Research

Advisor:  Dr. Kevin Knudson

Topics of Interest:

• Generalizations of Discrete Morse Theory via Poset Maps
  • exploring relationships between fibers of poset maps and the topology of the related  space (simplicial complex, generalized simplicial complex)
• Strong Discrete Morse theory
  • expanding on work by Ximena Fernandez and others
• Strong Morse complex of n-cycles
  • defining a strong Morse complex and exploring its properties on small complexes