Sam Vandervelde's
Math Home Page
I am an Associate Professor of Mathematics at
St. Lawrence University, located in Canton,
NY; I joined the department in the fall of
2007. I enjoy any beautiful mathematical
ideas, although I tend to be inclined towards
problems in number theory, graph theory,
combinatorics, and Euclidean geometry. Current
research projects include work on paradoxical
decompositions and new partition identities,
while my dissertation focused on Mahler
measure.
I will be teaching MATH 136
(Integral Calculus) and MATH 205
(Multivariable Calculus) during the Fall 2013
semester. At St. Lawrence I have also taught
Bridge to Higher Math, College Geometry,
Number Theory, and a Combinatorics seminar.



Contact Info •
Publications • Current CV • Snow
Bowl
High School Math Contests •
Math Circles


I have recently completed a
textbook for use with the proofs course taught
at St.Lawrence University. My goal in writing
the text was to create an excellent, engaging,
inexpensive book for my students. Click on the
picture of the cover at left for more
information about the book, such as how to place
an order or how to download portions of the book
for review, including the front matter, first
three chapters, and answers for all
corresponding exercises. 

...
Contact Info
Dr. Sam Vandervelde
Dept of Math, CS & Stats
St. Lawrence University
23 Romoda Drive
Canton, NY 13617


Office: Valentine 212
Phone: 3152295946
Fax: 3152297413
Email: svandervelde@stlawu.edu 
...
Publications
• Fun With FWANADS, Math Horizons,
21(3) (2013) 10–11.
• On the Divisibility of Fibonacci Sequences by Primes
of Index Two, Fibonacci
Quarterly, 50(3) (2012) 207–16.
PDF
• Jacobi Sum Matrices, American Mathematical
Monthly, 119(2)
(2012) 100–115. PDF
• Balanced Partitions, Ramanujan Journal, 23(1) (2010)
297–306. PDF
• Bridge to Higher Mathematics, self
published at www.lulu.com, 2010. More info
• Circle in a Box, American Mathematical
Society, Providence, RI, 2009. Link to PDF
• Expected Value Road Trip, Mathematical
Intelligencer, 30(2) (2008) 17–18. PDF
• The Mahler Measure of Parametrizable Polynomials, Journal
of Number Theory, 128(8)
(2008) 2231–2250. PDF
• A Formula for the Mahler Measure of axy+bx+cy+d,
Journal of Number Theory, 100(1)
(2003) 184–202. PDF
• Mathematics as a Liberal Art, Journal of
Education, 183(3) (2002)
7–15.
• The First Five Years, Greater Testing
Concepts, Cambridge, MA, 2004. Order
• The Mandelbrot Problem Book, Greater
Testing Concepts, Cambridge, MA, 2002. Order
• Mandelbrot Morsels, Greater Testing
Concepts, Potsdam, NY, 2010. Order
To appear
• A Rational Function Whose Integral Values Are Sums
of Two Squares, Rocky Mountain Journal of
Mathematics. PDF
...
Curriculum
Vitae
My curriculum vitae was last updated
during the summer of 2013. PDF
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The Snow Bowl
During the fall of 2007 I
initiated a friendly math rivalry among
Colgate, Hamilton, Skidmore, and St. Lawrence.
The Snow Bowl rotates among the math
departments at these four schools, awarded
annually to the school whose top five students
have the highest total score on the Putnam
Competition. The bowl returned to SLU for the
201011 academic year. The purpose of the
rivalry is to promote interest and
participation in mathematical problem solving
for students at these schools.



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High School
Math Competitions
I am the author and coordinator of the Mandelbrot
Competition, a math contest taken by over 6000
high school students from across the country last
year. I oversee all aspects of the competition,
including test composition, web site maintenance, and
contest administration. My goal is to introduce
students to exciting topics outside the normal
curriculum and engage them in mathematical writing. I
also write questions for and serve on the committee
that produces the US Math Olympiad (USAMO).
...
Math Circles
I am an enthusiastic supporter and
promoter of math circles, an extracurricular activity
which brings students interested in mathematics
together with professional mathematicians who are able
to engage them in exciting mathematical
investigations. I founded the Stanford
Math Circle in 2005 and recently led a math
circle at A.A. Kingston Middle School in Potsdam, NY.
I was also the first director of the board that
created The
Teacher's Circle, an analogous activity for
middle school math teachers. I organized a minicourse
at JMM 2013 designed to aid participants in launching
their own successful math circles. Most recently I was
one of the organizers for the Great
Circles Workshop hosted by MSRI in April 2009.
For more information, visit the National
Association of Math Circles web site.