Home | Members | Projects | Publications | SCIM | Theses topics |
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 |
15 August 2022 | ACA 2021 - Applications of Computer Algebra |
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 |
|
Ongoing | |||
---|---|---|---|
Concluded | |||
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 |
Books | ||||||||
---|---|---|---|---|---|---|---|---|
2020 | Daniel Slamanig, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos - "Mathematical Aspects of Computer and Information Sciences - 8th International Conference, MACIS 2019" - Springer LNCS. |
|
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) |
---|
Theses | ||||||||
---|---|---|---|---|---|---|---|---|
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 |
|