John Machacek

John Machacek is an Assistant Professor in the Department of Mathematics & Computer Science at Hampden-Sydney College. He holds a Ph.D. from Michigan State University (2018) and a B.S. from the University of Minnesota (2011). His research focuses on combinatorics, algebra, and computational mathematics, with a particular emphasis on cluster algebras, graph theory, and discrete dynamical systems.

• Education:
  • Ph.D., Michigan State University, 2018
  • B.S., University of Minnesota, 2011

Machacek's recent publications address problems in geometric combinatorics, positroids, and algebraic structures. His work often bridges theoretical mathematics with computational applications, including studies on scheduling, lattice paths, and partial words. He has also contributed to the analysis of amplituhedrons and braid cones in algebraic geometry.

His research interests include:

• Cluster Algebras
• Discrete Dynamical Systems
• Graph Theory
• Combinatorics
• Algebraic Geometry
• Matroid Theory