Public Lecture: Cryptography, Number Theory, and Quantum Mechanics

Speaker: 

Whitfield Diffie

Institution: 

Cryptomathic

Time: 

Monday, September 17, 2018 - 5:00pm to 6:00pm

Host: 

Location: 

DBH 6011

PUBLIC LECTURE

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.

Academic Teaching Careers in Mathematics

Speaker: 

Various Speakers

Institution: 

Various Institutions

Time: 

Monday, March 12, 2018 - 6:15pm to 7:30pm

Location: 

NS2 1201

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)

Galois action on homology of Fermat curves

Speaker: 

Rachel Pries

Institution: 

Colorado State University

Time: 

Saturday, October 1, 2016 - 11:30am to 12:30pm

Location: 

NSII 1201

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. 

One-parameter families of elliptic curves with non-zero average root number

Speaker: 

Chantal David

Institution: 

Concordia University

Time: 

Saturday, October 1, 2016 - 10:00am to 11:00am

Location: 

NSII 1201

We investigate in this talk the average root number (i.e. sign of the functional equa- tion) of one-parameter families of elliptic curves (i.e elliptic curves over Q(t), or elliptic surfaces over Q). For most one-parameter families of elliptic curves, the aver- age root number is predicted to be 0. Helfgott showed that under Chowla’s conjecture and the square-free conjecture, the average root number is 0 unless the curve has no place of multiplicative r eduction over Q(t). We then build families of elliptic curves with no place of multiplicative reduction, and compute the average root number of the families. Some families have periodic root number, giving a rational average, and some other families have an average root number which is expressed as an infinite Euler product. We also show several density results for the average root number of families of elliptic curves, and exhibit some surprising examples, for example, non- isotrivial families of elliptic curves with rank r over Q(t) and average root number −(−1)r, which were not found in previous literature. 

Speaker: 

Logic in Southern California

Time: 

Saturday, December 3, 2011 - 11:30am

Location: 

RH 440R

Logic in Southern California

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