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## [Bio](index.md) | [Research](research.md) | [Teaching](teaching.md) | Papers | [Talks](talks.md)

### Papers and Preprints
1. A Horning and A.R. Gerlach, "[A family of high-order accurate contour integral methods for strongly continuous semigroups](https://arxiv.org/abs/2408.07691)" Submitted 2024.
2. M.J. Colbrook, C. Drysdale, and A. Horning, "[Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators](https://arxiv.org/abs/2405.00782)" Submitted 2024.
3. J. Zvonek, A. Horning, and A. Townsend, "[ContHutch++: Stochastic trace estimation for implicit integral operators.](https://arxiv.org/abs/2311.07035)" Submitted 2023.
4. 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.
5. 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.
6. 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. **SIAM Activity Group on CSE Best Paper [Prize](https://www.siam.org/programs-initiatives/prizes-awards/activity-group-prizes/siam-activity-group-on-computational-science-and-engineering-best-paper-prize/)**
7. 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.
8. 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.
9. 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. M.J. Colbrook, A. Horning, and T. Xie, "[Computing generalized eigenfunctions in rigged Hilbert spaces](https://arxiv.org/abs/2410.08343)." Submitted 2024.
2. A Horning and A.R. Gerlach, "[A family of high-order accurate contour integral methods for strongly continuous semigroups](https://arxiv.org/abs/2408.07691)." Submitted 2024.
3. M.J. Colbrook, C. Drysdale, and A. Horning, "[Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators](https://arxiv.org/abs/2405.00782)." Submitted 2024.
4. J. Zvonek, A. Horning, and A. Townsend, "[ContHutch++: Stochastic trace estimation for implicit integral operators](https://arxiv.org/abs/2311.07035)." Submitted 2023.
5. 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.
6. 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.
7. 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. **SIAM Activity Group on CSE Best Paper [Prize](https://www.siam.org/programs-initiatives/prizes-awards/activity-group-prizes/siam-activity-group-on-computational-science-and-engineering-best-paper-prize/)**
8. 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.
9. 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.
10. 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.

### Conference Proceedings (Peer-Reviewed)
1. M.J. Colbrook and A. Horning, "[SpecSolve: Spectral methods for spectral measures](https://doi.org/10.1007/978-3-031-20432-6_10)" ICOSAHOM 2020+1. Lecture Notes in Computational Science and Engineering, Springer vol. 137 (2023).
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