Abstract: Exploring the early universe
The temporal evolution of the early universe is characterized by its temperature dependent particle composition. The properties of each epoch were dominated by distinct physical processes as different forms of matter and particles arose or vanished from the inventory. Understanding the plasmas of the early universe allows us to understand the composition and properties of the Universe at large today. Physical problems such as these stimulate the invention of new mathematical methods, I will mention two recent advancements in the tools: improvements to solving Boltzmann equation (involving applied math student) and a novel separation of the finite and zero-temperature portions of the Fermi-Dirac distribution. Methods like these are needed to reconsider the Big Bang Nucleosynthesis in plasma environment which is on our interest horizon today.