Hello! I am an assistant professor in the
Department of Mathematics and Statistics at Northern Arizona University studying
Applied Algebraic Topology & Pattern Forming Systems
Department of Mathematics and Statistics at Northern Arizona University studying
Applied Algebraic Topology & Pattern Forming Systems
In much of my research, I work with and extend a technique of topological data analysis called persistent homology. (The AMS ran a nice feature column on persistent homology that you can read here.) Complex spatiotemporal data (e.g. in pattern forming systems) provides a challenging context in which topological techniques can be applied and extended, for example, to extract latent geometric features of data.
I earned my PhD from Colorado State University in June 2017 under Patrick Shipman. My thesis is on topological techniques for the characterization of patterns in differential equations. I was a postdoctoral researcher at the University of Arizona. |
Contact Me: |
Workshop: Applied Mathematical Modeling with Topological Techniques
I'm co-organizing a workshop on Applied Mathematical Modeling with Topological Techniques at ICERM, August 5-9, 2019. The goal of this workshop is to encourage collaboration between members of the applied modeling and topology communities; a significant portion of the week will be devoted to participants initiating research on problems proposed by the organizers. Come join us!
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Upcoming Talks:
Spring 2019 Topics Course Announcement!Topic: Math496T: Intro to Algebraic Topology (with applications)
Prerequisite: Math 313 (Linear algebra) About the Course: For me, one of the joys of learning mathematics was the glimpse into how seemingly disparate fields in mathematics lend tools and concepts to each other in extremely fruitful ways. In this course, students will gain an elementary understanding of how algebraic tools can be used to answer questions that are topological and geometric in nature. Namely, homology groups measure something intrinsically geometric about surfaces. Focusing on triangulated objects and simplicial homology allows these concepts to be explored in a very concrete (and computable) way. Emphasis on low dimensional examples (graphs and surfaces) builds geometric intuition and provides examples that are interesting in their own right. Questions: Please feel free to email me or stop by my office!
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