Rebecca Waldecker
Professor for Algebra

rebecca_waldecker Photo: Karsten Möbius (2018) Contact Phone +49 345 5524623 Fax +49 345 5527002 Email rebecca.waldecker[at]
Postal adress Prof. Dr. Rebecca Waldecker Martin Luther University Halle-Wittenberg Institut of Mathematics 06099 Halle (Saale)
Research interests Finite Groups Classification results and applications
Group theoretical arguments for improved algorithms
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  • Rebecca Waldecker - Professor for Algebra
    Currriculum vitae

    My full name is Rebecca Anne Hedwig Waldecker. I was born in Aachen in 1979 and I grew up in northern Germany.

    Academic positions
    • Since March 2015 Professor for Algebra at the Martin Luther University Halle-Wittenberg.
    • Oktober 2009 - Februar 2015 Junior professor for groups and geometries at the University of Halle (Germany).
    • May 2007 - September 2009 Research Fellow at the University of Birmingham,funded by the Leverhulme Trust, on a grant with Paul Flavell.
    • January - April 2007 Honorary Lecturer at the University of Birmingham, School of Mathematics.
    Education and qualification
    • Habilitation at the Martin Luther University Halle-Wittenberg (2014).
    • PhD at the Christian-Albrechts-Universität zu Kiel (2007).
    • 2003 - 2006 PhD student at the Christian-Albrechts-Universität zu Kiel.
    • Diplom (undergraduate degree) in Mathematics, Statistics und Econometrics at the Christian-Albrechts-University of Kiel (2003).
    Rebecca Waldecker - Professor for Algebra

    Most of my research comes from questions about the structure of finite groups. I am particularly interested in so-called local methods and results related to the Classification of Finite Simple Groups (CFSG) and in appli- cations of group theoretic results. Therefore a part of my work is dedicated to refining and extending existing methods as well as developing new tech- niques in abstract group theory. An increasing amount of time goes into answering questions from other mathematical areas that can be translated into group theoretic problems and then solved.

    There are new projects related to computer algebra software: For example, joint work with Markus Pfeiffer and Chris Jefferson is improving search algorithms for permutation groups.

    • Towards the Z*_3-Theorem, with Imke Toborg. In revision.
    • The refinement quality of orbital graphs, with Paula Hähndel. Submitted.
    • Complex conjugation as a central Galois automorphism, with Laura Gonschorek. Submitted.
    • Transitive permutation groups with trivial five point stabilizers, with Kay Magaard and Barbara Baumeister. In preparation.
    • The 3-structure of transitive permutation groups acting with fixity 4, with Kay Magaard und Barbara Baumeister. In preparation.

    Publications since 2015:
    • The Sylow structure of transitive permutation groups acting with fixity 4, with Barbara Baumeister und Kay Magaard. Special issue in honor of Kay Magaard, Albanian J. Math. 12, (2018), 137-145. Available online.
    • New refiners for permutation groups search, with Chris Jefferson und Markus Pfeiffer. Journal of Symbolic Computation 92, May - June 2019, Pages 70 - 92. Online version.
    • Minimal and canonical images, with Chris Jefferson, Eliza Jonauskyte und Markus Pfeiffer. Journal of Algebra, online here.
    • Questions on orbital graphs, with Paula Hähndel. In: Davenport J., Kauers M., Labahn G., Urban J. (eds) Mathematical Software - ICMS 2018. Lecture Notes in Computer Science, vol 10931. Springer, Cham. Here is the online version.
    • Permutation groups where non-trivial elements have few fixed points, in "Finite Simple Groups: Thirty Years of the Atlas and Beyond", herausgegeben von M. Bhargava, R. M. Guralnick, G. Hiss, K. Lux and P. H. Tiep. Contemporary Mathematics 694, AMS (2017), 223-229.
    • Rempe-Gillen, Lasse and Waldecker, Rebecca, Primzahltests für Einsteiger, 2nd edition. Springer, 2015.
    • Magaard, Kay und Waldecker, Rebecca, Transitive permutation groups with trivial four point stabilizers, J. Group Theory 18 (2015), no. 5, 687-740.
    • Pölzing, Juliane and Waldecker, Rebecca, M9-free groups, J. Group Theory 18 (2015), 155-190.
    • Magaard, Kay and Waldecker, Rebecca, Transitive permutation groups where nontrivial elements have at most two fixed points, Journal of Pure and Applied Algebra 219, Issue 4 (2015), 729-759.

    Publications before 2015 can be found here.

