S-STEM Scholar Josiah Kaiser's Blog

Here is the link to this week's blog, in which we discuss how we can utilize transinfinite point sets to demonstrate the equidecomposability of second and third-dimensional shapes.

Here is this weeks blog on the Equidecomposability of first-dimensional geometry!

 Here is the link to my blog post.   This week we will finish discussing the prerequisite set theory necessary to understanding the Banach-Tarski Theorem.

Here is the link to this week's blog post! I did not have the time to write about everything I planned to this week, but hopefully next week I can finish the discussion of set theory and move on to the geometry of the Banach-Tarski theorem.

Here is the link to the Google Document for this week's blog post. Unfortunately I am still unable to upload to Blogger due to the lack of support for mathematical notation. 

Unfortunately, Blogger is making it very difficult for me to retain the formatting of the mathematical notation in my writing when using their client. Due to this I will be hosting my blogpost for this week on Google Docs at this link while I work to find a longterm solution to this issue. I have enabled commenting on the document. I apologize for any inconvenience. 

Throughout the course of the last several months I have utilized several biology databases and much scientific literature to investigate the novel protein pirin and the PIR gene that encodes it. This week will be the apotheosis of my efforts, in which I will design a research project to conduct upon pirin that will, hopefully, help us to develop a better understanding of the protein. The question as to what type of experiment to design for pirin is an extremely broad one; over the course of this blog I have discussed pirin’s role as a transcriptional cofactor, its correlation with the maturation of myeloid hematopoietic cells and thereby its possible role in the development of leukemia, the potential for pirin to play a role in programmed cell death, and many other aspects of the protein that warrant further research ( The UniProt Consortium, 2021) . However, the research I wish to engage in revolves around pirin's potential to contribute to melanoma when decentralized from the cel...