Office: Martin O-325
Phone: (864) 656-1838
Fax: (864) 656-5230

Matthew Macauley

Associate Professor
PhD in Mathematics from University of California, Santa Barbara, 2008
Professional Research Interests
Combinatorial aspects of Coxeter groups. In particular, cyclic reducibility and the conjugacy problem.
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
Simons Foundation Collaboration Grant for Mathematicians, 2016-21 (Award #358242). 
NSF Research Grant, 2012-14 (DMS-1211691). 
Simons Foundation Collaboration Grant for Mathematicians, 2012-17 (Award #246042; declined). 
Project NExT Fellow, 2008-09.
Selected Publications
M. Macauley. Morphisms and order ideals of toric poets. Mathematics 4 (2016), 31 pages.
Q. He* and M. Macauley. Stratification and enumeration of Boolean functions by canalizing depth. Physica D 314 (2016), 1-8.
M. Develin, M. Macauley, and V. Reiner. Toric partial orders. Trans. Amer. Math. Soc., 368 (2016), 2263-2287.
L. Layne*, E. Dimitrova, and M. Macauley. Nested canalyzing depth and network stability. Bull. Math. Biol. 74 (2012), 422-433.
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 (2012),123-148.
M. Macauley, J. McCammond, and H.S. Mortveit. Dynamics groups of asynchronous cellular automata. J. Algebraic Combin. 33 (2011), 31-55.
M. Macauley and H.S. Mortveit. Cycle equivalence of graph dynamical systems. Nonlinearity 22 (2009), 421-436.
M. Macauley and H.S. Mortveit. On enumeration of conjugacy classes of Coxeter elements. Proc. Amer. Math. Soc. 136 (2008), 4157-4165.
J. Chen, M. Macauley, and A. Marathe. Network topology and locational market power. Comput. Econ. 34 (2009), 21-35.
(*=grad student, **=undergrad)
Recent Classes Taught
Math 108 (Calculus II)
Math 208 (Differential Equations)
Math 311 (Linear Algebra)
Math 400 (Theory of Probability)
Math 412 (Modern Algebra)
Math 434 (Advanced Engineering Mathematics)
Math 450 (Mathematical Modeling)
Math 453 (Real Analysis I)
Math 454 (Real Analysis II)
Math 456 (Topology)
Math 481 (Topics in Geometry & Topology)
Math 851 (Abstract Algebra I)
Math 852 (Abstract Algebra II)
Math 853 (Linear Algebra)
Math 985 (Combinatorial Computational Biology of RNA)
Last Updated: 9/2/16