Nihal BİRCAN


"If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.." Galileo Galilei

E-mail: bircan.math@gmail.com Address: Cankiri Karatekin University, Faculty of Science, Department of Mathematics, Uluyazi Campus Office No:230, 18100 Cankiri/Turkey
Phone: +90 376 2189537-8086 (office) Website: http://www.nihalbircan.com http://www.karatekin.edu.tr

CV

 

Education:

1997-2001 BSc. in Mathematics, Department of Mathematics, Faculty of Education Selçuk University, Konya, Turkey.

2001-2003 MSc. in Mathematics, Department of Mathematics, Faculty of Education Selçuk University, Konya, Turkey.

ThesisTopic: PythagoraenTriples and Triangular Numbers
Advisor: Prof. Dr. Hasan Senay

2004-2008 Ph.D. in Mathematics, Department of Mathematics, Faculty of Science Selçuk University, Konya, Turkey

ThesisTopic: Primes Represented by Definite and Indefinite Binary Quadratic Forms
Advisor: Prof. Dr. Hasan Senay

2007-2013 Ph.D. in Mathematics, Institute of Mathematics, Berlin University of Technology, Berlin, Germany

ThesisTopic: On Sequences of Integers of Quadratic Fields and Computations                                                               Advisor: Prof. Dr. Dr. h. c. Michael E. Pohst

  •  Academical Activities, Memberships:

 

  • MPIM, Postdoctoral Fellow, February 25- March 2,  2018

  •WIN-E2, Women in Numbers Europe, Lorentz Center, 25-30 September 2016 , Leiden, Netherlands (invited speaker)

  •3rd Workshop of Association for Turkish Women in Maths, 27-29 May 2016, İzmir, Turkey

  •4th Cemal Koç Algebra Days, METU, 22-23 April 2016, Ankara, Turkey

  • Tenth Algorithmic Number Theory Symposium ANTS-X, University of California, San Diego, July 9-13, 2012 , USA (poster presentation)
  • Second RISC/SCIence Training School in Symbolic Computation, Linz, Austria, 2007
  • Departmental Seminar at TU Berlin, Institute of Mathematics, Berlin, Germany (Representation of Primes with Specific Discriminants), 2005
  • XVIII. National Mathematics Symposium, Istanbul Kültür University, Istanbul,Turkey, 05-08 July 2005
(presentation)
  • Departmental Seminar at Bosphorus University, Mathematics Department, Istanbul,Turkey (On Binary
Quadratic forms and Genus Theory), 2005

  • VII. Antalya Algebra Days , 18-22 May 2005, Antalya, Turkey 
  • V. METU National Science and Mathematics Education Congress, 16-18 September 2002, Ankara,
Turkey 

  • XV.National Mathematics Symposium, Mersin University, 4-7 September 2002, Mersin, Turkey 
  • Member of American Mathematical Society (AMS)

  • Member of Turkish Mathematical Society (TMD)

  • Member of European Mathematical Society (EMS)

  • Member of Women in Number Theory  (WIN

  • Member of Association for Turkish Women in Mathematics (TKMD)


Work Experience:

2001-2010 Research Assistant, Department of Mathematics, Faculty of Education
Selçuk University, Konya, Turkey.


2010- present        Assistant Professor, Department of Mathematics, Faculty of Science
Çankırı Karatekin University, Çankırı, Turkey

Courses Thought:


• Linear Algebra I for Engineers (Tutor, using multimedia teaching platform MUMIE in German at TU Berlin )

At Çankırı Karatekin University, Department of Mathematics;

• Abstract Algebra I and II
• Number Theory
• Algebra I and II
• Linear Algebra I and II
• Calculus I


Computer Skills:


• Programming languages: Kash3, Maple, experienced with Magma
• Operating Systems: Linux, Unix, MS-Windows (all versions), MacOS
• Efficient in LaTeX


Other Information:


• Non Smoker
• Has experience and ability to work in groups

 

Publications

My main interests are Algebra and Number Theory including Computational Algebraic Number Theory. More specifically, my studies are related to units of quadratic fields.

