The effect of smooth parametrizations on nonconvex optimization landscapes (Mathematical Programming, 2024, INFORMS Optimization Society Student Paper Prize)
Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy (Mathematical Programming, 2023)
Towards optimization on varieties (Undergraduate senior thesis, Princeton University, 2020)
A note on Douglas-Rachford, gradients, and phase retrieval (arXiv:1911.13179, 2019)
Multi-target detection with application to cryo-electron microscopy (Inverse Problems, 2019)
Toward single particle reconstruction without particle picking: breaking the detection limit (SIAM Journal on Imaging Sciences, 2023)
3D ab initio modeling in cryo-EM by autocorrelation analysis (2018 IEEE 15th International Symposium on Biomedical Imaging, 2018, Best Student Paper)
Direct reconstruction of two-dimensional currents in thin films from magnetic-field measurements (Physical Review Applied, 2017)
Stopping criterion for iterative regularization of large-scale ill-posed problems using the Picard parameter (arXiv:1707.04200, 2017)
Estimation of the regularization parameter in linear discrete ill-posed problems using the Picard parameter (SIAM Journal on Scientific Computing, 2017)
Research Experience
Involved in various research projects including but not limited to: any-dimensional polynomial optimization, poset-Markov channels, nonconvex optimization landscapes, and more.
Education
Graduate student in Applied and Computational Math at Caltech, advised by Venkat Chandrasekaran; Undergraduate senior thesis at Princeton University titled 'Towards optimization on varieties'.
Background
Graduate student in Applied and Computational Math at Caltech, focusing on the mathematics of data science and machine learning, drawing on ideas from optimization, geometry, algebra, and probability.
Miscellany
Personal interests and other information not provided.