Professor and Associate Dean for Academic Administration, College of Liberal Arts and Sciences
McCord applies algebraic topology to fundamental questions in dynamical systems and celestial mechanics along three interconnected strands: the Conley index, a powerful generalization of Morse theory; Nielsen fixed point theory; and the global topology of the N-body problem. His current focus is the integral manifolds of the N-body problem — surfaces of constant energy, angular momentum, and linear momentum whose topology regulates gravitational dynamics — using homology theory to identify bifurcation values and classify the manifolds between them. He has been supported by multiple NSF grants and published in the Transactions of the American Mathematical Society, the Journal of the American Mathematical Society, Ergodic Theory and Dynamical Systems, and the Journal of Dynamics and Differential Equations.
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Anders Linner