Publications (selected):
• “A conjecture on Units of Quadratic Fields”, Experimental Mathematics, vol. 23 p. 95 􀀀-98, 2014
• “On Chebyshev Polynomials and GL(2; Z/pZ)”, (with C. Pommerenke), Bull. Math. Soc. Sci. Roumanie,
vol 55, (103) no. 4, p. 353 -364, 2012
• “On the Powers of Integers and Conductors of Quadratic Fields ”(with M. E. Pohst), Publ. Math. Debrecen, vol. 83/1 -2, p. 227 -239, 2013 
• “Representation of Prime Powers by Binary Quadratic Forms”, Pure Mathematical Sciences, vol. 1, no.1􀀀, p. 95 􀀀-106, 2012
• “Generating Functions of adapted Chebyshev Polynomials modulo p”, (in preparation)

Projects&Awards&Scholarships

 

• Support by Research Project from TUBITAK (Türkish Scientific and Technical Research Council), 2005
Project Number:105T070TBAG-HD/47
• Research grant by TUBITAK EU 6th Framework Programme for a research stay at Department of Mathematics, Faculty of Science, Bosphorus University, Istanbul, Turkey,  2005
• Scholarship from TU Berlin FrauenBaeuftragte promotionabschlussstipendium ”to complete Ph.D. at
the last six months of Ph.D. study
• Scholarship to attend Second RISC/SCIence Training School in Symbolic Computation, Linz, Austria,
2007
• Support from DAAD for foreign doctoral students in consideration of recitation sessions for one semester at Institute of Mathematics, TU Berlin, 2009
• Support from ANTS-X organizing comittee for attending ANTS-X Symposium in San Diego,  July 9-13
USA, 2012

Math

Courses

SS 2017-2018

  • Abstract Mathematics II
  • Number Theory
  • Algebra II

WS 2017-2018

  • Algebra I 
  • Abstract Mathematics I

SS 2016-2017 (in English)

  • Abstract Mathematics II 

Suggested books:

  • An Introduction to Mathematical  Structures (Steven Galovich)
  • An Introduction to Number Sysytems and Algebraic structures ( Şafak Alpay & H.İbrahim Karakaş)

 

  • Linear Algebra II

Suggested books:

  • Linear Algebra and Its Applications (Gilbert  Strang)
  • Schaum's Linear Algebra 

 

  • Algebra II

Suggested books:

  • A First Course in Abstract Algebra (J. B. Fraleigh)
  • Abstract Algebra (undergraduate)  T. W. Hungerford

 

SS 2015-2016 , WS 2016-2017

  • Number Theory ( in Turkish)

Kaynaklar ve faydalı linkler :

  • Matematik Dünyası Arşiv
  • An Introduction To The Theory of Numbers, G. H. Hardy and E. M. Wright
  • The Theory of Numbers,  Andrew Adler, John E. Coury

 SS 2015-2016

  • Abstract Mathematics II (in Turkish)

Kaynaklar ve faydalı linkler: 

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Fusce commodo odio orci, ut lobortis dolor tempus ut. Nunc dolor mi, maximus eu mauris id, tempor egestas nunc. Morbi a vulputate augue. Suspendisse scelerisque lacus ligula, quis sagittis purus tempor sit amet. Curabitur quis felis id justo ultrices rutrum. Quisque vitae pellentesque nunc. Vestibulum feugiat metus tortor, volutpat volutpat ipsum efficitur a. Vestibulum risus eros, lacinia ut lacus id, malesuada aliquam metus. Sed malesuada tristique fringilla. Etiam cursus ipsum nec pellentesque tempus. Quisque pulvinar imperdiet dui non laoreet.

