I am a 2nd year mathematics graduate student at Stanford University. I'm being advised by Ciprian Manolescu. In May 2018 I graduated with a Bachelor of Science degree in mathematics and physics from the University of Auckland in New Zealand. A year later, I graduated with a Bachelor of Science (Honours) degree in mathematics at the same institution.
I think of the world as being built up of all sorts of shapes, primarily consisting of gloopy blobs. It's not clear what these "gloopy blobs" are, so we need a way to study them. This is where mathematics comes in, as it is simultaneously a language and toolkit for investigating intangible things. In mathematics these objects are formalised as manifolds, and encompass more familiar objects like knots, surfaces, and polyhedra. I'm open to all flavours of mathematics that further our understanding of manifolds, from algebra to PDE.
In addition to mathematics, I enjoy baking various breads, drawing meaningless art, and playing go.
Feel free to get in touch for any mathematical or non-mathematical advice if you feel like my advice might help!
Friends and Collaborators
Peter Huxford - maths graduate student at The University of Chicago, friend from The University of Auckland.
Mason Ng - astrophysics graduate student at MIT, friend from The University of Auckland.
Utsav Patel - physics graduate student at Duke University, friend from The University of Auckland.
Grad school application advice
As an international student, the graduate school application process was very confusing! I've compiled a short document here which contains some advice based on my experiences. Hopefully you find it useful! I suggest looking for advice from other sources as well. The aforementioned advice together with many of my raw application materials can be found in this zip file.
If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.
I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful.
Which Springer GTM would you be? The Springer GTM Test