Anna Geisler I am a PhD-student under the supervision of Prof. Mihyun Kang at Graz University of Technology in the field of Probabilistic Combinatorics. Research Field and Interests My interests include the following topics: Random Graphs and Randomized Processes: Phase Transitions, Hitting Times, Percolation, Bootstrap Percolation Statistical physics: Hardcore model, Ising model, Cluster expansion, Polymer models, Container method Get in touch Don't hesitate to come and talk to me, by email or in person. geisler [at] math [dot] tugraz [dot] at

Preprints

• Sampling from the antiferromagnetic Ising model on bipartite, regular expander graphs (with Mihyun Kang, Michail Sarantis, Ronen Wdowinski). submitted for publication. ArXiv.
• Counting independent sets in expanding bipartite regular graphs (with Mauricio Collares, Joshua Erde, Mihyun Kang). submitted for publication. ArXiv.
• Perfect matching in product graphs and in their random subgraphs (with Sahar Diskin). submitted for publication. ArXiv.
• Universal behaviour of majority bootstrap percolation on high-dimensional geometric graphs (with Mauricio Collares, Joshua Erde, Mihyun Kang). submitted for publication. ArXiv.

Publications

• Majority bootstrap percolation on the permutahedron and other high-dimensional graphs (with Mauricio Collares, Joshua Erde, Mihyun Kang). European Journal of Combinatorics (2026). Link.
• Counting independent sets in percolated graphs via the Ising model (with Mihyun Kang, Michail Sarantis, Ronen Wdowinski). Random Structures & Algorithms (2026). Link.
• Minimum degree k and k-connectedness usually arrive together (with Sahar Diskin). Discrete Mathematics (2025), Link.
• Shared memory consensus on a ring: Epigenetic Consensus (with Petra Berenbrink, Funda Ergun, Yannic Maus). International Conference on Distributed Computing Systems (ICDCS 2025).

Selected Talks

• Oberwolfach mini-workshop, Oberwolfach Institute, Germany, August 2026
• British Combinatorial Conference, Cardiff, United Kingdom, July 2026
• Research seminar, University of Heidelberg, Germany, June 2026
• SFB Status workshop, Austria, February 2026
• Seminar on Advanced Topics in Discrete Mathematics, TU Graz, Austria, January 2026
• Early Career Workshop on Combinatorics, IBS, Korea, October 2025
• Conference on Random Structures and Algorithms, Austria, August 2025
• Combinatorics Seminar, TU Graz, Austria, March 2025
• Combinatorics Seminar, TU Graz, Austria, October 2024
• Seminar on Advanced Topics in Discrete Mathematics, TU Graz, Austria, December 2023
• Discrete Math Meeting, Austria, November 2023
• Combinatorics Seminar, TU Graz, Austria, October 2023

Honours and Awards

• Oberwolfach Leibniz Graduate Students Grant (2026)
• Funding by Institute of Basic Sciences, Korea for participation in Early Career Workshop (2025)
• Funding by Simons Laufer Mathematical Science Institute for participation in workshops (2025)
• Associated student at the doctoral program on Discrete Mathematics (2023-2024)
• Scholarship for Bachelor and Master studies by German Academic Foundation (Studienstiftung des deutschen Volkes) (2016-2023)
• School Award for Mathematics by German Mathematics Association (Deutsche Mathematiker-Vereinigung) (2015)

Academic career

Teaching experience

• Exercise class: Discrete Mathematics for computer science (2026, TU Graz)
• Exercise class: Discrete Mathematics (2025, TU Graz)
• Exercise class: Linear Algebra I and II (2023-2026, TU Graz)
• Exercise class: Introduction to university mathematics (2023-2025, TU Graz)
• Exercise class: Mathematics for engineers (2023-2025, TU Graz)
• Exercise class: Linear Algebra I and II (2018-2019, University of Hamburg)

Links