Zachary Gelbaum, PhD

Principal, Northwest Mathematics

I started Northwest Mathematics in 2017 on the conviction that mathematics has the power to directly solve real problems for the people and organizations doing consequential work in the world.

My training is in pure and applied mathematics. I received my PhD from Oregon State University in 2013, where my research spanned multiple areas of mathematics and led to publications in several peer-reviewed journals. Early in my education I was drawn to the nineteenth and early twentieth century mathematicians for whom rigorous mathematics and solving real-world problems were the same pursuit. I have tried to practice that tradition in my own career.

Over the past ten years I have worked with clients across a wide range of domains in both private industry and the public sector. Although the problem specifics vary, the methodology is the same: understand the problem precisely, develop the right mathematical framework, and deliver something that solves the problem and leaves the client more capable than before. Applied mathematics is a discipline of common patterns, the same structures recurring across very different fields, and recognizing those patterns is what makes it possible to bring a fresh perspective to a client's problem while still tailoring the solution to their specific context.

What I find most satisfying about this work is the moment a client gains genuine clarity on a problem they have been dealing with for a long time. Mathematics does not just produce solutions, it produces deeper understanding. That is ultimately what I try to deliver. The relationships I build with clients through that shared work, and the lasting collaborations that grow out of them, are what I value most.

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Dr. Zachary Gelbaum
Northwest Mathematics excels at turning technical complexity into tangible results. We brought them in on a project with high stakes and evolving requirements, and they handled the ambiguity with impressive expertise. Their work was so well-received that our client immediately asked for a follow-on proposal based on the strength of this delivery. If you need a partner who can tackle the ‘hard problems’ while keeping the project on track, I highly recommend Northwest Mathematics.
Jesse Berwald, PhD
CTO
Qamia Quantum Technologies

Academic Publications

  • “Identifying multiscale spatio-temporal patterns in human mobility using manifold learning,” with J.R. Watson, M. Titus, G. Zoch, D. Wrathall. PeerJ Computer Science 6:e276, 2020.
  • “Simulation of Fractional Brownian Surfaces via Spectral Synthesis on Manifolds,” with M. Titus. IEEE Transactions on Image Processing, 23 (2014), No. 10, 4383–4388.
  • “On the Largest Eigenvalue of Products from the Beta-Laguerre Ensemble.” Random Matrices: Theory and Applications, 3, No. 2 (2014).
  • “Fractional Brownian Fields Over Manifolds.” Transactions of the American Mathematical Society, 366 (2014), 4781–4814.
  • “White Noise Representation of Gaussian Random Fields.” Communications on Stochastic Analysis, 7, No. 1 (2013), 81–90.

Technical Specialties

  • Geometric and topological data analysis
  • Machine learning
  • High performance and parallel computing
  • Statistical modeling and simulation
  • 3D algorithms and computation: point clouds and surfaces, SLAM, mesh generation
  • Network analysis
  • Optimization
  • Multiscale and wavelet based analysis
  • Laplacian and spectral methods
  • Visualization methods for complex or high-dimensional data

Domain Experience

  • Geospatial analysis
  • Nuclear energy
  • Medical imaging and devices
  • Infrastructure and asset management
  • Urban planning and forecasting
  • Agriculture technology
  • Manufacturing
  • Social and ecological modeling
  • Defense
  • Web3 and blockchain
  • Quantitative finance
  • Academic research

Languages

  • Julia
  • C++
  • CUDA
  • OpenCL
  • Matlab
  • Python

Certifications

  • COBID Certified Emerging Small Business, ID: 10952
  • UEI: WWDFNAR9X6H1
  • CAGE: 9V7M5

NAICS Codes

  • 541690 (primary): Other scientific and technical consulting services
  • 541511: Custom computer programming services
  • 541715: R&D in the physical, engineering and life sciences