Member of Technical Staff - Extreme-Scale Sparse Linear Algebra, Domain Decomposition & GPU Solver Architecture

Vinci AI

$130K — $180K *
Information Technology
Less than 5 years of experience
Job Overview by Ladders

Qualifications

  • 5-7 years in numerical methods and linear algebra
  • Proficient in GPU programming (CUDA + HIP)
  • Deep understanding of domain decomposition and Schwarz methods
  • Experience with scalable preconditioning for sparse linear systems
  • Hands-on in designing production-grade solver infrastructure
  • Expertise in parallel algorithms and multi-GPU execution
  • Track record of shipping real solver systems in Tier-1 environments

Responsibilities

  • Design and implement solver infrastructure for extreme-scale physics simulations
  • Develop domain decomposition strategies and optimize Schwarz methods
  • Enhance performance through robust preconditioning techniques
  • Advance Krylov subspace methods for efficient solver architecture
  • Integrate AI components for improved solver capabilities
  • Conduct continuous validation and ensure system reliability
  • Optimize designs for production deployment in real-world scenarios

Benefits

  • High ownership and equity participation
  • Work within a small team of technical experts
  • Real production impact and validation in top-tier collaborations
  • Opportunities to shape cutting-edge solver technologies
  • A culture focused on practical applications rather than just academic pursuits
Full Job Description
Member of Technical Staff - Extreme-Scale Sparse Linear Algebra, Domain Decomposition & GPU Solver Architecture

Vinci | Full-Time | Remote / Hybrid

The Challenge

This role is about the core numerical substrate, not application wrappers:
  • Conditioning and convergence at extreme scale
  • Domain decomposition and Schwarz theory at production scale
  • Robust, multilevel and multigrid, preconditioning
  • Communication-avoiding Krylov and hierarchical solvers
  • Deterministic parallel reductions across GPU clusters
  • AI-accelerated solver components grounded in numerical rigor

Your work will shape the solver architecture that supports not just a single physics, but a rich operator ecosystem including indefinites, saddle-point systems, strong coefficient jumps, anisotropy, and tightly coupled multiphysics blocks encountered in real hardware workflows.

What You Will Build

You will own the design and delivery of production-grade solver infrastructure, including:

Domain Decomposition & Schwarz Methods
  • Additive and multiplicative Schwarz frameworks
  • Overlapping and non-overlapping strategies
  • Scalable coarse space construction
  • Hybrid coarse/fine hierarchies for production meshes

Preconditioning at Extreme Scale
  • Algebraic and geometric multigrid
  • Block/physics-aware preconditioners
  • ILU variants, sparse approximate inverses
  • Communication-efficient preconditioner designs

Krylov & Solver Architecture
  • CG, GMRES/FGMRES, BiCGStab
  • Pipelined/communication-reducing methods
  • Mixed-precision strategies with robustness guarantees
  • Deterministic reduction ordering over distributed execution

AI-Augmented Solver Enhancements
  • Learned augmentations for coarse space discovery
  • Adaptive preconditioner selection
  • Spectral approximations and operator compression

AI here supports numerical structure, not replaces it.

What We're Looking For

You bring deep expertise in:
  • Domain decomposition and Schwarz methods
  • Multilevel solvers and scalable preconditioning
  • Large sparse systems at extreme scale
  • Parallel numerical stability and conditioning
  • GPU-accelerated sparse linear algebra (CUDA + HIP)
  • Multi-GPU and distributed execution paradigms

You think about:
  • Spectral equivalence and coarse space quality
  • Strong/weak scaling tradeoffs
  • Communication vs computation balance

You've shipped real solver infrastructure - not just prototypes.

Systems & Engineering Expectations
  • CUDA first, HIP appreciated
  • Kernel-level performance engineering
  • Multi-GPU scaling experience
  • Strong CI, regression, and correctness validation disciplines

You understand how algorithms map to hardware and survive production pressure.

Shipping Focus

This is an execution-oriented principal engineering role in a startup with real production deployment. You will:
  • Architect foundational solver systems
  • Implement and ship into Tier-1 environments
  • Build continuous validation and regression frameworks
  • Improve throughput and determinism under real constraints

We are ambitious - but we ship solutions that matter.

If you think:
  • Trillion-DOF problems are architectural - not just hardware -
  • Deterministic, robust solver substrates are the heart of future physics infrastructure
  • AI should augment numerical authority, not override it

This role was designed for you.

Bottom Line

We are building the solver core that enables deterministic physics infrastructure - validated inside real hardware workflows and ready to scale beyond today's limits.

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