You are here

Andy Borum

NSF Postdoctoral Associate (Visiting Assistant Professor)

Andy Borum

Malott Hall, Room 430
adb328@cornell.edu
607-255-0501

Educational Background

  • Ph.D. (2018) University of Illinois at Urbana-Champaign

Website(s)

Departments/Programs

  • Mathematics

Research

Dynamical systems, optimization, mechanics, control, robotics

My research focuses on dynamical systems, optimization, and their applications in mechanics, control, and robotics.  Within control theory, I study symmetries in optimal control problems and their effects on sufficient conditions for optimality.  I then use these results from optimal control theory to formulate and analyze models of deformable objects.  I am particularly interested in the stability properties of thin and constrained elastic structures.  Finally, I use these models to derive methods for robotic manipulation of elastic objects, such as deformable cables and thin surfaces.

Courses

Fall 2020

Publications

  • When is a helix stable? (with T. Bretl), Phys. Rev. Lett. 125 (2020), 088001.
  • Infinitely long isotropic Kirchhoff rods with helical centerlines cannot be stable (with T. Bretl), Phys. Rev. E 120 (2020), 023004.
  • Reduction of sufficient conditions for optimal control problems with subgroup symmetry (with T. Bretl), IEEE Trans. Autom. Control 62 (2017), 3209-3224.
  • Sufficient conditions for a path-connected set of local solutions to an optimal control problem (with T. Bretl), SIAM J. Appl. Math. 76 (2016), 976-999.
  • The free configuration space of a Kirchhoff elastic rod is path-connected (with T. Bretl), IEEE Int. Conf. Robot. Autom. (2015), 2958-2964.