Brief CV of Ayşe Berkman
-
Official Name: Ayşe Aslı Berkman Pierce
- Birth: 1 May 1971, Ankara
- BS & MS: Department of Mathematics, METU, 1992, 1995.
- PhD: Department of Mathematics, University of Manchester Institute of Science and Technology, UK, 1998.
- Birth: 1 May 1971, Ankara
Work Places:
- Between 1992-95 and 1998-2011: Mathematics Department, METU
- From 2011 on: Mathematics Department, Mimar Sinan University.
Written Math:
- MS Thesis: Algebraic Structures of Finite Morley Rank (Supervisor: Simon Thomas), METU, 1995.
- PhD Thesis: Tame Groups of Finite Morley Rank (Supervisor: Alexandre Borovik), UMIST, 1998.
- 'On Quasi and Psuedo Unipotent Groups', with C. Altseimer, Manchester Center for Pure Mathematics Preprint Series (1998).
- 'The Classical Involution Theorem for Groups of Finite Morley Rank', J. Algebra 243 (2001) 361-384.
- 'An Identification Theorem for Groups of Even Type', with A. Borovik, J. Algebra 266 (2003) 375-381.
- 'A Generic Identification Theorem for Groups of Finite Morley Rank', with A. Borovik, J. London Math. Soc. (2) 69 (2004) 14-26.
- 'On Groups with the Weak Wide Commensurable Property', with M. Kuzucuoğlu and E. Özyurt, Turkish J. Math. 29 (2005) 403-412.
- 'Centralizers of Involutions in Locally Finite-Simple Groups', with M. Kuzucuoğlu and E. Özyurt, Rend. Sem. Mat. Univ. Padova 118 (2007) 189-196.
- 'A Generic Identification Theorem for $L*$-Groups of Finite Morley Rank', with A. Borovik, J. Burdges and G. Cherlin, J. Algebra 319 (2008) 50-76.
- 'A Generic Identification Theorem for Groups of Finite Morley Rank, Revisited', with A. Borovik, preprint (2011). arXiv link
- 'Groups of Finite Morley Rank with a Pseudoreflection Action', with A. Borovik, J. Algebra 368 (2012) 237-250. arXiv link
- 'Groups of Finite Morley Rank with a Generically Sharply Multiply Transitive Action', with A. Borovik, J. Algebra 513 (2018) 113-132. arXiv link
- 'Sharply 2-Transitive Groups of Finite Morley Rank', with T. Altınel and F. O. Wagner, preprint (2018), revised (2024). arXiv link
- 'Groups of Finite Morley Rank with a Generically Multiply Transitive Action on an Abelian Group', with A. Borovik, Model Theory 1 (2022) 1-14. arXiv link, journal link.
- 'Groups Acting Generically Multiply Transitively on Solvable Groups', with A. Borovik, preprint (2024). arXiv link
- 'Primitive Permutation Groups of Finite Morley Rank and Affine Type', with A. Borovik, preprint (2024). arXiv link
Organized Math:
- Antalya Algebra Days [1999-2019]
- Turkish National Math Symposium [1999 – 2000]
- Cahit Arf Lectures [2002 – 2006, 2008]
- MODNET Antalya Conference [2006]
- Cherlin Bayramı [2009]
- Models and Groups, İstanbul, 1 – 6 [2013 – 2016]
- BN-Pair [2016]
- Birinci Bahar Matematik Buluşması [2017]
- Caucasian Mathematics Conference - II [2017]
- An Afternoon with Group Theory [2020]
- Genç Matematikçiler Toplantısı [2023]
Teaching:
- Undergraduate:
- Basic Mathematics I-II, Calculus I-II, Calculus for Math Students I-II, Analytic Geometry, Fundamentals of Mathematics, Basic Algebraic Structures, Introductory Discrete Math, Calculus with Analytic Geometry, Calculus of Functions of Several Variables, Sayılar Kuramına Giriş, Öklid Geometrisine Giriş, Analiz II.
