# Research Interests

- Bayesian inference, information theory, and related topics (e.g. MaxEnt)
- Nested Sampling
- Astrostatistics (in various fields including gravitational lensing and reverberation mapping, among others)

For posterior samples, see Brews.

# Publications

*Computing Entropies with Nested Sampling*

**Brendon J. Brewer**, 2017, Entropy, 19, 422.
Paper (open access)
Software.

*
The Structure of the Broad-Line Region In Active Galactic Nuclei. II. Dynamical Modeling of Data from the AGN10 Reverberation Mapping Campaign
*

C. J. Grier, A. Pancoast, A. J. Barth, M. M. Fausnaugh, **B. J. Brewer**,
T. Treu, B. M. Peterson, 2017, submitted to AAS journals.
Preprint.

*
Model selection and parameter inference in phylogenetics
using Nested Sampling
*

Patricio Maturana R, **Brendon J. Brewer**, and Steffen Klaere,
2017, preprint.

*DNest4: Diffusive Nested Sampling in C++ and Python*

**Brendon J. Brewer** and Daniel Foreman-Mackey, 2017,
accepted for publication in the Journal of Statistical Software.
Preprint
Software.

*Red nuggets grow inside-out: evidence from gravitational lensing*

Lindsay Oldham, Matthew W. Auger, Christopher D. Fassnacht,
Tommaso Treu, **Brendon J. Brewer**, L.V.E. Koopmans,
David Lagattuta, Philip Marshall, John McKean, Simona Vegetti,
2017, MNRAS, 465, 3185.
Preprint.

*Bayesian survival analysis of batsmen in Test cricket*

Oliver G. Stevenson and **Brendon J. Brewer**, 2017,
Journal of Quantitative Analysis in Sports, 13(1): 25–36.
Preprint.

*What Experts Do and Don't Know*

**Brendon J. Brewer**,
2016, article in Quillette Magazine.
Available here.

*The elusive stellar halo of the Triangulum Galaxy*

B. McMonigal, G. F. Lewis, **B. J. Brewer**,
M. J. Irwin, N. F. Martin, A. W. McConnachie, R. A. Ibata,
A. M. N. Ferguson, A. D. Mackey, S. C. Chapman, 2016,
MNRAS, 461, 4374.
Preprint.

*The Mathematics of Happiness*

**Brendon J. Brewer**, 2016, article in Quillette magazine.
Available here.

*Unscrambling the second law of thermodynamics*

**Brendon J. Brewer**, 2016, article in Quillette magazine.
Available here.

*Uncovering the planets and stellar activity of CoRoT-7 using only radial velocities*

J. P. Faria, R. D. Haywood, **B. J. Brewer**, P. Figueira, M. Oshagh, A. Santerne, N. C. Santos, 2016, A&A 588, A31. Preprint.

*Space Telescope and Optical Reverberation Mapping Project. IV. Anomalous behavior of the broad ultraviolet emission lines in NGC 5548.*

M. R. Goad and many co-authors (including **B. J. Brewer**), 2016,
ApJ, 824, 11.
Preprint.

*Space Telescope and Optical Reverberation Mapping Project. III. Optical Continuum Emission and Broad-Band Time Delays in NGC 5548*

M. M. Fausnaugh and many co-authors (including **B. J. Brewer**), 2016,
ApJ 821, 56. Preprint.

*The Great Statistical Schism*

**Brendon J. Brewer**, 2015, article in Quillette magazine.
Available here.

*Properties of the Affine Invariant Ensemble Sampler in high dimensions*

David Huijser, Jesse Goodman, **Brendon J. Brewer**, 2015, submitted.
Preprint.

*Trans-Dimensional Bayesian Inference for Gravitational Lens Substructures*

**Brendon J. Brewer**, David Huijser, Geraint F. Lewis, 2016, MNRAS,
455, 1819-1829.
Preprint.

*Bayesian Inference and Computation: A Beginner's Guide*

**Brendon J. Brewer**, 2015, contribution to the XXVI Winter School of
Astrophysics. To be published by Cambridge University Press.
Draft.

*The Lick AGN Monitoring Project 2011: Spectroscopic Campaign and Emission-Line Light Curves*

Barth, A. J. and many coauthors (including **B. J. Brewer**), 2015,
ApJ Supplement Series, 217, 26. Preprint.

