Sandy Ganzell
Mathematics and Computer Science, St. Mary's College of Maryland
47645 College Drive, St. Mary's City, MD 20686
Welcome! My office is in Schaefer Hall, room 172. Come by any time. If the door's open, you're not interrupting. You can also schedule an appointment.
Contact me at 240-895-4371 or sganzell@smcm.edu.
Fall 2019
My office hours are Mon/Thu 8:30–9:30 and Wed 9:30–10:30. If you're busy then, email me to schedule a time to meet. Or just stop by. This semester I'm teaching Calc II, FOM and Knot Theory. Click below for course info.
Math/CS Department
Here's some of what's happening in the department.
You can take an exam to get your infinity license! There's a 246 lecture at, um, 2:46. We host an NSF-funded REU! Other things!
Research
My main area of research is Geometric Topology, specifically 4-Manifolds and Knot Theory. I'm also interested in Geometric Group Theory and Combinatorial Games.
My classes
Fall 2019: I'm teaching MATH152: Calculus II (Section 1: MWF 1:20–2:30 in Schaefer 109), MATH 281: Foundations of Mathematics (MWF 10:40–11:50 in Schaefer 134), and MATH 485: Knot Theory (TuTh 10–11:50 in Schaefer 132). Course syllabi and additional info is available in your course Google drive. Contact me ASAP if you don't have access.
Office Hours: Monday/Thursday 8:30–9:30, Wednesday 9:30–10:30.
My past courses (taught at SMCM, University of The Gambia, Pomona College and Rice University) are listed in my CV.
Course description for MATH 485: Topics in Mathematics, Fall 2019
Knot Theory: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in Topology and Geometry, as well as applications in Chemistry, Physics and Biology. At the same time, there are many accessible open problems suitable for undergraduate research. Prerequisites: MATH 256 and MATH 281.
My Research
My primary interest in mathematics is in Geometric Topology. More specifically, my research focusses on Knot Theory and the Topology of 4-Manifolds. I'm also interested in Geometric Group Theory and Combinatorial Game Theory.
Students interested in doing research (or SMPs) in any of these areas should read (or at least skim) the linked Wikipedia pages and come see me. A course in Topology is helpful (but not essential) for studying Knot Theory. Abstract Algebra I is essential for studying Geometric Group Theory; both Topology and Abstract Algebra II are essential for studying 4-manifolds.
Preprints
Some of my preprints can be found here. Links to all my papers (and publication info) are in my CV. Papers marked with an asterisk* are coauthored with one or more undergraduates.
• Restrictions on Homflypt and Kauffman Polynomials*
• A Note on Composite Colorings*
• Jones Polynomials of Unoriented Links*
• Divisibility Tests, Old and New
• Local Moves and Restrictions on the Jones Polynomial
• The Forbidden Number of a Knot
• TWIST UNTANGLE and Related Knot Games*
• UNTANGLE: Knots in Combinatorial Game Theory
• Chirality vs. HOMFLY and Kauffman Polynomials*
• Ends of 4-Manifolds
Things happening around the department
Infinity Licenses
Want to be able to use infinity without justification? Want to be able to say "Well, that's 1 over infinity so it goes to 0" without Alex demanding epsilons and deltas? Just pass your infinity exam and it can happen!
246
Every Friday at 2:46 there's a short (ends by 3:14) lecture on a topic not typically covered in any class. Usually if you've had FOM you know enough to enjoy it.
Klein Bottle Openers
Want one? Just declare your math major and it's yours! Fläche? Flasche? FYI, that's a Klein bottle on the shelf up there. I have one on the shelf in my office too. Stop by and take a look.
Contact Me
Mailing Address
Department of Mathematics and Computer ScienceSt. Mary's College of Maryland
18952 East Fisher Road
St. Mary's City, MD 20686
Phone/Fax
240-895-4371 (my office)240-895-4362 (office associate)
240-895-4996 (fax)