PhD in mathematics (The University of Edinburgh, 2015)
Welcome to this obscure corner of the Web where I hang my hat.
I am a mathematician with research interests in Harmonic and Fourier analysis, elliptic PDEs, free boundary problems, lattice growth models, convex geometry, and approximation theory. My papers with short summaries are available in the Paper's section. I am also interested in image processing, machine learning, and natural language processing, see below for more details on my programming expertise.
I completed my PhD at School of Mathematics at The University of Edinburgh in June 2015 under the direction of Dr Aram Karakhanyan working on homogenization of Dirichlet problem for elliptic systems. I spend part of my 3 years at Edinburgh on research stays at Issac Newton Institute for Mathematical Sciences, Royal Institute of Technology (KTH) and Mittag-Leffler Institute.
What I currently do
Magaghat.ai is an online platform hosting tools based on mathematics, machine learning and software engineering for applications in Digital Humanities. Its flagship product, which is in very early beta version, is an image to text conversion software for extracting text written in classical Armenian (Grabar) from digital copies of ancient and medieval manuscripts. The platform also offers several tools for statistical analysis and data visualization, all currently operating on the data extracted from digitized of Armenian manuscripts. This is joint work with Ara Gasparyan.
SciLag is a free web-based platform for facilitating dynamic organisation, data analysis and visualization of mathematical problems at a research-level. It represents an online service for scientists for sharing their knowledge about the forefront of research and builds upon a tradition within the mathematical community of sharing open problems in research papers. This is joint with Andranik Aghajanyan, Lusine Karapetyan, and Henrik Shahgholian.
More on programming related expertise
I write programs in Python, VB.net, Julia, SQL, Visual Basic 6.0 and to a lesser extent in C++ and C#.
My favourite data structure is a Tree (all sorts of trees): its power over simplicity ratio is astonishing.
In the past I was a part of AleksLabs, creating software for business automation.
This fancy cloud of words (a.k.a. wordle) is built from math-related keywords of my papers with a program I wrote. My code is available at this repository and follows the general path outlined here by the original creator of wordle Jonathan Feinberg. By the way, Trees play an important role here too.