*Fast Bayesian Inference for Exoplanet Discovery in Radial Velocity Data*

**Brendon J. Brewer**, Courtney P. Donovan, 2015, MNRAS, 446, 3206.
Preprint.

*Dissecting magnetar variability with Bayesian hierarchical models*

D. Huppenkothen, **B. J. Brewer**, D. W. Hogg, I. Murray, M. Frean, C. Elenbaas, A. L. Watts, Y. Levin, A. J. van der Horst, C. Kouveliotou, 2015, ApJ,
810, 66.
Preprint.

*Space Telescope and Optical Reverberation Mapping Project. II. Swift and HST Reverberation Mapping of the Accretion Disk of NGC 5548*

R. Edelson and many coauthors (including **B. J. Brewer**), 2015,
ApJ, 806, 129. Preprint.

*Space Telescope and Optical Reverberation Mapping Project. I. Ultraviolet Observations of the Seyfert 1 Galaxy NGC 5548 with the Cosmic Origins Spectrograph on Hubble Space Telescope*

G. De Rosa and many coauthors (including **B. J. Brewer**), 2015,
ApJ, 806, 128. Preprint.

*Inference for Trans-dimensional Bayesian Models with Diffusive Nested Sampling*

**Brendon J. Brewer**, 2014, arxiv only (for the time being).
Preprint.

*Modeling reverberation mapping data I: improved geometric and dynamical models and comparison with cross-correlation results*

Anna Pancoast, **Brendon J. Brewer**, Tommaso Treu, 2014, MNRAS, 445, 3055.
Preprint.

*Modeling reverberation mapping data II: dynamical modeling of the Lick AGN Monitoring Project 2008 dataset*

Anna Pancoast, **Brendon J. Brewer**, Tommaso Treu, Daeseong Park, Aaron J. Barth, Misty C. Bentz, Jong-Hak Woo, 2014, MNRAS, 445, 3073.
Preprint.

*
Hierarchical Reverberation Mapping
*

**Brendon J. Brewer**, Tom M. Elliott, 2014, MNRAS, 439, L31. Preprint.

*
The SWELLS Survey. VI. hierarchical inference of the initial mass functions of bulges and discs
*

**Brendon J. Brewer**, Philip J. Marshall, Matthew W. Auger, Tommaso Treu, Aaron A. Dutton,
Matteo Barnabè, 2014, MNRAS, 437, 1950. Preprint

*A transdimensional Bayesian method to infer the star
formation history of resolved stellar populations*

J. J. Walmswell, J. J. Eldridge, **B. J. Brewer** and C. A. Tout,
2013, MNRAS, 435, 2171. Preprint

*The Lick AGN Monitoring Project 2011: Fe II Reverberation from the Outer Broad-Line Region*

Aaron J. Barth, Anna Pancoast, Vardha N. Bennert, **Brendon J. Brewer**, and many coauthors,
2013, ApJ, 769, 128. Preprint

*Probabilistic Catalogs for Crowded Stellar Fields*

**Brendon J. Brewer**, Daniel Foreman-Mackey, David W. Hogg, 2013,
AJ, 146, 7. Preprint

*The SWELLS survey - V. A Salpeter stellar initial mass function in the bulges of massive spiral galaxies*

A. A. Dutton, T. Treu,

**B. J. Brewer**, P. J. Marshall, M. W. Auger, M. Barnabè, D. C. Koo, A. S. Bolton, L. V. E. Koopmans, 2013, MNRAS, 428, 3183. Preprint

*The Lick AGN Monitoring Project 2011: Dynamical Modeling of the Broad Line Region in Mrk50*

Anna Pancoast,

**Brendon J. Brewer**, Tommaso Treu, Aaron J. Barth and many coauthors, 2012, ApJ, 754, 49. Preprint

*The SWELLS survey. IV. Precision measurements of the stellar and dark matter distributions in a spiral lens galaxy*

Matteo Barnabè, Aaron A. Dutton, Philip J. Marshall, Matthew W. Auger,

**Brendon J. Brewer**, Tommaso Treu, Adam S. Bolton, David C. Koo, Léon V. E. Koopmans, 2012, MNRAS, 423, 1073. Preprint

*The SWELLS survey. III. Disfavouring "heavy" initial mass functions for spiral lens galaxies*

**Brendon J. Brewer**, Aaron A. Dutton, Tommaso Treu, Matthew W. Auger, Philip J. Marshall, Matteo Barnabè, Adam S. Bolton, David C. Koo, Léon V. E. Koopmans, 2012, MNRAS, 422, 3574. Preprint