- Linear Algebra I-II, Honors Linear Algebra I-II, Basic Linear Algebra, Geometri ve Cebir, Sayılar Kuramı (İngilizce), Lineer Cebir (İngilizce).
- Abstract Algebra, Field Extensions and Galois Theory, Elementary Number Theory, Set Theory, Graph Theory, Soyut Cebir, Metrik Uzaylar.
- Introduction to Group Theory, Groups and Geometry, Rings and Modules, Geometric Algebra, Cebirde Seçme Konular II, Permütasyon Grupları, Geometrik Grup Teori, Gruplar ve Geometri, Cebirsel Topoloji.
- Graduate: Lie Algebras, Algebra I-II, Linear Algebraic Groups, Buildings and Classical Groups, Cebir I-II.
- Supervision:
- Graduate Theses:
- Şükrü
Yalçınkaya, 'Probabilistic recognition of
symplectic and orthogonal
groups', M.Sc. Thesis, METU, 2001.
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Şükrü Yalçınkaya, 'Black Box Groups and Related Group Theoretic
Constructions', Ph.D. Thesis, (Co-supervisor:
A. Borovik), METU, 2007.
- Pınar Uğurlu, 'Groups of finite Morley rank with a tight automorphism whose centralizer is pseudofinite', Ph.D. Thesis, (Co-supervisor: A. Borovik), METU, 2009.
- Jülide Miray Özkan, 'Çoklu Geçişli Grup Etkileri' (Multiply Transitive Group Actions), Yüksek Lisans Tezi (M.Sc. Thesis), MSGSÜ, 2017.
- Barış Bektaş, 'Grupların ve Grup Etkilerinin Tarski Sayıları' (Tarski Numbers of Groups and Group Actions), Yüksek Lisans Tezi (M.Sc. Thesis), MSGSÜ, 2018.
- Kaan Doğanay, 'Limit Grupların Model Teori ile İncelenmesi' (A Model Theoretic Approach to Limit Groups), (İkinci danışman: David Pierce), Yüksek Lisans Tezi (M.Sc. Thesis), MSGSÜ, 2022.
- Aslı Kaya, 'Keskin 2-Geçişli Lineer Gruplar' (Sharply 2-Transitive Linear Groups), Yüksek Lisans Tezi (M.Sc. Thesis), MSGSÜ, 2022.
- Şükrü
Yalçınkaya, 'Probabilistic recognition of
symplectic and orthogonal
groups', M.Sc. Thesis, METU, 2001.
- Undergraduate Projects (abolished in 2018):
- Mehmet Aziz Yirik, 'Platon ve Arşimet Cisimleri' (Platonic and Archimedean Solids), Güz 2012.
- Eda Kırımlı, 'Keskin 2-geçişli Grup Etkileri' (Sharply 2-Transitive Actions of Groups), Güz 2014.
- Miray Özge Öztürk, 'Simplektik Geometri', Güz 2014.
- Ayşegül Soğan, 'Hiperbolik Geometri', Bahar 2015.
- Görkem Kelebek-Uğurcan Eser, 'Banach-Tarski Paradoksu', Güz 2015.
- Ayşegül Soğan, 'Analitik Fonksiyonlar', Güz 2015.
- Müjde Deniz, 'Lamplighter Groups', Bahar 2016.
- Mert Can, 'Baumslag Solitar Groups', Güz 2016.
- Abdullah Yeşilbudak, 'Gruplarda Büyüme Fonksiyonları' (Growth Functions of Groups), Bahar 2017.
- Öznur Kuzucu, 'Geometrik Grup Teori'nin Temel Gözlemi (Švarc–Milnor Lemma)', Güz 2017.
- Gülsemin Çonoğlu, '168 Elemanlı Basit Grup' (The Simple Group of Order 168), Güz 2017.
- Gökhan Ayyıldız, 'Nielsen–Schreier Teoremi'nin Farklı Kanıtları', Güz 2018.
