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## Welcome!
I'm an Applied Math Instructor at [MIT Mathematics](https://math.mit.edu/). My research interests are in numerical analysis and scientific computing with an emphasis on fast numerical linear algebra, approximation theory, and all things eigenvalue-related!
I'm an Applied Math Instructor at [MIT Mathematics](https://math.mit.edu/directory/profile.html?pid=2334). My research interests are in numerical analysis and scientific computing with an emphasis on fast numerical linear algebra, approximation theory, and all things eigenvalue-related!

## Education
I completed my **Ph.D. in applied mathematics** at Cornell's [Center for Applied Math](https://www.cam.cornell.edu/cam), where I worked closely with my supervisor, [Alex Townsend](https://pi.math.cornell.edu/~ajt/) in the math department. My research committee included [David Bindel](https://www.cs.cornell.edu/~bindel/) and [Anil Damle](https://www.cs.cornell.edu/~damle/) from the computer science department.
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[Alex Watson](https://www-users.cse.umn.edu/~watso860/) (University of Minnesota), Kyle Thicke (Technical University of Munich), [Yuji Nakatsukasa](https://people.maths.ox.ac.uk/nakatsukasa/) (University of Oxford), [Marcus Webb](https://personalpages.manchester.ac.uk/staff/marcus.webb/default.htm) (University of Manchester), [Matthew Colbrook](http://www.damtp.cam.ac.uk/user/mjc249/home.html) (University of Cambridge), and [Rhonda Morgan](https://www.linkedin.com/in/rhonda-morgan-9971514) (NASA Jet Propulsion Laboratory).

## Publications
1. M.J. Colbrook, A. Horning, K. Thicke, and A.B. Watson, "[Computing spectral properties of topological insulators without artificial truncation or supercell approximation.](https://arxiv.org/abs/2112.03942v1)" To appear in The IMA Journal of Applied Mathematics.
2. A. Horning and Y. Nakatsukasa, "[Twice is enough for dangerous eigenvalues.](https://epubs.siam.org/doi/abs/10.1137/20M1385330?journalCode=sjmael)" SIAM Journal on Matrix Analysis and Applications 43.1 (2022): 68-93.
3. M.J. Colbrook, A. Horning, and A. Townsend, “[Computing spectral measures of self-adjoint operators.](https://epubs.siam.org/doi/10.1137/20M1330944)” SIAM Review 63.3 (2021): 489-524.
4. A. Horning, and A. Townsend, "[FEAST for differential eigenvalue problems.](https://epubs.siam.org/doi/10.1137/19M1238708)" SIAM Journal on Numerical Analysis 58.2 (2020): 1239-1262.
5. A. Horning, R. Morgan, and E. Nielson, “[Minimum number of observations for exoplanet orbit determination.](https://www.spiedigitallibrary.org/conference-proceedings-of-spie/11117/111171C/Minimum-number-of-observations-for-exoplanet-orbit-determination/10.1117/12.2529741.short?SSO=1)” Techniques and Instrumentation for Detection of Exoplanets IX. 4. Vol. 11117. SPIE (2018).
6. Y.P. Timalsina, et al. “[Effects of nanoscale surface roughness on the resistivity of ultrathin epitaxial copper films.](https://iopscience.iop.org/article/10.1088/0957-4484/26/7/075704/meta)” Nanotechnology 26.7 (2015): 075704.
7. C. Daniels, et al. "[Elastic, plastic, and fracture mechanisms in graphene materials.](https://iopscience.iop.org/article/10.1088/0953-8984/27/37/373002#artAbst)" Journal of Physics: Condensed Matter 27.37 (2015): 373002.
1. J. Zvonek, A. Horning, and A. Townsend, "[ContHutch++: Stochastic trace estimation for implicit integral operators.](https://arxiv.org/abs/2311.07035)" Submitted 2023.
2. M.J. Colbrook, A. Horning, K. Thicke, and A.B. Watson, "[Computing spectral properties of topological insulators without artificial truncation or supercell approximation.](https://doi.org/10.1093/imamat/hxad002)" IMA Journal of Applied Mathematics 88.1 (2023): 1-42.
3. A. Horning and Y. Nakatsukasa, "[Twice is enough for dangerous eigenvalues.](https://doi.org/10.1137/20M1385330)" SIAM Journal on Matrix Analysis and Applications 43.1 (2022): 68-93.
4. M.J. Colbrook, A. Horning, and A. Townsend, “[Computing spectral measures of self-adjoint operators.](https://doi.org/10.1137/20M1330944)” SIAM Review 63.3 (2021): 489-524.
5. A. Horning, and A. Townsend, "[FEAST for differential eigenvalue problems.](https://doi.org/10.1137/19M1238708)" SIAM Journal on Numerical Analysis 58.2 (2020): 1239-1262.
6. A. Horning, R. Morgan, and E. Nielson, “[Minimum number of observations for exoplanet orbit determination.](https://www.spiedigitallibrary.org/conference-proceedings-of-spie/11117/111171C/Minimum-number-of-observations-for-exoplanet-orbit-determination/10.1117/12.2529741.short?SSO=1)” Techniques and Instrumentation for Detection of Exoplanets IX. 4. Vol. 11117. SPIE (2018).
7. Y.P. Timalsina, et al. “[Effects of nanoscale surface roughness on the resistivity of ultrathin epitaxial copper films.](https://iopscience.iop.org/article/10.1088/0957-4484/26/7/075704/meta)” Nanotechnology 26.7 (2015): 075704.
8. C. Daniels, et al. "[Elastic, plastic, and fracture mechanisms in graphene materials.](https://iopscience.iop.org/article/10.1088/0953-8984/27/37/373002#artAbst)" Journal of Physics: Condensed Matter 27.37 (2015): 373002.

## Invited and contributed talks
- December 2022, "Differentiating functionals of data-sparse matrix factors," SCAN Seminar, Cornell University, Ithaca, NY
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