Publication List as of January 2012: sarah-marie belcastro

Work in process or under review is not listed here.

Mathematics Research Papers:

1-factor Covers of Regular Graphs, with M. Young, Discrete Applied Mathematics, 159(5) March 2011, 281--287.

Grünbaum Colorings of Toroidal Triangulations, with M. O. Albertson, H. Alpert, and R. Haas,Journal of Graph Theory, 63(1) January 2010, 68--81. preprint

Every Topological Surface Can Be Knit: A Proof, Journal of Mathematics and the Arts, 3(2) June 2009, 67--83.

Families of Dot-Product Snarks on Orientable Surfaces of Low Genus, with J. Kaminski, Graphs and Combinatorics. 23(3) June 2007, 229--240.

Modelling the Folding of Paper into Three Dimensions, with T.C. Hull. Linear Algebra and Its Applications. 348 (2002), 273--282.

Picard Lattices of Families of K3 Surfaces, Communications in Algebra. 30(1) , 61--82 (2002). find it on the arXiv

A Mathematical Model for Non-Flat Origami, with T.C. Hull,in Origami3: Third International Meeting of Origami, Science, Mathematics and Education, A K Peters, Ltd. (2002), 39--51. (also appears in the Japanese edition; not all papers were included.)

Classifying Frieze Patterns Without Using Groups, with T.C. Hull. The College Mathematics Journal, 33(2) March 2002, 93--98.

Counting Centralizers in Finite Groups, with G. J. Sherman. Mathematics Magazine 67 (1994), 366--374.

Counting Centralizers in Finite Groups, with G. J. Sherman, Rose-Hulman Institute of Technology Technical Report Series, Mathematics, MS TR 91-04

Additional Refereed Publications:

The Continuing Saga of Snarks. The College Math. J., 43(1) January 2012, 74--79.

Cutting Space into Regions with Four Planes. Wolfram Demonstrations Project

Dancing Mathematics and the Mathematics of Dance, with K. Schaffer. Math Horizons, February 2011, pp. 16--20.

Crafting by Concepts, book edited with C. Yackel, A K Peters (2011).

Generalized Helix Striping, chapter
Group Actions in Cross-stitch, chapter with M. Shepherd and C. Yackel
Spherical Symmetries of Temari, chapter with C. Yackel

Constructing Regular n-gonal Twist Boxes, with T. Veenstra, Origami⁴, A K Peters (2009), 41--49.

Knitting Hyperbolic Pants, Wolfram Demonstrations Project.

The Seven-Colored Torus: mathematically interesting and nontrivial to construct, with C. Yackel, pp. 25–32 in Homage to a Pied Puzzler, ed. by Ed Pegg, Jr., Alan H. Schoen, and Tom Rodgers, A K Peters (2009).

A Conversation with Erik Demaine, with T. Hull, Math Horizons February 2009.

(K)Not cables, braids, with A. Szczepanski and C. Yackel Mitt. Dtsch. Math.-Ver. 16 (2008), no. 1, 26–34.

(K)Not cables, braids, with A. Szczepanski and C. Yackel EMS newsletter, Issue 70, December 2008, pp. 19–25.

Making Mathematics with Needlework, book edited with C. Yackel, A K Peters (2007).

Introduction (survey of the field), with C. Yackel
Only Two Knit Stitches Can Create a Torus, chapter;
(K)Not Cables, Braids, chapter with A. Szczepanski and C. Yackel;
Stop Those Pants!, chapter with C. Yackel

About Knitting, with C. Yackel, Math Horizons November 2006, pp. 24-27+39.

To include more students, don't focus on contests---prepare for mathematics!, February 2004 Mathematics Teacher, Vol. 97 Issue 2, 84--86.

Interpretations of Feminist Philosophy of Science by Feminist Physical Scientists, with J. M. Moran, NWSA Journal, 15 (1) Spring 2003, 20--33.

The Devil is in the Culture: Why You Should Read The Number Devil and other Musings on Mathematical Education and Culture, with A.Howard, Math Horizons November 2002, 16--20 +29.

Active Learning in Abstract Algebra: An Arsenal of Techniques, with L. Burton and M. McDermott, in Innovations in Teaching Abstract Algebra, MAA Notes 60, MAA, 2002, 3--9.

A Teaching Discussion Group in Your Department - It Can Happen, with D. Shaw and D. Thiessen, College Teaching. 50 (1),Winter 2002, 29--33.

The Cantor Set Contains 1/4? Really?, with M. Green, The College Mathematics Journal, 32 (1) 2001, 60--61.

Other Publications:

Quick Craft—Modified Circular Needles, CRAFT: magazine, vol. 1, issue 2, Winter 2007.

What Will They Do This Summer?, with M. Bernstein, FOCUS May/June 2005, 29.

Book Review: Feminist Science Studies: A New Generation, AWM Newsletter, 32 (4) July-August 2002, 7 - 12.

You Do the Math, KnitNet feature article, November 2001

Finding your Second Job: A Summary, with M. Prophet, FOCUS May/June 2000

Finding your Second Job, with M. Prophet, Concerns of Young Mathematicians,Vol. 8, Issue 2, February 2000

Commentary: The Job Market vs. the Employment Center, in Concerns of Young Mathematicians,Volume 8, Issue 2, February 2000