231 W Franklin St

Holyoke, MA 01040

Citizenship: United States

** (if you want more than is here, just ask; this is the short version...)**

Ph.D. The University of Michigan, Ann Arbor, MI, May 1997

- Major Area---Algebraic Geometry (Surfaces and Toric Varieties)
- Dissertation Title---Picard Lattices of Families of K3 Surfaces
- Thesis Advisor---Dr. Igor Dolgachev

M.S. The University of Michigan, Ann Arbor, MI, May 1993

B.S. Haverford College, Haverford, PA, May 1991

- Majors in Mathematics and Astronomy; graduated with Honors in Mathematics
- Advisor---Dr. Curtis Greene

**Director, MathILy
(serious Mathematics Infused with Levity), **
February 2013--present

Designed 5-week intensive residential summer program for excellent secondary mathematics students, with focus on applicable pure mathematics and core curriculum of linear algebra, combinatorics, and graph theory. Created website, outlined curriculum, and wrote inquiry-based learning instructor training materials. Annually: write new Exam Assessing Readiness, recruit students and staff, evaluate applications, teach college- and graduate-level courses for 7 hours/day for 5 weeks, coordinate mathematical visitors, mentor Apprentice Instructors and students and alumni, write program reports, write narrative evaluations of students and staff, and update website. Envision and coordinate program enhancements, expansions, finances, and outreach. Facilitate and contribute to administration of the companion programs MathILy-Er (MathILy, Earlier) and the MathILy-EST (MathILy, Early Scholarly Training) REU.

**Instructor,** **The
Art of
Problem Solving Online School**, Sept 2012--present

Introduction to Counting and Probability, Introduction to Number Theory, Intermediate Counting and Probability, Calculus---classes are taught by inquiry in a text chat room, using Art of Problem Solving curriculum.

**Lecturer, University
of
Massachusetts-Amherst**, Amherst, MA, Fall 2019, Fall 2018, 2015--16, and Jan. 2011--Aug. 2012

Calculus I, Calculus II, Calculus III---ttaught 55-student sections of the multisection Engineering Calculus course sequence each semester, using Stewart text and some cooperative learning in class. Assisted in mentoring teaching assistants. Wrote coursewide exam rubrics. Also Calculus III Honors (single section, 25 students).

Linear Algebra---taught 55-student sections of the course, using Lay text and cooperative learning in class.

Mathematics Triple---part of the UMass Summer College
pilot
program. Designed and taught two 2-credit courses for gifted
high-school
students; *Salmagundi and Mélange* covered combinatorics,
graph theory,
group theory, topology, and geometry at a sophomore mathematics
major level and
*All Dimensions All the Time* covered convex geometry with
a focus on
polytopes at a junior/senior mathematics major level.

**Research Associate, Smith
College, **Northampton, MA. June 2008--present**
Visiting Assistant Professor / Lecturer, Smith
College**, Northampton, MA, Spring 2017, Feb. 2006--June 2008

Modern Algebra, Spring 2017---used Judson's text for group and ring theory, with frequent in-class inquiry-based and cooperative learning; take-home exams.

Linear Algebra, Springs 2006, 2007, 2008---used cooperative learning in class; in-class and take-home exams; focus on building proof-writing skills with examples and exercises taken from applications; frequent student presentations required; *Mathematica* and web applets for computation.

The Mathematics of Knitted Objects, Interterm 2008---introduced the differential geometry, rubber-sheet and algebraic topology, and knot theory necessary to describe knit constructions for topological and curved surfaces.

Calculus II, Fall 2006, Fall 2007---used *Calculus
in
Context* for students who took Calculus I in high
school; curriculum
includes differential equations, dynamical systems, series
approximations, and
techniques of integration.

Topics in Algebra, Spring 2007---student-driven seminar investigating rings, modules, vector spaces, tensor products, exact sequences; significant project and regular presentations required.

Discovering Mathematics: Dimensionality, Spring 2007---mathematical fiction (*Flatland*,
*Sphereland*, and *Spaceland*) used to launch
discussion of the
mathematics of spaces of various dimensions.

Critical Reading and Discussion: *Sexing the Body: Gender
Politics and
the Construction of Sexuality* by Anne Fausto-Sterling,
Interterm
2007---five discussion sessions plus a reaction essay and a
critical essay.

Number Theory, Fall 2006---exploration-based class using
Silverman's
*A Friendly Introduction to Number Theory* along with
*Mathematica* for data collection; significant student
project and
presentation required.