Nulla rutrum condimentum mauris, at lacinia ipsum maximus a. Pellentesque id dui ut eros feugiat malesuada eget id magna. Aenean pharetra erat vel orci volutpat, ac placerat nisl posuere. Mauris non bibendum mi. Quisque id odio nulla. Suspendisse mollis, dolor nec iaculis ullamcorper, mi urna hendrerit metus, in lobortis enim est non velit. Aliquam erat volutpat.

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Nam tristique ex mauris, ut ultricies arcu maximus et. Curabitur nec nunc sit amet magna sollicitudin blandit ac sit amet orci. Morbi porttitor, augue vel ornare euismod, elit nulla porta nisi, in facilisis orci tortor at ex. Mauris sit amet tincidunt sapien. Sed finibus tempor ultricies. Mauris tincidunt, mi sed suscipit dapibus, neque lacus hendrerit dolor, a molestie augue lorem sit amet dui. Vivamus dignissim ante ut lorem sollicitudin, vel scelerisque enim ultrices. Integer id sagittis diam. Proin lacinia ante tellus, vitae commodo mi tempus in. In laoreet ullamcorper varius. Nam vitae tortor finibus, venenatis urna vitae, placerat mauris. Vestibulum consectetur, tortor vitae elementum ullamcorper, ante magna consectetur elit, ut molestie nisl nulla vitae eros. Aliquam non neque pulvinar arcu cursus hendrerit.

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Lorem ipsum dolor sit amet, consectetur adipiscing elit. Integer eros diam, sollicitudin id semper sed, fermentum vitae arcu. Mauris vitae nibh molestie, malesuada nulla id, consectetur metus. Praesent imperdiet fermentum enim, id tempus diam auctor sed. Nunc quis viverra enim. In venenatis mollis augue, ac fringilla magna viverra a. Donec aliquet lacus id eros ultrices posuere. Sed sodales sem eu turpis venenatis posuere. Quisque porttitor ultrices ipsum, a lobortis risus condimentum sed. Mauris sodales ante sed sapien ultricies ullamcorper. Nam sit amet lobortis orci, at tincidunt nunc.

Fusce commodo odio orci, ut lobortis dolor tempus ut. Nunc dolor mi, maximus eu mauris id, tempor egestas nunc. Morbi a vulputate augue. Suspendisse scelerisque lacus ligula, quis sagittis purus tempor sit amet. Curabitur quis felis id justo ultrices rutrum. Quisque vitae pellentesque nunc. Vestibulum feugiat metus tortor, volutpat volutpat ipsum efficitur a. Vestibulum risus eros, lacinia ut lacus id, malesuada aliquam metus. Sed malesuada tristique fringilla. Etiam cursus ipsum nec pellentesque tempus. Quisque pulvinar imperdiet dui non laoreet.

Nulla rutrum condimentum mauris, at lacinia ipsum maximus a. Pellentesque id dui ut eros feugiat malesuada eget id magna. Aenean pharetra erat vel orci volutpat, ac placerat nisl posuere. Mauris non bibendum mi. Quisque id odio nulla. Suspendisse mollis, dolor nec iaculis ullamcorper, mi urna hendrerit metus, in lobortis enim est non velit. Aliquam erat volutpat.

Phasellus malesuada ex sed neque gravida egestas. Cras non elit non risus tincidunt venenatis eleifend quis est. Suspendisse potenti. Proin consequat ante a turpis varius, ut lacinia justo vehicula. In hac habitasse platea dictumst. Fusce maximus, massa vel porta pulvinar, sapien risus venenatis quam, eget rutrum ipsum lectus in leo. Curabitur eu pharetra odio.

Nam tristique ex mauris, ut ultricies arcu maximus et. Curabitur nec nunc sit amet magna sollicitudin blandit ac sit amet orci. Morbi porttitor, augue vel ornare euismod, elit nulla porta nisi, in facilisis orci tortor at ex. Mauris sit amet tincidunt sapien. Sed finibus tempor ultricies. Mauris tincidunt, mi sed suscipit dapibus, neque lacus hendrerit dolor, a molestie augue lorem sit amet dui. Vivamus dignissim ante ut lorem sollicitudin, vel scelerisque enim ultrices. Integer id sagittis diam. Proin lacinia ante tellus, vitae commodo mi tempus in. In laoreet ullamcorper varius. Nam vitae tortor finibus, venenatis urna vitae, placerat mauris. Vestibulum consectetur, tortor vitae elementum ullamcorper, ante magna consectetur elit, ut molestie nisl nulla vitae eros. Aliquam non neque pulvinar arcu cursus hendrerit.

