When I'm not studying, talking, or teaching mathematics, I enjoy recreating in the fantastic public lands near Missoula (biking, hiking peaks, backpacking, and skiing), as well as reading, writing, travel, and spending time with my family. For more on my non-mathematical interests have a look at my blog Adventures of a Math Geek.
My research is currently focused on uncertainty quantification for inverse problem, which sits at the interface of computational statistics, computational mathematics, and inverse problems. I've also done work on computational and theoretical inverse problems, data assimilation, adaptive optics, computational electromagnetics, mathematical biology, and remote sensing. For a listing of my publications, check out my publications web page.
Ph.D. Students
Kevin Joyce (PhD, 2016; co-advised with Aaron Luttman). Kevin's dissertation is titled "Point Spread Function Estimation and Uncertainty Quantification." He was funded by, and did summer internships at, National Security Technologies, LLC in Las Vegas, Nevada, where also he now works.
Marylesa Howard (PhD, 2013). Marylesa's thesis is titled, "Computational Methods
for Support Vector Machine Classification and Large-Scale Kalman Filtering." She was supported by
a Montana NSF-EPSCoR PhD fellowship during the 2008-10 academic years. She now works
at National Security Technologies, LLC in Las Vegas, Nevada.
John Goldes finished (PhD, 2010). John's thesis is titled,
"Regularization parameter selection methods for Ill-Posed Poisson
Imaging Problems". John currently works as an actuary for Milliman Inc. in Indianapolis, Indiana.
N'djekornom Dara Laobeul (PhD, 2008). Dara's thesis is titled, "Regularization
Methods for Ill-Posed Poisson Imaging Problems". Dara is an adjunct instructor
here at the UM Math Department.