Mathematics

Diplomarbeit (diploma thesis)

• [EN] Mathematical Foundations of Elliptic Curve Cryptography (May 2009) [original - pdf] [updated - pdf] [changelog]
• [DE] Präsentation der Diplomarbeit [pdf] [tex]

Essays and short notes

• [EN] Differential graded algebras (last change 2012-05-07, version 2) [pdf]
• [EN] The Weil Conjectures (Part III Seminars talk; December 2009) [pdf] [tex]

Lecture Notes

• [EN] Algebraic Geometry (Cambridge, Michaelmas Term 2009) (last change 8/10/2010, version 1.0.1) [pdf] [tex] [bzr] (CC BY-SA)
• [EN] Analysis (Northwestern, 2010/11) (last change 2011-06-14, version 1.1) [pdf] [pdf (bw)] [pdf for Kindle DX] [tex] (CC-BY-SA)
• [EN] Complex Manifolds (Cambridge, Lent Term 2010) [pdf] [tex] (CC-BY-SA)
• [EN] Differential Geometry (Cambridge, Michaelmas Term 2009) [pdf] [tex] (CC-BY-SA)
• [EN] Elliptic Curves (Cambridge, Lent Term 2010) [pdf] [tex] (CC-BY-SA)
• [EN] Geometry and Topology (Northwestern 2010/11) (last change 2011-06-11, version 1.1) [pdf] [pdf (bw)] [pdf for Kindle DX] [tex] (CC-BY-SA)
• [EN] Infinite Groups (TU Vienna, winter term 2007) (last changed 7/29/2009) [pdf] [tex] (CC BY-NC)
• [DE] Galoisverbindungen (TU Wien, Verlesung WS 2006) (Letzte Änderung 8.11.2007) [pdf] [ps] [tex] (CC BY-NC)
• [DE] Maß- und Wahrscheinlichkeitstheorie (TU Wien, Vorlesung WS 2005) (Letzte Änderung 30.10.2007, Version 1.2): [pdf] [ps] [tex] (CC BY-NC)

Talks

• [DE] Kryptographie mit elliptischen Kurven; TU Wien Diplomandenkolloquium, Juni 2009 [pdf] [tex]
• [DE] Präsentation zu "Anaylsis of a mathematical model for the growth of tumors" (Friedman and Reitich, J. Math. Biol. 38); Osterakademie 2006, gemeinsam mit Claudia Scheimbauer [pdf (3MB)]

Last Updates

• 2012-05-07: Differential graded algebras, version 2
• 2011-06-14: Analysis, version 1.1
• 2011-06-11: Geometry and Topology, version 1.1