Lars Göttgens PhD student in representation theory Chair for Algebra and Representation Theory RWTH Aachen University Pontdriesch 14/16 52062 Aachen Office: room 404 Email: goettgens (at) art (dot) rwth-aachen (dot) de Phone: +49 241 80-92556

Research

• PhD topic: Combinatorial and computer algebraic methods for PBW deformations and their representations
• Development of the software project OSCAR

Past:

• 2020-2023: Student Assistent for the SFB-TRR 195 "Symbolic Tools in Mathematics and their Application" with Johannes Flake. Working on PolyBases.jl and PBWDeformations.jl
• Fall 2020: Research internship: Gröbner Bases for Fusion Products; The case n=3. with Ghislain Fourier and Johannes Flake
• Master thesis: Dynamic Programming on Shrub-Depth Decompositions with Peter Rossmanith
• Bachelor thesis: Connections between Graph Logic, Second-Order Logic and Logics with Team Semantics with Prof. Dr. Erich Grädel

Teaching

• Summer Term 2024: Algebraic Geometry, Teaching Assistent for Prof. Dr. Ghislain Fourier
• Summer Term 2024: Hands-On Workshops II, Teaching Assistent for Prof. Dr. Ghislain Fourier
• Winter Term 2023/24: Lie algebras, Teaching Assistent for Prof. Dr. Ghislain Fourier
• Winter Term 2023/24: Hands-On Workshops I, Teaching Assistent for Prof. Dr. Ghislain Fourier
• Summer Term 2023: Seminar "Quiver representations", Teaching Assistent for Prof. Dr. Ghislain Fourier
• Summer Term 2023: Hands-On Workshops II, Teaching Assistent for Prof. Dr. Ghislain Fourier
• Winter Term 2020/21: Analysis for Computer Scientists, Student Assistent for Prof. Dr. Ghislain Fourier
• Summer Term 2020: Numerical Analysis II, Student Assistent for Prof. Dr. Lars Grasedyck
• Summer Term 2020: Practical Course in Mathematics, Student Assistent for Dr. Sven Groß
• Winter Term 2019/20: Numerical Analysis I, Student Assistent for Prof. Dr. Lars Grasedyck
• Winter Term 2019/20: Practical Course in Mathematics, Student Assistent for Dr. Sven Groß
• Summer Term 2019: Linear Algebra for Computer Scientists, Student Assistent for Prof. Dr. Gerhard Hiß
• Winter Term 2018/19: Discrete Structures, Student Assistent for Prof. Dr. Gerhard Hiß

Conferences and Seminars

• ICMS 2024, Jul 22-25 2024, Durham
• Workshop: Representations of supergroups, Jul 1-5 2024, Bonn
• ARTIG #4, Jun 14-15 2024, Aachen
  Talk: PBW deformations of U(g) smash products in OSCAR
• Flash Talks in Representation Theory at NTNU, Jan 5 2024, online
• Representation Theory in Cologne, Dec 8-9 2023, Cologne
• Representation Theory and Non-Commutative Geometry / ARTIG 3, Dec 1-2 2023, Paderborn
• Third Annual Meeting of the SFB-TRR 195, Sep 25-28 2023, Saarbrücken
• IRTG Joint Block Seminar on Category Theory, Sep 18-22 2023, Trippstadt
• ARTIG 2, 23.-24. Jun 2023, Stuttgart
• Summer School "Quadratic forms and applications in algebraic geometry", May 30 - Jun 2 2023, Aachen
• Flash Talks in Representation Theory at NTNU, Jan 6 2023, online
• Nikolaus school "Computational Geometry", Nov 23 - Dec 01 2022, Kaiserslautern
• 5th ABCD (Aachen-Bochum-Cologne-Darstellungstheorie)-Seminar, Jul 12 2022, Aachen
• Flash Talks in Representation Theory at NTNU, Jan 4 2022, online
• Fifth annual conference of the SFB-TRR 195, Sep 13-16 2021, online
• Summer School "Computer algebra", Sep 6-10 2021, online
• Workshop on Logics of Dependence and Independence (LoDE 2020V), Aug 10-12 2020, online

Misc

• GitHub: lgoettgens
• GitLab: lgoe