Cirriculum Vitae, Erhan Güler Address (office) e-mail Bartın University Faculty of Science Department of Mathematics 74100 Bartın, Turkey eguler@bartin.edu.tr Office telephone +90 378 223 5238 Fax +90 378 223 5230 education degree department / programme university years Ph.D. M.S. B.A. Mathematics / Geometry Mathematics / Geometry Mathematics Ankara University Gazi University Ondokuz Mayıs University Samsun, Turkey Sep. 2007-Apr. 2010 Sep. 2003-Feb. 2005 Sep. 1993-Jul. 1997 PhD thesis, and supervisors Timelike helicoidal and rotational surfaces with lightlike profile curve in three dimensional Minkowski space 1 st Supervisor : Prof. H. Hilmi Hacısalihoğlu Supervisor : Prof. Yusuf Yaylı interests Mathematics, geometry, Euclidean and non-euclidean geometries, differential geometry Curve-surface theory, minimal surface theory Computer Science, Mathematica, Maple, Matlab, Visu Math, LaTeX seminars Güler E. Helicoidal surfaces of value m. Kyushu University, Faculty of Mathematics, Fukuoka, Japan, July 11, 2014. Güler E. On Bour s minimal surface. Katholieke Leuven University, Department of Mathematics, Leuven, Belgium, February 10, 2012. 1
positions positions places year(s) Asst. Prof. Post-Doctoral Researcher Asst. Prof. Invited Researcher Asst. Prof. Dr., Math. Teacher Dr. Post-Doctoral Researcher Dr., Math. Teacher Math. Teacher Math. Teacher Kobe University Department of Mathematics, Section of Geometry Kobe, Japan Granada University Department of Geometry and Topology Granada, Spain Bartın University Faculty of Science, Department of Mathematics Bartın, Turkey Ministry of Education of Turkey (MEB) 2014 2014 2013-2012-2013 Katholieke Leuven University Department of Mathematics, Section of Geometry Leuven, Belgium Ministry of Education of Turkey (MEB) Samsun, Turkey 2011-2012 2010-2011 2002-2010 1998-2002 publications Güler E., Konnai S., Yasumoto M. Bour surface companions in space forms. Geometry, Integrability and Quantization, 17 (2016) 256-269. Xu G., Rabczuk T., Güler E., Wu X., Hui K., Wang G. Quasi-harmonic Bezier approximation of minimal surfaces for finding forms of structural membranes. Computers & Structures, 161 (2015) 55-63 (SCI Exp.). Güler E., Yaylı Y. Generalized Bour s theorem. Kuwait Journal of Science, 42-1 (2015) 79-90 (SCI Exp.). Güler E. A new kind of helicoidal surface of value m. International Electronic Journal of Geometry, 7-1 (2014) 154-162. Güler E. III Laplace-Beltrami operator and (S,L)-type rotational surface. Mathematica Aeterna, 2-10 (2012) 847-854. Güler E., Hacısalihoğlu H.H. Timelike rotational surfaces with lightlike profile curve. Communications de la Faculté des Sciences de l'université d'ankara. Séries A1: Mathematics and Statistics, 60-1 (2011) 27-47. Güler E., Yaylı Y., Hacısalihoğlu H.H. Bour s theorem on Gauss map in 3-Euclidean space. Hacettepe Journal of Mathematics and Statistics, 39-4 (2010) 515-525 (SCI Exp.). Güler E., Vanlı A. On the mean, Gaussian, second Gaussian and the second mean curvature of the helicoidal surfaces with lightlike axis in R,. Tsukuba Journal of Mathematics, 32-1 (2008) 1-17. Güler E. Bour s theorem on timelike helicoidal surfaces with (L,L) type in Minkowski 3 space. Beykent University Journal of Science and Technology, 2-1 (2008) 82-94. Güler E. Bour s theorem and lightlike profile curve. Yokohama Mathematical Journal, 54-1 (2007) 55-77. Güler E., Vanlı A. Bour's theorem in Minkowski 3-space. Kyoto Journal of Mathematics, 46-1 (2006) 47-63 (SCI Exp.). symposiums 2016 Güler E., Magid M., Yaylı Y. Rotational hypersurface in 4-space. ICAA-2016 International Conference on Analysis and Applications, Ahi Evran University, Kırşehir, Turkey. Güler E., Kişi Ö., Saraçoğlu Çelik S. Enneper-type surfaces in 4-space. ICAA-2016 International Conference on Analysis and Applications, Ahi Evran University, Kırşehir, Turkey. Güler E., Saraçoğlu Çelik S. Kişi Ö., Enneper-type surfaces in three dimensional Minkowski space International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2016), Muğla, Turkey. 2
