ALgorithms for
Optimization and
Number theory
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In ALCYON (Algorithms for Combinatorics, Geometry, Optimization and Number Theory) we work on Symbolic Computation. Both on the mathematics to improve algorithms and on the efficient (high performance) implementations of algorithms in order to push mathematics further. Symbolic Computation lies in the intersection of mathematics and computer science. This means that it is both 100% mathematics and 100% computer science.
If you want to join us, fill in this form.
ALCYON participates in the Symbolic Computation Istanbul Meetings
If you are interested to work on a project (graduation project, master thesis, PhD, research project), you can check possible thesis topics.


08 August 2022

SCALE 2021 - Symbolic Computation: Algorithms, Learning and Engineering
In August 2022 we organize SCALE in Gebze/Istanbul. A three-week event celebrating Symbolic Computation. See you there!

15 August 2022

ACA 2021 - Applications of Computer Algebra
In August 2022 we organize ACA in Gebze.


Applications of Computer Algebra 15 August 2022 Turkey
Computer Algebra in Scientific Computing 26 August 2022 Turkey


Zafeirakis Zafeirakopoulos Faculty Gebze TU
Elias Tsigaridas Associate Faculty Inria/IMJ-PRG
Mohan Ravichandran Associate Faculty Bogazici University
Tulay Ayyildiz Akoglu Associate Faculty Karadeniz TU
Gizem Süngü PhD Student Gebze TU
Başak Karakaş MSc Student Gebze TU
Burak Kağak Korkmaz MSc Student Gebze TU
Gizem Bolayır MSc Student Gebze TU
Hüseyin Sabri Aliefendioğlu MSc Student Gebze TU
Şahin Mert Büyükkalkan MSc Student Gebze TU
Deniz Naz Demirel Undergraduate Student Middle East Technical University


2019 Jun-
2022 Jun
Gröbner Bases, Resultants and Polyhedral Geometry - GRAPE Bilateral Project with France - TUBITAK 2509 ~50k euro
2017 Mar-
2019 Jul
A system for efficient representation of mathematical data and benchmarking of mathematical software and algorithms TUBITAK 3001 ~17k euro
2017 Oct-
2020 Oct
Heterogeneous Algorithms for Combinatorics, Geometry, Optimization and Number Theory - HALCYON TUBITAK 3501 ~80k euro
2018 Oct-
2020 Feb
Algebraic Motion Planning Reasearch Council of Gebze Technical University ~3k euro
2016 Aug-
2017 Feb
Parallel Computation of Discrete and Continuous Volume Reasearch Council of Gebze Technical University ~3k euro


2020 Daniel Slamanig, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos - "Mathematical Aspects of Computer and Information Sciences - 8th International Conference, MACIS 2019" - Springer LNCS.
Conference Papers
2009 Michael Hemmer, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos, Ioannis Z. Emiris, Menelaos I. Karavelas, Bernard Mourrain - "Experimental evaluation and cross-benchmarking of univariate real solvers" - Symbolic Numeric Computation - SNC 2009.
2019 Umutcan Önal and Zafeirakis Zafeirakopoulos - "A Machine Learning Framework for Volume Prediction" - Analysis of Experimental Algorithms - SEA 2019.
2017 Vissarion Fisikopoulos, Zafeirakis Zafeirakopoulos - "Experimental Study of the Ehrhart Interpolation Polytope" - Mathematical Aspects of Computer and Information Sciences - MACIS 2017.
2020 Christina Katsamaki, Fabrice Rouillier, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos - "On the geometry and the topology of parametric curves" - ISSAC 2020.
2020 Christina Katsamaki, Fabrice Rouillier, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos - "PTOPO - a maple package for the topology of parametric curves." - ISSAC 2020.
2015 Ioannis Z. Emiris, Christos Konaxis, Zafeirakis Zafeirakopoulos - "Minkowski Decomposition and Geometric Predicates in Sparse Implicitization" - 40th International Symposium on Symbolic and Algebraic Computation - ISSAC.
2017 Ioannis Z. Emiris, Anna Karasoulou, Eleni Tzanaki, Zafeirakis Zafeirakopoulos - "On the space of Minkowski summands of a convex polytope" - EuroCG '16.
2013 Christos Koukouvinos, Dimitris E. Simos, Zafeirakis Zafeirakopoulos - "A Gröbner Bases Method for Complementary Sequences" - Proceedings of Applications of Computer Algebra ACA 2013.
Journal Papers
2014 Matthias Beck, Benjamin Braun, Matthias Köppe, Carla D. Savage, Zafeirakis Zafeirakopoulos - "s-Lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones" - The Ramanujan Journal.
2016 Matthias Beck, Benjamin Braun, Matthias Köppe, Carla D. Savage, Zafeirakis Zafeirakopoulos - "Generating Functions and Triangulations for Lecture Hall Cones" - SIAM Journal on Discrete Mathematics.
2017 Felix Breuer, Zafeirakis Zafeirakopoulos - "Polyhedral Omega: a New Algorithm for Solving Linear Diophantine Systems" - Annals of Combinatorics.
2014 Angelos Mantzaflaris, Hamid Rahkooy, Zafeirakis Zafeirakopoulos - "Efficient computation of dual space and directional multiplicity of an isolated point" - Computer Aided Geometric Design.
2014 Christos Koukouvinos, Veronika Pillwein, Dimitris E. Simos, Zafeirakis Zafeirakopoulos - "On the average complexity for the verification of compatible sequences" - Information Processing Letters.
Talks (Invited & Symposia w/o Proceedings)
2012 Zafeirakis Zafeirakopoulos - "Linear Diophantine Systems: Partition Analysis and Polyhedral Geometry" - Research Institute for Symbolic Computation / DK-compmath.
2019 Nurdan Ünlü - "Toric h-numbers of dual hypersimplices and Chow-Betti numbers abd Ehrhart polynomials of Minkowski sums with segments" - MSGSU.
2008 Zafeirakis Zafeirakopoulos - "Study and Benchmarks for Real Root Isolation methods" - Departments of Informatics and Telecommunication.
2019 Büşra Sert - "A Study on the Chamber Complex" - MSGSU.


Name Position Next position
Bengi Yörükoğlu Undergraduate Student
Büşra Sert MSc Student TU Berlin (PhD)
Elif Şeyma Armağan Undergraduate Student
Emek Çağrı Yerman Undergraduate Student
Emrah Korkmaz Undergraduate Student
Emre Bayram Undergraduate Student
Gamze Kanburoğlu Undergraduate Student
Hakkı Erdem Duman Undergraduate Student
Ibrahim Yazıcı Undergraduate Student
Ilkay Can Undergraduate Student
Ismet Abacı MSc Student
Kevser Yolcu Undergraduate Student
Mehmet Oğuzhan Ataman Undergraduate Student
Melih Yanalak  Undergraduate Student
Meryem Özkan MSc Student
Nevzat Furkan Yangil Undergraduate Student
Nurdan Ünlü MSc Student Gebze TU (PhD)
Nurgül Kangal Undergraduate Student Gebze TU (PhD)
Ömer Coşkunçelebi Undergraduate Student
Ömer Fatih Kuruca Undergraduate Student
Ramazan Özdemir Undergraduate Student
Selam Yasin Özleyen Undergraduate Student
Umutcan Önal MSc Student Industry
Vakhid Betrakhmadov Undergraduate Student
Yağmur Kaya Arıcan MSc Student
Yakup Türkan Undergraduate Student
Yunus Emre Avcı Undergraduate Student
Yusuf Patoğlu Undergraduate Student