Department of Mathematics, Gebze Technical University
Istanbul, 41400, Turkey
email: fkaraoglu@gtu.edu.tr
Phone:
Education
2020: PostDoc., Colorado State University, United States.
2018: Ph.D., University of Sussex, United Kingdom.
2014: M.Sc., University of Sussex, United Kingdom.
2012: M.Sc., Balikesir University, Turkey.
Research Interests
Finite Geometry, Algebraic Geometry, Algebraic Combinatorics, Group Actions.
Employment
since 2022: Assistant Professor at Gebze Technical University, Turkey
2019 - 2022: Lecturer Dr. at Tekirdag Namik Kemal University, Turkey
2015 - 2019: Research fellow and Assistant, University of Sussex, United Kingdom
2010-2012: Lecturer at Vocational School, Technical Programme, Balikesir University, Turkey
Visiting Positions
2020: Research fellow at Colorado State University, United States (1 year)
2017: Research fellow at Colorado State University, United States (1 semester)
Grants
TUBITAK grant: "2219-International Postdoctoral Research Fellowship Program for Turkish Citizens" (award number 1059B192000479)
September 28, 2020 - September 26, 2021. $30,000.00
TUBITAK grant: "2221 - Fellowships for Visiting Scientists and Scientists on Sabbatical Leave" (award number: 1059B211900731)
2019-5
TUBITAK grant: "2221 - Fellowships for Visiting Scientists and Scientists on Sabbatical Leave" (award number: 1059B211900062)
2019-1
MEB grant: "YLSY 2011/2 Study Abroad in Graduate Program" (award number: 3HXR9259)
2012 - 2018. ≈ £200,000.00
Publications
Papers etc.
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.
A. Betten, F. Karaoglu,
Cubic Surfaces Over Small Finite Fields.
Des. Codes Cryptogr. (2019) 87: 931-953.
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.
F. Karaoglu,
Non-Singular Cubic surfaces over GF(2^{k}).
Turkish Journal of Mathematics, 45: 2492-2510 (2021)
A. Betten, , F. Karaoglu,
Cubic Surfaces with 13 Eckardt points.
(Submitted)
A. Betten, F. Karaoglu,
The Eckardt Point Configuration of Cubic Surfaces Revisited .
Designs, Codes and Cryptography (2022), doi: 10.1007/s10623-021-00999-w
F. Karaoglu,
The Smooth Cubic Surfaces with 15 Lines.
(Submitted)
A. Betten, F. Karaoglu,
An Atlas of Cubic Surfaces.
(In Progress)
A. Betten, F. Karaoglu,
Isomorphism testhing for Algebraic Varieties using canonical forms.
(CASC 2021, extended abstract)
Talks and Presentations
Seminar Talks:
December 2021
"The smooth cubic surfaces with 15 lines"
Symbolic Computation Istanbul Meeting,
IMBM, Boğaziçi University, Turkey.
November 2021
"27' den az doğruya sahip pürüzsüz kübik yüzeyler"
Matematik Bölüm Semineri,
Balıkesir Üniversitesi, Türkiye.
March 2021
"Smooth Cubic Surfaces with at least 9 Lines"
Number Theory Seminars at the Department of Mathematics,
University of California Ivrine, United States.
December 2020
"Some Cubic Surfaces over the Field of Characteristic Two "
Seminar talk at Department of Mathematics,
Colorado State University, Fort Collins,United States.
November 2017
"On Cubic Surfaces"
Postgraduate Seminars at the Department of Mathematics,
Sabanci University, Turkey.
November 2017
"On Classification Problems in Finite Geometry"
Postgraduate Seminars at the Department of Mathematics,
Sabanci University, Turkey.
April 2017
"Cubic surfaces over Finite Fields"
Mathematics Postgraduate Seminars,
University of Sussex, United Kingdom.
February 2017
"Cubic Surfaces over \mathbbF_{13}"
Rocky Mountain Algebraic Combinatorics Seminars,
Colorado State University, Fort Collins,United States.
Conference presentations:
September 2021
"Isomorphism testing of algebraic varieties using canonical forms,"
Computer Algebra in Scientific Computing (CASC 2021), Sochi, Russia.