*The Lick AGN Monitoring Project 2011: Reverberation Mapping of Markarian 50*

A. J. Barth and many coauthors (including

**B. J. Brewer**), 2011, ApJ, 743, L4. Preprint

*Bayesian Analysis of Reverberation Mapping Data*

**Brendon J. Brewer**, 2011, in Statistical Challenges in Modern Astronomy V. Preprint

*The SWELLS Survey. I. A large spectroscopically selected sample of edge-on late-type lens galaxies*

T.Treu, A. A. Dutton, M. W. Auger, P. J. Marshall, A. S. Bolton,

**B. J. Brewer**, D. Koo, L. V. E. Koopmans, 2011, MNRAS, 417, 1601. Preprint

*The Mass of the Black Hole in Arp 151 from Bayesian Modeling of Reverberation Mapping Data*

**Brendon J. Brewer**, Tommaso Treu, Anna Pancoast, Aaron J. Barth, Vardha N. Bennert, Misty C. Bentz, Alexei V. Filippenko, Jenny E. Greene, Matthew A. Malkan, and Jong-Hak Woo, 2011, ApJ Letters, 733, L33. Preprint

*Geometric and Dynamical Models of Reverberation Mapping Data*

Anna Pancoast,

**Brendon J. Brewer**, Tommaso Treu, 2011, ApJ, 730, 139. Preprint

*The SWELLS survey. II. Breaking the disk-halo degeneracy in the spiral galaxy gravitational lens SDSS J2141-0001*

A. A. Dutton,

**B. J. Brewer**, P. J. Marshall, M. W. Auger, T. Treu, D. C. Koo, A. S. Bolton, B. P. Holden, L. V. E. Koopmans, 2011, MNRAS, 417, 1621. Preprint

*A Compact Early-type Galaxy at z = 0.6 Under a Magnifying Lens: Evidence For Inside-out Growth*

M. W. Auger, T. Treu,

**B. J. Brewer**, P. J. Marshall, 2011, MNRAS Letters, 411, L6. Preprint

*Modelling of the Complex CASSOWARY/SLUGS Gravitational Lenses*

**Brendon J. Brewer**, Geraint F. Lewis, Vasily Belokurov, Michael J. Irwin, Terry J. Bridges, N. Wyn Evans, 2011, MNRAS, 412, 2521. Preprint

*A comparison of Bayesian and Fourier methods for frequency determination in asteroseismology*

Timothy R. White,

**Brendon J. Brewer**, Timothy R. Bedding, Dennis Stello, Hans Kjeldsen, 2010, Communications in Asteroseismology. Preprint

*AAOmega Observations of 47 Tucanae: Evidence for a Past Merger?*

Richard R. Lane,

**Brendon J. Brewer**, Laszlo L. Kiss, Geraint F. Lewis, Rodrigo A. Ibata, Arnaud Siebert, Timothy R. Bedding, Peter Szekely, Gyula M. Szabo, 2010, ApJ Letters 711, L122-L126. Preprint

*Diffusive Nested Sampling*

**Brendon J. Brewer**, Livia B. Pártay, Gábor Csányi, Statistics and Computing, 2011, 21, 4, 649-656. Preprint

*Entropic Priors and Bayesian Model Selection*

**B. J. Brewer**and M. J. Francis, presented at MaxEnt 2009. Preprint

*Low-Energy Astrophysics: Stimulating the Reduction of Energy Consumption in the Next Decade*

Marshall, P.J., Bennert, N., Rykoff, E.S., Shen, K.J., Steinfadt, J.D.R., Fregeau, J., Chary, R.-R., Sheth, K., Weiner, B., Henisey, K.B., Quetin, E.L., Antonucci, R., Kaplan, D., Jonsson, P., Auger, M.W., Cardamone, C., Tao, T., Holz, D.E., Bradac, M., Metcalfe, T.S., McHugh, S., Elvis, M.,

**Brewer, B.J.**, Urrutia, T., Guo, F., Hovest, W., Nakajima, R., For, B.-Q., Erb, D., Paneque, D., 2009, Astro2010: The Astronomy and Astrophysics Decadal Survey, Position Papers, no. 35. Preprint.

