Theoretical and Computational Aspects of New Lattice Fermion Formulations
My PhD thesis in computational physics, which brings together much of my work on lattice fermion formulations, numerical methods, and related theoretical questions.
Christian Zielinski, PhD
I work at the intersection of technology leadership, infrastructure, governance, and organizational design. Much of my work has focused on architecture, modernization, and large-scale IT transformation, especially where target operating models, decision structures, and technical direction need to translate into execution. Before moving fully into enterprise IT, I spent several years in computational physics and scientific computing — a background that still influences how I think about systems, complexity, and trade-offs.
profile
01 / identity
I am most interested in technology problems that sit between strategy and execution. That usually means turning broad intent into concrete target states, operating models, and decision structures that teams can actually work with. I care about governance, but only when it helps people move faster, make better decisions, and make the organization’s technology landscape easier to steer.
Over the years, I have worked across architecture, target operating models, governance, and modernization in environments where reliability and long-term maintainability matter. I enjoy the leadership side of that work, but I still care a great deal about what happens below the surface: infrastructure, service quality, integration boundaries, operational complexity, and the practical transition from new technology into stable operations.
Before moving fully into enterprise IT, I spent several years in computational physics and scientific computing. I still see that as an important part of how I think: analytical, structured, and careful about complexity, approximation, and trade-offs. It also left me with a lasting interest in scientific computing, numerical methods, and quantum computing.
technology
02 / leadership
My professional center of gravity is senior technology leadership, especially where infrastructure, governance, and organizational design meet. I am most interested in how organizations make good technical decisions at scale: how target operating models support delivery, how standards stay useful, how governance stays grounded, and how infrastructure and platforms can evolve in ways that support change rather than slow it down.
My work has often been less about individual technologies than about making complex IT environments easier to steer over time. In practice, that means shaping target states and roadmaps, clarifying responsibilities, improving service orientation, and ensuring that new capabilities can be absorbed into stable operations rather than remaining permanent exceptions.
On the more hands-on side, I still enjoy code, technical writing, and compact side projects. A good example is my talk on secure multi-party computations, which reflects my interest in topics at the intersection of mathematics and computer science, especially when technically rigorous ideas become useful in real systems. GitHub is not the main story here, but portfolioopt remains a compact example of the overlap between programming, mathematics, and practical problem solving that has always appealed to me.
Secure Multi-Party Computations
A technical talk on secure multi-party computations, cryptographic protocols, and distributed trust. It is a good example of the kinds of topics I find most interesting: mathematically grounded computer science with a clear connection to real systems.
talk
cryptography
privacy-preserving computation
portfolioopt
Financial portfolio optimization routines in Python, including Markowitz, minimum-variance, and tangency portfolios. It is a compact example of the sort of technically grounded side work I still enjoy.
python
quantitative methods
portfolio optimization
GitHub
A modest but still useful public record of code, talks, and technical side interests.
code
talks
technical side interests
research
03 / physics
My academic background is in computational physics, especially lattice field theory and related numerical questions. Even though that phase of my career is behind me professionally, it still shapes how I think. It taught me to think carefully about models, approximation, performance, and the difference between elegant theory and computational reality.
All publications are linked directly here so the homepage also serves as a compact index to my academic work. I have highlighted three items that best represent the arc of that work: the PhD thesis, one paper on staggered domain wall fermions, and one on stochastic quantization in the Thirring model.
Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
A representative paper on lattice fermion formulations, numerical methods, and chiral symmetry, using the Schwinger model as a controlled setting for studying these questions.
Thirring model at finite density in \(0+1\) dimensions with stochastic quantization: Crosscheck with an exact solution
A paper on stochastic quantization and finite-density problems, with a particular emphasis on checking numerical methods against an exact solution.