    • Funding from the VolkswagenStiftung (2018-2019) for a summer school on "Constructive Matrix group recognition in GAP", with Alice Niemeyer.
    • Grant for a summer school at the Institute Mittag-Leffler (Stockholm) with Cheryl Praeger and Donna Testerman.
    • Project funded by the VolkswagenStiftung (2018-2019) for "Exploring Graph Backtracking".
    • Cheryl Praeger Visiting Research Fellowship 2017 (stay at the UWA).
    • DFG grant (2016).
    • DFG grant (2014).
    • Funding for conferences
    • Mercator-Professorship for Chris Parker (2011) with Gernot Stroth.
    • 2007 Conference Grant from the London Mathematical Society.
    • 2003-2006 Grant from the Studienstiftung des deutschen Volkes for postgraduate students.
    • 2002 Grant from the DAAD for a short term visit in Paris.
    • 1998-2003 Grant from the Studienstiftung des deutschen Volkes for undergraduate students.

    Rebecca Waldecker - Professor for Algebra

    Here is a list of courses that I teach frequently:

    Linear Algebra, Algebra, Galois theory, Group theory, representation theory, coxeter groups and chamber systems, number theory, special topics in group theory.

    Many of them have accompanying workshops, audio files of the lectures and, more recently, podcasts. There are also sporadic workshops on teaching from a more philosophical perspective.
    I am happy about suggestions for workshop topics or podcasts!

    Summary of teaching experience before 2010

    For my teaching page in German and more information please go to my German webpage and then to "Lehre".
    Rebecca Waldecker - Professor for Algebra

    Students who are intersted in algebraic topics can work on projects with me for a qualification thesis (Bachelor, Master, PhD), and I also have PostDoc projects.

    At the Bachelor thesis level the topics can vary from number theory, or aspects of graph theory to Galois theory or, of course, group theory, also with computational or historical aspects. More advanced work with me (e.g. Master thesis) has to be in group theory and needs some background knowledge from advanced courses.

    More information and examples for topics of theses can be found on my German page at "Betreuung".
    Rebecca Waldecker - Professor for Algebra
    The young group theorists conference "Grüppchen"

    The "Grüppchen" is a conference for young group theorists that takes place once a year, alternatingly between Halle and Gießen. The talks are mostly in German. For more information please visit my German homepage and look at "Das Grüppchen".
    Rebecca Waldecker - Professor for Algebra

    Here are some activities, just email me in case of any questions!
    • Coaching of students and young researchers.
    • School visits and presentations, information at open days, support of mathematics teachers.
    • Workshops on mathematical topics and on topics related to coaching and teaching.
    • Audio files for my lectures and podcasts on special questions.
    • Projects for students in their first year to help overcome transition problems from school to university.
    • Newsletter of the Maths Institute.
    • Liaison person for the German Academic Scholarship Foundation since 2012.
    • Vice president of the German Association of University Professors and Lecturers since 2016.
    • Head of the Maths Institute since 2015.
    • Active member of several faculty and university committees.
    • Local organiser of the Northern German Group Theory Colloquium and the Halle-Jena-Seminar in Algebra.
    • Co-organiser of the Young Group Theorists Conference ("Grüppchen") and the Summer School on Finite Groups and Related Geometrical Structures.
    Rebecca Waldecker - Professor for Algebra

    Talks since 2014
    • OSCAR-Workshop at MPI Leipzig, 12th Dezember, "Orbital graphs".
    • Nikolaus-Konferenz in Aachen, 8th Dezember, "Orbital graphs".
    • Oberseminar Algebra at the RWTH Aachen, 7th Dezember 2017, "Unterwegs zum Z*_3-Satz".
    • Lecture Series for the Modern Mathematics International Summer School in Bremen, 7th - 9th July, "Permutation groups".
    • "Snowflakes, viruses and algorithms" Mathematics and Statistics Colloquium at the UWA (Perth), 16th March.
    • "Orbital graphs" im Groups and Combinatorics Seminar an der UWA (Perth), 10th March.
    • "Finding and using symmetry", Mathematics Seminar at the University of Dundee, 8th August.
    • Talk at Conference "Group Theory, Geometry and the Influence of Jacques Tits" in Karlsruhe, 27th May: "Towards a Z*_3-Theorem".
    • NBSAN-Meeting: "Applying permutation group theory" at the University of St Andrews, 18th March.
    • CIRCA-Seminar "Fixity and subgroup structure" at the University of St Andrews, 26th August.
    • Lecture Series for the Modern Mathematics International Summer School in Bremen, 4th - 9th July, on Coxeter chamber systems.
    • Inaugural lecture "Was sind und was können Gruppen?" at the Martin-Luther-Universität Halle-Wittenberg, 21th May.
    • Talk at the Workshop "Algorithms for Linear Groups" in Banff, 20the November: "Permutation groups where non-trivial elements have few fixed points".
    • Lecture Series for the Modern Mathematics International Summer School in Lyon, 22nd - 29th August, on the topics group theory and primality testing.
    • Talk at the Martin-Luther-Universität Halle-Wittenberg, 24th July, for the application to a professorship: "Permutation groups and Riemann Surfaces".
    • Mathematics Colloquium at the Martin-Luther-Universität Halle-Wittenberg, 3rd July: "Permutation groups working hard".
    Talks before 2014