**Visiting Assistant Professor/Lecturer, Mount Holyoke
College**,
South Hadley, MA. Fall 2017, Sept. 2009--May 2010

Graph Theory, Fall 2017---used fundamental questions of graph theory to motivate student-driven explorations, supplemented with Trudeau and Wilson texts.

Calculus II, Fall 2009, Spring 2010---supplemented Stewart text
with
sections of *Calculus
in
Context* and Hughes-Hallett texts and *Mathematica*
labs;
frequent in-class cooperative learning; both individual and group
homework.

Discrete Mathematics, Spring 2010---designed sophomore-level highly interactive course with focus on combinatorics and graph theory content as the context for learning to create and write proofs; readings amalgamated from several electronic and print texts; both in-class and take-home exams.

**Guest Instructor, Sarah
Lawrence
College**, Bronxville, NY, 2013--14, Spring 2013,
Fall 2010 and 2008--09

Sarah Lawrence courses incorporate independent projects (2
credits) with the
usual class structure (3 credits).

Calculus I, Fall 2010, Spring 2014---used Hughes-Hallett text with
frequent in-class cooperative learning, take-home exams, and
derivative gateway exam. Projects included pharmacokinetics of morphine, repeated prime gaps, mathematical dressmaking, plane isometries, and translation of a mathematics paper from Japanese.

Multivariable and Vector Calculus, Spring 2014---used Colley text with frequent in-class cooperative learning, computer algebra systems, and take-home exams. Projects included differential geometry, mathematical modeling, and architecture.

Discrete Mathematics, Fall 2013---used *Discrete Mathematics
with Ducks* to focus on proofwriting, combinatorics, and graph
theory, with frequent in-class inquiry-based and cooperative
learning, and take-home exams. Projects included coding/cryptography,
abstract algebra, probability, and mathematics of *Alice in
Wonderland*.

Calculus II, Spring and Fall 2013---used *Calculus in Context*
(for differential equations, power series, integration, and
numerical approximation) with frequent in-class cooperative
learning, computer labs, and take-home exams. Projects
included crystallography, a narrative mathematical film,
combinatorics, and modeling a roller coaster.

Linear Algebra, Spring 2009---as at Smith College, but with no in-class exams or formal student presentations. Projects included knot theory, mathematical
choreography, number
theory, and integer programming.

Dimensionality, Fall 2008---as at Smith College. Projects included
classification
and knitting of topological surfaces, Kempe's false proof of the
Four
Color Theorem, geometric matrix transformations, and basic
fractals.

**Visiting Faculty,** **Clark
University**, Worcester, MA, Fall 2012

Calculus I---taught two of five class sections, using Hass/Weir/Thomas text and cooperative learning in class.

**Co-Director, Hampshire
College Summer
Studies in Mathematics, **Amherst, MA. August
2004--March 2009**
Senior Staff, Hampshire College
Summer Studies
in Mathematics, **Amherst, MA, Summers 1999--2009

Taught 100+ hours of college-level mathematics over six summer weeks at program for very talented high-school students. Content of the 3-week introductory workshop ranged from group theory to combinatorics to number theory to complex analysis to infinite set theory. Designed *Polytopes and More*, a 3-week course on convex geometry, *Graphs on Surfaces*, a 3-week course on topological graph theory, and *Recent Papers* and *Lebesgue Integration* short courses; co-designed *Polyhedra and Friends*, a 3-week course on convex geometry and origami mathematics, and *Knot Theory* and *Convex Hulls* short courses. Gave hour lectures ranging from *Sets with no SETs* to *Computing Simplicial Homology Groups*. As Co-Director, worked with David Kelly of Hampshire College to recruit, screen, mentor, and evaluate both students and staff, to write a new Interesting Test for the applications process each year, to maintain advisory relationships with alumni, and to write grant proposals to help fund the Summer Studies.

**Assistant Professor, Xavier
University, **Cincinnati, OH, Sept. 2002--June
2006

Student Research---supervised seven students in mathematical research projects, 2004--2006.

Graph Theory, Springs 2003, 2005---used fundamental questions of topological graph theory to motivate student-driven explorations, including classifying surfaces, supplemented with Trudeau and Wilson texts.

Mathematical Perspectives: Dimensionality, Springs 2004, 2005---as at Sarah Lawrence College.

Mathematical Perspectives: Devilish Number Investigations, Spring
2005---used statements in *The Number Devil* as a
springboard for making
conjectures, investigating examples, and creating basic proofs.

Topology, Spring 2005 (ind. study)---did point-set (Munkres) and basic homotopy/homology (Hatcher).

