About

I am an applied mathematician at ETH Zürich in the research group of my PhD advisor Prof. Habib Ammari.

Contact

Email: brian.fitzpatrick (at) sam (dot) math (dot) ethz (dot) ch
Phone: +41 44 632 6965
Address: HG J 48, Rämistrasse 101, 8092 Zürich, Switzerland

Research interests

Wave propagation, photonic and phononic metamaterials, acoustic bubbles, mathematical physics, spectral analysis, asymptotic analysis, room acoustics, signal processing, numerical methods

Publications

Publications
H. Ammari, B. Fitzpatrick, H. Kang, M. Ruiz, S. Yu, and H. Zhang, Mathematical and Computational Methods in Photonics and Phononics, Mathematical Surveys and Monographs, American Mathematical Society, Providence, (2018), to appear. [Link]
H. Ammari, B. Fitzpatrick, D. Gontier, H. Lee and H. Zhang, Minnaert resonances for acoustic waves in bubbly media, Annales de l'Institut Henri Poincaré: Analyse Nonlinéaire, (2018), to appear. [Link]
H. Ammari, B. Fitzpatrick, D. Gontier, H. Lee and H. Zhang, Sub-wavelength focusing of acoustic waves in bubbly media, Proc. R. Soc. A. 473.2208, (2017), 20170469. [Link]
H. Ammari, B. Fitzpatrick, D. Gontier, H. Lee and H. Zhang, A mathematical and numerical framework for bubble meta-screens, SIAM Journal on Applied Mathematics 77.5 (2017), 1827-1850. [Link]
H. Ammari, B. Fitzpatrick, H. Lee, S. Yu and H. Zhang, Subwavelength phononic bandgap opening in bubbly media, J. Diff. Eq., 263 (2017), 5610-5629. [Link]
Preprints
H. Ammari, B. Fitzpatrick, H. Lee, S. Yu and H. Zhang, Double-negative acoustic metamaterials, preprint. [Link]

Education

Doctoral of Philosophy, Mathematics.
2015 - 2018. ETH Zürich, Switzerland.
PhD Thesis: Mathematical Analysis of Minnaert Resonances for Acoustic Metamaterials.
Master of Science, Mathematical Modeling.
2014 - 2015. University of Limerick, Ireland.
MSc Thesis: Mathematical Modelling of Dispersed Coffee Grains in Drip Filter Machines.
Bachelor of Science, Computer Science and Information Technology (Mathematical stream).
2010 - 2014. National University of Ireland, Galway, Ireland.
BSc Thesis: Quantum Random Walks with Memory.

Teaching

Mathematical and Computational Methods in Photonics and Phononics, ETH Zürich
Tutorial lectures and organization
Autumn 2017
Autumn 2016
Numerical Methods, ETH Zürich
Tutorial lectures and organization
Spring 2017
Numerical Mathematics, ETH Zürich
Tutorial lectures
Spring 2016
Linear Algebra, ETH Zürich
Tutorial lectures
Autumn 2015