- Senior Theses (commenced in 2019):
- Aslı Kaya, 'Sonlu Keskin Çoklu Geçişli Permütasyon Grupları için Jordan Teoremi'nin İspatı' (A Proof of Jordan's Theorem for Finite Sharply Multiply Transitive Permutation Groups), Bahar 2019.
- Sevgi Koç, 'Lie Grupları' (Lie Groups), Ahmet Bakkaloğlu ile ortak danışmanlık, Bahar 2019.
- Gökhan Ayyıldız, 'Serbest Gruplar ve Stallings Yöntemi' (Method of Stallings for Free Groups), Bahar 2019.
- Kaan Doğanay, 'Grupların Değişme Dereceleri' (Commutativity Degrees of Groups), Bahar 2020.
- Cemre Ulusoy, 'Grupların Cayley Grafları, Frucht ve Sabidussi Teoremleri' (Cayley Graphs of Groups, Theorems of Frucht and Sabidussi), Güz 2021.
- Gamze Sevim, 'Coxeter Gruplarının Tits Gösterimi' (Tits Representation of Coxeter Groups), Bahar 2022.
- Rabia Aydar, 'Sonlu Üreteçli Grupların Son Sayıları' (Number of Ends in Finitely Generated Groups), Bahar 2022.
- Berfin Karaahmet, 'Yansımalı Bilineer Formlar ve Geometrileri' (Reflexive Bilinear Forms and Associated Geometries), Bahar 2023.
- Hakan Göz, 'Cantor Kümesi' (The Cantor Set), David Pierce ile ortak danışmanlık, Bahar 2023.
- Sedanur Tokat, 'Çözülebilir ve Nilpotent Lie Cebirleri' (Solvable and Nilpotent Lie Algebras), Bahar 2024.
- Graduate Theses:
- Summer Courses at the Nesin
Math Village (2008 – 2020):
- University Level: Coxeter Groups, Groups and Geometry, Groups and Graphs, Geometric Algebra, Multiply Transitive Group Actions, Finite Geometries and Their Automorphism Groups, Geometric Group Theory, Banach-Tarski Paradox, BN-Pairs, (Counter)examples in Group Theory, Fraïssé Limits, Groups and Symmetry, Orders of Finite Simple Groups, Amenable Groups, Hyperbolic Geometry, (Counter) examples in Group Theory.
- High School Level: Geometri ve Cebir [Video link] (Lise öğrencilerine yönelik)
Administrative:
- Head of the Graduate Committee of METU Mathematics Department: 2000 – 2003
- Elected member of the Academic Board of the Faculty of Arts and Science in METU: 2003 – 2006
- Vice Chairperson of METU Mathematics Department: 2003 – 2004
- Model Theory and Applications Network (EU FP6 Marie Curie RTN), Turkey coordinator: Jan 2004 – Dec 2008
- Member of the Executive Board of the Mathematics Foundation: 2007 – 2009
- Elected member of the Executive Board of the METU Graduate School of Natural and Applied Sciences: 2009 – 2011
- Chair of the MSGSÜ Mathematics Department: 2011 – 2017, 2019 – 2022
- Elected member of the Executive Board of the MSGSÜ Graduate School: 2012 – 2015
- Member of the Executive Board of the Turkish Mathematical Society: 2012 – 2016
- Elected member of the Executive Board of the Faculty of Arts and Science in MSGSÜ: 2014 – 2017
- President of the Turkish Mathematical Society: 2022 – 2024
Consultancy:
- Academical Advisor of the METU Student Math Club: 1998 – 2011
- Consultant to the Director of the METU Graduate School of Natural and Applied Sciences: 2004 – 2010
- Member of the Advisory Board of the Nesin Mathematics Village: 2007 – 2020
- Elected member of the ASL Council: January 2009 – December 2011
- Member of the MSGSÜ SRP Committee: 2020 – 2024
- Elected member of the EMS Education Committe: January 2021 – Present
Back to Ayşe Berkman's page.
Updated in July 2024.