Address Department of Mathematics, Gebze Technical University Istanbul, 41400, Turkey email: fkaraoglu@gtu.edu.tr Phone:

Education

Research Interests

Employment

Visiting Positions

Grants

Publications

Papers etc.

1. A. Betten, J.W.P. Hirschfeld, F. Karaoglu, Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen. Eur. J. Math. (2018), 4 no. 1, 37–-50.
2. A. Betten, F. Karaoglu, Cubic Surfaces Over Small Finite Fields. Des. Codes Cryptogr. (2019) 87: 931-953.
3. F. Karaoglu, A. Betten, The Number of Cubic Surfaces with 27 Lines Over a Finite Field. J. Algebraic. Combin. (2021) doi: 10.1007/s10801-020-01009-3.
4. F. Karaoglu, Non-Singular Cubic surfaces over GF(2^k). Turkish Journal of Mathematics, 45: 2492-2510 (2021)
5. A. Betten, , F. Karaoglu, Cubic Surfaces with 13 Eckardt points. (Submitted)
6. A. Betten, F. Karaoglu, The Eckardt Point Configuration of Cubic Surfaces Revisited . Designs, Codes and Cryptography (2022), doi: 10.1007/s10623-021-00999-w
7. F. Karaoglu, The Smooth Cubic Surfaces with 15 Lines. (Submitted)
8. A. Betten, F. Karaoglu, An Atlas of Cubic Surfaces. (In Progress)
9. A. Betten, F. Karaoglu, Isomorphism testhing for Algebraic Varieties using canonical forms. (CASC 2021, extended abstract)

Talks and Presentations

1. December 2021 "The smooth cubic surfaces with 15 lines" Symbolic Computation Istanbul Meeting, IMBM, Boğaziçi University, Turkey.
2. November 2021 "27' den az doğruya sahip pürüzsüz kübik yüzeyler" Matematik Bölüm Semineri, Balıkesir Üniversitesi, Türkiye.
3. March 2021 "Smooth Cubic Surfaces with at least 9 Lines" Number Theory Seminars at the Department of Mathematics, University of California Ivrine, United States.
4. December 2020 "Some Cubic Surfaces over the Field of Characteristic Two " Seminar talk at Department of Mathematics, Colorado State University, Fort Collins,United States.
5. November 2017 "On Cubic Surfaces" Postgraduate Seminars at the Department of Mathematics, Sabanci University, Turkey.
6. November 2017 "On Classification Problems in Finite Geometry" Postgraduate Seminars at the Department of Mathematics, Sabanci University, Turkey.
7. April 2017 "Cubic surfaces over Finite Fields" Mathematics Postgraduate Seminars, University of Sussex, United Kingdom.
8. February 2017 "Cubic Surfaces over \mathbbF₁₃" Rocky Mountain Algebraic Combinatorics Seminars, Colorado State University, Fort Collins,United States.

1. September 2021 "Isomorphism testing of algebraic varieties using canonical forms," Computer Algebra in Scientific Computing (CASC 2021), Sochi, Russia.
2. July 2021 "Cubic Surfaces with 27 Lines and 13 Eckardt Points," 26th International Conference on Applications of Computer Algebra (ACA 2021), Virtual, Online.
3. May 2021 "On the number of lines of a cubic surface" Combinatorial and Additive Number Theory (CANT 2021), New York, NY, United States.
4. March 2021 "Non-Singular Cubic Surfaces over \mathbbF_2^k" 52th Southeastern International Conference on Combinatorics, Graph Theory & Computing, Boca Raton, FL, United States.
5. July 2019 "The number of Cubic Surfaces with twenty-Seven Lines over a Finite Field" 27th Biritish Combinatorial Conference, Birmingham, United Kingdom.
6. June 2019 "Cubic surfaces and Associated Arcs" 17th Geometry Symposium, Erzincan, Turkey.
7. May 2019 "Two New Families of Cubic Surfaces in Characteristic Two" Antalya Cebir Günleri XXI, Izmir, Turkey.
8. May 2018 "Cubic surfaces over Finite Fields" Antalya Cebir Günleri XX, Izmir, Turkey.
9. March 2017 "Cubic Surfaces over \mathbbF₁₃" 48th Southeastern International Conference on Combinatorics, Graph Theory & Computing, Boca Raton, FL, United States.
10. June 2016 "The classification of Cubic Surfaces with twenty-seven lines over the field of thirteen elements" 3rd Istanbul Design Theory, Graph Theory and Combinatorics Workshop, Istanbul, Turkey.
11. June 2016 " Classification of cubic surfaces with twenty-seven lines over the field of thirteen elements" Combinatorics 2016, Maratea, Italy.

1. July 2020 "Classifying Cubic Surfaces over Finite Fields with Orbiter" International Congress on Mathematical Software, Braunschweig, Germany.

1. January 2011 "Hilbert Functions of One-Dimensional Cohen-Macaulay Local Ring" Izmir Algebraic Geometric Topology Days II, 9-14 January 2011, Izmir, Turkey.

1. June 2017 Summer School on Finite Geometry, University of Sussex, Brighton, United Kingdom.
2. October 2016 Second CoDiMa Training School in Computational Discrete Mathematics, Edinburgh, United Kingdom.
3. November 2015 First CoDiMa Training School in Computational Discrete Mathematics, Manchester, United Kingdom.
4. September 2015 Breaking Boundries between Analysis, Geometry and Topology II, University of Sussex, Brighton, United Kingdom.
5. April 2015 Breaking Boundries between Analysis, Geometry and Topology I, University of Sussex, Brighton, United Kingdom.
6. September 2010 Commutative Algebra and its Applications to Combinatorics and Algebraic Geometry, Istanbul, Turkey.

1. September 2017 Finite Geometries Fifth Irsee Conference, Irsee, Germany.
2. September 2015 Giornate di Geometria, Caserta, Italy.
3. June 2011 Karatekin Mathematics Days: Combinatorics, Algebra, Geometry and Interactions, Cankiri, Turkey.

Teaching

1. Analytic Geometry II, Spring 2020
2. Analytic Geometry I, Autumn 2019
3. Linear Algebra, Autumn 2019
4. Calculus I, Summer 2019
5. Calculus II, Summer 2019 & Spring 2020

1. Coding Theory, Spring 2017
2. Algebra, Autumn 2017 & 2015
3. Numerical Analysis II, Spring 2016
4. Numerical Analysis I, Spring 2016

1. Foundation Mathematics II, Spring 2012 & 2011
2. Foundation Mathematics I, Autumn 2012 & 2011

Conferences Organized

Undergraduate Students Advised

Service