DR. MATH. · SOFTWARE DEVELOPER

Jan-Paul Lerch

I enjoy working on problems that can only be solved by considering domain context, data and technical implementation together. My eye for complex structures is shaped by my experience in mathematical research.

NOW

What I'm doing

SOFTWARESoftware & AI developmentFreelance · BerlinWeb applications, data pipelines and LLM-based tools for specialised domains. My work so far has focused on medicine and legal tech.↓ more belowRESEARCHResearch associate — nephrogeneticsCharité Berlin · Halbritter LabData analysis, database pipelines and quantitative tools for nephrogenetic research.↓ more below
01 — SOFTWARE

Software

I build specialised software and take the time to understand the domain behind it. The aim is software that fits both the requirements and the way it will be used.

AI & language models
Retrieval, information extraction and LLM-based processing of specialised documents.
Research & data tools
Data pipelines, analysis tools and automated workflows for research and medical applications.
Web applications
Data-driven applications, APIs and interactive visualisation with TypeScript.
Mathematical modelling
Algorithms and optimisation methods for problems with complex structures where standard approaches fall short.
HOW I WORK
01 — Structure the requirements
Domain requirements and data structures become clear technical specifications.
02 — Develop with AI agents
LLM- and agent-assisted workflows accelerate design, implementation and iteration.
03 — Assure quality systematically
Clear architecture, automated tests and CI/CD ensure quality and reproducible workflows.
02 — SELECTED PROJECTS

Software for specialised domains

Three examples of how I combine domain requirements, complex data and software development.

CLINICAL NLPPhentrieveExtracting HPO phenotypes from clinical free text with sentence-transformer models.Python · NLP · Sentence TransformersRESEARCH SOFTWAREClinical Research Data PlatformA modular application for the structured management of complex clinical research data.Vue · TypeScript · Software ArchitectureLEGAL TECHSignatumA completed MVP for digital power-of-attorney workflows and structured registry data in M&A.TypeScript · Next.js · PostgreSQL
view all projects →
03 — RESEARCH

Research

At Charité, I work on data-driven and quantitative methods for nephrogenetic research. This includes clinical data analysis, database and processing pipelines, and quantitative tools for scientific questions.

In 2023, I completed my PhD at Bielefeld University under the supervision of Professor Henning Krause, with a thesis on the representation theory of persistence modules. My mathematical research connects representation theory, topological data analysis and statistics. It focuses on persistence modules, Hodge Laplacians and mathematical methods for complex data structures.

Local Characterization of Block-Decomposability for Multiparameter Persistence Modules
Homology, Homotopy and Applications
2026
The Spectrum of the Real Line
Journal of Pure and Applied Algebra
2025
On Empirical Hodge Laplacians under the Manifold Hypothesis
2025
all publications & talks →
CONTACT

Get in touch

I'm always open to new projects, collaborations and exchanging ideas.

contact@jplerch.eu · GitHub · LinkedIn

ElsewhereUni Bielefeld · ORCID · Google Scholar