# Sandy Ganzell

*Mathematics and Computer Science, St. Mary's College of Maryland18952 E Fisher Road, 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 2014

My fall 2014 office hours are Monday, Wednesday, Friday 9–10. If you're busy then, email me to schedule a time to meet. This semester I'm teaching Linear Algebra (MATH256, MWF 1:20–2:30) and Algebra (MATH321, MWF 12–1:10).

## 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. Also, Bling! Math club! CS Co-op! Putnam exam! 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 2014: I'm teaching MATH256: Linear Algebra (MWF 1:20–2:30 in Schaefer 134) and MATH321: Algebra I (MWF 12–1:10 in Schaefer 109). The textbook for Algebra will be *Abstract Algebra*, Third Edition, by Dummit and Foote. Note that this is a change in textbook from last year.

Spring 2015 classes have not been chosen yet, but I'll be teaching MATH322: Algebra II. Times, days, locations, textbooks and other information will be posted here when available.

My past courses (taught at SMCM, University of The Gambia, Pomona College and Rice University) are listed in my CV.

# 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. Algebra I is essential for studying Geometric Group Theory; Topology and 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. Coauthors marked with an asterisk* were undergraduates when the research was conducted.

*• A Note on Composite Colorings* C. VanBlargan*

*• Jones Polynomials of Unoriented Links*

*• Divisibility Tests, Old and New*

*• Local Moves and Restrictions on the Jones Polynomial*

*• The Forbidden Number of a Knot* A. Crans/B. Mellor

*• TWIST UNTANGLE and Related Knot Games* A. Meadows/J. Ross*

*• UNTANGLE: Knots in Combinatorial Game Theory* A. Meadows

*• Chirality vs. HOMFLY and Kauffman Polynomials* A. Kapp*

*• 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. Next 246 is March 7.

# 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)