Research Interests for Alan R. Parry

I'm interested in Differential Geometry and its applications to General Relativity. Most recently, I've been studying the effects of dark matter modeled as a scalar field. In particular, using the Einstein-Klein-Gordon equations to describe geometrically a general blob of dark matter and comparing this description to observations of Dwarf Spheroidal Galaxies, one of the smallest observed types of gravitationally bound objects that have a significant presence of dark matter.

In the past, I have studied Lie Algebras, in particular classifying solvable Lie algebras of small dimension. My master's thesis was on classifying such Lie algebras through dimension seven.

Keywords:

Differential Geometry, Geometric Analysis, General Relativity, Lie Algebras

Areas of Interest:

General Relativity
Geometric Analysis
Lie Algebras

Recent Publications

1. Alan R. Parry, A Classification of Real Indecomposable Solvable Lie Algebras of Small Dimension with Codimension One Nilradicals (August, 2007), Utah State University, Logan, UT (Master's Thesis.) [html]