Nancy Childress

Associate Professor
Faculty
TEMPE Campus
Mailcode
1804

Biography

Nancy Childress works in algebraic number theory and p-adic analysis. Number theory is one of the oldest branches of mathematics. Algebraic number theory, which employs the theory of abstract algebraic structures as a means to study properties of the integers, is more modern, as is the theory of p-adic analysis, wherein the notion of distance is redefined so that it encodes information about divisibility of integers by a given prime.

Historically, number theory was viewed as a purely theoretical pursuit. Currently, it plays a central role in cryptology and digital communications. Application of p-adic analysis to quantum mechanics is a contemporary topic of research within the physics community.

In addition to papers on algebraic number theory and p-adic analysis, Childress has authored a graduate text on class field theory, and has co-edited a collection of research articles in arithmetic geometry.

Education

Ph.D. The Ohio State University 1985

Research Activity

Teaching Website

Courses

Summer 2019
Course Number Course Title
MAT 792 Research
Spring 2019
Course Number Course Title
MAT 298 Honors Directed Study
MAT 300 Mathematical Structures
MAT 445 Theory of Numbers
MAT 492 Honors Directed Study
STP 492 Honors Directed Study
STP 493 Honors Thesis
MAT 493 Honors Thesis
MAT 495 Undergraduate Research
MAT 499 Individualized Instruction
MAT 591 Seminar
MAT 792 Research
MAT 799 Dissertation
Fall 2018
Course Number Course Title
MAT 447 Cryptography I
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 545 Abstract Algebra III
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
Summer 2018
Course Number Course Title
MAT 792 Research
Spring 2018
Course Number Course Title
MAT 298 Honors Directed Study
STP 492 Honors Directed Study
MAT 492 Honors Directed Study
STP 493 Honors Thesis
MAT 493 Honors Thesis
MAT 495 Undergraduate Research
MAT 541 "p"-Adic Numbers
MAT 544 Abstract Algebra II
MAT 591 Seminar
MAT 792 Research
MAT 799 Dissertation
Fall 2017
Course Number Course Title
MAT 447 Cryptography I
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 543 Abstract Algebra I
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
Summer 2017
Course Number Course Title
MAT 792 Research
Spring 2017
Course Number Course Title
MAT 298 Honors Directed Study
MAT 444 Intermediate Abstract Algebra
MAT 448 Cryptography II
MAT 492 Honors Directed Study
STP 492 Honors Directed Study
STP 493 Honors Thesis
MAT 493 Honors Thesis
MAT 495 Undergraduate Research
MAT 591 Seminar
MAT 792 Research
MAT 799 Dissertation
Fall 2016
Course Number Course Title
MAT 300 Mathematical Structures
MAT 447 Cryptography I
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
Summer 2016
Course Number Course Title
MAT 792 Research
Spring 2016
Course Number Course Title
MAT 300 Mathematical Structures
MAT 493 Honors Thesis
MAT 495 Undergraduate Research
MAT 591 Seminar
MAT 598 Special Topics
MAT 792 Research
MAT 799 Dissertation
Fall 2015
Course Number Course Title
MAT 493 Honors Thesis
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
Summer 2015
Course Number Course Title
MAT 484 Internship
MAT 792 Research
Spring 2015
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 495 Undergraduate Research
MAT 499 Individualized Instruction
MAT 591 Seminar
MAT 792 Research
MAT 799 Dissertation
Fall 2014
Course Number Course Title
MAT 191 First-Year Seminar
MAT 447 Cryptography
MAT 484 Internship
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 494 Special Topics
MAT 499 Individualized Instruction
MAT 545 Abstract Algebra III
MAT 590 Reading and Conference
MAT 591 Seminar
MAT 792 Research
MAT 799 Dissertation