*Gaussian Process Modelling of Asteroseismic Data*

**B. J. Brewer**and D. Stello, 2009, MNRAS, 395, 2226. Preprint

*Unlensing HST Observations of the Einstein Ring 1RXS J1131-1231: A Bayesian Analysis*

**B. J. Brewer**, G. F. Lewis, 2008, MNRAS, 390, 39. Preprint

*The Implications of the Early Formation of Life on Earth*

**Brendon J. Brewer**, was submitted, but I withdrew it because the referee didn't like it and I'm still thinking through the issues. Arxiv only.Preprint

*A Molecular Einstein Ring at z=4.12: Imaging the Dynamics of a Quasar Host Galaxy Through a Cosmic Lens*

Dominik A. Riechers, Fabian Walter,

**Brendon J. Brewer**, Christopher L. Carilli, Geraint F. Lewis, Frank Bertoldi and Pierre Cox, 2008, ApJ, 686, 851. Preprint

*Getting Your Eye In: A Bayesian Analysis of Early Dismissals in Cricket*

**B. J. Brewer**, was submitted to a journal but vanished into the aether after the first revision. Arxiv only. Preprint

*Solar-like oscillations in the metal-poor subgiant nu Indi: II. Acoustic spectrum and mode lifetime*

F. Carrier, H. Kjeldsen, T. R. Bedding,

**B. J. Brewer**, R. P. Butler, P. Eggenberger, F. Grundahl, C. McCarthy, A. Retter, C. G. Tinney, 2007, A&A, 470, 1059. Preprint

*Solar-like oscillations in the G2 subgiant beta Hydri from dual-site observations*

Timothy R. Bedding, Hans Kjeldsen, Torben Arentoft, Francois Bouchy, Jacob Brandbyge,

**Brendon J. Brewer**, R. Paul Butler, Joergen Christensen-Dalsgaard, Thomas Dall, Soeren Frandsen, Christoffer Karoff, Laszlo L. Kiss, Mario J.P.F.G. Monteiro, Frank P. Pijpers, Teresa C. Teixeira, C. G. Tinney, Ivan K. Baldry, Fabien Carrier, Simon J. O'Toole, 2007, ApJ, 663, 1315. Preprint

*Bayesian Inference from Observations of Solar-Like Oscillations*

**B. J. Brewer**, T. R. Bedding, H. Kjeldsen and D. Stello, ApJ, 2007, 654, 551B. Preprint

*The evolution of host mass and black hole mass in QSOs from the 2dF QSO Redshift Survey*

S. Fine, S. M. Croom, L. Miller, A. Babic, D. Moore,

**B. Brewer**, R. G. Sharp, B. J. Boyle, T. Shanks, R. J. Smith, P. J. Outram, N. S. Loaring, MNRAS, 2006, 373, 613F. Preprint

*The Einstein Ring 0047-2808 Revisited: A Bayesian Inversion*

**B. J. Brewer**and G. F. Lewis, ApJ, 2006, 651, 8. Preprint

*Solar-like oscillations in the metal-poor subgiant nu Indi: constraining the mass and age using asteroseismology*

T. R. Bedding, R. P. Butler, F. Carrier, F. Bouchy,

**B. J. Brewer**, P. Eggenberger, F. Grundahl, H. Kjeldsen, C. McCarthy, T. B. Nielsen, A. Retter, C. G. Tinney, ApJ, 2006, 647, 558. Preprint

*Strong Gravitational Lens Inversion: A Bayesian Approach*

**B. J. Brewer**and G. F. Lewis, ApJ, 2006, 637, 608. Preprint

*The light curve of the semiregular variable L2 Puppis: II. Evidence for solar-like excitation of the oscillations*

T. R. Bedding, L. L. Kiss, H. Kjeldsen,

**B. J. Brewer**, Z. E. Dind, S. D. Kawaler, A. A. Zijlstra, MNRAS, 2005, 361, 1375. Preprint

*Probing Sub parsec Structure in the Lyman Alpha Forest with Gravitational Microlensing*

**B. J. Brewer**and G. F. Lewis, MNRAS, 2005, 356, 703. Preprint Honours thesis (PDF, 1.97 Mb)

*When Darwin met Einstein: Gravitational Lens Inversion with Genetic Algorithms*

**B. J. Brewer**and G. F. Lewis, PASA, 2005, 22, 128. Preprint 3rd year report (DOC, 335 kb)

*Bayesian Estimation and Cricket*

**Brendon J. Brewer**, 2005. Just for fun. Available here