Hello and welcome to my personal mathematics website. My name is Mike Winkler, also known as mikematics. I am a mathematician living on a horse farm on the German North Sea coast.

My work focuses mainly on number theory, combinatorics, and discrete geometry, including graph theory. On this website, I present some of my research in the form of articles, ideas, conjectures, and proofs on selected topics from both my academic and personal work. My favorite subjects include the 3x+1 problem, regular matchstick graphs, nonperiodic tilings, and Heesch’s problem. Beyond mathematics, I love horses and cycling, play the piano and guitar, enjoy swimming, and occasionally paint.

I hope you enjoy reading and exploring this website.