Publications
Publications
A Simple Modules of Leavitt Path Algebras when the Coefficients Are in a Commutative Ring, A. Koç, M. Özaydın
Journal of Algebra and Its Applications, to appear. https://doi.org/10.1142/S0219498825420162
Leavitt Path Algebras with Coefficients in a Commutative Unital Ring, A. Koç, M. Özaydın
Arxiv (2023). (DOI)
Talks / Mini Courses / Lecture Series / Posters
Talks
NonCommutative Rings and their Applications, NCRA, IX (Hybrid Conference), Lens, France, 30 June-3 July 2025.
Leavitt Path Algebras of Polynomial Growth up to Isomorphism and Morita Equivalence, M. Özaydın
International Workshop on Leavitt Path Algebras and Related Areas, Gebze Technical University, Kocaeli, June 16-17, 2025.
Ideal Spaces and Quotients of Leavitt Path Algebras, A. Koç
International Workshop on Leavitt Path Algebras and Related Areas, Gebze Technical University, Kocaeli, June 16-17, 2025.
A Generic Quotient of a Leavitt Path Algebra is a Leavitt Path Algebra, A. Koç
The South atlantic Noncommutative Geometry Seminar (GeNoCAS), Universidad de Buenos Aires, Argentina, June 3, 2025.
Digraphs Algebras and Their Representations, M. Özaydın
International Workshop on Leavitt Path Algebras, Shillong, India, April 7-11, 2025
Leavitt Path Algebras, Categorically Speaking, M. Özaydın
Graduate Students Seminars, University of Oklahoma, USA, February 10, 2025
Digraphs Algebras and Their Representations-Part I & II, M. Özaydın
Algebra and Representation Theory Seminar, University of Oklahoma, USA, September 13&20, 2024
Subcategories of Modules and Irreducible Representations of Leavitt Path Algebras with Coefficients in a Commutative Ring, A. Koç
10th International IFSs and Contemporary Mathematics and Engineering Conference (Hybrid Conference), Mersin University, September 4-7, 2024
Leavitt Path Algebras with Coefficients in a Commutative Unital Ring, A. Koç
10th International IFSs and Contemporary Mathematics and Engineering Conference (Hybrid Conference), Mersin University, September 4-7, 2024
Leavitt Path Algebras of Quadratic and Cubic Growth, A. Koç
International Workshop on Algebra and Its Applications (IWAA24), Yıldız Technical University, İstanbul, July 22-24, 2024.
Leavitt Yol Cebirleri / Sonlu Boyutlu Modüllerinin Sınıflandırılması, A. Koç
10. Halka, Modül ve Cebir Çalıştayı: Çizge Tabanlı Cebirler, Hacettepe University, Ankara, July 1-4, 2024.
Leavitt Path Algebras of Small Gelfand-Kirillov Dimension, A. Koç
The 36th Ohio State-Denison Mathematics Conference (Hybrid Conference), The Ohio State University, USA, May 10-12, 2024.
Gelfand-Kirillov Boyutu Sonlu Leavitt Yol Cebirlerinin Morita Denklik Sınıfları, A. Koç
8. Cemal Koç Algebra Days, Hacettepe University, Ankara, April 27, 2024.
Quotients of Leavitt Path Algebras, A. Koç
Non-commutative Algebra Research Group Seminar, Online, April 19, 2024.
Finite Codimensional Maximal Ideals of Leavitt Path Algebras, M. Kamar, A. Koç
Workshop on Nonlinear Systems IV, Gebze Technical University, Kocaeli, Türkiye, March 03, 2024.
Somut Operatör Cebirleri ve Leavitt Yol Cebirleri, M. Özaydın
Mathematics Colloquium, İstanbul University, İstanbul, December 13, 2023.
Concrete C*-algebras and Leavitt Path Algebras, M. Özaydın
Mathematics Colloquium, ODTU, Ankara, November 16, 2023.
NonCommutative Rings and their Applications, NCRA, VIII, Hybrid Conference, Lens, France, August 28-31, 2023.
Mini Courses /Lecture Series
Leavitt Path Algebras, A. Koç
Undergraduate and Graduate Mathematics Summer School, Nesin Maths Village, Şirince, September 4-10, 2023. (Mini Course)
Leavitt Yol Cebirlerine Giriş-Temel Tanım ve Kavramlar, A. Koç, M. Özaydın
Summer School on Leavitt Path Algebras and Related Areas (Undergraduate and Graduate), Mersin University, Mersin, July 5-8, 2023. (Lecture Series)
Galois Bağlantıları, A. Koç
Summer School on Leavitt Path Algebras and Related Areas (Undergraduate and Graduate), Mersin University, Mersin, July 5-8, 2023. (Lecture Series)
Ok Temsilleri ve Modül Kategorileri, A. Koç, M. Özaydın
Summer School on Leavitt Path Algebras and Related Areas (Undergraduate and Graduate), Mersin University, Mersin, July 5-8, 2023. (Lecture Series)
Posters
Leavitt Path Algebras of Polynomial Growth up to Morita Equivalence, A. Koç
2.Temel Bilimler Festivali, Gebze Technical University, Kocaeli, May 21, 2024.
Classification of Finite Dimensional Representations of Leavitt Path Algebras, A. Koç, M. Özaydın
Summer School on Leavitt Path Algebras and Related Areas (Undergraduate and Graduate), Mersin University, Mersin, July 5-8, 2023. (Poster)
Ok Temsilleri ve Leavitt Yol Cebirlerinin Modülleri, B. D. İçin, A. Koç
Summer School on Leavitt Path Algebras and Related Areas (Undergraduate and Graduate), Mersin University, Mersin, July 5-8, 2023. (Poster)
Galois Bağlantıları ve Leavitt Yol Cebirlerine Uygulaması, A. Koç, E. Özkul
Summer School on Leavitt Path Algebras and Related Areas (Undergraduate and Graduate), Mersin University, Mersin, July 5-8, 2023. (Poster)
Functorial Constructions for Graph Algebras, A. Koç, H. N. Kolcu
7. Lisansüstü Araştırmalar Sempozyumu, Gebze Technical University, Kocaeli, May 31-June 1, 2023. (Poster)
International Workshop on Leavitt Path Algebras and Related Areas (online workshop) Gebze Technical University, June 16-17, 2025 (Link)
Mersin University, Mersin, July 5-8, 2023.
(Partially supported by TÜBİTAK 2237-A, Turkish Mathematical Society, Bilişim Vadisi and London Mathematical Society)
Completed MSc Theses
Functorial Constructions of Graph Algebras
Kolcu, H.N., (A. Koç, advisor) MSc Thesis, Gebze Technical University, March 2024
Finite Codimensional Maximal Ideals of Leavitt Path Algebras
Kamar, M., (A. Koç, advisor) MSc Thesis, Gebze Technical University, March 2024
Senior Thesis / Graduation Project
Galois Connections with an Applications to Leavitt Path Algebras
Özkul E., (A. Koç, advisor) Graduation Project, Gebze Technical University, June 2023.