## Robert van den Hoogen as a Researcher

My research involves the mathematical analysis of the universe; otherwise known as Mathematical Cosmology. Cosmology is the study of the large scale structure of the universe and how it evolves. (Note, this is not to be confused with cosmetology.) In the past my research employed techniques from dynamical systems theory and applied them to the study of cosmological models. Typical questions that can be answered using these techniques include for example: "Is the standard widely accepted cosmological model sufficient to describe the entire evolution of our universe?"

Recently, my research focus has evolved to include the study of the averaging problem in General Relativity and Cosmology. Dr. Roustam Zalaletdinov, a visiting professor to St F.X. in January 2005 and the recipient of the W.F. James Chair in Pure and Applied Sciences, developed a covariant averaging procedure that can be used to study the averaged properties of relativistic and cosmological models. During Dr. Zalaletdinov's tenure at St. F.X., I became aware of the shortcomings of the standard approach to cosmology. A typical question that one would like to answer might be: "Is the averaged evolution of the lumpy (inhomogeneous) universe the same as the evolution of the averaged or smooth (homogeneous) universe?" The answer is certainly not obvious.

If you're still interested in my research, take a look at my Publications most of which have been published in scientific journals.

Alternatively, my research profile is available here orcid.org/0000-0003-2403-3176

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