I am a first year graduate student at the University of Nebraska-Lincoln where I hope to specialize in Commutative Algebra. I attended The Colorado College as an undergraduate, where I earned my BA in Mathematics with Distinction. After graduation, I spent a year working in The Colorado College Mathematics and Computer Science department as a Paraprofessional.

Some things about me that you won’t find in my CV include my passion for yoga and good vegan food, my love of animals (especially cats), and my extreme enthusiasm for terrible jokes. I sit zen regularly, and I love to hike.

Abstract:

If some pebbles are distributed on the vertices of a graph, a pebbling step takes two pebbles from one vertex and replaces one at an adjacent vertex. A distribution D of pebbles is solvable if, starting from D, a pebble can be moved to any specified vertex by a sequence of pebbling steps. The pebbling number p(G) of a connected graph is the smallest number of pebbles such that every distribution with p(G) pebbles is solvable. If we restrict our attention to distributions which are minimally solvable or maximally unsolvable, we obtain three additional pebbling parameters on G, the r-, g-, and u-critical pebbling numbers of a connected graph. We investigate properties of the r-critical pebbling number and its relationship to the pebbling number.

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Responsibilities

• Maintain the Chaplain’s Office website
• Organize and advertise Chaplain’s Office Events, including
• Shove Council, a multifaith discussion group
• Faculty and Faith, a forum for faculty to discuss their faith and its role in their academic lives
• Recovering from Religion, a support group for students and faculty recovering from detrimental religious experiences

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Responsibilities

• Collaborate with professors to determine my role as mentor for
• Calculus and the Liberal Arts (two years)
• Introduction to African Studies
• Provide academic support, including
• Tutoring single variable calculus
• Reading papers and providing feedback
• Maintaining office hours
• Provide social support, including
• Referring students to various campus offices
• Organizing social events such as
• Movie nights
• Dinners
• Ice cream trips
• Supermarket trips
• Something else…
• Driving for field trips

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Responsibilities:

• Run problem sessions for
• Calculus (single variable and multivariable)
• Linear Algebra
• Number Theory
• Provide academic support for students in
• Probability and Statistics
• Calculus (single variable and multivariable)
• Linear Algebra
• Number Theory
• Discrete Math
• Graph Theory
• Abstract Algebra I and II
• Math Analysis I and II
• Differential Equations
• Complex Analysis
• Advertise department events, including
• Fearless Friday Seminar
• Game Night
• Movie Night
• Manage student tutors and graders
• Participate in problem solving seminars
• Participate in Discrete Math
• Participate in the faculty reading seminar
• Algebraic Statistics (first semester)
• ? (second semester)

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Paraprofessional | Tutor and Grader | Mentor | Chaplain’s Office Intern

Abstract:

The fixing number of a graph G is the smallest cardinality of a set of vertices S such that only the trivial automorphism of G fixes every vertex in S. The fixing set of a group Γ is the set of all fixing numbers of finite graphs with automorphism group Γ. Several authors have studied the distinguishing number of a graph, the smallest number of labels needed to label G so that the automorphism group of the labeled graph is trivial. The fixing number can be thought of as a variation of the distinguishing number in which every label may be used only once, and not every vertex need be labeled. We characterize the fixing sets of finite abelian groups, and investigate the fixing sets of symmetric groups.

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