My research is in the area of dynamical algebraic combinatorics. This is a branch of mathematics that studies the interactions between algebraic structures and combinatorial objects. This field investigates the actions on objects important in algebraic combinatorics. It is concerned with the ways in which algebraic methods can be used to understand and analyse combinatorial structures, or the use of combinatorial methods to study algebraic objects.

• Collaborate@ICERM, Brown University; 8.5.2023 - 12.5.2023.
• University of Waterloo; Oliver Pechenik, 20.1.2023 - 28.1.2023
• NDSU, Fargo; Jesscia Striker, 9.10.2023 - 15.10.2023
• USC; Joshua P. Swanson, 4.5.2022 - 6.5.2022
• UC Davis; Anne Schilling, Spring term 2022

• Stephan Pfannerer, A refinement of the Murnaghan-Nakayama rule by descents for border strip tableaux, Combinatorial Theory 2 (2022), no. 2.
• Per Alexandersson, Stephan Pfannerer, Martin Rubey, and Joakim Uhlin, Skew characters and cyclic sieving, Forum of Mathematics, Sigma 9 (2021), e41.
• Stephan Pfannerer, Martin Rubey, and Bruce Westbury, Promotion on oscillating and alternating tableaux and rotation of matchings and permutations, Algebraic Combinatorics 3 (2020), no. 1, 107-141

Preprints

• Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, Jessica Striker and Joshua Swanson, Rotation-invariant web bases from hourglass plabic graphs (2023)
• Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, Jessica Striker and Joshua Swanson, Promotion permutations for tableaux (2023)
• Joseph Pappe, Stephan Pfannerer, Anne Schilling, Mary Claire Simone, Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux (2022)

• An SL 4 web basis, talk, AG Diskrete Mathematik, Technische Universität Wien; 31.01.2023.
• An SL 4 web basis form hourglass plabic graphs, talk, Algebraic Combinatorics meets Combinatorial Algebra, University of Waterloo, CA; 20.01.2023 - 22.01.2023.
• Descents for border strip tableaux, talk, Algebra and Discrete Mathematics Seminar, NDSU; 12.10.2022.
• A mystery group action: An implicit cyclic sieving phenomenon for standard Young tableaux, talk, Summer School in Algebraic Combinatorics, Kraków, Poland; 11.07.2022 - 15.07.2022.
• Rotation and Promotion, talk, Algebra and Discrete Mathematics Seminar, UC Davis; 01.04.2022.
• Invariant Tensors and Chord Diagrams, online talk, Graduate Student Combinatorics Conference, UC San Diego, USA; 26.03.2022.
• Rotation and Promotion, online talk, Graduate Online Combinatorics Colloquium; 23.02.2022.
• Rotation and Promotion, talk, AG Diskrete Mathematik, Universität Wien; 25.01.2022.
• Skew characters and cyclic sieving, Poster, 33rd International Conference on Formal Power Series and Algebraic Combinatorics, Bar Ilan University, Ramat Gan, Israel; 10.01.2022 - 13.01.2022.
• A refinement of the Murnaghan–Nakayama rule by descents for border strip tableaux, Poster, 33rd International Conference on Formal Power Series and Algebraic Combinatorics, Bar Ilan University, Ramat Gan, Israel; 10.01.2022 - 13.01.2022.
• A refinement of the Murnaghan-Nakayama rule by descents for border strip tableaux, talk, AG Diskrete Mathematik, Universität Wien; 27.10.2020.
• A refinement of the Murnaghan-Nakayama rule by descents for border strip tableaux, online poster, An Algebraic Combinatorics Virtual Expedition, Hosted by University of Waterloo, Canada; 14.06.2021 - 15.06.2021.
• A mystery group action: An implicit cyclic sieving phenomenon for standard Young tableaux, online talk, Graduate Student Combinatorics Conference, University of Minnesota (Twin Cities), USA; 23.04.2021 - 25.04.2021.
• Standard young tableaux and the representation theory of the symmetric group, online talk, PhD Colloquium of the Vienna School of Mathematics, Universität Wien; 03.12.2020.
• A refinement of the Murnaghan-Nakayama rule by descents for border strip tableaux, talk, 85th Séminaire Lotharingien de Combinatorics, Strobl; 06.09.2020 - 09.09.2020.
• Promotion on oscillating and alternating tableaux and rotation of matchings and permutations, talk, 82nd Séminaire Lotharingien de Combinatorie, Curia, Portugal; 14.04.2019 - 17.04.2019.
• Promotion on oscillating and alternating tableaux and rotation of matchings and permutations, talk, AG Diskrete Mathematik, Technische Universität Wien; 08.01.2019.
• Promotion, Evacuation and Cactus Groups, Poster, 29th International Conference on Formal Power Series and Algebraic Combinatorics, London, United Kingdom; 09.07.2017 - 13.07.2017.