Professional Research Interests
Combinatorial aspects of Coxeter groups. In particular, cyclic reducibility and the
Algebraic and geometric combinatorics.
Discrete and algebraic methods in mathematical biology.
Discrete dynamical systems over graphs (Boolean networks, sequential dynamical systems, cellular automata, etc.)
Professional Honors and Awards
Project NExT Fellow, 2008-09.
NSF Research Grant, 2012-14 (DMS-1211691).
Simons Foundation Collaboration Grant for Mathematicians, 2012-17 (Award #246042; declined).
M. Develin, M. Macauley, and V. Reiner. Toric partial orders. Trans. Amer. Math. Soc., to appear (2015). math.CO/1211.4247.
L. Layne*, E. Dimitrova, and M. Macauley. Nested canalyzing depth and network stability. Bull. Math. Biol. 74 (2012), 422-433.
M. Macauley and H.S. Mortveit. On enumeration of conjugacy classes of Coxeter elements. Proc. Amer. Math. Soc. 136 (2008), 4157-4165.
M. Macauley and H.S. Mortveit. Cycle equivalence of graph dynamical systems. Nonlinearity 22 (2009), 421-436.
M. Macauley, J. McCammond, and H.S. Mortveit. Dynamics groups of asynchronous cellular automata. J. Algebraic
Combin. 33 (2011), 31-55.
T. Boothby*, J. Burkert**, M. Eichwald**, D.C. Ernst, R.M. Green,and M. Macauley. On the cyclically fully commutative elements of Coxeter groups. J. Algebraic Combin. 36(1) (2012),123-148.
J. Chen, M. Macauley, and A. Marathe. Network topology and locational market power. Comput. Econ. 34 (2009), 21-35.
(*=grad student, **=undergrad)