July 2021
"Cubic Surfaces with 27 Lines and 13 Eckardt Points,"
26th International Conference on Applications of Computer Algebra (ACA 2021), Virtual, Online.
May 2021
"On the number of lines of a cubic surface"
Combinatorial and Additive Number Theory (CANT 2021), New York, NY, United States.
March 2021
"Non-Singular Cubic Surfaces over \mathbbF_{2k}"
52th Southeastern International Conference on Combinatorics,
Graph Theory & Computing, Boca Raton, FL, United States.
July 2019
"The number of Cubic Surfaces with twenty-Seven Lines over a Finite Field"
27th Biritish Combinatorial Conference, Birmingham, United Kingdom.
June 2019
"Cubic surfaces and Associated Arcs"
17th Geometry Symposium, Erzincan, Turkey.
May 2019
"Two New Families of Cubic Surfaces in Characteristic Two"
Antalya Cebir Günleri XXI, Izmir, Turkey.
May 2018
"Cubic surfaces over Finite Fields"
Antalya Cebir Günleri XX, Izmir, Turkey.
March 2017
"Cubic Surfaces over \mathbbF_{13}"
48th Southeastern International Conference on Combinatorics,
Graph Theory & Computing, Boca Raton, FL, United States.
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.
June 2016
" Classification of cubic surfaces with twenty-seven lines over the field of thirteen elements"
Combinatorics 2016, Maratea, Italy.
Software demo:
July 2020
"Classifying Cubic Surfaces over Finite Fields with Orbiter"
International Congress on Mathematical Software, Braunschweig, Germany.
Poster Presentation:
January 2011
"Hilbert Functions of One-Dimensional Cohen-Macaulay Local Ring"
Izmir Algebraic Geometric Topology Days II, 9-14 January 2011, Izmir, Turkey.
Workshops attended:
June 2017
Summer School on Finite Geometry,
University of Sussex, Brighton, United Kingdom.
October 2016
Second CoDiMa Training School in Computational Discrete Mathematics,
Edinburgh, United Kingdom.
November 2015
First CoDiMa Training School in Computational Discrete Mathematics,
Manchester, United Kingdom.
September 2015
Breaking Boundries between Analysis, Geometry and Topology II,
University of Sussex, Brighton, United Kingdom.
April 2015
Breaking Boundries between Analysis, Geometry and Topology I,
University of Sussex, Brighton, United Kingdom.
September 2010
Commutative Algebra and its Applications to Combinatorics and Algebraic Geometry,
Istanbul, Turkey.
Attended:
September 2017
Finite Geometries Fifth Irsee Conference, Irsee, Germany.
September 2015
Giornate di Geometria, Caserta, Italy.
June 2011
Karatekin Mathematics Days: Combinatorics, Algebra, Geometry and Interactions,
Cankiri, Turkey.
Teaching
Courses at Tekirdag Namik Kemal University:
Analytic Geometry II, Spring 2020
Analytic Geometry I, Autumn 2019
Linear Algebra, Autumn 2019
Calculus I, Summer 2019
Calculus II, Summer 2019 & Spring 2020
Workshops at University of Sussex:
Coding Theory, Spring 2017
Algebra, Autumn 2017 & 2015
Numerical Analysis II, Spring 2016
Numerical Analysis I, Spring 2016
Courses at Balikesir University:
Foundation Mathematics II, Spring 2012 & 2011
Foundation Mathematics I, Autumn 2012 & 2011
Conferences Organized
June 2017: (with James P. W. Hirschfeld) Summer School on Finite Geometry, University of Sussex, Brighton, United Kingdom. - 30 participants over 5 days -
July 2021: (with Anton Betten) A session on Computer Algebra for Geometry and Combinatorics at 26th International Conference on Applications of Computer Algebra (ACA 2021).
Undergraduate Students Advised
Nurel Yildirim & Buse Burcak Avsar, Spring 2020
Service
Director of the Erasmus programme scholarship at Department of Mathematics, Tekirdag Namik Kemal University (2019-2020).
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