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Biography:
John Jones joined ASU in 1990 after completing a postdoctoral appointment at the University of Texas at Austin. His work is in algebraic number theory. Early work centered around extra zeros and the mysterious L-invariant for Iwasawa L-functions associated to elliptic curves and abelian varieties. More recent research involves computations of number fields, local fields, and Artin representations. Results of these number theoretic computations have lasting value. Jones was one of the first mathematicians to disseminate this sort of result through the web.
In teaching, Jones has been at the forefront of several movements in the teaching of higher level mathematics: calculus reform, discovery-mode learning, and the development of a web-based homework system for grading math homework.
Education:
Ph.D. Harvard University, Cambridge, MA 1987
Publications:
- John Jones and David Roberts. Artin L-functions of small conductor. Research in Number Theory (2017).
- John Jones and David Roberts. A database of number fields. London Math. Soc. Journal of Computation and Mathematics (2014).
- John Jones and David Roberts. The tame-wild principle for discriminant relations for number fields. Algebra and Number Theory (2014).
- John Jones. Minimal Solvable Nonic Fields. LMS J. Computation and Mathematics (2013).
- John Jones and Rachel Wallington. Number fields with solvable Galois groups and small Galois root discriminants. Math. Comp (2012).
- John Jones. Wild ramification bounds and simple group Galois extensions ramified only at 2. Proc. AMS (2011).
- Eric Driver and John Jones. Minimum discriminants of imprimitive decic fields. Experimental Mathematics (2010).
- John Jones. Number fields unramified away from 2. Journal of Number Theory (2010).
- Eric Driver and John Jones. A targeted Martinet search. Mathematics of Computation (2009).
- John Jones and David Roberts. Octic 2-adic fields. Journal of Number Theory (2008).
- John Jones and Philip Leonard. $\Z$-cyclic whist tournaments for $q^2$ players. Journal of Combinatorial Mathematics and Combinatorial Computing (2008).
- John Jones and David Roberts. Number fields ramifying at one prime. Springer LNCS (2008).
- John Jones and David Roberts. Galois number fields with small root discriminant. Journal of Number Theory (2007).
- John Jones and David Roberts. A Database of local fields. Journal of Symbolic Computation (2006).
- John Jones and David Roberts. Nonic 3-adic fields. in ANTS VI, Springer Lecture Notes in Computer Science, 3076, 293-308 (2004).
- John Jones and David Roberts. Septic fields with discriminant $\pm 2^a 3^b$. Math Comp., 72, (2003).
Research Activity:
- Jones,John W*. Connections between curves automorphic forms and L-functions: Particiapant support. NSF-MPS-DMS(1/1/2014 - 12/31/2014).
- Jones,John W*. Collaborative Research: Updating the WeBWorK National Problem Library. NSF-EHR-DUE(9/1/2012 - 8/31/2016).
- Jones,John W*. COLLABORATIVE PROJECT: A COMPREHENSIVE WEBWORK PROBLEM LIBRARY. NSF-EHR(2/1/2004 - 1/31/2008).
- Jones,John W*. WEB-BASED MATH HOMEWORK. NSF-EHR(5/1/2002 - 4/30/2006).
- Jones,John W*. REVITALIZING UNDERGRADUATE NUMBER THEORY. RANDOLF MACON(8/1/1997 - 5/31/1999).
- Jones,John W*. REVITALIZING UNDERGRADUATE NUMBER THEORY. MICHIGAN TECHNICAL UNIV(6/1/1996 - 6/13/1997).
- Jones,John W*. MATHEMATICAL SCIENCES:TOPICS IN JWASAWA THEORY. NSF(6/1/1991 - 11/30/1993).
Teaching Website URL:
| Summer 2022 | |
|---|---|
| Course Number | Course Title |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| Spring 2022 | |
|---|---|
| Course Number | Course Title |
| MAT 444 | Intermediate Abstract Algebra |
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
| Fall 2021 | |
|---|---|
| Course Number | Course Title |
| MAT 371 | Advanced Calculus I |
| MAT 442 | Advanced Linear Algebra |
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| Summer 2021 | |
|---|---|
| Course Number | Course Title |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| Spring 2021 | |
|---|---|
| Course Number | Course Title |
| MAT 444 | Intermediate Abstract Algebra |
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
| Fall 2020 | |
|---|---|
| Course Number | Course Title |
| MAT 300 | Mathematical Structures |
| MAT 447 | Cryptography I |
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
| Summer 2020 | |
|---|---|
| Course Number | Course Title |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| Spring 2020 | |
|---|---|
| Course Number | Course Title |
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 544 | Abstract Algebra II |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
| Fall 2019 | |
|---|---|
| Course Number | Course Title |
| MAT 440 | Group Theory |
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 543 | Abstract Algebra I |
| MAT 591 | Seminar |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
| Summer 2019 | |
|---|---|
| Course Number | Course Title |
| MAT 792 | Research |
| Spring 2019 | |
|---|---|
| Course Number | Course Title |
| MAT 448 | Cryptography II |
| MAT 492 | Honors Directed Study |
| MAT 542 | Elliptic Curves |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
| Fall 2018 | |
|---|---|
| Course Number | Course Title |
| MAT 300 | Mathematical Structures |
| MAT 442 | Advanced Linear Algebra |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
| Summer 2018 | |
|---|---|
| Course Number | Course Title |
| MAT 792 | Research |
| Spring 2018 | |
|---|---|
| Course Number | Course Title |
| MAT 300 | Mathematical Structures |
| MAT 448 | Cryptography II |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
| Fall 2017 | |
|---|---|
| Course Number | Course Title |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
Honors / Awards:
Charles Wexler Teaching Award, for distinguished teaching of mathematics, Arizona State University, 1998.
Teaching Commendation, from the Harvard-Danforth Center for Teaching and Learning for excellence in the teaching of undergraduates, Harvard University, 1986.
Expertise Areas: