Education
- Ph.D., Mathematics, Indiana University, Bloomington, 1999
- M.S, Mathemataics, Northwestern University, Evanston, IL, 1991
- B.S., Computer Engineering, University of Illinois, Urbana-Champaign, 1989
Publications
- Euclid compiles a treatise on geometry, Elements, in Alexandria, Great Events from History: The Ancient World (Rowena Wildin, ed.), Salem Press, 2004.
- A Survey of Knot Concordance, Low-Dimensional Topology of Tomorrow, (Hitoshi Murakami, ed.), RIMS Kokyuroku, no. 1272, 2002.
- Knots of Ten or Fewer Crossings of Algebraic Order 2, Journal of Knot Theory and Its Ramifications, vol. 11 (2002), no. 2, 211–222.
- Eudoxus, Encyclopedia of the Ancient World (Thomas J. Sienkewicz, ed.), Salem Press, 2001.
- Heron, Encyclopedia of the Ancient World (Thomas J. Sienkewicz, ed.), Salem Press, 2001.
Honors
- Who's Who Among America's Teachers, 2004
- Project NeXT—Wisconsin Fellow
Presentations
- "Perspective, Mathematics, and the Renaissance," 2008 Joint Mathematics Meetings, San Diego, California, Jan. 6–9, 2008.
- "The mathematics of Fra Luca Pacioli," 74th Annual Meeting of the Wisconsin Section of the MAA, UW Whitewater, April 21-22, 2006.
- "Harry Potter's Potions Puzzle," special session on Nifty Examples in Discrete Mathematics, MathFest 2005, Albuquerque, New Mexico, August 4-6, 2005.
- "Twisted Alexander polynomials and representation varieties," Topology Seminar, University of Buffalo, Feb. 22, 2002, and Université du Québec à Montréal, Mar. 8, 2002.
- "A Survey of Knot Concordance," Low-dimensional Topology of Tomorrow, Kyoto, Japan, January 7–10, 2002.
- "A-polynomials and twisted Alexander polynomials," 965th AMS Meeting, University of Nevada—Las Vegas, Las Vegas, NV, April 21–22, 2001.
- "Knot Concordance," Topology seminars, University of Wisconsin—Milwaukee, Sept, 2000, and Marquette University, April, 2001.
- "Concordance of Classical Knots," 942nd AMS Meeting, University of Nevada—Las Vegas, Las Vegas, NV, April 10–11, 1999.
- "Knots of Concordance Order Two," 936th AMS Meeting, Wake Forest University, Winston-Salem, North Carolina, October 10, 1998.
- "Knot Theory," St. Ignatius College Prep., Chicago, IL; April 24, 1998.
- "Mazgų Teorija," X-asis Mokslo ir Kurybos Simpoziumas ["Knot Theory," 10th Symposium of Arts and Sciences], Chicago, IL, November 28, 1997.
Research
Original research area was low-dimensional topology, knot theory—specifically, knot concordance. Currently, both research and teaching interests coincide in the history of mathematics. I find that learning about the long history of mathematics and communicating that history to my students results in the students' understanding that mathematics is not a cold subject that exists only in textbooks but a living subject that is part of the human experience.
Service
- Member, Research Advisory Board, Urban Ecology Center, Milwaukee, WI, August 2005–2008.
- Member, editorial board, MAA Notes Series, January 2006–present.
- Member, Grants committee/Scholarship subcommittee, Lithuanian Foundation, February 2002–present.
Textbook Field Testing- Crannell, Frantz. Viewpoints: Mathematical Perspective and Fractal Geometry in Art. for Princeton University Press. 2007.
- Calter. Squaring the Circle: Geometry in Art and Architecture, for Key College Publishing, 2004.
- Fenton, Reynolds. College Geometry with The Geometer's Sketchpad, for Key College Publishing, 2004.
Reviewer- Linear Algebra: A geometric approach, Thomas Shifrin and Malcolm R. Adams, W.H. Freeman.
- Functions and Change: A Modeling Alternative to College Algebra, Houghton Mifflin.
- Using Recent History of Mathematics in Teaching Mathematics, MAA Notes.
- Historical Models, Their Development and Use: A Collection of Classroom Applications, MAA Notes.
Professional Memberships
- Mathematics Association of America
- Clavius Group
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