Summary
Research Summary

My research involves computational partial differential equations and applications there of; more specifically, using
asymptotic, numerical and functional analysis to develop efficient algorithms for solving problems for
scientific computing in various fields such as computational physics, machine learning and inverse
problems.
Employment

2019 August  Present : Postdoctoral Scholar
 Department of Mathematics, Vanderbilt University 2013 September  2019 June : Teaching Assistant/Teaching Associate
 Department of Mathematics, UC Santa Barbara 2011 September  2013 August : Adjunct Professor
 Department of Mathematics, Irvine Valley College 2011 June  2011 August : Graduate Student Researcher
 Department of Mathematics, UC Irvine 2008 September  2011 June : Teaching Assistant
 Department of Mathematics, UC Irvine
Education

Ph.D. Mathematics (June 2019) : UC Santa Barbara, Advisor: Xu Yang
M.S. Mathematics (December 2010) : UC Irvine, Advisor: Long Chen
B.S. Mathematics (June 2008): UC Irvine, Honors in Mathematics
Publications

L. Chai, J. C. Hateley, E. Lorin and X. Yang. Convergence of Frozen Gaussian Approximation for NonStrictly Hyperbolic Systems. (Preprint)

J. C. Hateley and X. Yang. Convergence of Frozen Gaussian Approximation for Elastic Waves. (Preprint)

J. C. Hateley, J. Roberts, K. Mylonakis and X. Yang. Deep Learning Seismic Substructure Detection using the Frozen Gaussian Approximation. (Submitted).
Preprint. http://arxiv.org/abs/1810.06610, 2019

J. C. Hateley, L. Chai, P. Tong, X. Yang. Frozen Gaussian approximation for 3D Elastic Wave Equation and Seismic Tomography. Geophys. J. Int. Volume216, Issue2, February 2019, Pages 13941412, https://doi.org/10.1093/gji/ggy498

J.C. Hateley, H. Wei and L. Chen. Fast Methods for Computing Centroidal Voronoi Tessellations. Journal of Scientific Computing, 2014, (DOI) 10.1007/s1091501498941.