Haydar Göral
Mathematician
haydargoral@iyte.edu.tr
Izmir, Turkey
Izmir, Turkey
I am a mathematician with a strong interest in Number Theory, Model Theory, and their applications to Diophantine Geometry. My research focuses on arithmetic progressions, Szemerédi's theorem, prime numbers, zeta functions, finite fields, combinatorics on words, and theoretical computer science. I am also interested in exploring the intersection of mathematics and machine learning techniques.
Research Interests
Number Theory
Diophantine Geometry
Model Theory
Nonstandard Analysis
Combinatorics
Theoretical Computer Science
Machine Learning
Current Position
15 MAR 2021 - Present
Associate Professor
İzmir Institute of Technology, İzmir, Turkey
Computer Skills
- Python, SageMath
- Working with supercomputers
Languages
Turkish
Native
English
Fluent
French
Intermediate
Research Visits
Max Planck Institute for Mathematics
May - June 2012
University of Los Andes
November 2012
University of Paris-Diderot
March - April 2013
University of Oxford
May 2013
Services
Matematik Dünyası Journal
Referee
Various international mathematics journals
Referee
Education
September 2011 - July 3, 2015
Ph.D. in Mathematics
University Claude Bernard Lyon 1, Lyon, France (Camille Jordan Institute)
- Thesis: Model Theory of Fields and Heights
- Advisors: Amador Martin-Pizarro and Frank Wagner
September 2009 - August 2011
M.Sc. in Mathematics
Koç University, Istanbul, Turkey
- Thesis: Generalized Prime Number Theorem on semi-groups of integers and the Möbius function
- Advisor: Emre Alkan
September 2008 - June 2009
M.Sc. Candidate, Mathematics
Istanbul Bilgi University, Istanbul, Turkey
September 2004 - June 2008
B.Sc. in Mathematics with honors
Istanbul Bilgi University, Istanbul, Turkey
Completed a graduation project on some Sieve Methods
Research Area
Number Theory, arithmetic progressions, Szemerédi's theorem, prime numbers, zeta functions, finite fields, combinatorics on words and theoretical computer science, harmonic numbers
Model Theory, its applications to Number Theory, Diophantine Geometry and Height functions
Machine learning techniques in mathematics
Work Experience
2021 - Present
İzmir Institute of Technology
Associate Professor
2018 - 2021
Dokuz Eylül University
Assistant Professor
2016 - 2018
Koç University
Instructor
2014 - 2015
University of Lyon 1
Teaching Assistant
2009 - 2011
Koç University
Teaching Assistant
2006 - 2009
Istanbul Bilgi University
Student Teaching Assistant
Postdoctoral Experience
2016 - 2017
Mimar Sinan Fine Arts University
2015 - 2016
Koç University
Thesis Supervision
- Mehmet Sönmez, Naz Kazar, master thesis, 2025-
- Mehmet Kaymak, Talip Can Termen, Ph.D. thesis, 2025-
- Mustafa Kutay Kutlu, Arithmetic progressions in finite rings, Ph.D. thesis, Izmir Institute of Technology, 2022-
- Çağatay Altuntaş, Some results on the sums of unit fractions, Ph.D. thesis (co-advisor), Istanbul Technical University, 2025
- Azem Berivan Adıbelli, Classical theorems of Ramsey theory via combinatorial and ultrafilter methods, master thesis, Izmir Institute of Technology, 2024
- Burak Turfan, Harmonic numbers and multiple zeta values, master thesis (co-advisor), Izmir Democracy University, 2022
- Mustafa Kutay Kutlu, Roth’s theorem on arithmetic progressions, master thesis (co-advisor), Dokuz Eylül University, 2022
- Hikmet Burak Özcan, Prime ideal theorem on number fields, master thesis, Dokuz Eylül University, 2020
- Doğa Can Sertbaş, Harmonic type sums and their arithmetic properties, Ph.D. thesis (co-advisor), Koç University, 2020
- Çağatay Altuntaş, The Dedekind zeta function and the analytic class number formula, master thesis (co-advisor), Koç University, 2018
- Supervised 8 undergraduate senior projects
Memberships
- 2023-present - Turkish Mathematical Society (TMD)
- 2021-2022, 2024-present - American Mathematical Society (AMS)
- 2014-2018, 2024-present - Association for Symbolic Logic (ASL)