Alex Barnett

Associate Professor, Applied Mathematics
How to reach me:
Kemeny, room 206, tel (603) 646-3178
email:
Applied Math Lab: Kemeny, room 209

By physical mail:
Department of Mathematics
6188 Kemeny Hall
Dartmouth College
Hanover, NH, 03755

Research  support: National
Science
Foundation
NSF     Wetterhahn Award
and
Jeffe Fellowship
Bio and CV;     Research and teaching statements (2012);     tenure packet (2010)
  • Numerical analysis and scientific computing, computational partial differential equations: Helmholtz equation, high frequency waves, eigenvalue, scattering and periodic problems, photonic crystals, heat equation, corner singularities, boundary integral equations.
  • Mathematical physics: quantum chaos and ergodicity, Laplacian eigenfunctions, scarring, billiards, random plane waves. (Also see old physics graduate work).
  • Applied mathematics: mathematical ecology (animal home range modeling), medical inverse problems (neuroscience, optical tomography), mathematics of music.

Publications and talks

Our group: Adrianna Gillman, an expert on fast direct solvers for integral equations, joined us as a JWY Instructor in July 2011, and will start tenure-track at Rice July 2014.
Min Hyung Cho, an expert on fast multipole and layered media, joined us as an IACM Instructor in July 2012.
Lin Zhao started as a graduate student on boundary integral methods for Laplace eigenvalue problems in June 2012, partially supported by NSF.
Larry (Yuxiang) Liu (Physics dept) started as a graduate student in scattering from periodized bodies of revolution in Dec 2012, partially supported by NSF and the Neukom Institute.
John Conley '15, Presidential Scholar, modeling waveguides and solar cells, 2013-2014.
Prospective grad students: although the 1st-yr qual is pure-math oriented, the 2nd-yr need not be, and we have an expanding applied/computational group at Dartmouth. Do apply!

Seminars and conferences: I started and co-run the Applied and Computational Mathematics Seminar. I am an organizer of the NSF-CBMS Conference of Fast Direct Solvers for Elliptic PDE, June 23-29, 2014.

Collaboration & mentoring:

Teaching  students should check out our applied courses roadmap

Service to College

Old Personal Page  media projects, music, photos, wind energy, electronics...
Periods, pitches & pipes: a new middle-school teaching module connecting music and math. Megan Martinez, Alex Barnett (via GK12 and NSF, 2013)

Images from our group used for CRM 2012 poster:

RESOURCES...

Quasi-periodic scattering from dielectric gratings:

My front cover, Notices of the AMS, Jan 2008:

MFS basis stability for the Helmholtz equation:

Math is a myth in Wales

 

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