Ryan Schneider

Ryan Schneider is an NSF Postdoctoral Fellow in the Department of Mathematics at the University of California, Berkeley. His research focuses on numerical analysis, randomized numerical linear algebra, and scientific computing, with applications to quantum mechanics and computational physics.

• Mentor: James Demmel (UC Berkeley)
• Former Advisor: Ioana Dumitriu (UC San Diego)
• Collaborator: Barry I. Schneider (NIST)

Ryan's work centers on developing efficient numerical methods for solving differential equations, particularly the time-dependent Schrödinger equation. His research combines algorithm design with practical implementations in Fortran, emphasizing inverse-free and communication-efficient approaches.

Recent publications highlight advancements in:

• Jacobi's method optimization for eigenvalue problems
• Structured divide-and-conquer algorithms
• Volterra integral equation solvers (ITVOLT)
• Deflating subspace computations
• Quantum system simulations

Scientific awards include:

• NSF Postdoctoral Fellowship
• Measurement Science and Engineering Fellowship at NIST

Contact: ryan.schneider@berkeley.edu | ryschnei@ucsd.edu