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ph3bAt Lace Lithography, we’re scaling up our team and looking for a passionate and sharp talent to join us. /b /h3 h3bWe’re on a mission to do something really, really small. You’ll craft the masks that bring our patterns to life. /b /h3 pLace Lithography is seeking a highly experienced bSenior Optimization Engineer /b to join our Mask Design team. In this high-impact role, you will architect and deploy the advanced nonlinear optimization engines that define the theoretical limits of our lithography systems. /p pIn our company we build chip lithography technology that will enable the next 100 years of chip manufacturing. Founded in 2023, we’re based in Bergen (Norway) and Barcelona (Spain), and backed by some of the world’s most ambitious investors. /p pWorking alongside physicists and developers, you will deliver high-performance solutions to critical manufacturing challenges. /p pThis role is based in Barcelona, and will involve regular travel between our two locations throughout the year. /p h3bWhat you’ll do /b /h3 ul liAdvanced Algorithm Engineering: Design and engineer custom, large-scale nonlinear optimization algorithms. You will move beyond standard implementations to develop specialized heuristics and globalization strategies that exploit the specific structure of our problem. /li liComplex Mathematical Formulation: Translate intricate multiphysics phenomena into rigorous, differentiable optimization problems, ensuring well-posedness and numerical stability for complex engineering objectives. /li liDeep Solver Integration Customization: Go beyond basic API interfacing to deeply customize solver behaviors. You will modify linear algebra backends, Hessian approximations, and callback structures to maximize solver performance. /li liCode Implementation: Write highly optimized, modular, and testable scientific code in Julia, Python, or C++. /li liGPU-Accelerated Optimization: Implement distributed and GPU-accelerated optimization routines. You will apply parallelization strategies (MPI, CUDA/Kernel abstractions) required to solve problems with millions of degrees of freedom in viable timeframes. /li liAlgorithmic Tuning Profiling: Conduct deep-dive performance analysis on critical loops. You will profile memory access patterns and algorithmic complexity to eliminate bottlenecks and resolve numerical instabilities. /li liTesting and Validation: Design comprehensive validation frameworks that stress-test optimization convergence and ensure robustness against real-world edge cases. /li liCross-Disciplinary Collaboration: Work closely with physics and hardware teams to ensure strong alignment between mathematical models and real-world systems. /li liTechnical Standards Best Practices: Serve as a Subject Matter Expert (SME) on numerical optimization. You will elevate the team's technical bar by conducting rigorous code reviews and championing best practices in numerical computing. /li /ul h3bWho you are /b /h3 pRequired: /p ul liEducation Experience: PhD in Applied Mathematics, Computer Science, Computational Physics, or Operations Research (or a Master’s degree with extensive industrial experience in numerical computing). /li liExpert Optimization Theory: Deep command of nonlinear optimization theory, including KKT conditions, duality, and the mechanics of Interior Point or Trust-Region methods. /li liLarge-Scale Solving: Proven track record of formulating and solving massive-scale optimization problems (1M+ variables) in production or high-performance research contexts. /li liScientific Coding Mastery: Advanced proficiency in Julia, C++, or Python, with a strong focus on type stability, memory allocation, and vectorization. /li liNumerical Linear Algebra: Deep knowledge of sparse matrix factorizations, iterative linear solvers, and preconditioning techniques. /li liSolver Expertise: Hands-on experience tuning and interfacing with large-scale solvers (e.g., IPOPT, KNITRO, SNOPT) at a low level. /li liDebugging Stability: Ability to diagnose complex convergence failures (singularities, scaling issues) and re-formulate problems for numerical stability. /li liSoftware Engineering Rigor: Strong discipline in modern software practices, including version control (Git), unit testing for numerical code, and CI/CD workflows. /li liTechnical Communication: Ability to distill complex mathematical trade-offs into clear