I am an assistant professor in the Department of Applied Mathematics at the Naval Postgraduate School.
Prior to my current appointment, I worked with with Prof. Tim Warburton in the Department of Mathematics at Virginia Tech. Prior to that, I was the J. H. Wilkinson Fellow in the Mathematics and Computer Science Division at Argonne National Laboratory. As a Ph.D. student, I was an active developer for the Chebfun project (source code available on GitHub).
Multivariate rational approximation A. P. Austin, M. Krishnamoorthy, S. Leyffer, S. Mrenna, J. MÃ¼ller, and H. Schulz Submitted, 2019. 
Preprint Supplement 
Simultaneous sensing error recovery and tomographic inversion using an optimizationbased approach A. P. Austin, Z. Di, S. Leyffer, and S. M. Wild SIAM J. Sci. Comput. 41 (2019), pp. B497B521. DOI: 10.1137/18M121993X 

Stable computation of generalized matrix functions via polynomial interpolation J. L. Aurentz, A. P. Austin, M. Benzi, and V. Kalantzis SIAM J. Matrix Anal. Appl. 40 (2019), pp. 210234 DOI: 10.1137/18M1191786 

A fast algorithm for the convolution of functions with compact support using Fourier extensions K. Xu, A. P. Austin, and K. Wei SIAM J. Sci. Comput. 39 (2017), pp. A3089A3106 DOI: 10.1137/17M1114764 

Trigonometric interpolation and quadrature in perturbed points A. P. Austin and L. N. Trefethen SIAM J. Numer. Anal. 55 (2017), pp. 21132122 DOI: 10.1137/16M1107760 
PDF Supplement 
Some New Results on and Applications of Interpolation in Numerical Computation A. P. Austin Ph. D. Thesis, University of Oxford Mathematical Institute, 2016 

On the numerical stability of the second barycentric formula for trigonometric interpolation in shifted equispaced points A. P. Austin and K. Xu IMA J. Numer. Anal. 37 (2017), pp. 13551374 DOI: 10.1093/imanum/drw038 

Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic A. P. Austin and L. N. Trefethen SIAM J. Sci. Comput. 37 (2015), pp. A1365A1387 DOI: 10.1137/140984129 

Numerical algorithms based on analytic function values at roots of unity A. P. Austin, P. Kravanja, and L. N. Trefethen SIAM J. Numer. Anal. 52 (2014), pp. 17951821 DOI: 10.1137/130931035 
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