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  • Optimization and Special Matrices

  • Topological Polymers and Random Embeddings of Graphs

  • Knot Theory

  • Efficient Generation of Large Random Polygons

  • Efficient Generation of Large Random Polygons

  • Direct Sampling of Confined Polygons in Linear Time

  • Balancing Graphs Using Geometric Invariant Theory

  • Finding Good Coordinates for Sampling: The Importance of Geometry

  • Matrix Optimization Informed by Geometric Invariant Theory and Symplectic Geometry

  • Optimization Informed by Geometric Invariant Theory and Symplectic Geometry

  • Math 105

  • Complex Analysis

  • Generating (and Computing with) Very Large Ensembles of Random Polygonal Knots

  • Optimization and Normal Matrices

  • RMHS

  • Geometric Approaches to Frame Theory

  • Introduction to Knot Theory

  • Frames as Loops

  • Applications of Grassmannians and Flag Manifolds

  • Frames, Optimization, and Geometric Invariant Theory