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.

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

Organized Math:

• Antalya Algebra Days [since 1999]
• 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:
  1. 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.
  2. Linear Algebra I-II, Honors Linear Algebra I-II, Basic Linear Algebra, Geometri ve Cebir, Sayılar Kuramı (İngilizce), Lineer Cebir (İngilizce).
  3. Abstract Algebra, Field Extensions and Galois Theory, Elementary Number Theory, Set Theory, Graph Theory, Soyut Cebir, Metrik Uzaylar.
  4. 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:
    1. Şükrü Yalçınkaya, 'Probabilistic recognition of symplectic and orthogonal groups', M.Sc. Thesis, METU, 2001.
       
    2. Şükrü Yalçınkaya, 'Black Box Groups and Related Group Theoretic Constructions', Ph.D. Thesis, (Co-supervisor: A. Borovik), METU, 2007.
       
    3. Pınar Uğurlu, 'Groups of finite Morley rank with a tight automorphism whose centralizer is pseudofinite', Ph.D. Thesis, (Co-supervisor: A. Borovik), METU, 2009.
    4. Jülide Miray Özkan, 'Çoklu Geçişli Grup Etkileri' (Multiply Transitive Group Actions), Yüksek Lisans Tezi (M.Sc. Thesis), MSGSÜ, 2017.
    5. Barış Bektaş, 'Grupların ve Grup Etkilerinin Tarski Sayıları' (Tarski Numbers of Groups and Group Actions), Yüksek Lisans Tezi (M.Sc. Thesis), MSGSÜ, 2018.
    6. 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.
    7. Aslı Kaya, 'Keskin 2-Geçişli Lineer Gruplar' (Sharply 2-Transitive Linear Groups), Yüksek Lisans Tezi (M.Sc. Thesis), MSGSÜ, 2022.
  • Undergraduate Projects (abolished in 2018):
    1. Mehmet Aziz Yirik, 'Platon ve Arşimet Cisimleri' (Platonic and Archimedean Solids), Güz 2012.
    2. Eda Kırımlı, 'Keskin 2-geçişli Grup Etkileri' (Sharply 2-Transitive Actions of Groups), Güz 2014.
    3. Miray Özge Öztürk, 'Simplektik Geometri', Güz 2014.
    4. Ayşegül Soğan, 'Hiperbolik Geometri', Bahar 2015.
    5. Görkem Kelebek-Uğurcan Eser, 'Banach-Tarski Paradoksu', Güz 2015.
    6. Ayşegül Soğan, 'Analitik Fonksiyonlar', Güz 2015.
    7. Müjde Deniz, 'Lamplighter Groups', Bahar 2016.
    8. Mert Can, 'Baumslag Solitar Groups', Güz 2016.
    9. Abdullah Yeşilbudak, 'Gruplarda Büyüme Fonksiyonları' (Growth Functions of Groups), Bahar 2017.
    10. Öznur Kuzucu, 'Geometrik Grup Teori'nin Temel Gözlemi (Švarc–Milnor Lemma)', Güz 2017.
    11. Gülsemin Çonoğlu, '168 Elemanlı Basit Grup' (The Simple Group of Order 168), Güz 2017.
    12. Gökhan Ayyıldız, 'Nielsen–Schreier Teoremi'nin Farklı Kanıtları', Güz 2018.
  • Senior Theses (commenced in 2019):
    1. 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.
    2. Sevgi Koç, 'Lie Grupları' (Lie Groups), Ahmet Bakkaloğlu ile ortak danışmanlık, Bahar 2019.
    3. Gökhan Ayyıldız, 'Serbest Gruplar ve Stallings Yöntemi' (Method of Stallings for Free Groups), Bahar 2019.
    4. Kaan Doğanay, 'Grupların Değişme Dereceleri' (Commutativity Degrees of Groups), Bahar 2020.
    5. Cemre Ulusoy, 'Grupların Cayley Grafları, Frucht ve Sabidussi Teoremleri' (Cayley Graphs of Groups, Theorems of Frucht and Sabidussi), Güz 2021.
    6. Gamze Sevim, 'Coxeter Gruplarının Tits Gösterimi' (Tits Representation of Coxeter Groups), Bahar 2022.
    7. Rabia Aydar, 'Sonlu Üreteçli Grupların Son Sayıları' (Number of Ends in Finitely Generated Groups), Bahar 2022.
    8. Berfin Karaahmet, 'Yansımalı Bilineer Formlar ve Geometrileri' (Reflexive Bilinear Forms and Associated Geometries), Bahar 2023.
    9. Hakan Göz, 'Cantor Kümesi' (The Cantor Set), David Pierce ile ortak danışmanlık, Bahar 2023.
• Summer Courses at the Nesin Math Village (2008 – Present):
  • 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 – Present
• 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

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Updated in February 2024.