Elements of Calculus, Falls 2002 - 2004, Spring 2003---used the LaTorre, Kenelly, et. al text; cooperative learning both in- and outside class; graphing calculators used; real-world project required.

Elementary Linear Algebra, Fall 2004---as at Smith College, with some group homework assignments as well.

Mathematical Perspectives: Knots, Surfaces, and other Visual Mathematics, Spring 2004---used a discovery-based text and classroom activities to discuss graph theory, surface theory, and knot theory.

Real Analysis, Spring 2004---students read one section of the Marsden text per class session, then discussed the text and exercises in class; take-home exams.

Abstract Algebra, Falls 2002, 2003---used exploratory and discovery-based activities as well as collaborative learning with Gallian's text; take-home exams; paper/project required. (Abstract Algebra II covered ring theory through Galois theory as an independent study Spring 2003.)

**Visiting Assistant Professor, Bowdoin College, **Brunswick,
ME,
Sept. 2001--June 2002

Calculus II , Fall 2001 and Spring 2002, and Calculus II
Advanced, Fall
2001---used Hughes-Hallett text and weekly *Mathematica*
labs; substantial
cooperative learning; gateway exam and short paper required.

Real Analysis, Spring 2002---Marsden text supplemented by the Rosenlicht text; in-class discussions supplemented by selected worksheets (W. Barker); take-home exams.

**Assistant Professor, University
of
Northern Iowa,** Cedar Falls, IA, Aug. 1997--June 2002

Standard Courses: Real Analysis I and II (twice each, Marsden text), Analysis for Business Students (twice, Crauder/Evans/Noell text), Linear Algebra (four times, Leon, Andrilli/Hecker texts), Abstract Algebra I and II (once each, Gallian text), Calculus II (twice, Hughes-Hallett text).

Differential Geometry, Fall 1999---designed and conducted interactive-lecture class using four texts of various levels; covered theory of manifolds in general dimension with examples from dimensions 1, 2, 4.

Geometric Transformations, Fall 1998---designed and facilitated discussion-style class on plane transformational geometry and physics-oriented differential geometry with informal texts (Farmer, two by Rucker).

**Teaching Discussion Group, Mathematics Department,**
University of
Northern Iowa, Spring 1999--2001

Members met once per month to discuss various aspects of teaching with a different focus each semester. The four semester foci were (a) studying teaching styles via structured visits to classes (b) working closely with a colleague (I worked with Linear Algebra) (c) active learning in the classroom and (d) assessment.

Parsimonious edge colorings on surfaces, *Electronic Journal of Graph Theory and Applications*, 6(2) (2018), 306--309. (open access)

Edge-Kempe-equivalence graphs of class 1 *k*-regular graphs, with R. Haas, *Australasian J. Combinatorics* 69(2) (2017), 197--214. (open access)

Small snarks and 6-chromatic triangulations on the Klein bottle, *Australasian J. Combinatorics*, 65(3) (2016), 232--250. (open access)

An Elementary Computation of the Conway Polynomial for (*m*,3)
and
(*m*,4) Torus Links, with D. Rowland, *Journal of Combinatorial Mathematics and Combinatorial Computing*, 96 (February 2016), 159--170.

Triangle-free Uniquely 3-Edge Colorable Cubic Graphs, with R. Haas, *Contributions to Discrete Math.* 10(2) (2015), 39--44. (open access)

Counting edge-Kempe-equivalence classes for 3-edge-colored cubic
graphs,
with R. Haas, *Discrete Mathematics*, 325 (28 June 2014), 77--84. (find it on the arXiv)

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

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

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. (open archive)

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.

Minor-closed classes of signed graphs*, *with D. C.
Slilaty,
preprint.

Domino Tilings of 2 x n Grids (or Perfect Matchings of Grid Graphs) on Surfaces, preprint in revision.

Topological minor-closed classes of signed graphs, with D. C. Slilaty, in preparation (rough draft).

Color-induced subgraphs of Grünbaum colorings of triangulations, with R. Haas, in preparation (rough draft).

Color-induced subgraphs (of Grünbaum colorings of triangulations) that are dual to Hamilton cycles, in preparation (rough draft).

*Discrete Mathematics with Ducks*,
textbook, 2nd ed. CRC Press (2018); 1st ed. A K Peters (2012); *Student Handbook for Discrete Mathematics with Ducks: SRRSLEH (Student Reference, Review, Supplemental Learning, and Example Handbook)*, A K Peters/CRC Press 2015.

*Figuring Fibers*, book, assistant editor; chief editor C. Yackel, AMS (2018).

