Explore the intersection of mathematics and cryptography in this conference talk from Bloomcon 2017. Delve into modern factoring techniques, complexity analysis, and the state-of-the-art processes used in cryptographic systems. Discover the concept of "This Really Big Number" and its implications, examine Cohen's Criterion, and understand the two types of cryptographers. Investigate the role of keys in securing digital realms and discuss the impact of cryptography on the Internet of Things. Gain insights into cutting-edge developments in the field and participate in a Q&A session to further your understanding of math's crucial role in modern cryptography.