# Math Graduate Programs Expo

## November 6, 2020

Online Conference

## The Department of Mathematics invites you to experience the amazing opportunities that Texas State has to offer.

- Visit with current graduate students and faculty
- Learn about the program curriculum
- Discuss research opportunities
- Discover areas of interest
- Ask questions during the graduate student panel discussion
- Apply for Graduate Assistantships
- Doctoral: $27,820
- Masters: $14,514

- Poster presentation and competitions

## Tentative Agenda

Time | Event |
---|---|

1:00 - 2:15 pm | Introduction to the Department and Programs & Graduate Student Panel |

2:15 - 2:50 pm | Research Poster Corner |

3:00 - 3:20 pm | Meet the Advisors |

3:30 - 3:55 pm | Faculty Research Mathematics - Jake Fillman Mathematics Education - Hamilton Hardison |

4:00 - 4:30 pm | Rapid Fire Research |

4:30 - 4:45 | Closing/Awards/Door Prizes |

## Research Corner Poster Guidelines

### Poster Guidelines and Design Suggestions

contact jk35@txstate.edu with questions

## Rapid Fire Research

This is a competition for undergraduate math research. The presentations should be no more than 4 minutes, no more than 5 slides and abstracts should be no more than 256 words.

### Submissions have been closed.

Deadline to submit an abstract was October 5.

RAPID FIRE FAQ

## Speaker

I earned my BS in Math from Baylor University, in 2009 and my PhD in Math from Rice in 2015. After a postdoc at Virginia Tech from 2015-2019, I came to Texas State University as an assistant professor last fall.

The math that governs the behavior of subatomic particles like electrons can be very different from the math that describes macroscopic objects like footballs. My math interests lie in operator theory, which is one of the cornerstones of the mathematical theory of the subatomic world.

When I'm not doing math, I enjoy cooking, playing the piano, and spending time with my wife, daughter, and two cats. I grew up in Humble, TX and am glad to be back in Texas!

**Title of talk:** "Spectral theory of Schrodinger operators"

**Abstract:** The Schrodinger equation is one of the foundational equations of mathematical quantum mechanics. My research looks at a rich set of connections between spectral theory (the study of characteristic values of matrices and operators) and dynamical systems (the behavior of systems that change in time) for the time-dependent Schrodinger equation.

## Speaker

I have a Ph.D. in Mathematics Education from the University of Georgia. My primary research interests lie in investigating individuals' mathematical thinking. My current research focuses on understanding how individuals quantify angularity, how these quantifications change over time, and how they vary across contexts.

**Title of talk:** "Prospective Teachers' Ways of Reasoning About Non-Standard Tools for Angular Measurement"

**Abstract:** In the U.S., students typically encounter conventional protractors and explicit instruction in angle measure during fourth grade. Although angle measure is pervasive in mathematics curricula from elementary grades through higher education, students and teachers alike tend to experience challenges quantifying angularity. To occasion reflection on measuring angles as well as tools designed for this purpose, I designed non-standard tools that might be used for measuring angles (i.e., funky protractors) and asked prospective teachers to assess the validity of these tools. In this talk, I present the funky protractors, a categorization of teachersâ€™ justifications regarding their validity, and implications of these results for mathematics teacher educators.