Knitting Torus Knots and Links, chapter.

Ask Questions to Encourage Questions Asked, *PRIMUS*, 27(2), 2017, 171--178.

Do the Twist! (on polygon-base boxes), with T. Veenstra, *The College Math J.*, 47(5) November 2016, 340--345.

Symmetric Colorings of Polypolyhedra, with T. Hull, *Origami ^{6} 1: Mathematics*, AMS (2015), 21--31.

Adventures
in
Mathematical Knitting. *American Scientist*, 101(2),
March-April
2013, 124--133; reprinted in *The Best Writing on
Mathematics 2014*,
Ed. Mircea Pitici, Princeton University Press, pp. 128--143.

The Continuing Saga of Snarks. *The College Math. J.*,
43(1) January
2012, 82--87; reprinted in *Martin Gardner in the Twenty-First
Century*,
ed. Michael Henle and Brian Hopkins (2012), 65--71.

Dancing Mathematics and the Mathematics of Dance, with K.
Schaffer. *Math
Horizons*, February
2011, pp. 16--20; reprinted in *The Best Writing on
Mathematics 2012*,
Ed. Mircea Pitici, Princeton University Press, pp. 79--92.

*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

*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

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

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.

**Additional Works In Progress:**

Floorquences and their Consequences, in revision.

Tablets versus IV---What's the Dose?, in preparation (rough draft).

Laban's Choreutics and Polyhedra, in preparation (rough draft).

Coloring Duality for Polypolyhedra, with T. Hull, in preparation (draft).

How to Classify Regular Polytopes, with E. Peters, preprint.

Why are there 3* ^{n}* cubes in the

Intervening Discourse about Feminist Physical Sciences and
Mathematics*,
*preprint.

* Identifying very strong high-school students + An early-college REU*, January 2020

AMS Special Session on How to Discover and Train Gifted Students, JMM, Denver CO

*A Slice of a Slice of Topological Graph Theory*, November 2019

Smith College Lunch Talk + visit to Dialogues class

*Illustrating topology and geometry (but mostly topology) with knitting*, September 2019

Computational Textiles Working Group, ICERM Illustrating Mathematics Semester, Providence RI

*Symmetries of Wall Trim*, May 2019

American Regions Mathematics League, Pennsylvania State University

*Drawing Networks on Doughnuts*, February 2019

Harvard--MIT Mathematics Tournament

*Color-induced subgraphs of Grünbaum colorings of triangulations*,

AMS Special Session on Topology, Structure and Symmetry in Graph Theory, JMM, Baltimore MD, January 2019

Discrete Mathematics Day, University of Rhode Island, September 2018

*Tiles on Surfaces / Matchings on Grids*, March 2018

Colloquium, Loyola University Chicago

*Adding in Geometry (Minkowski Sums)*, February 2018

Harvard-MIT Mathematics Tournament

* Does Inclusivity Matter in Mathematical Practice?*, January 2018

MAA Session on Philosophy of Mathematics as Actually Practiced, JMM, San Diego CA

*Grünbaum colorings extended to non-facial 3-cycles*, January 2017

AMS Contributed Paper Session, Joint Mathematics Meetings, Atlanta GA

*Floor-quences and their Conse-quences*, June 2016

American Regions Mathematics League, Pennsylvania State University

*Branching out within IBL: Guides to Support Experimentation *, January 2016

MAA Contributed Paper Session on Inquiry-Based Teaching and Learning, JMM, Seattle

*Scheduling the Week of Chaos* (co-given with Max Engelstein, Jonah Ostroff, and Thomas Hull) , January 2016

MAA CPS on Math Experiences and Projects in Business, Industry, Government, JMM, Seattle

*Stories about Snarks* (Plenary Speaker), March, 2015

Forty-Sixth Southeastern Intl. Conf. on Comb., Graph Theory, and Computing, Boca Raton, FL

* Ask questions to encourage questions asked,* January 2015

MAA Contributed Paper Session on Teaching Inquiry, Joint Mathematics Meetings, San Antonio

*Symmetric Colorings of Polypolyhedra,* August 2014

The 6th International Meeting on Origami in Science, Mathematics and Education, Tokyo, Japan

*Small snarks and 6-chromatic triangulations on the Klein bottle,* June 2014

Minisymposium on Variations in Chromatic Graph Theory, SIAM DM14, Minneapolis MN

*Topological Graph Theory and YOU,* April 2014

North Shore Undergraduate Research Conference Invited Address, Gordon College

*Snark Attack!: visualizations of 'uncolorable' graphs on
surfaces,* January 2014

