My favorite flavor of mathematics is number theory. I began my number theory career studying Siegel modular forms and their related L-functions in my PhD thesis from Dartmouth College. More recent interests in number theory include cryptography and communications security. I am also interested in the mathematics underlying origami designs. I enjoy developing new courses to excite students about interesting and, sometimes unexpected, topics. I have designed mathematical courses in origami and cryptography, and first year seminars in historical cryptography and exploring fantasy novels. I am especially interested in developing materials to encourage active learning both in and out of the classroom and creating and using interactive software to allow students to explore mathematical results.
MATH 107 Mathematics of Origami
MATH 204 Mathematics of Cryptography
First Year Seminar: Magical Realms: An Exploration of Fantasy Novels
First Year Seminar: Secret History: A Study of Secret Messages in History, Literature and Culture
MATH 121/122/221 Calculus I, II, and III
MATH 201 Discrete Mathematics
MATH 245 Number Theory and History of Mathematics
MATH 251 Geometry
MATH 325 Complex Analysis
MATH 321 Real Analysis
MATH 341 Abstract Algebra
MATH 459 Senior Seminar
University of Northern Iowa, Assistant Professor of Mathematics, 1997-2001
"Do the Twist! (on polygon-base boxes)," with s-m belcastro, College Mathematics Journal, November 2016, Vol 47, No 5, pp. 341-345.
"Fujimoto, Number Theory, and a New Folding Technique," Origami4: Proceedings of the Fourth International Meeting of Origami Science, Mathematics, and Education, AK Peters, Natick, MA, 2009, pp. 405-415.
"Constructing Regular n-gonal Twist Boxes, with s-m belcastro," Origami4: Proceedings of the Fourth International Meeting of Origami Science, Mathematics, and Education, AK Peters, Natick, MA, 2009, pp. 41-49.
Alan Turing and his Contributions to Cryptology, AMS/MAA National Meetings, Atlanta, Georgia, January 2017.
Cryptology By Discovery: Favorite Inquiry-Based Activities, AMS/MAA National Meetings, San Antonio, Texas, January 2015.
Investigating the Mathematics of Folding Regular-Polygon-Base Boxes. AMS/MAA National Meetings, San Antonio, Texas, January 2015.
Paper folding, Orders of Elements, and Binary Representations of Fractions, MAA invited paper session, AMS/MAA National Meetings, San Francisco, CA, January 2010.
How a Mathematician Looks at Origami and Finds Prime Numbers, invited speaker, AAAS National Conference, Chicago IL, February 2009.
The Vigenere Cipher: A Historical Cipher with a Modern Day Application, AMS/MAA National Meetings, Washington DC, January 2009.