The 1970s saw an explosion in the development of cryptography that vastly expanded the role of number theory in cryptography. Now, that role stands threatened by developments in quantum computing. We will trace cryptography from its origins to its explosive growth in the 20th century and its contemporary challenges.
Are you interested in a teaching career at the college level? Teaching positions are found at a variety of academic institutions that include research universities, teaching universities, liberal art colleges, as well as community and private colleges. What are the expectations at these different type of institutions? What are the specificities of the these environments? Come and find out with us at the panel discussion on "Academic Teaching Careers in Mathematics" featuring: - Neil Donaldson (Lecturer, UCI) - Patrick Guidotti (Professor, UCI) - Chris Marx (Faculty, Oberlin College) - Son Nguyen (Adjunct Faculty, Coast Community College) - Alessandra Pantano (Professor of Teaching, UCI) - Melinda Schulteis (Faculty, Concordia University Irvine)
We prove a result about the Galois module structure of the Fermat curve using commutative algebra, number theory, and algebraic topology. Specifically, we extend work of Anderson about the action of the absolute Galois group of a cyclotomic field on a relative homology group of the Fermat curve. By finding explicit formulae for this action, we determine the maps between several Galois cohomology groups which arise in connection with obstructions for rational points on the generalized Jacobian. Heisenberg extensions play a key role in the result. This is joint work with R. Davis, V. Stojanoska, and K. Wickelgren.