Methodology:

A Permutation Approach to Testing Marginal Interactions in Many Dimensions (with Robert Tibshirani)
(in progress) (2012)

Adaptive Enrichment Designs For Clinical Trials (with Richard Simon)
(in progress) (2012)

Discriminant Analysis with Adaptively Pooled Covariance (with Robert Tibshirani)
(in review) (2012)

Comment on "Detecting Novel Associations in Large Data Set" by Reshef et. al (with Robert Tibshirani)
Science (Dec. 2011)

The Sparse Group Lasso (with Jerome Friedman, Trevor Hastie, and Robert Tibshirani)
Journal of Computational and Graphical Statistics: (accepted) (2012)

New insights and faster computations for the graphical lasso. (with Daniela Witten, and Jerome Friedman)
Journal of Computational and Graphical Statistics: In Press. (2011)

Standardization and the Group Lasso Penalty (with Robert Tibshirani)
Statistica Sinica (2011)

Strong Rules for Discarding Predictors in Lasso-type Problems (with Tibshirani, Bien, Friedman, Hastie, Taylor and Tibshirani)
JRSS series B (2010)

Using randomization tests to preserve type I error with response adaptive and covariate adaptive randomization (with Richard Simon)
Statistics & Probability Letters (2011)

Regularization Paths for Cox's Proportional Hazards Model (with Jerome Friedman, Trevor Hastie, and Robert Tibshirani)
Journal of Statistical Software (2011)

Applications:

ERCC1 and RRM1 expression patterns in synchronous primary and metastatic urothelial cancer lesions
(with Harshman L, Manda S, Hansel D, McKenney J, Oliveria V, Dreicer R, Srinivas S, Bepler G)
ASCO proceedings (accepted) (2011)

Other:

Quotient Sets and Diophantine Equations (with Stephan Garcia, Daniel Poore, and Vincent Selhorst-Jones)
Amer. Math Monthly(2010)

I work with Rob Tibshirani on machine learning (penalized regression and classification), efficient algorithms in high dimensional spaces, and other whimsical creatures which strike our fancy, with specific interest in applications to biological and medical problems. I am interested in building and applying tools to better understand the interplay of SNPs/gene expression/protein expression/mutations with diseases and treatments...

and while my research lies largely in those areas, I am also interested in applications of group theory in statistics.