Dr Jane Tan
Mathematics
Post-Doctoral Research Fellow since 2023
I am a Post-Doctoral Research Fellow at All Souls College and an affiliate researcher at the Mathematical Institute, University of Oxford. I completed my DPhil (PhD) in Mathematics at Oxford working in combinatorics. My thesis, on Graph Reconstruction and Structure, was supervised by Alex Scott. Previously, I was an undergraduate at the Australian National University where I was supervised by Brendan McKay. I have broad interests within combinatorics. My current projects focus on reconstruction problems (of graphs as well as other mathematical objects), structural graph theory, extremal problems, probabilistic methods, and questions at the interface of combinatorics and geometry or topology.
Selected Publications
Canonical labelling of random regular graphs, arXiv:2602.17567 (to appear in ICALP 2026), with Mikhail Isaev, Tamás Makai, Brendan McKay, Pawel Pralat, and Maksim Zhukovskii
Packing subdivisions into regular graphs, arxiv:2508.00480, with Richard Montgomery, Kalina Petrova, and Arjun Ranganathan.
Colouring t-perfect graphs, arXiv:2412.17735, with Maria Chudnovsky, Linda Cook, James Davies and Sang-il Oum.
When t-intersecting hypergraphs admit bounded c-strong colourings, arXiv:2406.13402, with Kevin Hendrey, Freddie Illingworth and Nina Kamčev.
Induced subgraphs of induced subgraphs of large chromatic number, arXiv:2203.03612, Combinatorica, 44, 2024, with António Girão, Freddie Illingworth, Emil Powierski, Michael Savery, Alex Scott and Youri Tamitegama
Reconstruction from smaller cards, arXiv:2103.13359, Israel Journal of Mathematics 2025 (vol TBD),with Carla Groenland, Tom Johnston and Alex Scott.