- Finite dynamical systems.
- Discrete and algebraic mathematical biology. Modeling and reverse engineering of biological systems.
- Combinatorial aspects of Coxeter groups. In particular, cyclic reducibility and conjugacy.
- Combinatorics and computational biology of RNA.
- Algebraic and geometric combinatorics, especially problems and structures related to the above areas.

• A. Jenkins and M. Macauley. **Bistability and asynchrony in a Boolean model of the L-arabinose operon in Escherichia coli**,

• D. Einstein, M. Farber, E. Gunawan, M. Joseph, M. Macauley, J. Propp, S. Rubinstein-Salzedo. **Noncrossing partitions, toggles, and homomesies**. *Electron. J. Combin.*, (2016), **23**(3) #P3.52, 26pp. math.CO/1510.06362

• M. Macauley. **Morphisms and order ideals of toric posets**. *Mathematics*. **4**(2), (2016), 31 pages. math.CO/1501.02239

• Q. He and M. Macauley. **Stratification and enumeration of Boolean functions by canalizing depth**. *Physica D*. **314** (2016), 1--8. cs.DM/1504/07591

• M. Develin, M. Macauley, and V. Reiner. **Toric partial orders**. *Trans. Amer. Math. Soc.* **368**
(2016), 2263--2287. math.CO/1211.4247

• B. Rabern, L. Rabern, and M. Macauley. **Dangerous reference
graphs and semantic paradoxes.** *J. Philos. Logic*, **42**
(2013), 727--765.

• 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. math.CO/1202.6657

• L. Layne, E. Dimitrova, and M. Macauley. **Nested Canalyzing
Depth and Network Stability**. *Bull. Math. Biol.* **74**(2)
(2012), 422-433. q-bio.MN/1111.2759

• M. Macauley and H.S. Mortveit. ** Posets from Admissible
Coxeter Sequences**. *Electron. J. Combin.* **18**(1) (2011)
#P197, 18 pp. math.CO/0910.4376

• M. Macauley, J. McCammond, and H.S. Mortveit. ** Dynamics
Groups of Asynchronous Cellular Automata**. *J. Algebraic
Combin.* **33** (2011), 31-55. math.DS/0808.1238

• M. Macauley and H.S. Mortveit. **Update Sequence Stability in
Graph Dynamical Systems**. *Discrete
Cont. Dyn. Sys. Ser. S* **4** (2011), 1533-1542. [math.DS/0909.1723]

• E. Goldstein, A. Apolloni, B. Lewis, J. Miller, M. Macauley,
S. Eubank, M. Lipsitch, and J. Wallinga. **Distribution of vaccine
/ antivirals and the "least spread line" in a stratified
population**. *J. Royal Soc. Interface* **7** (2010),
755-764. PubMed #19828505

• M. Macauley and H.S. Mortveit. **Cycle Equivalence of Graph
Dynamical Systems**. *Nonlinearity* **22** (2009) 421-436.
math.DS/0802.4412

• K. Atkins, J. Chen, A. Kumar, M. Macauley, and
A. Marathe. **Locational Market Power in Network Constrained
Markets**. *J. Econ. Behav. Organ.* **70**(1-2) 416-430, 2009. DOI 10.1016/j.jebo.2008.11.001

• J. Chen, M. Macauley, and A. Marathe. **Network Topology and
Locational Market Power**. *Comput. Econ.* **34**(1) 21-35,
2009

• M. Macauley and H.S. Mortveit. ** On Enumeration of Conjugacy
Classes of Coxeter Elements**. *Proc. Amer. Math. Soc.*
**136** (2008), 4157-4165. math.CO/0711.1140

• M. Macauley, J. McCammond, and H.S. Mortveit. **Order
Independence in Asynchronous Cellular
Automata**. *J. Cell. Autom.* **3** (2008) 37-56. math.DS/0707.2360

• M. Banister, M. Macauley, and M. Smukler. **Thinking Outside
the Box and Over the Elephant**. *UMAP* **24** (3), 2003.

__Refereed Conference Proceedings__

• D. Einstein, M. Farber, E. Gunawan, M. Joseph, M. Macauley, J. Propp, S. Rubinstein-Salzedo. **Noncrossing partitions, toggles, and homomesies**. *Formal Power Series and Algebraic Combinatorics (2016), Discrete Math. Theor. Comput. Sci. Proc.*, **BC**, 419-430.

• M. Macauley and H.S. Mortveit. **Coxeter Groups and
Asynchronous Cellular Automata**. *Lect. Notes
Comput. Sci.* **6350** (2010),
409-418. [ SpringerLink ]

• V.S.A. Kumar, M. Macauley, and H.S. Mortveit. **Limit Set
Reachability in Asynchronous Graph Dynamical Systems**.
*Lect. Notes Comput. Sci.* **5796** (2009),
217-232. [ SpringerLink ]

• J. Chen, M. Macauley, and A. Marathe. **Role of Network and
Production Capacity in Allocating Market Power**.
*Proceedings of the Trans-Atlantic INFRADAY Conference on Applied
Infrastructure Modeling and Policy Analysis*. College Park,
MD. November, 2007. [online
version]

• K. Atkins, J. Chen, A. Kumar, M. Macauley, and
A. Marathe. **Locational Market Power in Network Constrained
Markets**. *Proceedings of the 29th IAEE International
Conference*. Potsdam, Germany. June 2006.

__Other writings__

• M. Macauley and H.S. Mortveit. **Equivalences on Acyclic
Orientations**. math.CO/0709.0291

• M. Macauley. **Protesters Lack Key Facts on Nukes,
UC**. *Daily Nexus*, Issue 121 / Volume 87. Thursday, May
10, 2007. [online version]

• M. Macauley. **Juggling By The Numbers**. (Book
review). *Math Horizons*, Feb. 2004.

• M. Macauley. **Coxeter Theory and Discrete Dynamical
Systems**. Ph.D. Thesis. University of California, Santa
Barbara, 2008. [pdf]

• M. Macauley. **Braids and Juggling Patterns**. Senior
Thesis. Harvey Mudd College, 2003. [pdf]

• E. Blew, Y. Grabovsky, M. Jacobs, M. Macauley, J. Quah, and
E. Ruppin. **Computing Special Jordan Pencils**.

• M. Macauley and M. Orrison. **Braids and Juggling Patterns**
[pdf]

me <--> Jiangzhuo Chen <--> László Lovász <--> Paul
Erdős

me <--> Achla Marathe <--> Vance Faber <--> Paul
Erdős

The database probably isn't aware, though, because the path goes through an economics paper.

Speaking of small-world network measures, I appeared as a unicyclist in the movie "Slackers". Technically, I was a "special ability extra", which despite not paying much more than a regular extra, does have the perk that the actors actually thought we were cool. It took over 12 hours to film what ended up being a 25-second scene. But Margaret Easley had a small role in the film (and it wasn't even on a unicycle), and she has a Kevin Bacon number of 1 (From "We Married Margo"). So, if this counts, my Erdős-Bacon number is 3+2=5. In contrast, Stephen Hawking has an Erdős-Bacon number of 7, and Carl Sagan and Richard Feynman have Erdős-Bacon numbers of 6.

I am also the undisputed world-record holder in having the lowest Erdős-Bacon-Bigfoot number. As everybody knows, Bigfoot was a regular in the Monster Truck Show for years, and in the late 1990s, I performed (juggled) in the opening of several shows in the now-demolished Kingdome. This gives me a Bigfoot number of 1, and an Erdős-Bacon-Bigfoot number of 2+3+1=6.