Özgür Esentepe

I am a postdoctoral fellow in the Institut für Mathematik at the University of Graz. I am interested in commutative algebra and representation theory. In particular, I like maximal Cohen-Macaulay modules and singularity categories.

Before coming to Graz, I was an EPSRC Research Fellow at the University of Leeds within the representation theory group. Before that, I was a postdoc at the University of Connecticut and I received my PhD from the University of Toronto under the supervision of Ragnar-Olaf Buchweitz. There I was a member of the Homological Methods Seminar and it shaped my research interests: representation theory, commutative algebra, homological algebra etc. After Ragnar passed away, I started working with Graham Leuschke while staying officially as a graduate student at the University of Toronto under the supervision of Joel Kamnitzer. I was an organizer of UCGEN and I used to live at AdIMOM.

Contact. You can contact me at ozgur.mylastname@uni-graz.at.

1. Auslander-Reiten annihilators
   Collactanea Mathematica. 77, No. 3, 603--622 2026 ( link)
2. Annihilators and decompositions of singularity categories
   with Ryo Takahashi
   Proceedings of the Edinburgh Mathematical Society, II Series. 67, No.3, 699-713 2024. (link)
3. An Alexandrov topology on the category of maximal Cohen-Macaulay modules
   with Mert Akdenizli, Bilal Aytekin, Baran Cetin
   Journal of Pure and Applied Algebra 228, No. 1, Article ID 107422. 2024 (link)
4. A note on the global dimension of shifted orders
   Algebras and Representation Theory 27, No. 1, 667-678 2024 (link)
5. The cohomology annihilator of a curve singularity
   Journal of Algebra 541, 359-379 2020 (link) (arxiv link)

1. Penrose tilings, infinite friezes and the $A_\infty$-singularity with Eleonore Faber
   Preprint: arxiv link 2025.
2. Annihilation of cohomology over one dimensional almost Gorenstein rings
   Preprint: arxiv link 2025.
3. When is the canonical conductor minimal?
   Preprint: arxiv link 2025.
4. Arf rings, simple singularities and reflexive modules
   Preprint: arxiv link 2025.

• University of Graz
  23. Summer 2026. Lineare Algebra und Analytische Geometrie. Course webpage.
  24. Summer 2026. Übungen zur Linearen Algebra und Analytischen Geometrie. Course webpage.
  25. Winter 2025. Übungen zur Linearen Algebra.
  26. Summer 2025. Übungen zur Linearen Algebra und Analytischen Geometrie.
  27. Winter 2024. Übungen zur Linearen Algebra. Course webpage.
  28. Winter 2024. Elementare Diskrete Mathematik.
  29. Summer 2024. Übungen zur Linearen Algebra und Analytischen Geometrie.
• University of Leeds
  19. Fall 2023. MATH3193 Algebras and Representations.
• University of Connecticut
  18. Spring 2022. MATH2210 Applied Linear Algebra. Course webpage.
  19. Fall 2021. MATH2110 Multivariable Calculus.
  20. Fall 2021. MATH2210 Applied Linear Algebra.
  21. Summer 2021. MATH1071 Calculus for Business and Economics.
  22. Spring 2021. MATH2210 Applied Linear Algebra.
  23. Fall 2020. MATH2210 Applied Linear Algebra.
  24. Summer 2020. MATH2110 Multivariable Calculus.
  25. Spring 2020. MATH3146 Introduction to Complex Variables.
  26. Fall 2019. MATH1020 Problem Solving.
• University of Toronto (as an instructor/coordinator)
  1. Summer 2019. MAT224 Linear Algebra II.
  2. Winter 2019. MAT136 Calculus II.
  3. Winter 2019. MAT137 Calculus. (Mississauga Campus)
  4. Fall 2018. MAT137 Calculus. (Mississauga Campus)
  5. Summer 2018. MAT135 Calculus I.
  6. Summer 2018. Calculus Bootcamp for Engineers.
  7. Winter 2018. MAT223 Linear Algebra I. (Mississauga Campus)
  8. Fall 2017. MAT224 Linear Algebra II.
  9. Summer 2017. MAT135 Calculus I.
• University of Toronto (as a teaching assistant)
  1. Winter 2019. MAT247 Linear Algebra II for Specialists.
  2. Fall 2018. MAT240 Linear Algebra I for Specialists.
  3. Winter 2018. MAT402 Classical Geometries. (Mississauga Campus)
  4. Winter 2018. MAT392 Ideas of Mathematics. (Mississauga Campus)
  5. Winter 2017. MAT247 Linear Algebra II for Specialists.
  6. Fall 2016. MAT240 Linear Algebra I for Specialists.
  7. Winter 2016. MAT247 Linear Algebra II for Specialists.
  8. Winter 2016. MAT402 Classical Geometries. (Mississauga Campus)
  9. Fall 2015. MATA29 Calculus I for Life Sciences. (Scarborough Campus)
  10. Fall 2015. MAT402 Classical Geomtries. (Mississauga Campus)
  11. Fall 2015. MAT240 Linear Algebra I for Specialists.
  12. Summer 2015. MATA32 Calculus for Business and Management. (Scarborough Campus)
  13. Summer 2015. MAT327 Topology.
  14. Winter 2015. MAT185 Linear Algebra for Engineering Science.
  15. Winter 2015. MAT224 Linear Algebra II.
  16. Fall 2014. MAT188 Linear Algebra for Engineers.
  17. Fall 2014. MAT224 Linear Algebra II.
  18. Fall 2014. MAT223 Linear Algebra I.
  19. Winter 2014. MAT224 Linear Algebra II.
  20. Winter 2014. MAT223 Linear Algebra I.
  21. Fall 2013. MAT188 Linear Algebra for Engineers.
  22. Fall 2013. MAT223 Linear Algebra I.

• I have started to keep a blog again.
• One Board Seminar.
• AdIMOM: Adelaide Institute of Mediocre and Outstanding Mathematics and a blog post about it.
• UCGEN: Uluslararası Cebirsel GEometri Neşesi.