Gökhan SOYDAN (Ph.D.)

 

Department of Mathematics
Uludağ University
16059, Görükle, Bursa-TURKEY

Phone: + 90 (224) 294 17 56,

Fax: + 90 (224) 294 18 98

e-mail:  gsoydan@uludag.edu.tr

 

Alternative e-mail: gsoydan74@gmail.com

 

CV

Title : Assoc. Prof. Dr.

 Division : Algebra and Number Theory

 Research Area : Number theory, especially elliptic curves and Diophantine equations

 

Papers published at International Journals :

  1.  Zhu, H., Soydan, G. , Qin, W., A note two Diophantine equations x^2±2^a.p^b =y^4, Miskolc Mathematical Notes, to appear (2013) (SCI-EXP).

  2. Cangül, İ.N., Demirci, M., İnam, İ., Luca, F., Soydan, G., On The Diophantine Equation x^2+2^a3^b.11^c=y^n, Mathematica Slovaca, Vol. 63, No.3, (2013) (SCI-EXP) 1-13.

  3.  Luca, F., Soydan, G., On the Diophantine equation nx^2+2^m=y^n, Journal of Number Theory, Vol. 132, No.11 November (2012) (SCI).

  4. Soydan, G ., On The Diophantine Equation x^2+7^a11^b=y^n, Miskolc Mathematical Notes, Vol.13, No.2, (2012) 515-527 (SCI-EXP).

  5. Soydan, G., Ulas, M., Zhu, H., On The Diophantine Equation x^2+2^a19^b=y^n, Indian Journal of Pure and Applied Mathematics Vol. 43, No.3, (2012), 251-261 (SCI-EXP).

  6. Soydan, G. , Doğru, Y., Arslandoğan, N.U., On The Ratio Of Directed Lengths On The Plane Wıth GAM, FILOMAT, Vol. 26, No.1, January 2012, 119-130 (SCI-EXP).

  7. Soydan, G. , Doğru, Y., Arslandoğan, N.U.,The Pythagorean Theorem And Area Formula For Triangles On The Plane Wıth GAM, Creative Mathematics and Informatics Vol. 20, No.1, (2011), 81-99.

  8. Cangül, İ.N., Demirci, M., Soydan, G., Tzanakis N., On The Diophantine Equation x^2+5^a11^b=y^n, Functiones et Approximatio Commentarii Mathematici Vol. 43, No.2, (2010), 209-225.

  9. Cangül, I.N., Demirci, M., Luca, F., Pinter, A., Soydan, G. , On The Diophantine Equation x^2+2^a11^b=y^n, The Fibonacci Quarterly Vol. 48, No.1, (2010), 39-46.

  10. Soydan, G. , Demirci, M., Cangül, İ. N., The Diophantine Equation x^2+11^m=y^n, Advanced Studies in Contemporary Mathematics.,Vol.19 , No.2, (2009), 183-188.

  11.  İkikardeş, N. Y., Demirci, M., Soydan, G. , Cangül, İ. N., The Group Structure of Bachet Elliptic Curves over Finite Fields F p , Miskolc Mathematical Notes, Vol.10, No.2 (2009), 129-136. (SCI-EXP)

  12. Cangül, I.N., Soydan G. , Simsek Y., A p-adic Look at the Diophantine Equation x^2+11^2k=y^n, American Institue of Physics Conf. Proc. , September 9, 2009, Volume 1168 , pp. 275-277. ( Numerıcal Analysıs And Applıed Mathematıcs: International Conference on Numerical Analysis and Applied Mathematics 2009: Vol. 1 and Vol. 2 ; DOI:10.1063/1.3241447.) (SCI-EXP)

  13. İkikardeş, N. Y., Demirci, M., Soydan, G. , Cangül, İ. N., The Group Structure of Frey Elliptic Curves over Finite Fields F_p, JP Journal of Algebra, Number Theory and Applications, Vol.10 (2008), No.2, 255-263.

  14. Demirci, M., Soydan, G. , Cangül, İ. N ., Rational Points on Elliptic Curves y 2 = x 3 +a 3 in F p where p is prime, Rocky Mountain Journal of Mathematics, Vol.37, No.5, (2007), 1483-1491. (SCI-EXP)

  15. Soydan, G. , Demirci, M., İkikardeş, N. Y., Cangül, İ. N., Counting the Number of Pythagorean Triples in Finite Fields, Vol.2, Advances in Theoretical and Applied Mathematics, Vol.2, No.1,(2007),77-82.

