Research Focus
I work on scientific machine learning for dynamical systems mostly coming from Hamiltonian, quantum, and nonlinear wave settings. An emerging theme of my research is to combine mathematical analysis, numerical methods, and machine learning to produce models that respect invariants, symmetries, and physical structure. Most of my earlier work involves optimal control theory and nonlinear waves.
New and Active Projects (more info coming soon!)
- Reduced order models for coherent structures (I gave a talk at Dynamics Days '26)
- Learning integrability, integral transforms, conservation laws, and exact solutions from symbolic data
- Intrinsic neural flows for long-time integration of PDEs
Latest
- I'm giving a talk about discrete Rogue waves at the AIMS conference in Athens happening July 6th-9th, 2026.
- I was accepted to participate in an ICERM workshop on nonlinear waves being held from April 27 - May 1, 2026.
- I was selected to receive a SIAM Science Policy Fellowship
- I am now an affiliate of the Simon A. Levin Mathematical, Computational, and Modeling Sciences Center
- Wei Zhu (@ Georgia Tech) and I are organizing a minisymposium at SIAM NWCS '26 on structure preserving learning for nonlinear waves.
- We had a gathering on Jan 30th @ ASU to discuss the future of postdoc development programs.
- I gave a talk about an operator atlas method for ROMs at Dynamics Days on January 9th.
- Starting Fall of 2026, I will be a tenure track assistant professor at SoMSS, ASU!
Contact
For questions about research, collaboration, or student opportunities, please email me: jimmie.adriazola [at] asu [dot] edu