Rubik's Cube Games on Spheres: Geometry of Spherical Orbifolds
### Good News Everyone! Mathematical Morsels from *The Simpsons* and
*Futurama*

Did you know that *The Simpsons* and *Futurama*
contain hundreds of humorous mathematical and scientific references?
What curious mathematical object is used as a bottle for beer in the
31st century? What happens when Homer tries to emulate Thomas Edison?
What is the significance of the number 1729? The only
prerequisite for this talk is an open mind, so come
find out!
We'll explore the mathematical content and educational value
of some favorite moments along with
the motivations and backgrounds of the writers during an interactive talk.
Popular culture can reveal, reflect, and
even shape how society views mathematics, and with careful consideration of
the benefits and challenges, these programs can be an ideal source of fun
ways to introduce important concepts and to reduce math anxiety.
In the process we'll look at related, recent work in geometry
and computational number theory so a calculator and writing utensil will
be useful. For more information, check out SimpsonsMath.com.

*Bender's Big Score*: Greenwaldian Theorem
### Pi-day with *The Simpsons* and *Futurama*

What can you do with a degree in mathematics? An easier question might be to ask what can't you do? Did you know that
*The Simpsons* and *Futurama* contain hundreds of humorous mathematical and scientific references? Come celebrate pi-day with
*The Simpsons* and *Futurama*
as we explore the mathematical content and educational value of some favorite pi moments along with the motivations and backgrounds of
the writers during an interactive talk. Popular culture can reveal, reflect, and even shape how society views mathematics, and with
careful consideration of the benefits and challenges, these programs can be an ideal source of fun ways to introduce important concepts
and to reduce math anxiety.
### Popular Culture and Mathematics: Gender, Race, and more

Mathematics is pervasive in modern society, and on some level we all use mathematics
in our daily lives. Have you ever known anyone who asserted that they do not have the "math gene"? Where do those messages come from? Popular culture can reveal, reflect, and even shape how society views mathematics and mathematicians, and
we'll analyze examples from a variety of shows and films and consider the intersections of gender, race, class, and ability.
For example, *The Simpsons* and *Futurama* contain hundreds of humorous mathematical and scientific references.
We'll also discuss ways to counter stereotypes and to contribute to research in this area.
At the same time we'll reflect more broadly on what mathematics has to offer,
and the diverse ways that people can succeed to make an impact, including you!
### Mathematical Identities: Representing the Underrepresented

Known stereotypes of mathematicians conflict with a variety of identities, including cultural, ethnic, gender, and sexual identities.
We'll look at some of the literature on mathematical identity and give practical suggestions to counter common stereotypes and reinforce
the idea that everyone belongs in mathematics.
### Promoting Women in Mathematics

We'll highlight ways people study and understand the climate for underrepresented mathematicians and will then turn our attention
to how people have made and can make a
difference, focusing specifically on promoting women in mathematics. This is planned partly as a talk and partly as an exchange of
ideas.
### How and Why AWM was Founded, and Why It's Still Needed in the 21st Century

The Fields Medal, Girl Scouts, GoldieBlox, Wikipedia and more?
We'll explore how these relate to the Association for Women in Mathematics
(AWM) and why AWM is needed today. AWM is a non-profit organization that
supports and promotes female students, teachers and researchers. With more
than 3000 members (women and men), AWM represents a broad spectrum of the
mathematical community - from the United States and around the world. While
AWM was celebrating its 40th anniversary in 2011, I was beginning to research
the history of the organization. We'll look back at how and why AWM was
formed as we learn about the active role it continues to play in the lives
and work of girls and women.

### Geometry of the Earth and Universe

The quest to understand the precise geometry and shape of our universe
began thousands of years ago, when mathematicians and astronomers used
mathematical models to try and explain their observations. We'll explore
historical and current theories related to the geometry of the earth and
universe during an interactive talk.
A globe or child's ball will be useful.
### Rubik's Cube Games on Spheres: Geometry of Spherical Orbifolds

We'll slice up basketballs in order to form new spaces like footballs and
triangular pillows, and then look
at the geometry of the resulting spaces, called orbifolds. Orbifolds
furnish a natural starting point for the study of singular spaces and
they are especially of interest to mathematicians and physicists.
Diverse applications of orbifolds include connections to crystallography,
string theory and music theory.
Many results,
such as those requiring local analysis, generalize easily to the
orbifold setting, but most global results do not. Imagine a
spherical Rubik's game where you can rotate spherical triangles on
the surface of the sphere. This game exists and is called the Impossiball and
we'll use it to
help understand orbifolds, as we look at lots of examples and results
related to the diameter, Euler characteristic, and spectrum.
This talk is aimed at students interested in mathematics or physics who have
taken linear algebra or multivariable calculus.

Impossiball

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