2015 Magid M., Güler E. A two-parameter family of Bour's surfaces in four-space. International Workshop on Geometry of Riemannian and Hermitian Manifolds, Sofia, Bulgaria. Güler E., Yaylı Y. Generalized Bour theorem in Minkowski space form. International Conference on Pure and Applied Mathematics (ICPAM), Van, Turkey. Güler E., Zambak V. Algebraic surfaces of Henneberg in Minkowski 3-space. International Conference on Pure and Applied Mathematics (ICPAM), Van, Turkey. Güler E. Helicoidal surfaces of value (m,n) in 3-space. XIII Geometry Symposium, Yıldız Teknik University, İstanbul, Turkey. Güler E., Saraçoğlu Çelik S. Polynomial zero mean curvature surfaces in Minkowski 3-space. XIII Geometry Symposium, Yıldız Teknik University, İstanbul, Turkey. Güler E., Yaylı Y., Saraçoğlu Çelik S., Hacısalihoğlu H.H. Algebraic surfaces of the Laplace-Beltrami operators of the TF-type surfaces. XIII Geometry Symposium, Yıldız Teknik University, İstanbul, Turkey. Güler E. Higher order algebraic Enneper surfaces in Minkowski geometry. X Ankara Mathematics Days, Middle East Technical University,. Güler, E., Yasumoto M. Bour surface companions in space forms. XVII International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria. 2014 Güler E. Helicoidal surfaces of value m in Euclidean 3-space. Bilecik Şeyh Edebali University, XII Geometry Symposium, Bilecik, Turkey. Güler E. Null rulings in three dimensional Lorentz-Minkowski space. IX Ankara Mathematics Days, Atılım University,. Güler E. Bour's minimal surface revisited: the irreducible implicit equation of the incomplete surface. International Mathematics Symposium, KMD Karatekin Mathematics Days 2014, Çankırı, Turkey. 2013 Güler E. Bour's minimal surface in three dimensional Lorentz-Minkowski space. Sao Paulo University, GeLoSP2013, VII International Meetings on Lorentzian Geometry, Sao Paulo, Brasil. Güler E. On Bour s minimal surface. Ordu University, XI Geometry Symposium, Ordu, Turkey. Güler E. Bour's surface in the 3-dimensional Minkowski space Turkey.. Ordu University, XI Geometry Symposium, Ordu, Güler E. (T,L)-type rotational surface in three dimensional Lorentz-Minkowski space. Çankaya University, VIII Ankara Mathematics Days,. 2012 Güler E., Yaylı Y. Isometric surfaces and III Laplace-Beltrami operator in three dimensional Euclidean space. Balıkesir University, X Geometry Symposium, Balıkesir, Turkey. 2011 Güler E. Isometric surfaces with lightlike profile curve in Minkowski 3-space. Hacettepe University, VI Ankara Mathematics Days,. 2010 Güler E., Yaylı Y. Generalized Bour s theorem in 3-dimensional Euclidean space. Akdeniz University, VIII Geometry Symposium, Antalya, Turkey. Güler E. V Ankara Mathematics Days. TOBB-ETU, (participant). 2009 Güler E., Yaylı Y., Hacısalihoğlu H.H. Bour s theorem on Gauss map in 3-Euclidean space. Ahi Evran University, VII Geometry Symposium, Kırşehir, Turkey. Güler E. IV Ankara Mathematics Days. Middle East Technical University, (participant). 2008 Hacısalihoğlu H.H., Güler E. Timelike rotational surfaces with lightlike profile curve. Uludağ University, VI Geometry Symposium, Bursa, Turkey. 3
Güler E. III Ankara Mathematics Days. Ankara University, (participant). 2007 Güler E., Ikawa T. Bour s theorem with lightlike axis in R,. The National Conference of the Mathematical Society of Japan, Saitama University, Saitama, Japan. 2006 Güler E., Vanlı A. On the mean, Gaussian, the second mean and the second Gaussian curvature of the helicoidal surfaces with lightlike axis in R,. Karaelmas University, IV International Geometry Symposium, Zonguldak, Turkey. 