012), p.543-553.
  A.18 E.Akyıldız, N.Y.Harold,A.Sınak, Free Storage basis conversion over finite fields. "Turk J Math", 41, (2016), p.96-109.
 

Conference Papers

  A.1 Akyıldız,E., On the Schubert calculus Interpolation. "Proc. of the first International Conf. of Math.", 1, (1982), p.151-158.
  A.2 Akyıldız,E., Vector fields and cohomology of G/P. "Lec.Notes in Math.", 956, (1982), p.1-9.
  A.3 Akyıldız,E., Carrell,J.B., Lieberman,D.,sommese,A.J., On the graded ring asociated to holomorphic vector fields with exactly one zero. "Proj.Symp.Pure Math", 40, (1983), p.55-56.
  A.4 Akyıldız,E., Carrell,J.B., Zeros of holomorphic vector fields and Gysin homomorphism. "Proc. Symp. Pure Math.", 40, (1983), p.47-54.
  A.5 Akyıldız,E., SL2-actions and cohomology of Schubert varieties. "Topics in Algebra", 26, (1990), p.13-26.
  A.6 Ersan Akyıldız, An overview of Discrete Log and Trace based Public key cryptography over Finite Fields. "ICACM: International Conference on Applied and Computational Mathematics", (2012).
  A.7 Sever Ömer, Akyıldız Ersan, Hybrid Non-Repudiation Protocol with Pairing Based Cryptography. "3rd International Symposium on Digital Fronsics and Security", 3, (2015), p.58-63.
  A.8 Akyıldı Ersan, An overview of Discrete Log and Trace Based Public Key Cryptography on Finite Fields. "International Conference on Pure and Applied Mathematics (ICPAM 2015)", 1, (2015), p.1.
  A.9 Sever Ömer, Akyıldız Ersan, Improved Contract Signing Protocol Based onb Certificateless Hybrid Verifiably Encrypted Signature Scheme. "8th International Conference on Information Security and Cryptology", 8, (2015), p.1-5.

Publications (NATIONAL)

 

Conference Papers

  A.1 Akyıldız,E., On some applications of Gm-actions. "Proc.of the Symp. Pure Math.", 1, (1978), s.24-28.
  A.2 Akyıldız,E., Cebirsel uzaylarda SL2-etkileri. "Proc.of the Symp. Pure Math.", 2, (1980), s.31-37.
  A.3 Akyıldız,E., Aubertin,B., Zero scheme of a vector field is equal to fixed point scheme. "IV. Ulusal Matematik Sempozyumu", 4, (1991), s.13-17.
  A.4 Ersan Akyıldız, Hamdi Murat Yıldırım, New Properties of IDEA Ciphers Operations. "I. Ulusal Kriptoloji Sempozyumu Bildiriler Kitabı", 1, (2005), s.156-166.
  A.5 Ersan Akyıldız, Oguz Yayla, Scalar Multiplication on Elliptic Curves. "II. Ulusal Kriptoloji Sempozyumu", 1, (2006), s.114-125.
  A.6 Ersan Akyıldız, Sedat Akleylek, Kriptolojideki Gelişmeler. "TMMOB Sanayi Kongresi", 2007, (2007), s.173-178.
  A.7 M.R.Sial , E. Akyıldız, Storage Free Basis Conversion over Composite Finite Fields of odd characteristics. "6th International Information Security and Cryptology Conference", (2013), s.199-204.
  A.8 E.Akyıldız,Ç.Çalık,M.Özarar,Z.Tok,O.Yayla, RSA Kriptosistemi Parametreleri için Güvenlik Testi Yazılımı. "6th International Information Security and Cryptology Conference", (2013), s.124-127.
 

Book and Chapter in a Book

  A.1 Ersan Akyıldız, Sedat Akleylek, Canan Çimen, Şifrelerin Matematiği: Kriptografi. "ODTÜ Geliştirme Vakfı Yayıncılık", (2007).
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