  16. Demirci, M., Soydan, G. , İkikardeş, N. Y., Cangül, İ. N., Rational Points on Frey Elliptic Curves on Finite Fields, Advances in Theoretical and Applied Mathematics , Vol.2, No.2,(2007),129-136.

  17. Soydan, G. , Demirci, M., Yıldız-İkikardeş, N., Cangül, İ. N., Rational Points On Elliptic Curves y^2 = x^ 3 + a^ 3 in F_p Where p=5 (mod6) is Prime , International Journal Of Mathematics Sciences, Vol. 1, No.4 ,(2007), 247-250.

  18. Soydan, G. , İkikardeş, N. Y., Demirci, M., Cangül, İ. N., On the Additive Structure of the Set of Quadratic Residues Modulo p, Advanced Studies in Contemporary Mathematics, Vol. 14, No.2, (2007),251-257.

  19. Demirci, M., Yıldız-İkikardeş, N., Soydan, G. , Cangül, İ. N., The Number Of Rational Points On Elliptic Curves y^2 = x^ 3 + a^ 3 On Finite Fields, International Journal Of Mathematics Sciences, Vol. 1, No.4 ,(2007), 255-257.

  20. İnam, İ., Soydan, G. , Demirci, M., Bizim, O., Cangül, İ. N ., Corrigendum on “The Number of Points on Elliptic Curves E: y^2 = x^3 + cx over F_p mod 8, Communications of the Korean Mathematics Society, Vol.22, No.2 (2007),207-208.

  21. Yıldız-İkikardes, N., Soydan, G. , Demirci, M., Cangül, İ. N., Classification The Bachet Elliptic Curves y^2 = x^3 + a^3 Where p=1 (mod6) is Prime, International Journal Of Mathematics Sciences, Vol. 1, No.4 ,(2007), 239-241.

  22. Demirci, M., Soydan, G. , Cangül, İ. N., Diophantine Equations and Congruence Subgroups of the Hecke Groups H (sqrt(2)) and H (sqrt(3)), Advanced Studies in Contemporary Mathematics, Vol.12, No.2 (2006), 309-313.

  23. Cangül, İ. N., Demirci, M., Soydan, G ., Yıldız Ikikardeş, N., Rational Points on Elliptic Curves y^2 = x^3 + a^3 in F_p, Proceeding of the 16th International Conference Jangjeon Mathematics Society, Hapcheon (2005), 26-33

 

Talks Given at International Symposiums:

  1. Soydan, G. , Zhu, H., Le, M., On the solutions of some generalized Lebesgue-Nagell equations, International Congress in Honour of H.M. Srivastava, Bursa-Turkey , 23-26 Aug. 2012.

  2. Soydan, G. , Zhu, H., Le, M., On the solutions of some generalized Lebesgue-Nagell equations, 9th Polish, Slovak and Czech Conference on Number Theory, Ostravice-Czech Republic , June-12, 2012.

  3. Soydan, G. , Demirci, M., Cangül, İ. N., On the Solutions of Some Specific Exponential Diophantine Equations, ICM 2010 International Congress of Mathematicians, Hyderabad-INDIA , August 19-27 2010. (Invited Talk-Short Communication)

  4. Demirci, M., Soydan, G. , Ozgur, B., Cangül, İ. N., Congruence Subgroups of Modular Group and Hecke Groups, The 23 th International Conference of the Jangjeon Mathematical Society, Ahvaz-Iran, Feb 8-10 2010.

  5. Cangül, İ.N., Soydan, G., Demirci, M., On Some Recent Results Concerning Exponential Diophantine Equations, The 22 nd International Conference of Jangjeon Math. Soc., 13-15.08.2009, Kartnaka-INDIA

  6. Cangül, I.N., Soydan G., Simsek Y., A p-adic Look at the Diophantine Equation x^2+11^2k=y^n, 7 th International Conference on Numerical Analysis and Applied Mathematics 2009 , Rethymno, Crete-Greece , 18–22 September 2009.

  7. Cangül, İ. N., Soydan, G. , Demirci, M., On the Diophantine Equation x^2+2^a3^b11^c=y^n, Antalya Algebra Days XI, Antalya-Turkey , May 20-24 2009.

