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Table of Contents
Macquarie University, Sydney
Doctor of Philosophy in Mathematics 2011-2015
Christ's College, University of Cambridge
Part III Mathematics (MMATH) 2010-2011
Bachelor's degree in Mathematics (BA) 2007-2010
Jan 2020 - Present
Senior software developer (11 months); Director of technology (Current)
- Designed, developed and distributed a cross-platform mobile and web application to combine existing textbook content with new interactive questions. Used TypeScript, webpack and Capacitor to create web, iOS and Android applications. Authentication and authorisation using AdonisJs.
- Created a local development environment for an existing Java web application. Used Docker, NGINX and Firejail to locally develop features that spanned multiple production servers.
- Constructed a Web API for automatically scheduling examinations. Used Java Servlets and MySQL.
- Designed a grade book interface which allows instructors to specify a custom weighted marking algorithm.
Cybera Data Science Fellowship
Data science fellow
- Collaborated with an industry partner to clean, explore and analyse 7 years of live events data stored in a PostgreSQL database whose largest table had 13 million entries.
- Used Python scripts and Jupyter notebooks for data cleaning and exploration. Used the R programming language for data analysis and modelling.
- Used the plotly express visualisation library for histograms, scatter plots, box plots, choropleth maps etc.. Constructed a generalised linear model (GLM) for analysing count data and a log linear model for analysing sales data.
University of Calgary
Sep 2017-Sep 2019
- Designed and completed projects in pure mathematics and computer science leading to publication in a peer-reviewed journal.
- Used Coq programming language in seminar series on HoTT and proof of result in category theory.
- Mentored two PhD students. Reviewed two papers for mathematics journals.
- Organised the University of Calgary Peripatetic Seminar (Dec 2017-May 2019) and chaired a session of the Alberta Mathematics Dialogue 2018.
- Used Jupyter notebooks to lecture 4 classes of around 230 students each.
Jun 2016-Aug 2017
Software engineer (5 months); Chief technology officer (9 months)
- Developed a cross-platform mobile and desktop application to teach A-level mathematics using interactive graphs, videos and integrated testing. Used F#, .NET and Xamarin.
- Created a web front-end and API for teachers to track student progress.
- Showcased application at the BETT education technology conference.
Debate Chamber Ltd.
Jul 2016-Aug 2016
Summer school tutor
- Guided classes of around 14 A-level students through university level material using a combination of presentations, exercises and group work.
Masaryk University, Brno
Oct 2015-Nov 2015
Visiting postdoctoral researcher
- Plenary speaker at the multi-disciplinary Eduard Cech Institute Workshop.
Macquarie University, Sydney
Jan 2012-Dec 2013
- Demonstrated solutions on the whiteboard for three undergraduate mathematics courses.
- Guided and motivated first year students at the drop-in centre.
- Fog of war chess: Library to play a variant of chess in which the player can only see squares to which they can move. Proof of concept at fogofwarchess.com.
- Advent of code 2019: (https://github.com/mwpb/adventOfCode2019) Java solutions to all problems in the 2019 advent of code.
- Colimits in Coq: Computer verification of a result in category theory using the coq proof assistant. Available at https://github.com/mwpb/postulated-colimits-in-coq.
- Java prettier formatter: A formatter for Java files that uses the Prettier formatter. Available at https://marketplace.visualstudio.com.
- Cryptopals challenges: (https://github.com/mwpb/matasano-go) Solutions written in Go. Work in progress: currently first three sets completed.
- Kaggle Box Office Predictions: (https://github.com/mwpb/kaggle-projects) Competition to predict the revenue of films. Uses IPython and Google Colab.
Professional development and prizes
2018: Mitacs online workshop: Managing Project Timelines
2016: University of Michigan on Coursera: Using Python to Access Web Data
2016: University of Michigan on Coursera: Using Databases with Python
2008: Christ's College Whelan Prize for First Class Examination Performance
- Tangent infinity-categories and Goodwillie calculus. Joint with Kristine Bauer and Michael Ching. Available at arXiv.
- Involution algebroids: a generalisation of Lie algebroids for tangent categories. Joint with Benjamin MacAdam. Available at arXiv.
- A Synthetic Version of Lie’s Second Theorem. Applied Categorical Structures, 2018.02.06. Available at arXiv and publisher.
- Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry. Symmetry, Integrability and Geometry: Methods and Applications, 2016.06.29. Available at arXiv and publisher.