MAA Invited Address, Joint Mathematics Meetings, Baltimore

*Knitting Torus Knots and Links*, January 2014

AMS Special Session on Mathematics and Mathematics Education in
Fiber Arts

Joint Mathematics Meetings, Baltimore

*(and an additional 18 talks given since the start of 2014)*

PI on NSF-REU grant DMS-1851842 for MathILy-EST (focus on first-year students) April 2019--March 2022

AWM-NSF Travel Grant for participation in the 6th International Meeting on Origami in Science, Mathematics and Education, Tokyo, Japan, August 2014

AWM-NSF Travel Grant for participation in 2012 AMS Fall Eastern Sectional Meeting, June 2012

Tensor Foundation Grant for recruiting/enhancement of HCSSiM, Feb. 2007

Faculty Development Leave grant (competitive across Xavier), awarded but unfunded, October 2004

UNI 2000 Summer Fellowship---internally competitive grant supported research, June 2000

Project NExT Fellow---one of 70 young mathematicians chosen nationally by the MAA to participate in extensive discussions on teaching and pedagogy at three national conferences, July 1997 - Aug. 1998

Chair of AWM playing cards deck Project Management Committee, August 2019--present

Team-graded the Power Question (proofs) at the ARML competition, Junes 2008--2019

Associate Editor for *The
College Mathematics Journal*, Jan. 2003--2019

Refereed for *Journal of Graph Theory*, 2016, 2017, 2018

Organized (with C. Yackel) AMS Special Session, Joint Mathematics
Meetings,
Jans. 2005, 2009, 2014

*AMS Special Session on Mathematics and Mathematics Education
in Fiber
Arts* (2005
pages; 2009
pages; 2014
pages)

We also organized accompanying exhibits; the 2009 and 2014
exhibits were juried.

Organized (with M. Ellingham) MAA Invited Paper Session, Joint
Mathematics Meetings, January 2014

*MAA IPS on Graphs don't have to lie flat: the shape of
topological graph theory*

Refereed for *Journal
of Mathematics and the Arts*, 2013 and 2014

Advisory Board member for *Math Horizons*,
June 2003--Jan.
2008

Organized (with R. Haas) Discrete Math Day (DMD-NE) Conference, April 2008

Consultant to Project NExT 2004 cohort, January 2005--present

Organized (with D. Kelly) Yellow Pig Math Days conference, Oct. 2005--July 2006

Supervised four XU mathematics major Senior Projects, Fall 2004--Spring 2006

Re-visioning XU Core (Gen. Ed.) Mathematics Task Force; created six new courses, 2003

Organized (with R. Favro and K. Moore) CPW Panel Discussion,
Joint Math
Meetings January 2003

*Improving the persistence of women in graduate school*.

Chair of XU Mathematics Task Forces: Fall 2002--Spring 2003

Teaching Evaluations, Advisor/Advisee Matchings, Placement Test
Revisions

Organized (with D. Sabo) MAA-Project NExT Panel Discussion, Joint
Math
Meetings, January 2002

*Introduction to the hiring process:
Preparation,
execution, and follow-up.*

Mathematical Association of America Committee on the Participation of Women, Jan. 2000--Jan. 2003

Selection Committee for AWM Alice T. Shafer Prize (Chair in 2002), Oct. 2000--Oct. 2002

Selected UNI Mathematics Department Committees:

Mathematics Position Search Comm. (Co-Chair 1999--2000 with T.
Veenstra),
1998--2000

Colloquium Committee (Chair, 1998--2000), 1997--2000

Six knitted/crocheted mathematical objects displayed in four
juried art
exhibits, Jan. 2012--July 2012

JMM 2012 (Boston), Lafayette Art Gallery (PA), SMI 2012 (TX),
ATMCS5 (UK)

Choreographed and performed 2 min. solo included as video in Karl
Schaffer's
modern dance piece *The Daughters of Hypatia: Circles of
Mathematical
Women*, February 2012

Faculty Advisor to XU Sexual Health And Reproductive Education student group, Feb. 2003--Dec. 2004

UNI Women's Studies Undergraduate Program Advisory Board, Sept. 1998--May 2001

Member of UNI Orchesis Dance Company (choreography co-chair 1999--2000), Sept. 1997--May 2001

Faculty Advisor to UNI-Lesbian Gay Bisexual Transgender Alliance, April 1998--May 2001

AMS (since 1990)

AWM (since 1990)

MAA (since 1997)

SIAM (since 2008)