Classification and Evaluation of Rigid Cocycles (We give the definition of rigid cocycles for Ihara`s group using divisor valued rigid cocycles and prove a classification result)

Die zwei fundamentalen Ungleichungen der globalen Klassenkörpertheorie (Bachelor Thesis; we explain the details of the proofs of the two fundamental inequalities in global class field theory following the book of Neukirch; in German)

Blochs Konstruktion der Höhenpaarung für abelsche Varietäten (Master Thesis; we explain Spencer Bloch`s construction of the height pairing for abelian varieties, filling the used background and give more details of the proofs; in German)