engineering decisions. /li /ul pPreferred: /p ul liExposure to GPU programming, high-performance computing, or parallel algorithms /li liExperience contributing to scientific software projects or open-source tools /li /ul h3bOur team here at Lace: /b /h3 pconsists of amazing people who’ve joined us from all over the world, driven by intense curiosity, the urge for exploration, and a desire to push the limits of physics. We promise to offer you a place among highly motivated Lacers, present you with extremely difficult problems—and have a lot of fun solving them. /p h3bWorkplace culture: /b /h3 pLace operates out of two beautiful, vibrant, and strong-willed cities. Although we are cities apart, we strive to make the team feel as one. /p pWe don’t define values—but we have one universal expectation: Be the best team player you can be. /p h3bPerks and Benefits: /b /h3 pbPart of the team, part of the company /b Competitive salary + equity through our incentive plan. /p pbFeel-good perks /b €50 monthly gym allowance, weekly team lunches, monthly social events, and annual off-site with the whole team. /p pbPersonal Development /b Quarterly development goals with your manager and your own budget to learn and grow. /p pbNo journey without traveling /b We support relocation and immigration to make joining Lace as smooth as possible. /p /p #J-18808-Ljbffr

ppbAt Lace Lithography, we’re scaling up our team and looking for a passionate and sharp talent to join us. We’re on a mission to do something really, really small. You’ll craft the masks that bring our patterns to life. /b /ppbIn our company we build chip lithography technology that will enable the next 100 years of chip manufacturing. Founded in 2023, we’re based in Bergen (Norway) and Barcelona (Spain), and backed by some of the world’s most ambitious investors. /b /ppLace Lithography is seeking a highly experienced bSenior Optimization Engineer /b to join our Mask Design team. In this high-impact role, you will architect and deploy the advanced nonlinear optimization engines that define the theoretical limits of our lithography systems. /ppYou will be responsible for defining how we solve high-dimensional, nonlinear problems, mentoring the team on advanced numerical methods, and establishing the standards for optimization reliability. Working alongside physicists and developers, you will deliver high-performance solutions to critical manufacturing challenges. /ppbThis role is based in Barcelona /b, and will involve regular travel between our two locations throughout the year. /ph3What you’ll do /h3ulliAdvanced Algorithm Engineering: Design and engineer custom, large-scale nonlinear optimization algorithms. You will move beyond standard implementations to develop specialized heuristics and globalization strategies that exploit the specific structure of our problem. /liliComplex Mathematical Formulation: Translate intricate multiphysics phenomena into rigorous, differentiable optimization problems, ensuring well-posedness and numerical stability for complex engineering objectives. /liliDeep Solver Integration Customization: Go beyond basic API interfacing to deeply customize solver behaviors. You will modify linear algebra backends, Hessian approximations, and callback structures to maximize solver performance. /liliCode Implementation: Write highly optimized, modular, and testable scientific code in Julia, Python, or C++. /liliGPU-Accelerated Optimization: Implement distributed and GPU-accelerated optimization routines. You will apply parallelization strategies (MPI, CUDA/Kernel abstractions) required to solve problems with millions of degrees of freedom in viable timeframes. /liliAlgorithmic Tuning Profiling: Conduct deep-dive performance analysis on critical loops. You will profile memory access patterns and algorithmic complexity to eliminate bottlenecks and resolve numerical instabilities. /liliTesting and Validation: Design comprehensive validation frameworks that stress‑test optimization convergence and ensure robustness against real‑world edge cases. /liliCross-Disciplinary Collaboration: Work closely with physics and hardware teams to ensure strong alignment between mathematical models and real-world systems. /liliTechnical Standards Best Practices: Serve as a Subject Matter Expert (SME) on numerical optimization. You will elevate the team's technical bar by conducting rigorous code reviews and championing best practices