I am a third 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 with applications 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

- 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 15/7/2017).

### Papers

#### 2017

*Revolutionaries and Spies on random graphs*

Jack Bartley

[in preparation|poster]

*Square Hamilton Cycles in Random Geometric Graphs*

Jack Bartley, Mark Walters

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

### Seminars

**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

### Voice Recognition

Coming soon.### Teaching Experience

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

*Introduction to Probability -- MTH4107/4207*-- Semester Two 2016-17

*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".