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 Partition Functions: 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

• 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).

Academic career

Links