I am Martin from Czechia. I am interested in applied maths, optics and whatever else stimulates my brain and saturates my curiosity.

1. Quantitatively testing LLM prompting techniques and strategies using ZebraPuzzles.jl as a question source in PromptBench.jl
2. Implementing and evaluating the efficiencies of SIM parameter estimation algorithms on synthetic data at SIMParameterEstimation.jl

• InterfaceFunctions.jl: A neat minimalistic way to define interfaces on abstract types in Julia
• ZebraPuzzles.jl: A package for generating, defining and solving Zebra puzzles
• MakieMaestro.jl: The missing link for publication plot exporting and simplifying the usage of the Makie.jl visualization package

SIMIlluminationPatterns.jl, SIMParameterEstimation.jl], SIMReconstruction.jl, TransferFunctions.jl

• bib-scraper: A command-line tool for scraping GoogleScholar publications, finding their DOI, enriching their metadata, fetching the attachments and uploading them to Zotero. A time saving utility for scraping publications for meta analyses. Coded in Python.
• nord.nvim: A port and customization of the Nord colour theme for NeoVim using lush.nvim.

• Bachelor Thesis repository: Reconstruction of Cell Images Acquired by Super-resolution Microscopy
• Talk: "Boundary Layer Problem": A talk about the solution to a boundary layer problem that occurs in the article by Clark et. al. (2023) with phase image vector field and other visualizations and an interactive slide presentation done via Pluto.jl.
• Research Project: "Reactive Diffusion": An exploration of the Fisher diffusion equation with a reactive term simulating the Allee effect mathematically analysed and simulated. Such an equation can be used as a simplified 1D model of population migration.
• Term Research Project: "Randomized Sparsification": An exploration of the randomized sparsification algorithm and a test of its properties and utility for large matrices implemented as a Julia package with an interactive slide presentation dove via Pluto.jl.
• Term Project: "Blasius Solution by the Target Shooting Method": An exploration and implementation of the numerical shot on target differential equation solver method and its use on the Blasius fluid dynamic boundary layer problem.
• Course work: "Inverse Problems and Imaging": Course work, homework and reports for the course with implementations, tests and analysis of the algorithms presented with figure scripts
• Course work: "Programming in MATLAB": Course final projects in MATLAB
• Talk Slides: "Backpropagation: The Backbone of Deep Learning": An exploration and analysis of the learning process for two deep learning examples and slides to accompany a talk about the backpropagation algorithm.
• Course work: "Systems Reliability and Clinical Experiments": Final projects for the course including estimation with data censoring (for clinical experiments) and analysis of a model system reliability
• Course project: "Niger River Flooding Hazard": Final project for the course "Modeling of Extremal Events" analysing the flooding hazard of the river Niger and estimating the flood hazard levels and the water flow rate probability distribution
• Programming Project: "Iterated Function Fractals": An implementation of L-system defined fractal drawing using turtle graphics implemented in C.
• Programming Project: "Blaf Game Engine": An implementation of the "blaf" game in C++ (incomplete).