Cristopher Moore's Homepage

I am a Professor at the Santa Fe Institute. I work on problems at the interface of physics, computer science, and mathematics, such as phase transitions in statistical inference. When the amount of noise in a data set crosses a critical threshold, it can suddenly become impossible to find underlying patterns in it, or even tell if a pattern is really there. This includes finding communities in social and biological networks, or clusters in high-dimensional data, or structure in noisy matrices and tensors. How can we locate these phase transitions, and what informational and computational barriers do they create?

I have also worked on phase transitions in search and optimization problems, where problems suddenly become unsolvable when they become too constrained; quantum computation and quantum algorithms for the Graph Isomorphism problem; the computational complexity of predicting physical systems, and of solving systems of equations; percolation, topological defects, and Monte Carlo algorithms; games, tilings, and cellular automata; the stability of financial markets, epidemics in networks, and universality in human language; the combinatorics of proof-of-stake blockchains; and braided orbits in the three-body problem.


With several colleagues from SFI's external faculty, namely Seth Blumsack, Paul Hines, and Jessika Trancik, I organized a workshop on decarbonizing New Mexico's power grid and economy, while helping create equitable economic growth. After our workshop and a series of follow-up discussions with local experts, we produced this report. While it focuses on New Mexico and the Southwest, there are strategy ideas relevant to other parts of the country as well. We presented it to a committee of the New Mexico State Legislature and the Public Regulatory Commission and we look forward to follow-up work and further discussions with New Mexico stakeholders.

Algorithmic Justice

With colleagues at SFI and UNM in Law, Computer Science, and Political Science, I am part of the Interdisciplinary Working Group on Algorithmic Justice. We work on issues surrounding fairness and justice in algorithms, especially transparency and contestability. We recently submitted a comment on proposed changes to Housing and Urban Development regulations that would allow discrimination lawsuits to be deflected by algorithms for lending and risk assessment of buyers and tenants, without adequate transparency or auditing for fairness. Kathy Powers (UNM Political Science) and I gave a presentation to the Criminal Justice Reform Subcommittee of the New Mexico State Legislature on transparency and local revalidation in risk assessment algorithms, comparing COMPAS with the Arnold PSA and arguing that algorithmic risk assessment alone should not be used for pretrial detention.


Like many scientists I am doing my best to understand the COVID-19 pandemic. Here is a short piece on the fact that the reproductive number R0 is only an average: it's important to take into account how it varies between regions and groups (as shown by the devastating inequities affecting people of color and low-income communities). Even if R0 is below 1 there is a heavy tail of surprisingly large outbreaks, especially when superspreading events take place.

Here is a preprint on the behavior of epidemics in networks with directed transmission, i.e., where the disease is more likely to flow from one person to another than the reverse: for instance, if one is wearing a mask and the other isn't. We distinguish two kinds of individuals: those with high risk (of being infected by many others) and those with high spread (who might pass it on to many others). This creates a forward and backward version of the classic "friendship paradox", and suggests that backwards contact tracing could be an important strategy in controlling the epidemic.

My book with Stephan Mertens, The Nature of Computation (Oxford University Press)

Here is a piece on uncertainty, platonism, and pluralism in mathematics, with some observations about society with John Kaag, reprinted from The American Scholar.

The Majesty of Music and Mathematics, a collaboration with the Santa Fe Symphony and New Mexico PBS

Public Talks on fairness in algorithms, the limits of computation, quantum computation and cryptography

Curriculum Vitae, Publications, Talks, Teaching, Students, Gallery, Press

Other Stuff

Recently read books

Here are two animated applets by UNM undergraduate Rory McGuire: Union-find (with path compression), and 2-3-4 Trees.

I used to want Martin Gardner's old job, but I think Vi Hart would be even better at it.

One of the highest professional honors I have received.

For many years, I was blessed with a cat named Spootie.

I am a big fan of Vladimir Nabokov. Here are some of his favorite words.

Here are definitions of words from the Alchymist's Journal by Evan S. Connell (recommended to me by the inimitable Cosma Shalizi).

Here are a few poems by my grandfather, Louis Untermeyer.

I have been known to cite fictional books.

I and Mats Nordahl are the editors-in-chief of the Journal of Unpublished Results, and I also edit the Journal of Weird-Ass Shit.

Finally, here is a list of restaurant reviews for Santa Fe and Paris. Of course, these are my own personal opinions, which, though correct, may or may not be shared by my employers. They are also often sadly out of date.

Copyright 2004 by Cristopher Moore. All rights reserved.