in numerical computing. /li /ulh3Who you are /h3h3Required /h3ulliEducation Experience: PhD in Applied Mathematics, Computer Science, Computational Physics, or Operations Research (or a Master’s degree with extensive industrial experience in numerical computing). /liliExpert Optimization Theory: Deep command of nonlinear optimization theory, including KKT conditions, duality, and the mechanics of Interior Point or Trust‑Region methods. /liliLarge-Scale Solving: Proven track record of formulating and solving massive-scale optimization problems (1M+ variables) in production or high-performance research contexts. /liliScientific Coding Mastery: Advanced proficiency in Julia, C++, or Python, with a strong focus on type stability, memory allocation, and vectorization. /liliNumerical Linear Algebra: Deep knowledge of sparse matrix factorizations, iterative linear solvers, and preconditioning techniques. /liliSolver Expertise: Hands‑on experience tuning and interfacing with large-scale solvers (e.g., IPOPT, KNITRO, SNOPT) at a low level. /liliDebugging Stability: Ability to diagnose complex convergence failures (singularities, scaling issues) and re‑formulate problems for numerical stability. /liliSoftware Engineering Rigor: Strong discipline in modern software practices, including version control (Git), unit testing for numerical code, and CI/CD workflows. /liliTechnical Communication: Ability to distill complex mathematical trade‑offs into clear engineering decisions. /li /ulh3Preferred /h3ulliExposure to GPU programming, high-performance computing, or parallel algorithms. /liliExperience contributing to scientific software projects or open-source tools. /li /ulh3Our team here at Lace /h3p…consists of amazing people who’ve joined us from all over the world, driven by intense curiosity, the urge for exploration, and a desire to push the limits of physics. We promise to offer you a place among highly motivated Lacers, present you with extremely difficult problems—and have a lot of fun solving them. /ph3Workplace culture /h3pLace operates out of two beautiful, vibrant, and strong-willed cities. Although we are cities apart, we strive to make the team feel as one. /ppWe don’t define values—but we have one universal expectation: /ppBe the best team player you can be. /ph3Perks and Benefits /h3h3Part of the team, part of the company /h3pCompetitive salary + equity through our incentive plan. /pp€50 monthly gym allowance, weekly team lunches, monthly social events, and annual off‑site with the whole team. /ph3Personal Development /h3pQuarterly development goals with your manager and your own budget to learn and grow. /ph3No journey without traveling /h3pWe support relocation and immigration to make joining Lace as smooth as possible. /p /p #J-18808-Ljbffr

h3Junior Optimization Engineer (UPC collaboration) /h3pJoin to apply for the strongJunior Optimization Engineer (UPC collaboration) /strong role at strongLace Lithography /strong /ph3Junior Optimization Engineer (UPC collaboration) /h3pJoin to apply for the strongJunior Optimization Engineer (UPC collaboration) /strong role at strongLace Lithography /strong /ppstrongWe’re on a mission to solve really, really complex problems. You’ll make sure our systems find the perfect solution, every time.br/strongpLace Lithography, in collaboration with the UPC CHIP Chair, is seeking a Junior Optimization Engineer to join our Mask team in Barcelona. In this role, you will help develop and scale numerical optimization methods for high-dimensional and nonlinear systems. This position is crucial for supporting the software of our advanced lithography systems. /ppstrongThis role is for a one-year contract based in Barcelona. Following the initial collaboration, there is a possibility for a permanent position at the company. /strong /ppThis is a high-impact role for an engineer with a passion for scientific programming and complex problem-solving. You will collaborate with multidisciplinary teams of physicists, software developers, and engineers. The position is a one-year contract based in Barcelona. /pstrongAbout the Role /strongpThis is a core software role at the intersection of numerical optimization, scientific computing, and engineering. You’ll be designing and implementing the algorithms that solve our most complex computational challenges, translating physical systems into robust mathematical models. /ppYou’ll collaborate closely with