What I am doing:

I am currently a PhD student of the Mathematics Münster Graduate School at Universität Münster under the supervision of Prof. Dr. Linus Kramer.

Research interests:

I am interested in buildings (of spherical type), incidence geometry, group theory and combinatorics.

Preprints, eprints, publications and other writings:

• Groups of Projectivities and Levi Subgroups in Spherical Buildings of Simply Laced Type
  Sira Busch, Jeroen Schillewaert, Hendrik Van Maldeghem, arXiv:2407.09226, Preprint PDF

• A Characterisation of lines in finite Lie incidence geometries of classical type
  Sira Busch, Hendrik Van Maldeghem, arXiv:2408.02413, Preprint PDF

• The Moufang Condition and Root Automorphisms for Spherical Buildings of Rank 3
  Sira Busch, arXiv:2502.12857, Preprint PDF

• Theses:
  • Gruppenkubisierung und ein Ergebnis Sabidussis .
    Group cubization and a result of Sabidussi.
    Master's thesis (2020)
  • Teilmengen mit Toren und Projektionen in metrischen Räumen und Gebäuden .
    Gated subsets and projections in metric spaces and buildings.
    Bachelor's thesis (2017)

Talks:

• 13/12/2024, Lines in geometries associated with finite buildings, Joint meeting of the NZMS, AustMS and AMS Conference, Session Groups and Geometry, University of Auckland, New Zealand.

• 15/11/2024, Lines in geometries associated with finite buildings, Magic Square Seminar, Universiteit Gent, Belgium.

• 10/09/2024, Projectivity Groups of Spherical Buildings, Integral Structures in Geometry and Representation Theory, Session Groups and Geometry, Opening conference of CRC-TRR 358 of Bielefeld and Paderborn University, Paderborn, Germany.

• 13/06/2024, Projectivity Groups of Spherical Buildings, Geometry and Groups Seminar, Ruprecht-Karls-Universität Heidelberg, Germany.

• 19/04/2024, Projectivity groups of spherical buildings, Oberseminar Algebra und Geometrie, Heinrich Heine University Düsseldorf, Germany.

• 24/02/2024, Die Moufang-Eigenschaft in Polarräumen, Das Grüppchen, Martin-Luther-Universität Halle-Wittenberg, Germany.

• 09/02/2024, The Moufang Property in Polar Spaces, Bielefeld-Münster Seminar on Groups, Geometry and Topology, Münster University, Germany.

• 18/01/2024, Spherical Buildings and the Moufang Property, PostGrad Seminar, University of Auckland, New Zealand.

• 16/01/2024, The Moufang Property in Polar Spaces, Algebra and Combinatorics Seminar, University of Auckland, New Zealand.

• 05/12/2023, Constructing automorphisms and showing the Moufang property for projective planes and generalized quadrangles in polar spaces, Magic Square Seminar, Universiteit Gent, Belgium.

• 07/07/2023, Buildings as Generalizations of Projective Spaces – Visualizing the Moufang Property, HaJe MaDre, Martin-Luther-Universität Halle-Wittenberg, Germany.

• 24/03/2023, Spherical Buildings, Das Grüppchen, Christian-Albrechts-Universität zu Kiel, Germany.

• 03/2022, Group Cubization, Oberseminar Group Geometry, Otto-von-Guericke-Universität Magdeburg, Germany.

Upcoming:

• 24/02/2025, Lines in geometries associated with finite buildings, Group Theory Seminar at UCLouvain, Louvain-La-Neuve, Belgium.

Curriculum Vitae:

• 2022 and ongoing: PhD student, Mathematics Münster Graduate School, Universität Münster.
• 2021-2022: Worked as an author and wrote a book about how norms and stereotypes prohibit equality. Find it here.
  
• 2020-2021: Worked as a software engineer. I was interested in and worked with: Go, Python, Java, Apache Spark, Apache Kafka, SQL, Terraform, REST, Containerisation, Bash, Git, Github.
• 2017-2020: Master of Science Mathematics, Universität Münster, Minor subject: Philosophy.
• 2013-2017: Bachelor of Science Mathematics, Universität Münster, Minor subject: Philosophy.

Research Stays & Visits:

• Nov 30 – Dec 22 2024: Visit to the University of Auckland, New Zealand; collaborative research with Jeroen Schillewaert and Hendrik Van Maldeghem.
• Sept 18 – Nov 28 2024: Research stay at Ghent University, Belgium; joint research with Hendrik Van Maldeghem.
• Jan 07 – Jan 20 2024: Visit to the University of Auckland, New Zealand; collaborative research with Jeroen Schillewaert and Hendrik Van Maldeghem.
• Nov 05 – Dec 22 2023: Research stay at Ghent University, Belgium; joint research with Hendrik Van Maldeghem.

Poster:

I created a poster for the Buildings 2024 conference, which is a comic strip that roughly summarizes what I did in my first 2 years of my PhD. You can find the pdf here. This poster was awarded the ANZIAM (Australia and New Zealand Industrial and Applied Mathematics) prize for Best Poster at the joint meeting of the NZMS, AustMS and AMS.

Teaching:

• Teaching assistant for Foundations in Analysis, Topology and Geometry (SS24)
• Tutor for Analysis I (WS19/20)
• Tutor for Linear Algebra II (SS19)
• Tutor for Mathematics For Physicists III (WS16/17)

* Tutor meaning a person who gives exercise sessions and grades the solutions of the students. Teaching assistant meaning a person who provides the exercises, solution sketches and coordinates between the tutors and the professor.

Miscellaneous:

• If you are interested in using GitHub for writing papers together or if you are interested to know, why this could make sense for you, then I have this little pdf that gives some reasons and can help to set it up: Get onto GitHub.
• I was organizer of the Buildings 2024 conference.
• I was organizer of the seminar (Tea Seminar) of the research group Geometry, Topology and Group Theory at the university of Münster for the summer term 2024.
• I get funding through the Dissertation Plus Scholarship of the Claussen-Simon-Stiftung and the Diversity Support Fellowship of the Cluster of Excellence Mathematics Münster.
• I am a member of the Fachgruppe Gender, Diversity and Sustainability in Mathematics of the German Mathematical Society since the 23rd of June 2023 and contact person for questions regarding trans identity and neurodiversity.
• I am a math ambassador of the Stiftung Rechnen since 2017.