"Innovative research on the choreography of both male and female chromosomes in early development" is currently going on at the Institute of Molecular and Cellular Biosciences, The University of Tokyo, according to the Cell Innovation website.
Stem cell research is a much talked about subject these days. At the Bayor College of Medicine, the science research project, "Adult and Embryonic Stem Cell Differentiation," is just one of many research projects that are currently happening.
A graduate student studying molecular biology at Muskingum University was said to do his science research project on "Micronutrient and Toxicity Determination and Genotypic Fingerprint of Gram Positive Bacteria Population on Reclaimed Strip Mined Soil from Ohio." This is an idea that you could use in any area of the United States.
Another Muskingum University grad student created her graduate school science research project on another molecular biology subject. This one was titled "Determination of the Relationship Between Gram Negative Bacterial Populations and Macronutrient Concentration of Reclaimed Mining Sites."
One idea for a graduate school science research project is one that is a quantitative school project. In this quantitative study, graduate students could opt to do a statistical comparison of tenure, salary and citation rankings for both male and female philosophy professors in the school.