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Lorem ipsum dolor sit amet, consectetur adipiscing elit. Integer eros diam, sollicitudin id semper sed, fermentum vitae arcu. Mauris vitae nibh molestie, malesuada nulla id, consectetur metus. Praesent imperdiet fermentum enim, id tempus diam auctor sed. Nunc quis viverra enim. In venenatis mollis augue, ac fringilla magna viverra a. Donec aliquet lacus id eros ultrices posuere. Sed sodales sem eu turpis venenatis posuere. Quisque porttitor ultrices ipsum, a lobortis risus condimentum sed. Mauris sodales ante sed sapien ultricies ullamcorper. Nam sit amet lobortis orci, at tincidunt nunc.

Fusce commodo odio orci, ut lobortis dolor tempus ut. Nunc dolor mi, maximus eu mauris id, tempor egestas nunc. Morbi a vulputate augue. Suspendisse scelerisque lacus ligula, quis sagittis purus tempor sit amet. Curabitur quis felis id justo ultrices rutrum. Quisque vitae pellentesque nunc. Vestibulum feugiat metus tortor, volutpat volutpat ipsum efficitur a. Vestibulum risus eros, lacinia ut lacus id, malesuada aliquam metus. Sed malesuada tristique fringilla. Etiam cursus ipsum nec pellentesque tempus. Quisque pulvinar imperdiet dui non laoreet.

Nulla rutrum condimentum mauris, at lacinia ipsum maximus a. Pellentesque id dui ut eros feugiat malesuada eget id magna. Aenean pharetra erat vel orci volutpat, ac placerat nisl posuere. Mauris non bibendum mi. Quisque id odio nulla. Suspendisse mollis, dolor nec iaculis ullamcorper, mi urna hendrerit metus, in lobortis enim est non velit. Aliquam erat volutpat.

Phasellus malesuada ex sed neque gravida egestas. Cras non elit non risus tincidunt venenatis eleifend quis est. Suspendisse potenti. Proin consequat ante a turpis varius, ut lacinia justo vehicula. In hac habitasse platea dictumst. Fusce maximus, massa vel porta pulvinar, sapien risus venenatis quam, eget rutrum ipsum lectus in leo. Curabitur eu pharetra odio.

Nam tristique ex mauris, ut ultricies arcu maximus et. Curabitur nec nunc sit amet magna sollicitudin blandit ac sit amet orci. Morbi porttitor, augue vel ornare euismod, elit nulla porta nisi, in facilisis orci tortor at ex. Mauris sit amet tincidunt sapien. Sed finibus tempor ultricies. Mauris tincidunt, mi sed suscipit dapibus, neque lacus hendrerit dolor, a molestie augue lorem sit amet dui. Vivamus dignissim ante ut lorem sollicitudin, vel scelerisque enim ultrices. Integer id sagittis diam. Proin lacinia ante tellus, vitae commodo mi tempus in. In laoreet ullamcorper varius. Nam vitae tortor finibus, venenatis urna vitae, placerat mauris. Vestibulum consectetur, tortor vitae elementum ullamcorper, ante magna consectetur elit, ut molestie nisl nulla vitae eros. Aliquam non neque pulvinar arcu cursus hendrerit.

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Contact

E-mail: bircan.math@gmail.com Address: Cankiri Karatekin University, Faculty of Science, Department of Mathematics, Uluyazi Campus Office No:230, 18100 Cankiri/Turkey
Phone: +90 376 2189537-8086 (office) Website: http://www.nihalbircan.com http://www.karatekin.edu.tr