Michael Savery

I am studying for a DPhil (PhD) in Mathematics at the University of Oxford under the supervision of Alex Scott. I work in combinatorics, more specifically extremal and probabilistic combinatorics. Before coming to Oxford I completed four years of undergraduate study in mathematics at Queens' College, Cambridge.

Email: lastname [at] maths.ox.ac.uk
Office: N0.07
My departmental webpage can be found here.

Research

Publications and preprints

10. Game connectivity and adaptive dynamics, submitted (with Tom Johnston, Alex Scott, and Bassel Tarbush)
9. Chromatic number is not tournament-local, Journal of Combinatorial Theory, Series B 168 (2024), 86-95 (with António Girão, Kevin Hendrey, Freddie Illingworth, Florian Lehner, Lukas Michel, and Raphael Steiner)
8. Flashes and rainbows in tournaments, Combinatorica 44 (2024), 675-690 (with António Girão, Freddie Illingworth, Lukas Michel, and Alex Scott)
7. A note on interval colourings of graphs, European Journal of Combinatorics 120 (2024), 103956 (with Maria Axenovich, António Girão, Lawrence Hollom, Julien Portier, Emil Powierski, Youri Tamitegama, and Leo Versteegen)
6. Invertibility of digraphs and tournaments, SIAM Journal on Discrete Mathematics 38 (2024), 327-347 (with Noga Alon, Emil Powierski, Alex Scott, and Elizabeth Wilmer)
5. Improved bounds for 1-independent percolation on ℤⁿ, submitted (with Paul Balister, Tom Johnston, and Alex Scott)
4. Induced subgraphs of induced subgraphs of large chromatic number, Combinatorica 44 (2024), 37-62 (with António Girão, Freddie Illingworth, Emil Powierski, Alex Scott, Youri Tamitegama, and Jane Tan)
3. Planar graphs with the maximum number of induced 6-cycles, Electronic Journal of Combinatorics 30 (2023), P4.6
2. Planar graphs with the maximum number of induced 4-cycles or 5-cycles, Graphs and Combinatorics 40 (2024), 46
1. Chromatic number is Ramsey distinguishing, Journal of Graph Theory 99 (2022), 152-161

I have had the pleasure of co-authoring with Noga Alon, Maria Axenovich, Paul Balister, António Girão (4), Kevin Hendrey, Lawrence Hollom, Freddie Illingworth (3), Tom Johnston (2), Florian Lehner, Lukas Michel (2), Julien Portier, Emil Powierski (3), Alex Scott (5), Raphael Steiner, Youri Tamitegama (2), Jane Tan, Bassel Tarbush, Leo Versteegen, and Elizabeth Wilmer.

Invited talks

March 2024, Graz Combinatorics Seminar
October 2023, UCL Combinatorics Seminar
October 2023, Combinatorics Seminar, University of Warwick
February 2023, Discrete Mathematics seminar, KIT
February 2023, Combinatorics seminar, University of Bristol
November 2022, PhD Seminar on Combinatorics, Games and Optimisation, LSE
October 2022, Combinatorial Theory seminar, University of Oxford (with Paul Balister)
October 2022, Percolation Today seminar (with Paul Balister)
September 2022, GT Graphes et Optimisation, LaBRI, Bordeaux
July 2022, Induced subgraphs minisymposium, 29^th British Combinatorial Conference
April 2022, Virtual Discrete Math Colloquium, IBS, South Korea
November 2021, University of Victoria Discrete Math Seminar

Teaching

I have been involved in delivering a variety of undergraduate courses at the University of Oxford as detailed below.

2023–2024:

Tutor for 2^nd year Integration

2022–2023:

Tutor for 2^nd year Integration
Tutor for 4^th year Probabilistic Combinatorics

2021–2022:

TA for 1^st year Analysis I
Tutor for 4^th year Probabilistic Combinatorics

2020–2021:

TA for 2^nd year Metric Spaces and Complex Analysis
TA for 4^th year Combinatorics
Tutor for 2^nd year Integration
TA for 4^th year Probabilistic Combinatorics