I am a fourth year PhD student in the Combinatorics Group at Queen Mary University of London under the supervision of Mark Walters.

My research concerns assorted topics in combinatorics and probability, with a recent emphasis on graph theory, specifically random graphs.

For example, most recently my supervisor and I investigated the emergence of certain spanning subgraphs in the Gilbert model for a random geometric graph — a random graph model of relevance to wireless networks in which randomly chosen points in a square are joined if they are within some fixed distance of each other.

### Recent News

- Oct 2017 — Began tutoring with The Access Project.
- Jul 2017 — Gave a workshop on "Potentials and Pebbling the Chessboard" at the QMUL Y11 Maths Summer School.
- Jul 2017 — Gave a contributed talk at the British Combinatorial Conference [slides].
- Jun 2017 — Prepared a project on "Permutation Puzzles and Parity" for the QMUL Y11 Maths Summer School.
- Apr 2017 — Spoke at the QMUL Mathematics PGR day [slides].
- Feb 2017 — Spoke at the Queen Mary Combinatorics Study Group on "The emergence of the square of the Hamilton cycle in random geometric graphs" [abstract].

### CV

Here is my CV (updated 21/11/2017).

### Papers

#### 2017

*Maximising the number of k-cycles in a Tournament*

Jack Bartley, A. Nicholas Day

[ in preparation ]

*Square Hamilton Cycles in Random Geometric Graphs*

Jack Bartley, Mark Walters

[ in preparation | slides: ( BCC 2017 | PGR Day 2017 ) ]

*Revolutionaries and Spies on random graphs*

Jack Bartley

[ in preparation | poster ]

### Selected talks

**British Combinatorial Conference — July 2017**

The emergence of the square of the Hamilton cycle in random geometric graphs

**Queen Mary Combinatorics Study Group — February 2017 **

The emergence of the square of the Hamilton cycle in random geometric graphs

**Queen Mary Internal Postgraduate Seminar**

The typical behaviour of two Pursuit-Evasion games — October 2016

How much room do you need to rotate a needle? The Kakeya conjecture and its relatives — September 2015

Random graphs and Sidorenko's conjecture — March 2015

### Teaching Experience

*Calculus II — MTH4101/4201*— Semester Two 2016-17

*Introduction to Probability — MTH4107/4207*— Semester Two 2016-17, Semester One 2017-2018

*Geometry I — MTH4103*— Semester Two 2015-16

*Introduction to Algebra — MTH4104*— Semester Two 2015-16, Semester Two 2016-17

*Number Theory — MTH6128*— Semester Two 2014-15

*Essential Mathematical Skills — MTH3100*— Semester Two 2014-15

*Electronic Engineering Mathematics — ECS408U*— Semester One 2014-15

### Outreach

**QMUL Y11 Maths Summer School — Summer 2017**

Prepared a project on "Permutation Puzzles and Parity".

Gave a workshop on "Potentials and Pebbling the Chessboard".