STEP #1 - Use Centennial Library's MathSciNet, as well as Web of Science, Math ArXive, Google Scholar and others to begin your research and to identify current background information, news, videos and and related links to scholarly journals. Make sure to take notes (subtopics, key words, title, author, important ideas) and save your sources (make sure to use permalinks and not the search URL).
Tip #2
Tip #3
Tip #4
Tip #5
STEP #5 - Take time to visit the CU Writing Center for extra support and to sign up for a Writing Session to help improve your writing.