About me
Within mathematics
I am currently an Assistant Professor of Applied Mathematics at Wichita State University. I graduated with a PhD in Mathematics under the supervision of Prof Darren Crowdy at Imperial College London, and subsequently held postdoctoral positions at Macquarie University Sydney (as lecturer and ARC DECRA Fellow), the Queensland University of Technology (as a Postdoctoral Research Fellow), the University of California San Diego (as a Lindemann Trust Fellow) and Imperial College London (as an EPSRC Doctoral Prize Fellow).
My research interests are, broadly speaking:
- Complex variable theory
- Ideal fluid mechanics.
In particular:
- Potential theory
- Free boundary problems
- Vortex dynamics
- Hele-Shaw flows
- Numerical conformal mapping.
I’m interested in all the above topics particularly when they concern multiply connected domains. I was trained during my time as a graduate student by Prof Darren Crowdy to use a special function called the Schottky-Klein prime function which is a natural object to use in multiply connected domains because it encodes the geometry in its very definition regardless of the connectivity. It has been shown to be expedient to employ this special function to construct many closed form analytical solutions to various problems set in multiply connected domains; moreover, it can be computed to high accuracy in a straightforward way.
I am currently working on projects with the following researchers:
- Dr Christopher Lustri (Macquarie University, Sydney NSW, Australia)
- Prof Scott McCue (Queensland University of Technology, Brisbane QLD, Australia)
- Prof Mohamed Nasser (Qatar University, Doha, Qatar)
- Prof Takashi Sakajo (Kyoto University, Kyoto, Japan)
- Dr Marie Snipes (Kenyon College, Gambier OH, USA)
- Dr Justin Tzou (Macquarie University, Sydney NSW, Australia)
- A/Prof Lesley Ward (University of South Australia, Mawson Lakes SA, Australia).
Outside mathematics
I am interested in all-things aviation. Some of my most memorable experiences over the years have been various pleasure flights in several iconic locations around the world, as well as clocking-up a few flying hours on the flight deck of light aircraft. I have also flown supersonic between London and New York on a British Airways Concorde, and was one of the first people to fly on both the Airbus A380 and Boeing 787.
I love the journey to a place as much as the place itself, particularly when it involves an aircraft. Over the past 10 years I have travelled over 1.1 million kilometres by air (thanks to flightmemory.com for producing such figures!), and visited 41 countries on 6 continents. I think travelling is one of the best things anyone can do in life, and for me it’s a real pleasure for both work and leisure. Some of my favourite places include the Hawaiian Islands, Mauritius, New Zealand and Namibia.
I enjoy motorsport and Formula 1. I've raced in several go-karting tournaments in the UK, and even won a few. I've spectated live F1 races in Kuala Lumpur, Malaysia, and Silverstone, UK. I have also driven sports cars on the Yas Marina circuit in Abu Dhabi, UAE.
I speak moderately good French, and always practice when I can. I’m an amateur photographer, and can always be relied upon to generate many (too many, perhaps) shots of various things. I love learning about wine, particularly reds from the southern hemisphere. I also thoroughly enjoy sampling various culinary delights when eating-out in fine-dining restaurants. I try and replicate what I’ve eaten when out in my own kitchen, often with not much success (but at least I can usually pair-up a good wine with the food).
