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

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

Vinci | Full-Time | Remote / Hybrid

The Mission

At Vinci, we are building the AI-enabled infrastructure that modern hardware programs use to converge on physics decisions with confidence.

Our software delivers manufacturing-resolution physics simulation with verified accuracy at orders-of-magnitude faster runtimes than traditional tools, bypassing meshing and approximation overhead entirely.

We are deployed or in active validation with a broad range of Tier-1 ecosystem players — across semiconductor IDMs, foundries, advanced packaging, fabless companies, automotive, EMS, and energy hardware development. This means real solver constraints, not benchmarks. Simulation decisions here drive actual hardware outcomes, with diverse operator structures and conditioning regimes.

Now we are building the core solver substrate that must scale beyond billions of DOFs — to trillions, preserve determinism, and generalize across radically different operator landscapes and distributed environments.

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.

Why Vinci

Already proven at scale with real validation across Tier-1 ecosystem participants.

Physics-first software built on verified methods, not heuristics.

A small, technically serious team with deep domain expertise.

High ownership, equity participation

Production impact — not academic benchmarks

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.