Postdoctoral Fellow
Fırtına Küçük
Number Theory Group
Research Interests
My research interests primarily lie in the fields of arithmetic geometry and algebraic number theory; in particular, in Iwasawa theory. My investigations focus on \(p\)-adic \(L\)-functions, Selmer complexes, \(p\)-adic Hodge theory, rigid analytic spaces, and Euler systems.
Iwasawa Theory
\(p\)-adic \(L\)-functions
Selmer Complexes
\(p\)-adic Hodge Theory
Rigid Analytic Spaces
Euler Systems
Arithmetic Geometry
Algebraic Number Theory
Ongoing Research
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Current
Algebraic adjoint \(p\)-adic \(L\)-functions around \(\theta\)-critical points of the eigencurve
Joint with Kazım Büyükboduk (University College Dublin)
Academic IDs
Education
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2019 – 2023
Ph.D. in Mathematics, University College Dublin, Ireland
Supervised by Kâzım Büyükboduk on Iwasawa Theory -
2017 – 2019
M.Sc. in Mathematics, Koç University, Istanbul, Turkey
Supervised by Varga Kalantarov on Partial Differential Equations - 2012 – 2017 B.Sc. in Mathematics & Computer Engineering (Double Major), Koç University, Istanbul, Turkey
Teaching & Work Experience
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Aug – Nov 2024
Teaching Fellow in Mathematics
Mary Immaculate College, Thurles, Tipperary, Ireland -
2019 – 2024
Tutor
University College Dublin, Ireland -
2017 – 2019
Teaching Assistant
Koç University, Istanbul, Turkey -
Summer 2017
Section Leader, CS-Bridge Programme
Koç University (joint with Stanford University), Istanbul, Turkey -
Spring 2017
Tutor, Office of Learning and Teaching
Koç University, Istanbul, Turkey -
Summer 2016
Intern, Game Development Department
Vertigo Games LTD., Istanbul, Turkey -
Summer 2015
Intern, IT Department
Betek Color Industry Co., Istanbul, Turkey
Publications & Preprints
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1
Factorization of algebraic \(p\)-adic \(L\)-functions attached to adjoint representations of Coleman families: Non-critical caseSubmitted — arXiv:2310.00472v2 [math.NT]arXiv:2310.00472 Latest version
Talks, Schools & Conferences
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Talk
\(p\)-adic Artin formalism and factorization of algebraic adjoint \(p\)-adic \(L\)-functions
Bilkent University, Ankara, Turkey — March 2026 -
Talk
\(p\)-adic Artin formalism and factorization of algebraic adjoint \(p\)-adic \(L\)-functions
Mathematics Research Center – ASOIU General Seminar, Baku, Azerbaijan — December 2025 -
Talk
Factorization of algebraic adjoint \(p\)-adic \(L\)-functions
Gebze Technical University – General Seminars in Mathematics, Kocaeli, Turkey — May 2025 -
Conference Talk
Factorization of algebraic \(p\)-adic adjoint \(L\)-functions
Young Researchers in Galois Representations and Related Topics, Università di Genova, Genoa, Italy — January 2025 -
Talk
Factorization of algebraic \(p\)-adic Rankin–Selberg \(L\)-functions
ICMAT–UAM Number Theory Seminar, Madrid, Spain — November 2024 -
Talk
Factorization of algebraic \(p\)-adic Rankin–Selberg \(L\)-functions
Mary Immaculate College, Tipperary, Ireland — October 2024 -
Poster
Factorization of Algebraic \(p\)-adic \(L\)-functions of Adjoint Representations of Coleman Families
Modular Forms, \(L\)-functions, and Eigenvarieties, ENS Paris, France — June 2024 -
Talk
Factorization of algebraic \(p\)-adic Rankin–Selberg \(L\)-functions
FGC-HRI-IPM Number Theory Seminars (online) — April 2024 -
Talk
Factorization of algebraic \(p\)-adic \(L\)-functions of Rankin–Selberg products
Ottawa/Carleton Number Theory Seminar (online) — March 2024 -
Talk
Factorization of \(p\)-adic \(L\)-functions: Towards the \(\theta\)-critical case
UCD Algebra and Number Theory Seminars, Dublin, Ireland — November 2023 -
Talk
Factorization of Algebraic \(p\)-adic \(L\)-functions Attached to Adjoint Representations of Coleman Families
Koç University (online) — December 2022 -
Talk
Factorization of Algebraic \(p\)-adic \(L\)-functions Attached to Adjoint Representations of Coleman Families
UCD Algebra and Number Theory Seminars, Dublin, Ireland — March 2022 -
Workshop
Constructing Numbers: From Natural Numbers to Real Numbers
Koç University, Istanbul, Turkey — March 2017 -
Workshop
Set Theory and Ordinal Numbers
Koç University, Istanbul, Turkey — December 2016
Honors & Awards
- Vehbi Koç High Honors Award — For attaining an outstanding academic performance and GPA over 3.50 (2014, 2015, 2017)
- Bronze Medal, National Mathematics Olympiads in Turkey (2011)
- Silver Medal, Antalya Mathematics Olympiads (2011)
- Bronze Medal, MEB Istanbul Science Olympiads (2011)
- 3rd Prize, Sabancı University Mathematics Competition (2011)
- Honorable Mention, Bilgi University Cahit Arf Mathematics Days (2010)