Once I (hopefully soon) have an industry job I will most likely not have time to maintain Abelfunctions. Is anyone out there interested in taking over?
Learning about Sage's complex datatypes and measuring function evaluation performance.
The period matrix of a genus 43 curve.
Computing a basis for the space of holomorphic differentials of a genus 43 curve.
A talk I gave for the Numerical Analysis Research Club (NARC) at the University of Washington on Smale's alpha theory.
A talk I gave a while ago about how to give a mathematical talk.
An amusing quote from a New York Times article about what it's like doing math research.
An introductory talk I gave for the Data Science Seminar in the Math department at the UW on using git and Github.
A talk I gave for undergraduates at Seattle University about Newton iteration and Smale's alpha theory for root finding.
A cute little picture I created for an upcoming talk at Seattle University.
Some object-oriented programming thoughts applied to computing the valuation divisor of a differential.
Examining and resolving some performance issues in localizing holomorphic differentials at discriminant places.
Some musings about how best to approach implementing the Abel map.
Vinayak Vatsal of UBC heard about my implementation of Riemann theta in Python and asked if I could compute a couple things.
Now that I'm done with my general and will be focusing solely on research for the remainder of my Ph.D., I begin a new series of posts where I describe my research goals for each quarter starting with Spring 2014.
I gave and subsequently passed my general examination at the end of the Winter quarter.
I'm studying proper object oriented design so as to make abelfunctions easier to use and develop. Here I share some thoughts on the (ongoing) matter.
We gave a brief introduction of ourselves on the first day of the Summer 2013 Clawpack code jam. This is my intro.
Some initial thoughts on Anaconda, a new, alternative scientific Python distribution.
I describe how to compute a basis of holomorphic differentials on a Riemann Surface using tools in Sympy.
I was an invited speaker for North Carolina State University's Symbolic Computation Seminar where I gave a talk about my software, abelfunctions. A shorter version of this talk was given at the IMACS Waves 2013 conference in Athens, Georgia.
A demonstration of computing Puiseux series at places on Riemann surfaces and integral bases of algebraic function fields in abelfunctions.
Introducing my code, abelfunctions, which is the center of most of my research and work.
The research proposal I sent to the National Science Foundation when I applied for the Graduate Research Fellowship. It is a semi-technical description of what my research is about.
A poster I presented at the ICMS workshop "The higher-genus sigma function and applications" in Edinburgh.
A brief introduction to Riemann theta functions and why they are important.
The presentation I gave for my masters degree in applied mathematics.
A description of research programs that interest me in the Applied Mathematics department.