  8.  Soydan, G. , Cangül, İ. N., Demirci, M., İkikardeş, N. Y., On a Diophantine Equation, Antalya Algebra Days XI, Antalya-Turkey , May 20-24 2009.

  9. Soydan, G., Cangül, İ. N., Demirci, M., Inam, I. , Pinter, A., On Exponential Diophantine Equations, Forschung Seminar, Wintersemester 2008/2009 (27.01.2009) , Institut für Experimentelle Mathematik Universität Duisburg – Essen (Einlader : Prof. Dr. Dr. h.c. Gerhard Frey), Essen-Germany.

  10. Soydan, G. , Cangül, İ. N , Demirci, M., The Diophantine Equation x^2+11^m=y^n, The 20 th International Conference of the Jangjeon Mathematical Society, Bursa-Turkey , August 21-23 2008.

  11. Cangül, İ. N , Demirci, M., Soydan, G. , İkikardeş, N. Y.,Two Special Elliptic Curves Classes International Symposium on Complex Analysis, Sibiu-Romania , August 26-29 2007.

  12. Cangül, İ. N., Demirci, M.,Soydan, G., İkikardeş, N. Y., On the Additive Structure of the Set of Quadratic Residues Modulo p, ICM 2006 International Congress of Mathematicians, Madrid-Spain , August 22-30 2006. (Poster Session)

  13. Cangül, İ. N., Demirci, M., Soydan, G. , İkikardeş, N. Y., Rational Points on Elliptic Curves y^2 = x^3 + a^3 in F_p , 16th International Conference of the Jangjeon Mathematical Society, Antalya-Turkey , July 04-06 2005.

  14. Cangül, İ. N., Demirci, M., Soydan, G., İkikardeş, N. Y., Rational Points on Elliptic Curves y^2 = x^3 + a^3 where p is prime, Antalya Algebra Days VII, Antalya-Turkey , May 18-22 2005.

 

Talks Given at National Symposiums:

  1. Soydan, G. , Zhu, H., Le, M., Bazı Genelleştirilmiş Lebesgue-Nagell Denklemleri Üzerine, 7 nci Ankara Matematik Günleri, Bilkent Üniversitesi , 31 Mayıs-1 Haziran 2012 .

  2. İkikardeş, N. Y., Demirci, M., Soydan, G. , Cangül, İ. N., p Asal İken F_p Sonlu Cisimlerindeki y^2 = x^3 – n^2.x Frey Eliptik Eğrilerinin Sınıflandırılması ve Grup Yapıları, 22-25-08.2006, XIX. National Mathematics Symposium, Kütahya.

  3. Demirci, M., İkikardeş, N. Y., Soydan, G. , Cangül, İ. N., F_p Sonlu Cisimlerindeki p=3 (mod 4) Asal İken y^2 = x^3 – n^2.x Frey Eliptik Eğrilerinin Bazı Özellikleri ve Eğrilerin Üzerindeki Rasyonel Noktalar, 22-25-08.2006, XIX. National Mathematics Symposium, Kütahya.

  4.  İkikardeş, N. Y., Demirci, M., Soydan, G. , Cangül, İ. N., p = 5 (mod 6) asal olmak üzere F p de y^2 = x^3 + a^3  tipindeki eliptik eğriler üzerindeki rasyonel noktalar, 05-08-09.2005, XVIII. National Mathematics Symposium, İstanbul.

  5. Demirci, M., İkikardeş, N. Y., Soydan, G. , Cangül, İ. N., p = 1 (mod 6) asal olmak üzere F p de y^2 = x^3 + a^3  tipindeki eliptik eğriler üzerindeki rasyonel noktalar, 05-08-09.2005, XVIII. National Mathematics Symposium, İstanbul.

  6. Soydan, G. , Demirci, M., İkikardeş, N. Y., Cangül, İ. N., p = 1 (mod 6) asal iken F p deki y^2=x^3 + a^3 Bachet  eliptik eğrilerinin sınıflandırılması, 05-08-09.2005, XVIII. National Mathematics Symposium, İstanbul.

  7.  Cangül, İ. N., Demirci, M., Soydan, G. , İkikardeş, N. Y., Sonlu cisimler üzerindeki Bachet eliptik eğrileri üzerindeki rasyonel noktalar, 05-08-09.2005, XVIII. National Mathematics Symposium, İstanbul.