My research lies at the intersection of representation theory, algebraic combinatorics and diagrammatic algebra. I develop combinatorial models that illuminate deep structures in quantum groups and invariant theory. My work has led to new diagrammatic bases, bijective correspondences, and connections to cyclic sieving, with applications ranging from statistical physics to quantum link invariants.

• UC Berkeley; Christian Gaetz, 23.4.2025 - 29.04.2025
• Collaborate@ICERM, Brown University; 8.5.2023 - 12.5.2023 and 22.1.2024 - 26.1.2024.
• 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

• Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, Jessica Striker and Joshua Swanson, Rotation-invariant web bases from hourglass plabic graphs, Inventiones Mathematicae, November 2025
• Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, Jessica Striker and Joshua Swanson, Web Bases in Degree Two From Hourglass Plabic Graphs, International Mathematics Research Notices, Volume 2025, Issue 13, July 2025
• Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, Jessica Striker and Joshua Swanson, Promotion permutations for tableaux, Combinatorial theory 4 (2) (2024), #15
• Joseph Pappe, Stephan Pfannerer, Anne Schilling, Mary Claire Simone, Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux, Journal of Algebra, Volume 655, 1 October 2024, Pages 794-842
• 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

• Stephan Pfannerer and Joshua Swanson, Promotion permutations and the Robinson--Schensted correspondence

• Promotion permutations and related constructions, Research seminar, University of Michigan, 09.2025
• Web Bases for Two-Column Tableaux from Hourglass Plabic Graphs, poster, FPSAC, Sapporo, 07.2025
• Growth rules for SL4-webs, CANADAM, 05.2025
• Super Major Index Cyclic Sieving, Research seminar, UC Berkely, 04.2025
• Rotation-invariant web bases from hourglass plabic
  graphs, Research seminar, UC San Diego, 04.2025
• Super Major Index Cyclic Sieving, Research seminar, USC, 04.2025
• Non-crossing partitions and webs, Recent Perspectives on Non-crossing Partitions through Algebra, Combinatorics, and Probability (Workshop), ESI Wien, 02.2025
• A mystery group action and the mystery statistic, Tutte Colloquium, University of Waterloo, 1.2025
• Rotation-invariant web bases from hourglass plabic graphs, Applied Algebra Seminar, York university, 12.2024
• Descents for Border Strip Tableaux, University of Waterloo Seminar, 11.2024
• An SL4-web basis from hourglass plabic graphs, Talk, ICECA, online, 09.2023
• An SL4-web basis from hourglass plabic graphs, Poster (presenting co-author), EUROCOMB, Prague, 08.2023
• An SL4-web basis from hourglass plabic graphs, Poster (presenting co-author), FPSAC, UC Davis, 07.2023
• Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux, Poster (Non presenting co-author), FPSAC, UC Davis, 07.2023
• The bijectionist’s toolkit, Software Demo, FPSAC, UC Davis, 07.2023
• 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.