# CV

A short virtual CV, current through 8/2022. Full CV in PDF version available here.

## Professional experience

*(August 2022 - Present)*Sandia National Laboratories.**John von Neumann Fellow**, Albuquerque, NM.

*(January 2021 - August 2022)*Florida State University.**Postdoctoral Research Associate**under Max Gunzburger, Columbia, SC.- Simultaneously a
**Visiting Research Scholar**at the University of South Carolina.

*(August 2019 - December 2020)*Texas Tech University.**Assistant Professor of Practice**, San Jose, Costa Rica.- Remained employed on unpaid leave until August 2022.

*(June 2018 - August 2018)*Oak Ridge National Laboratory.**NSF Graduate Research Fellow**, Oak Ridge, TN.

*(August 2015 - August 2019)*Texas Tech University.**Graduate Part-Time Instructor**, Lubbock, TX.

*(May 2014 - August 2014)*University of Texas at Dallas.**NSF REU Intern**, Richardson, TX.

## Education

- Ph.D Mathematics (Differential Geometry), Texas Tech University, 2019.
- M.S. Mathematics, Texas Tech University, 2017.
- B.G.S. Chemistry/Mathematics/Music Performance, Texas Tech University, 2015.

## Publications

### Journal Articles

- Anthony Gruber, Max Gunzburger, Lili Ju, Zhu Wang.
*Energetically Consistent Model Reduction for Metriplectic Systems.*** Comput. Methods Appl. Mech. Eng.** (to appear). - Anthony Gruber, Max Gunzburger, Lili Ju, Zhu Wang.
*A Multifidelity Monte Carlo Method for Realistic Computational Budgets.***J. Sci. Comput.**(to appear). - Anthony Gruber.
*Parallel Codazzi tensors with submanifold applications.***Math. Nachr.**(to appear). - Anthony Gruber, Magdalena Toda, Hung Tran.
*Stationary surfaces with boundaries.***Ann. Glob. Anal. Geom.**(2022). - Anthony Gruber, Max Gunzburger, Lili Ju, Zhu Wang.
*A Comparison of Neural Network Architectures for Data-Driven Reduced-Order Modeling.***Comput. Methods Appl. Mech. Eng.**(2022). - Anthony Gruber.
*Planar Immersions with Prescribed Curl and Jacobian Determinant are Unique.***Bull. Aust. Math. Soc.**1-6 (2021). - Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang.
*Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations.***Numer. Math. Theory Methods Appl.**(2021). - Anthony Gruber, Álvaro Pámpano, Magdalena Toda.
*Regarding the Euler-Plateau Problem with Elastic Modulus.***Ann. Mat. Pura. Appl.**(2021). - Anthony Gruber, Eugenio Aulisa.
*Computational p-Willmore Flow with Conformal Penalty.***ACM Trans. Graph.**39, 5, Article 161 (September 2020), 16 pages. - Anthony Gruber, Magdalena Toda, Hung Tran.

*On the variation of curvature functionals in a space form with application to a generalized Willmore energy.***Ann. Glob. Anal. Geom.**(2019) 56: 147.

### Articles in Refereed Conference Proceedings

- Anthony Gruber, Eugenio Aulisa.
*Quaternionic Remeshing During Surface Evolution.***AIP Conference Proceedings**2425, 330003 (2022). - Anthony Gruber, Magdalena Toda, Hung Tran.
*Willmore-Stable Minimal Surfaces.***AIP Conference Proceedings**2425, 330004 (2022). - Eugenio Aulisa, Anthony Gruber, Magdalena Toda, Hung Tran.
*New Developments on the p-Willmore Energy of Surfaces.***Proceedings of the XXIst GIQ**, BAS - Varna (2019). - Robert A. Bridges, Anthony D. Gruber, Christopher Felder, Miki Verma, Chelsey Hoff.
*Active Manifolds: A non-linear analogue to Active Subspaces.***Proceedings of the 36th ICML**, PMLR 97:764-772 (2019).