physicists and software developers on our Mask team to integrate advanced solvers and ensure our computational models align with real-world systems. If you have a strong foundation in nonlinear optimization and scientific programming, this is your chance to develop and scale cutting-edge optimization methods in an ambitious deep-tech environment. /pstrongWhat you’ll do /strongullistrongAlgorithm Development: /strongDesign, implement, and fine-tune nonlinear optimization algorithms for large-scale and highly complex systems. /lilistrongModeling: /strongTranslate physical or engineering systems into optimization models with clearly defined mathematical constraints and objectives. /lilistrongProgramming: /strongDevelop robust, maintainable, and high-performance code using scientific programming languages like Julia, Python, or C++. /lilistrongIntegration Acceleration: /strongIntegrate solver libraries like IPOPT via APIs and explore GPU-based techniques to accelerate computationally intensive components. /lilistrongValidation Debugging: /strongDesign test cases to validate model robustness, and debug numerical issues to improve algorithm accuracy, performance, and stability. /lilistrongCollaboration: /strongWork with multidisciplinary teams to ensure consistency between computational models and physical systems. /li /ulstrongWho you are /strongulliHaving a bachelor or masters degree in math, physics, compute science or engineering or related field /liliStrong foundation in mathematics, including calculus, linear algebra, and numerical analysis. /liliSolid knowledge of nonlinear optimization, numerical methods, and constraint handling. /liliExperience in scientific programming with languages such as Julia, Python, or C++. /liliFamiliarity with optimization libraries like IPOPT or other solvers is a plus. /liliComfortable using version control systems like Git. /liliA logical thinker with good organizational skills, able to work on several complex topics at once. /liliHas a positive attitude toward working in an interdisciplinary and computationally intensive environment. /liliFluent in spoken and written Catalan, Spanish, and English. /li /ulstrongOur team here at Lace /strongp…consists of amazing people who’ve joined us from all over the world, driven by intense curiosity, the urge for exploration, and a desire to push the limits of physics. We promise to offer you a place among highly motivated Lacers, present you with extremely difficult problems - and have a lot of fun solving them. /pstrongWorkplace culture /strongpLace operates out of three beautiful, vibrant, and strong-willed cities. Although we are cities apart, we strive to make the team feel as one. /ppWe don’t define values - but we have one universal expectation: Be the best team player you can be. /pstrongPerks and Benefits /strongpstrongPart of the team, part of the company /strong /ppCompetitive salary + equity through our incentive plan. /ppstrongPersonal Development /strongQuarterly development goals with your manager and your own budget to learn and grow. /pp️strongTravel between Lace locations /strongWe encourage cross-site collaboration and support travel between our York, Barcelona, and Bergen locations to stay connected and aligned. /p /ph3Seniority level /h3ullih3Seniority level /h3Entry level /li /ulh3Employment type /h3ullih3Employment type /h3Temporary /li /ulh3Job function /h3ullih3Job function /h3Engineering and Information Technology /lilih3Industries /h3Semiconductor Manufacturing /li /ulpReferrals increase your chances of interviewing at Lace Lithography by 2x /ppGet notified about new Optimization Engineer jobs in strongBarcelona, Catalonia, Spain /strong. /ppViladecavalls, Catalonia, Spain 6 days ago /ph3DATA SCIENTIST AND MACHINE LEARNING ENGINEER - Energy and Food /h3h3DATA SCIENTIST AND MACHINE LEARNING ENGINEER Industry Logistics /h3pBaix Llobregat, Catalonia, Spain 3 weeks ago /ph3DATA SCIENTIST AND MACHINE LEARNING ENGINEER (Industry Logistics) /h3h3DATA SCIENTIST AND MACHINE LEARNING ENGINEER (AAI) /h3h3DATA SCIENTIST AND MACHINE LEARNING ENGINEER Industry Logistics /h3h3DATA SCIENTIST AND MACHINE LEARNING ENGINEER (AAI) /h3h3DATA SCIENTIST AND MACHINE LEARNING ENGINEER (Industry Logistics) /h3pBaix Llobregat, Catalonia, Spain 1 year ago /ppWe’re unlocking community knowledge in a new way. Experts add insights directly into each article, started with the help of AI. /p #J-18808-Ljbffr