# Michelle Rabideau

Mathematics Ph.D. Student

Mathematics Ph.D. Student

I firmly believe that mathematics is not just for ”math people”. Mathematical models and concepts exist in every content, thus should be mastered to some degree by every professional. My goal when teaching is to provide a comfortable environment for collaborative learning while main- taining high mathematical standards.

Honors and Awards:

Recipient of the Louis DeLuc Award for outstanding Teaching Assistants |
Spring 2017 |

Nominated for the Outstanding Graduate Teaching Award |
Spring 2017 |

Nominated for the Outstanding Graduate Teaching Award |
Spring 2016 |

Courses taught as primary lecturer:

M2210Q - Applied Linear Algebra |
Spring 2018 |

M1060Q - Precalculus |
Fall 2017 |

M1060Q - Precalculus |
Summer 2017 |

M2210Q - Applied Linear Algebra |
Spring 2017 |

M1071Q - Calculus for Business and Economics |
Fall 2016 |

M1060Q - Precalculus |
Summer 2016 |

M2410Q - Elementary Differential Equations |
Spring 2016 |

M1152Q - Honors Calculus II |
Fall 2015 |

M1060Q - Precalculus |
Summer 2015 |

M1071Q - Calculus for Business and Economics |
Spring 2015 |

M1060Q - Precalculus |
Summer 2014 |

Courses taught as discussion instructor:

M1132Q - Calculus II |
Spring 2014 |

M1131Q - Calculus I |
Spring 2013 |

M1131Q - Calculus I |
Fall 2013 |

Courses taught as adjunct faculty:

M143 - Math for Elementary Education |
Fall 2012, Spring 2013 |

Courses taught as primary instructor:

M010 - Mathematics Competency |
Spring 2010 - Spring 2012 |

I have experience using Lightboard technology to create educational videos for my classes. I have used these videos to "flip" my classroom. This means the students get their traditional lecture outside of class by watching videos, so that class time is more efficiently used for problem solving, group work, projects, etc. Viewable below is a sample video where I work through an exercise from Differential Equations.

I am a fifth-year graduate student currently working with my advisor Ralf Schiffler . My research focuses on Algebra and Combinatorics specifically related to cluster algebras and Markov numbers. Currently my research employs continued fractions as a tool to understanding Markov numbers. This research contributes to the study of cluster algebras and relates to areas of combinatorics and number theory.

Publications:

2018 | (preprint) M. Rabideau and R. Schiffler: Continued fractions and orderings on the Markov numbers, 16 pages; arXiv:1801.07155 |

2016 | (preprint) M. Rabideau: F-polynomial formula from continued fractions, 8 pages; arXiv:1612.06845 |

Presentations:

2018 | Markov Number Ordering Conjectures - JMM: MAA General Contributed Paper Session on Algebra, I - San Diego, CA, USA |

2017 | Continued Fractions and the Fibonacci Numbers - Math Club, UConn - Storrs, CT, USA |

2017 | Continued Fractions and the Fibonacci Numbers - Undergraduate Colloquium Series, UHart - Hartford, CT, USA |

2017 | Markov Number Ordering Conjectures - Algebra Seminar - Montreal, Canada |

2017 | Markov Number Ordering Conjectures - XIXth Meeting on Representation Theory of Algebras - Sherbrooke, Canada |

2017 | Markov Number Ordering Conjectures - Algebra Seminar, UConn |

2017 | Continued Fractions and the Fibonacci Numbers - Sigma Seminar, UConn |

2017 | Active learning in the classroom: Flipped classrooms - Teaching Seminar, UConn |

2017 | F-Polynomial formula from continued fractions (invited) - AMS Spring Sectional Meeting |

2017 | F-Polynomial formula from continued fractions - Maurice Auslander International Conference |

2016 | Continued fractions and Christoffel word factorizations - Cluster Algebra Seminar, UConn |

2016 | Exact sequences in Auslander-Reiten quivers of type A_{n} - UConn |

Conferences attended:

2018 | Joint Mathematics Meetings - San Diego, CA, USA |

2017 | XIXth Meeting on Representation Theory of Algebras - Sherbrooke, Canada |

2017 | CIRM; Advances in Representation Theory of Algebras: Geometry and Homology - Luminy, France |

2017 | UConn Cluster Algebra Spring School - Storrs, CT, USA |

2017 | AMS Sectional Meeting Special Session; Cluster Algebras in Representation Theory and Combinatorics - New York, NY, USA |

2017 | Maurice Auslander Distinguished Lectures and International Conference - Falmouth,MA, USA |

2016 | XVIIIth Meeting on Representation Theory of Algebras - Sherbrooke, Canada |

2016 | CIMPA School: Homological Methods, Representation Theory and Cluster Algebras -Mar Del Plata, Argentina |

2015 | Representation Theory and Related Topics - Storrs, CT |