2004 Güler E., Vanlı A. Bour's theorem in Minkowski 3-space. Sakarya University, II Geometry Symposium, Sakarya, Turkey. academic research, support and scholarships Meetings Supporter: Bartın University, 2016 2015-2016 academic year, August 25-26, 2016, presentation, Caucasian Mathematics Conference (CMC-II), Yüzüncü Yıl University, Van, Turkey. http://www.euro-math-soc.eu/cmc/ Meetings Supporter: Bartın University, 2016 2015-2016 academic year, July 12-15, 2016, presentation, International Conference on Analysis and Applications (ICAA-2016), Kırşehir, Turkey. http://icaa2016.ahievran.edu.tr/_web/default.aspx Meetings Supporter: Bartın University, 2016 2015-2016 academic year, May, 19-23, 2016, presentation, International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2016), Muğla, Turkey. http://www.icrapam.org 2015-2016 academic year, December 07-10, 2015, presentation, International Workshop on Geometry of Riemannian and Hermitian Manifolds, Sofia, Bulgaria. http://math.bas.bg/index.php/en/en-mnu-conferences-2/311-ganchev-workshop-en 2014-2015 academic year, August 25-28, 2015, presentation, International Conference on Pure and Applied Mathematics (ICPAM), Yüzüncü Yıl University, Van, Turkey http://icpam.yyu.edu.tr/ 2014-2015 academic year, July 27-30, 2015, presentation, XIIIth Geometry Symposium, Yıldız Teknik University, İstanbul, Turkey http://www.13geosem.yildiz.edu.tr/ 2014-2015 academic year, June 11-12, 2015, presentation, X Ankara Mathematics Days, Middle East Technical University, http://amg2015.math.metu.edu.tr/ 2014-2015 academic year, June 05-10, 2015, presentation. XVIIth International Conference: Geometry, Integrability and Quantization, Varna, Bulgaria http://www.bio21.bas.bg/conference/ Seminar Supporter: Fukuoka University, July 11, 2014, Kyushu University, Faculty of Mathematics, Fukuoka, Japan This seminar is supported by Basic Research (B) 25287012 (Prof. Miyuki Koiso) http://www.imi.kyushu-u.ac.jp/eng/seminars/category/5 2219-International Post Doctoral Scholarship: TUBITAK (with Prof. Wayne Rossman) Post Doctoral Researcher, 2013-2014 academic year, 2 months, July 02-August 30, 2014 Kobe University, Department of Mathematics, Section of Geometry, Kobe, Japan Invited Researcher: (with Prof. Rafael Lopez) 2013-2014 academic year, April 19-26, 2014 Granada University, Department of Geometry and Topology, Granada, Spain 4
2224-International Meetings Supporter: TUBITAK, 2013 July 22-26, 2013, presentation. GeLoSP2013, VII International Meetings on Lorentzian Geometry, Sao Paulo University, Sao Paulo, Brasil http://www.ime.usp.br/~gelosp2013/index.php?id=92 2219-International Post Doctoral Scholarship: TUBITAK, 2011 (with Prof. Franki Dillen) Post Doctoral Researcher, 2011-2012 academic year, 9 months, October 17, 2011-July 09, 2012 Katholieke Leuven University, Department of Mathematics, Section of Geometry, Leuven, Belgium https://wis.kuleuven.be/meetkunde/members TUBITAK: The Scientific and Technological Research Council of Turkey supervised thesis Zambak V. Henneberg minimal surface in three dimensional Minkowski space. Master of Science. August 2015. Turkish Mathematical Society (TMD), 2015 - memberships reviewer Mathematical Reviews - American Mathematical Society / MathSciNet Reviewer, 2014 - reviews MR3324180 Di Scala, Antonio J.; Mendonça, Sérgio; Mirandola, Heudson; Ruiz-Hernández, Gabriel Isometry actions and geodesics orthogonal to submanifolds. Bull. Braz. Math. Soc. (N.S.) 46 (2015), no. 1, 105-138. (Reviewer: Erhan Güler) 53C22 (53C42) MR3457792 Fu, Yu; Yang, Dan On Lorentz GCR surfaces in Minkowski 3-space. Bull. Korean Math. Soc. 53 (2016), no. 1, 227-245. (Reviewer: Erhan Güler) 53C40 (53B30 53C42) MR3437420 Gábos, Zoltán; Mester, Ágnes Lines in the three-dimensional Bolyai-Lobachevskian hyperbolic geometry. Stud. Univ. Babeş-Bolyai Math. 60 (2015), no. 4, 583-595. (Reviewer: Erhan Güler) 53C22 (53A35) MR3426256 Bérard, Pierre; Cavalcante, Marcos P. Stability properties of rotational catenoids in the Heisenberg groups. Mat. Contemp. 