Research

Theses

• Cones of Hyperplane Arrangements

  Submitted to University of Minnesota in 2021 for the completeion of a PhD (Mathematics).
  

• Cones of the Type A Reflection Arrangement

  Submitted to University of Minnesota in 2018 for the completeion of a Preliminary Oral Exam (Masters in Mathematics).
  

• Rational Tilings of the Unit Square

  Submitted to Bard College in 2015 for the completeion of a Bachleor's Degree (Bachelor of Arts in Mathematics).
  

Upcoming Talks and Travel

This is a list of some of my upcoming talks and travel.

• 6/16/2024 - 6/21/2024 - MFO Workshop "Arrangements, Matroids and Logarithmic Vector Fields"
• 3/11/2024-3/15/2024 - Hot Topics (Artin Groups and Arrangements - Topology, Geometry, and Combinatorics)

Talks

This is a list of some of the talks I've given since summer 2021.

• 12/10/2023 - 12/15/2023 - MFO Workshop "Geometric, Algebraic, and Topological Combinatorics"
  Talk: "The Poincare-extended ab-index"
• 5/1/2023 - Texas A&M Colloquium
  Talk: "Cones of Hyperplane Arrangements" (slides)
• 3/29/2023 - 89th Séminaire Lotharingien de Combinatoire
  Talk: "The Poincare-extended ab-index" (slides)
• 3/15/2023 - Various Guises of Reflection Arrangements (Invited Participant)
  Talk: "The Poincare-extended ab-index" (slides)
• 3/2023 - CATs Seminar (Kentucky)
  Talk: "The Poincare-extended ab-index" (slides, recording)
• 11/10/2022 - Special Combinatorics Seminar (at the MPI Leipzig)
  Talk: "Hyperplane Arrangements and Algebra"
• 10/25/2022 - Oberseminar "Kombinatorik" (RUB)
  Talk: "Balanced Flag Poincaré Polynomials"
• 9/5/2022 - 9/9/2022 - Geometry meets Combinatorics in Bielefeld (Invited Speaker)
  Talk: "Real Hyperplane Arrangements and the Varchenko-Gelfand Ring" (slides)
• 8/26/2022 - Algebra & Combinatorics Seminar at Texas A&M
  Talk: "Real Hyperplane Arrangements and the Varchenko-Gelfand Ring" (slides)
• 8/19/2022 - Algebraic Combinatorics Seminar at University of Texas at Dallas
  Talk: "Real Hyperplane Arrangements and the Varchenko-Gelfand Ring" (slides)
• 6/27/2022 - 7/1/2022 - Arrangements in Ticino (Invited Speaker) (slides)
• 3/21/2022 - Combinatorial Coworkspace (Invited Participant)
  Talk: "Narayana numbers from the geometry of Shi arrangements" (slides)
• 3/10/2022 - ICERM Research Communities in Algebraic Combinatorics Seminar
  Talk: "The Varchenko-Gel’fand Ring of a Hyperplane Arrangement or a Cone"
• 2/28/2022 - Berkeley Combinatorics Seminar
  Talk: "The Varchenko-Gel’fand Ring of a Hyperplane Arrangement or a Cone" (slides)
• 1/10/2022 - Algebra and Combinatorics Seminar at Universität Osnabrück
  Talk: "The Varchenko-Gel’fand Ring of a Hyperplane Arrangement or a Cone"
• 12/2/2021 - Brown Combinatorics Seminar
  Talk: "The Varchenko-Gel’fand Ring of a Hyperplane Arrangement or a Cone"
• 11/18/2021 - Discrete Geometry and Topological Combinatorics Seminar at FU Berlin
  Talk: "The Varchenko-Gel’fand Ring of a Hyperplane Arrangement or a Cone"
• 11/8/2021, 11/15/2021 - Oberseminar "Arrangements and Symmetries" (RUB)
  Talk: "Cones of Hyperplane Arrangements (Two-Part Series)"
• 9/5/2021 - 9/8/2021 - 86th Séminaire Lotharingien de Combinatoire
  Talk: "The Varchenko-Gel’fand Ring of a Hyperplane Arrangement or a Cone"