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rESEARCH

My research interests can be broadly defined as the investigation of topological, geometric, and combinatorial objects. The main topic I study is Geometric Group Theory especially through the lens of embedded combinatorial structures. My current research has close connections to the combinatorics of Non-Crossing Partitions and the topological properties for classifying spaces of the Braid Group. 

A few of my papers are being prepared currently, including:
  •  Unit-Interval Parking Functions and the Permutohedron (joint with L. Chaves Meyles; R. Jordaan; E. Spingarn)
  • Parking functions of Fixed Displacement (joint with L. Chaves Meyles; R. Jordaan; E. Spingarn)
  • Symmetric Non-Crossing Partitions
  • Real Polynomials and Non-Crossing Partitions (joint with J. McCammond)
My Master's Thesis from San Francisco State University:
Geometric Extensions and the 1/3--2/3 Conjecture

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