I was a Ph.D. graduated in May 2024 in Mathematics at The University of Alabama, Tuscaloosa. I also earned a Master's degree in Optimization and Statistics at Wayne State University, Detroit, Michigan in 2018.

My research scientist specializing in the mathematical architecture of modern AI, with core expertise in Lie groups/Lie algebras/Quaternion, Topology/Graph Theory, Optimal Transport, Control Theory, Stochastic Calculus, and PDEs.

For examples, developing probabilistic models including Gaussian Processes, Flow Matching, Score-based Diffusion, and Schrödinger Bridges; and their applications to signal and image processing .

I was a Research Scientist at EI, a startup company. Previously, I was a Postdoctoral Researcher at Department of Radiology, School of Medicine at University of North Carolina at Chapel Hill School.

From Oct 2023-May 2024, I was a Data Science Intern in Management Reporting and Business Intelligence team at Volvo Trucks , Greensboro, North Carolina, US.

I am interested in both Math and Computer Science. My research interests include high-dimension Optimization,Probability,Statistics problems and their applications in Operation Research, involving Geometry, Graph theory and Random Algorithms such as Monte Carlo methods, Matrix Scaling, Sampling on Convex Bodies, Hight-dimension Convex Geometry,...

• Research Interest:

  • Probabilistic models: Gaussian Process, Flow Matching, Diffusion Models, Schordinger bridge
  • Integer Programmings and Combinatorial Optimization
  • Monte Carlo Methods, Discrete-time Markov chain
  • Random polytopes
  • Random walks
  • Random matrix theory
  • Algorithms for Sampling Convex Bodies
  • Hight-dimension Convex Geometry
  • Matrix Scaling, Tensor problems, Tensor Normal Models and Orbit-Closure-Separation problems which surprisingly very closed to P $\ne$ NP problem in pure Computer Science (see Avi Wigderson ICM talk)
  • Spectral graph theory

• Publications:

  • Son Dang Nguyen, Ervin, Tucker J.; Jackson, Blake; Lee, Kyungyong, Geometry of C-vectors and C-Matrices for Mutation-Infinite Quivers, 2024
  • Son Dang Nguyen, Ervin, Tucker J.; Jackson, Blake; Lee, Kyungyong, Geometry of c-matrices for mutation-infinite quivers, Sémin. Lothar. Comb., Formal Power Series and Algebraic Combinatorics, 2024
  • Son Dang Nguyen, Constrained Fermat-Torricelli-Weber Problem in real Hilbert Spaces, 2018
  • Son Dang Nguyen, Ervin, Tucker J.; Jackson, Blake; Lane, Jay; Lee, Kyungyong; O'Donohue, Jack; Vaughan, Michael., Permutations whose reverse shares the same recording tableau in the RS correspondence, Sém. Lothar. Combin. 86 (2022)
  • Son Dang Nguyen, A proof of Lee-Lee's conjecture about geometry of rigid modules, J. Algebra 611 (2022), 422-434.