John Jones
Emeritus Professor, School of Mathematical and Statistical Sciences
Emeritus Professor, School of Mathematical and Statistical Sciences Emeriti
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Wexler A729 TEMPE, AZ 85287-1804
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Long Bio
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
Courses
2024 Summer
| Course Number | Course Title |
|---|---|
| MAT 792 | Research |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
2024 Spring
| Course Number | Course Title |
|---|---|
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 795 | Continuing Registration |
2023 Fall
| Course Number | Course Title |
|---|---|
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
2023 Summer
| Course Number | Course Title |
|---|---|
| MAT 792 | Research |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
| MAT 799 | Dissertation |
2023 Spring
| Course Number | Course Title |
|---|---|
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 795 | Continuing Registration |
2022 Fall
| Course Number | Course Title |
|---|---|
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
2022 Summer
| Course Number | Course Title |
|---|---|
| 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 444 | Intermediate Abstract Algebra |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 795 | Continuing Registration |
2021 Fall
| Course Number | Course Title |
|---|---|
| MAT 442 | Advanced Linear Algebra |
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 371 | Advanced Calculus I |
2021 Summer
| Course Number | Course Title |
|---|---|
| MAT 792 | Research |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
2021 Spring
| Course Number | Course Title |
|---|---|
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 444 | Intermediate Abstract Algebra |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 795 | Continuing Registration |
2020 Fall
| Course Number | Course Title |
|---|---|
| MAT 447 | Cryptography I |
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 300 | Mathematical Structures |
| MAT 795 | Continuing Registration |
2020 Summer
| Course Number | Course Title |
|---|---|
| MAT 792 | Research |
| MAT 792 | Research |
| MAT 795 | Continuing Registration |
2020 Spring
| Course Number | Course Title |
|---|---|
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 544 | Abstract Algebra II |
| MAT 795 | Continuing Registration |
2019 Fall
| Course Number | Course Title |
|---|---|
| MAT 492 | Honors Directed Study |
| MAT 493 | Honors Thesis |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 543 | Abstract Algebra I |
| MAT 440 | Group Theory |
| MAT 795 | Continuing Registration |
| MAT 591 | Seminar |
2019 Summer
| Course Number | Course Title |
|---|---|
| MAT 792 | Research |
| MAT 792 | Research |
2019 Spring
| Course Number | Course Title |
|---|---|
| MAT 492 | Honors Directed Study |
| MAT 792 | Research |
| MAT 799 | Dissertation |
| MAT 448 | Cryptography II |
| MAT 795 | Continuing Registration |
| MAT 542 | Elliptic Curves |
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.