Publications

1. Traves, Will and Sidman, Jessica and Wheeler, Ashley. Geometric Equations for Matroid Varieties. Preprint. (2019) ArXiv
2. Traves, Will. Data Science at USNA. Mathematica Militaris. (2019) PDF
3. Sidman, Jessica and Traves, Will. Special Positions of Frameworks and the Grassmann-Cayley Algebra. Handbook of Geometric Constraint Systems Principles, C.R.C. Press (2018), 85--106. Book webpage.
4. Traves, Will. Book Review of J. Richter-Gebert's Perspectives in Projective Geometry. A Guided Tour Through Real and Complex Geometry. Amer. Math. Monthly, 122 (2015), 398--402. PDF
5. Traves, Will. From Pascal's Theorem to d-Constructible Curves. Amer. Math. Monthly, 120 (2013), 901--915. PDF
6. Traves, Will; Wakefield, Max. Derivation radical subspace arrangements. J. Pure Appl. Algebra 215 (2011), no. 6, 1492--1501. PDF
7. Traves, Will. Differential operators on Grassmann varieties. Symmetry and spaces, 197--207, Progr. Math., 278, Birkhäuser Boston, Inc., Boston, MA, 2010. PDF
8. Bashelor, Andrew; Ksir, Amy; Traves, Will. Enumerative algebraic geometry of conics. Amer. Math. Monthly 115 (2008), no. 8, 701--728. PDF
9. Dalili, Kia; Faridi, Sara; Traves, Will. The reconstruction conjecture and edge ideals. Discrete Math. 308 (2008), no. 10, 2002--2010. PDF
10. Joyner, David; Ksir, Amy; Traves, Will. Automorphism groups of generalized Reed-Solomon codes. Advances in coding theory and cryptography, 114--125, Ser. Coding Theory Cryptol., 3, World Sci. Publ., Hackensack, NJ, 2007. PDF
11. Traves, William N. Invariant theory and differential operators. Gröbner bases in symbolic analysis, 245--265, Radon Ser. Comput. Appl. Math., 2, Walter de Gruyter, Berlin, 2007. PDF
12. Traves, William N. Differential operators on orbifolds. J. Symbolic Comput. 41 (2006), no. 12, 1295--1308. PDF
13. Saito, Mutsumi; Traves, William N. Finite generations of rings of differential operators of semigroup algebras. Proceedings of the 36th Symposium on Ring Theory and Representation Theory, 26--31, Symp. Ring Theory, Represent Theory Organ. Comm., Yamanashi, 2004.
14. Saito, Mutsumi ; Traves, William N. Finite generation of rings of differential operators of semigroup algebras. J. Algebra 278 (2004), no. 1, 76--103. PDF
15. Michael, T. S.; Traves, William N. Independence sequences of well-covered graphs: non-unimodality and the Roller-Coaster Conjecture. Graphs Combin. 19 (2003), no. 3, 403--411. PDF
16. Traves, William N. Localization of the Hasse-Schmidt algebra. Canad. Math. Bull. 46 (2003), no. 2, 304--309. PDF
17. Saito, Mutsumi; Traves, William N. The ring of differential operators for semigroup algebras—its finiteness. (Japanese) Theoretical effectivity and practical effectivity of Gröbner bases (Japanese) (Kyoto, 2002). Sūrikaisekikenkyūsho Kōkyūroku No. 1289 (2002), 64--80.
18. Saito, Mutsumi; Traves, William N. Differential algebras on semigroup algebras. Symbolic computation: solving equations in algebra, geometry, and engineering (South Hadley, MA, 2000), 207--226, Contemp. Math., 286, Amer. Math. Soc., Providence, RI, 2001. PDF
19. Smith, Karen E.; Kahanpää, Lauri; Kekäläinen, Pekka; Traves, William. An invitation to algebraic geometry. Universitext. Springer-Verlag, New York, 2000. xii+155 pp. ISBN: 0-387-98980-3 [Since 2000, the book has been re-issued in a second printing and translated into Finnish and Persian.] 
20. Traves, William N. Tight closure and differential simplicity. J. Algebra 228 (2000), no. 2, 457--476. PDF
21. Traves, William N. Differential operators on monomial rings. J. Pure Appl. Algebra 136 (1999), no. 2, 183--197. PDF
22. Traves, William N. Nakai's conjecture for varieties smoothed by normalization. Proc. Amer. Math. Soc. 127 (1999), no. 8, 2245--2248. PDF
23. Traves, William Nathaniel. Differential operators and Nakai's conjecture. Thesis (Ph.D.)–University of Toronto (Canada). ProQuest LLC, Ann Arbor, MI, 1998. 112 pp. ISBN: 978-0612-35345-9 PDF
24. Embrechts, Paul; Herzberg, Agnes M.; Kalbfleisch, Heidi K.; Traves, William N.; Whitla, J. Robertson. An introduction to wavelets with applications to Andrews' plots. J. Comput. Appl. Math. 64 (1995), no. 1-2, 41--56. PDF
25. Herzberg, Agnes M.; Traves, William N. An optimal experimental design for the Haar regression model. Canad. J. Statist. 22 (1994), no. 3, 357--364.
26. Traves, William N. A remarkable integer identity. Bull. Inst. Combin. Appl. 10 (1994), 17--22.
27. Paul Craven, Paul; Traves, William N. A general-purpose hierarchical coding engine and its application to comparative analysis of statutes. Literary and Linguistic Computing 8, no. 1 (1993), 27—32.
28. Craven, Paul; Traves, William N. A general-purpose hierarchical coding engine. Presented to the joint conference of Association for Computing in the Humanities/Association for Literary and Linguistic Computing, Oxford, April 1992. Lengthy abstract published in ALL/CACH 92 Proceedings (Oxford University Press) and electronically on the Internet. Pages 99—103.

     

Unpublished Notes

1. Traves, Will. Installing LaTeX. Notes on how to install MikTex, Texmaker, Beamer and a pdf clipper on USNA-issued Windows machines. United States Naval Academy (2013). 9 pages. PDF
2. Traves, Will. Advice on Writing Mathematics. Notes on how to write mathematics well. (2013). 4 pages. PDF
3. Traves, Will. Elliptic Curves and Cryptography. Notes intended for use in SM362. United States Naval Academy (2013). 15 pages. PDF
4. Traves, Will. The Network Interdiction Problem. Notes intended for use in SA405. United States Naval Academy (2012). 12 pages. PDF
5. Traves, William N. Abstract Algebra: An Outline. Course notes for Math 301. University of Toronto Mathematics Department (1996). 15 pages. PDF