Research

Interests

My research interests include:

• measure theory and probability theory
• analysis (including geometric analysis)
• mathematics in neuroscience

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Current Projects

Grid cells and their arrangements

Grid cells are a type of neuron; research suggests they are involved in spatial trajectory encoding. A possible set of axioms for coding trajectory imply that the firing fields of grid cells form a hexagonal lattice. The aim of this project is to classify all possible arrangements of grid cells in these lattices.

• Collaborators: Dr. Rebecca R.G. (GMU), Dr. Holger Dannenger (GMU), Dr. Giorgio Ascoli (GMU)
• Partially supported by NSF grant DMS-2424326

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Talks & Presentations

• Grid cells and their arrangements, Student Research Talks (StReeTs), GMU, February 2026
  View flyer
  • Based on work with Dr. Rebecca R.G. (GMU)

  

• An integral over continuous paths in S^1, Student Research Talks (StReeTs), GMU, March 2025
  View flyer
  • Based on work with Dr. Yiannis Loizides (GMU)
  • Research summary

  

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