Yang Yang

Yang Yang is an Associate Professor in the Department of Computational Mathematics, Science and Engineering at Michigan State University. Their research bridges inverse problem theory with computational innovation for medical and geophysical imaging technologies.

• Ph.D. in Mathematics (2014), University of Washington
• B.S. in Mathematics (2009), Zhejiang University

Research Focus:

• Theoretical development of inverse boundary value problems in acoustics, optics, and elasticity using PDE theory, microlocal analysis, and differential geometry
• Geometric inverse problems for metric and vector field identification in Riemannian/Lorentzian geometries
• Algorithm design for tomographic reconstruction with applications in Ultrasound Computed Tomography, Photoacoustic Tomography, and Optical Tomography

Scientific Contributions:

• NSF CAREER award recipient (2023)
• Developed non-iterative boundary control algorithms for acoustic inverse problems
• Established uniqueness/stability results for transversely isotropic perturbations in elasticity
• Created mathematically-justified imaging algorithms for media with unknown acoustic properties

Publication Trends: Recent work focuses on conscious learning frameworks to address post-selection misconduct in AI, emergent Turing machines for autonomous programming, and ethical implications of deep learning's performance data. These align with their core expertise in inverse problem analysis and computational innovation.