**Conference Talks and Presentations:**

Galois modules and embedding problems (poster), French-German summer school at U of Konstanz, 2015

Normal integral basis and realizable classes, WAM at IAS, 2015

An overview in the study of Galois modules, USTARS, 2014

Galois module structure of abelian extensions, WiMSoCal, 2013

**Seminar Talks:**

The inverse Galois problem over Q, UCSB, 2015

Normal integral basis and embedding problems, Keio U, 2015

Diophantine equations and the Hasse principle, UCSB, 2015

Galois modules and embedding problems, UCSB, 2015

Galois module structure of number fields, UCSB, 2014

Primes of the form x^2+ny^2, UCSB, 2014

Introduction to supercharacters and superclasses, UCSB, 2014

Realizable classes of tame abelian extensions, UCSB, 2014

Galois modules and realizable classes, UCSB, 2013

Public-key, private-key, and quantum cryptography, UCSB, 2013

Existence of a normal integral basis and ramification, UCSB, 2013

A brief review on tensor product of modules, UCSB, 2013

An overview of valuation theory, UCSB, 2012

Infinite Galois theory and profinite group topology, UCSB, 2012