Nancy Childress

Nancy Childress

Associate Director for Undergraduate Programs and Associate Professor,
School of Mathematical and Statistical Sciences
  • [email protected]
  • Phone: 480-965-6504
  • ‌
  • PS A433 TEMPE, AZ 85287-1804
  • Mail code: 1804
    Campus: Tempe
  • ‌
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Long Bio

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
  • Childress,Nancy Ellen*. ARITHMETIC GEOMETRY WITH EMPHASIS IN IWASAWA THEORY. NSF(3/15/1993 - 11/30/1993).
Teaching Website URL
Teaching Website
Courses
2026 Spring
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
APM 799 Dissertation
MAT 792 Research
MAT 799 Dissertation
MAT 448 Cryptography II
MAT 495 Undergraduate Research
MAT 544 Abstract Algebra II
2025 Fall
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
MAT 543 Abstract Algebra I
MAT 484 Internship
MAT 591 Seminar
MAT 792 Research
STP 493 Honors Thesis
2025 Summer
Course Number Course Title
MAT 792 Research
MAT 792 Research
MAT 484 Internship
MAT 792 Research
MAT 795 Continuing Registration
MAT 484 Internship
MAT 799 Dissertation
MAT 799 Dissertation
2025 Spring
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 591 Seminar
APM 799 Dissertation
MAT 792 Research
MAT 799 Dissertation
MAT 495 Undergraduate Research
MAT 445 Theory of Numbers
2024 Fall
Course Number Course Title
MAT 447 Cryptography I
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
MAT 484 Internship
MAT 591 Seminar
MAT 792 Research
MAT 541 "p"-Adic Numbers
STP 493 Honors Thesis
2024 Summer
Course Number Course Title
MAT 792 Research
MAT 792 Research
MAT 484 Internship
MAT 792 Research
MAT 795 Continuing Registration
MAT 484 Internship
MAT 799 Dissertation
MAT 799 Dissertation
2024 Spring
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 591 Seminar
APM 799 Dissertation
MAT 792 Research
MAT 799 Dissertation
MAT 448 Cryptography II
MAT 495 Undergraduate Research
MAT 484 Internship
2023 Fall
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
MAT 484 Internship
MAT 591 Seminar
MAT 792 Research
MAT 547 Algebraic Number Theory
2023 Summer
Course Number Course Title
MAT 792 Research
MAT 792 Research
MAT 484 Internship
MAT 792 Research
MAT 795 Continuing Registration
MAT 484 Internship
MAT 799 Dissertation
2023 Spring
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 591 Seminar
APM 799 Dissertation
MAT 792 Research
MAT 799 Dissertation
MAT 448 Cryptography II
MAT 495 Undergraduate Research
MAT 484 Internship
MAT 544 Abstract Algebra II
2022 Fall
Course Number Course Title
MAT 447 Cryptography I
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
MAT 543 Abstract Algebra I
MAT 792 Research
2022 Summer
Course Number Course Title
MAT 792 Research
MAT 792 Research
MAT 792 Research
MAT 795 Continuing Registration
2022 Spring
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 591 Seminar
APM 799 Dissertation
MAT 792 Research
MAT 799 Dissertation
MAT 448 Cryptography II
MAT 495 Undergraduate Research
MAT 445 Theory of Numbers
MAT 298 Honors Directed Study
MAT 584 Internship
2021 Fall
Course Number Course Title
MAT 447 Cryptography I
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 590 Reading and Conference
MAT 300 Mathematical Structures
MAT 792 Research
MAT 799 Dissertation
MAT 792 Research
2021 Summer
Course Number Course Title
MAT 792 Research
MAT 792 Research
MAT 792 Research
MAT 795 Continuing Registration
MAT 792 Research
2021 Spring
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 591 Seminar
MAT 792 Research
MAT 799 Dissertation
MAT 448 Cryptography II
MAT 495 Undergraduate Research
MAT 544 Abstract Algebra II
MAT 298 Honors Directed Study
Expertise Areas
Theoretical Mathematics
Number Theory
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