Projects

Here are some of my projects.

Chess Engine written in Julia

Chess

Julia

Julia Package

A Julia package that implements chess from scratch alongside a chess engine, Orbis. It provides functionalities to represent the chessboard, validate moves, and evaluate positions. Particularly, OrbisChessEngine implements:

September, 2025

Master’s thesis: Particle Markov Chain Monte Carlo

Bayesian

R

R Package

State Space Models

Thesis

I wrote my Master’s thesis on Particle Markov Chain Monte Carlo (PMCMC) methods, which are used for Bayesian inference in state space models when standard methods are not feasible. The thesis provides an introduction to state space models, sequential Monte Carlo methods, and MCMC methods. It explains situations where standard MCMC approaches, such as Hamiltonian Monte Carlo (HMC) used in Stan, are not applicable, specifically in cases where the latent dynamics can only be simulated and the…

Bayesian approach to disease outbreaks

Bayesian

R

Stan

In this project we will consider a Bayesian approach to modelling disease outbreaks inspired by this Stan case study. We will do this using a Susceptible-Infected-Recovered (SIR) model. The main objective is to estimate epidemiological parameters of interest.

Cox model case study

R

Survival analysis

Analyzing prostate cancer dataset using a Cox model. The primary goal is to discover patterns in survival, and to do an analysis of covariance to assess the effect of treatment while adjusting for patient heterogeneity. Prediction is a secondary goal.

Bachelor Thesis: Asymptotic Normality for Tessellation-based Betti Numbers

Python

TDA

Thesis

In this project I worked on Topological Data Analysis. In particular, I proved some Central Limit Theorems for Tessellation based Betti numbers.