43 (2014), 37-60. (Reviewer: Erhan Güler) 53C42 MR3418459 Balestro, Vitor Curvature motion in time-dependent Minkowski planes. Int. Electron. J. Geom. 8 (2015), no. 2, 70-81. (Reviewer: Erhan Güler) 53C44 MR3411390 Senoussi, Bendehiba; Bekkar, Mohammed Helicoidal surfaces with J r=ar in 3-dimensional Euclidean space. Stud. Univ. Babeş-Bolyai Math. 60 (2015), no. 3, 437-448. (Reviewer: Erhan Güler) 53A05 MR3327058 Belgun, Florin Geodesics and submanifold structures in conformal geometry. J. Geom. Phys. 91 (2015), 172-191. (Reviewer: Erhan Güler) 53A30 (53C22) MR3406027 Kim, Dong-Soo Ruled surfaces and Gauss map. Bull. Korean Math. Soc. 52 (2015), no. 5, 1661-1668. (Reviewer: Erhan Güler) 53A05 (53B25) MR3395803 Turhan, Tunahan; Yüksel, Nural; Ayyildiz, Nihat On pseudohyperbolic space motions. Turkish J. Math. 39 (2015), no. 5, 750-762. (Reviewer: Erhan Güler) 53A04 (53A25 53B30) MR3374042 Ozturk, Ufuk; Cengiz, Suleyman; Koc Ozturk, Esra Betul Motions of curves in the Galilean space G3. Acta Math. Sci. Ser. B Engl. Ed. 35 (2015), no. 5, 1046-1054. (Reviewer: Erhan Güler) 53A04 (53C44) MR3344725 Masal, Melek; Azak, A. Zeynep Frenet apparatus of the curves and some special curves in the Euclidean 5- space E 5. Eur. J. Pure Appl. Math. 8 (2015), no. 2, 255-270 (Reviewer: Erhan Güler) 53A04 MR3305052 Aydin, Gülşah; Gürbüz, Nevin; Görgülü, Ali; Çöken, A. Ceylan Relaxed elastic lines of second kind in dual space. Int. J. Geom. Methods Mod. Phys. 12 (2015), no. 2, 1550016, 1-12 (Reviewer: Erhan Güler) 53A40 (53A25) MR3299018 Nicolai, Mihaela Roxana; Tiba, Dan Implicit functions and parametrizations in dimension three: generalized solutions. Discrete Contin. Dyn. Syst. 35 (2015), no. 6, 2701-2710. (Reviewer: Erhan Güler) 26B10 (53A05) MR3248642 Abdel-Aziz, H. S.; Khalifa Saad, M.; Abdel-Salam, A. A. On implicit surfaces and their intersection curve in Euclidean 4-space. Houston J. Math. 40 (2014), no. 2, 339-352. (Reviewer: Erhan Güler) 53A04 (53A05) MR3215394 Mihai, Adela; Heroiu, Bogdan Flat tensor product surfaces of pseudo-euclidean curves. Ann. Polon. Math. 111 (2014), no. 2, 137-143. (Reviewer: Erhan Güler) 53C42 (53A04) MR3214310 Pyo, Juncheol; Rodríguez, Magdalena Simply connected minimal surfaces with finite total curvature in H 2 R. Int. Math. Res. Not. IMRN (2014), no. 11, 2944-2954. (Reviewer: Erhan Güler) 53A10 (53C42) 5
others 2016 BAP Project Degree, class and Weierstrass representations of the surfaces in the four dimensional Euclidean space, Bartın University, Bartın, Turkey. 2016 Academic Support Encouraging academic support. Bartın University, Bartın, Turkey. 2014 Academic Course TUBITAK. Preparation of the English Academic Publication, 2008-2010 Project Secondary Education, class 9-10-11-12., commission member of the Geometry cirriculum M.E.B. Talim ve Terbiye Kurulu Başkanlığı, Program Araştırma ve Geliştirme Daire Başkanlığı, 2007-2008 Project Secondary Education, commission member of the Mathematics course books reviews M.E.B. Talim ve Terbiye Kurulu Başkanlığı, Eğitim-Öğretim Materyallerini İnceleme ve Geliştirme Başkanlığı, 1999-2000 Army Saimbeyli Askerlik Şubesi Başkanı, Saimbeyli, Adana, Turkey, 12 months 1999 Army Personel Okulu ve Eğitim Tümen Komutanlığı, Dutlukır, Konya, Turkey, 4 months courses Faculty of Science Department of Mathematics undergraduate Mathematical Programming Language of Programming Final Thesis in Mathematics Fundamental Information Tech. Abstract Mathematics Analysis Faculty of Engineering Calculus Civil Eng. Calculus Met. & Met. Eng. Calculus Env. Eng. & Textile Eng. Differential Equations Met. & Met. Eng graduate Surface design in differential geometry Curve design in differential geometry 6
beauty of simplicity Spacelike maximal B2 surface Timelike minimal B2 surface Spacelike maximal B3 surface Timelike minimal B3 surface E. Güler 2012 Euclidean catenoid, Alysseide Euclidean helicoid, Heliçoide Lorentzian catenoid Lorentzian helicoid E. Bour 1862 E. Güler 2015 7