### Others

- Anthony Gruber.
*Curvature functionals and p-Willmore energy*. PhD Thesis (2019). TTU Electronic Thesis and Dissertation Repository.

### Submitted Articles

- Anthony Gruber, Álvaro Pámpano, Magdalena Toda.
*Instability of p-Elastic Curves in \(S^2\).*(under review). - Anthony Gruber, Max Gunzburger, Lili Ju, Rihui Lan, Zhu Wang.
*Multifidelity Monte Carlo Estimation for Efficient Uncertainty Quantification in Climate-Related Modeling.*(under review). - Anthony Gruber, Eugenio Aulisa.
*Quasiconformal Mappings with Surface Domains.*(under review). - Yuankai Teng, Zhu Wang, Lili Ju, Anthony Gruber, Guannan Zhang.
*Learning Level Sets with Pseudo-Reversible Neural Networks for Nonlinear Dimension Reduction in Function Approximation.*(under review). - Anthony Gruber, Álvaro Pámpano, Magdalena Toda.
*On p-Willmore Disks with Boundary Energies.*(under review).

## Invited Talks

- Invited talk, SIAM MDS, San Diego, CA.
*Graph neural networks for model reduction*, Minisymposium on machine learning for large-scale scientific data analytics, (25 min; Sep. 26-30, 2022). - Invited talk, AMS Fall Central Sectional, UT at El Paso, TX.
*Computing quasiconformal mappings between immersed surfaces*, (20 min; Sep. 17-18, 2022). - Colloquium talk, Texas Tech University, Lubbock.
*Some nonlinear PDEs in computer graphics and data science*, (50 min; Sep 29, 2021). - Invited talk, Cameron University Mathematics Seminar Series, Lawton, OK (virtual).
*Calculus for Computer Graphics and Data Science*, (50 min; Oct. 19, 2021). - Invited talk, SIAM Southeastern Atlantic Section, special session on Deep Learning Methods for Data Driven Models, Auburn University, Auburn, AL.
*Convolutional neural networks for data compression and reduced order modeling*, (30 min; Sep. 18, 2021). - Paper presentation, 18th International Conference of Numerical Analysis and Applied Mathematics (virtual), Rhodes, Greece, Sep 17-23, 2020.
*Willmore stable minimal surfaces*, (30 min; Sep. 17, 2020). - Paper presentation, 18th International Conference of Numerical Analysis and Applied Mathematics (virtual), Rhodes, Greece, Sep 17-23, 2020.
*Quaternionic remeshing during surface evolution*, (30 min; Sep. 17, 2020). - Invited talk, AMS special session 1159, Geometry of Submanifolds and Integrable Systems (virtual), University of Texas at El Paso, Sep 12-13, 2020.
*Codazzi tensors with parallel mean curvature*, (25 min; Sep. 12, 2020). - Plenarly lecture as early career speaker, 63rd Texas Geometry and Topology Conference (virtual), Texas Tech University, Lubbock, Apr 24-26, 2020.
*Stationary surfaces for curvature functionals*, (50 min; Apr. 23, 2020). - Paper presentation, 36th International Conference on Machine Learning, Long Beach, California, June 9-15, 2019.
*Active Manifolds: A non-linear analogue to Active Subspaces*, (June 11, 2019). Presented by Robert Bridges.

## Courses Taught

- Advanced Calculus I (TTU Math 4350)
- Foundations of Algebra I (TTU Math 3360)
- Higher Mathematics II (PDEs) for Scientists and Engineers (TTU Math 3351)
- Higher Mathematics I (ODEs) for Scientists and Engineers (TTU Math 3350)
- Introduction to Critical Reasoning and Proof (TTU Math 3310)
- Calculus III with Applications (TTU Math 2450)
- Calculus II with Applications (TTU Math 1452)
- College Algebra (TTU Math 1320)
- Intro. to Data Analytics (10-hour short course self-developed for TTUCR)