Univ.-Prof. Dr. Clemens Fuchs

MSc Theses

  • Sebastian Heintze, Ausgewählte Eigenschaften von elliptischen Kurven (2018)
  • Gerhard Holzer, Geteilte Geheimnisse (2015)
  • Andreas Taber,  Primfaktorzerlegung in Zahlenringen (2015)
  • Christoph Hofer, The unit equation over function fields and applications (2013)

Diploma  

  • Bogner Michael Philipp,  Integraltransformationen: Anwendungen der Fourier-, Laplace- und Mellin-Transformation (2017)
  • Michael Illmer, Warum beschreiben Zahlen die Wirklichkeit so genau?: Konstruktion der Wirklichkeit und konstruktive Mathematik (2014)
  • Maria-Anna Kern, Das Millenniumproblem P = ? NP: Grundlagen der Komplexitätstheorie & Anwendungen (2014)

PhD Theses

  • Christina Karolus, Composition of polynomials, lacunarity, and linear recurrences (2019)
  • Christoph Hutle, Diophantine triples and linear recurrence sequences (2018)

Ao.Univ.-Prof. Dr. Peter Hellekalek

MSc Theses    

  • Markus Hittmeir, Primzahltests und Faktorisierungsverfahren (2015)
  • Anna-Maria Kopf, b-adic Function Systems (2014)
  • Manuel Steinberger, Quantenkryptographie: Das BB84-Protokoll (2011)    
  • Peter Kurz, Mathematical principles of stream ciphers - Linear feedback shift registers (2011)
  • Simon Haegele , On the Torus (2011)
  • Christian Polt, A p-adic Spectral Test (2011)    
  • Florian Greinecker, Finite Dynamical Systems (2010)    
  • Josef Reichinger, Dyadic Diaphony (2010)    
  • Johannes Stemeseder, On the Spectral Test (2009)
  • Michael Kocher, Nonlinear Boolean Functions (2008)
  • Elmar Pauwels, Applied Aspects of p-adic Integers (2008)

Diploma  

  • Gaisbauer Stefanie,  Kryptographie als Grundlage elektronischen Geldes (2016)
  • Elisabeth Linner, Digitales Geld : kryptographische Grundlagen von digitalen Zahlungssystemen in Hinblick auf die dezentralisierte Währung Bitcoin (2015)
  • Amelie Biberger, Zu Pi (2014)
  • Katharina Schneeweiß, Klassische kryptographische Methoden (2013)    
  • Elke Berger, Primality Tests (2013)         
  • Andreas Kaplinger, Die Konstruktion regelmäßiger n-Ecke mit Zirkel und Lineal (2013)
  • Stefanie S. Loiperdinger, Linear and Differential Cryptanalysis and Recent Attacks on SHA-1 (2007)    
  • Sigrid Panisch, General Collision Aspects of Hash Functions (2007)    
  • Werner Kendlbacher, Asymmetrische Kryptografie - Ein Arbeitsbuch für den Bildungsbereich (2007)
  • Marianne Hirschbichler, Der Fingerabdruck als biometrischer Autorisierungscode zur Ablösung einer elektronischen Signatur (2005)
  • Karin Wallnstorfer, Die Entschlüsselung der Enigma (2005)    
  • Andrea Röck, Pseudorandom Number Generators for Cryptographic Applications (2005)
  • Dennis Hammer, A Reader on Internet Security (2000)    
  • Karin Schaber, Digital Inversive Congruential Generators (1997)         
  • Otmar Lendl, Explicit Inversive Pseudorandom Number Generators (1996)    
  • Stefan Wegenkittl, Empirical Testing of Pseudorandom Number Generators (1995)  
  • Hannes Leeb, Random Numbers for Computer Simulation (1995)        
  • Andreas Weingartner, Nonlinear congruential pseudorandom number generators (1994)

PhD Theses

  • Markus Hittmeir, On the Complexity of Integer Factorization and Related Problems (2018)
  • Alexander Bors, On Dynamical Aspects of Finite Group Endomorphisms (2016)
  • Karin Schaber, Digital Inversive Random Number Generators (2000)    
  • Stefan Wegenkittl, Generalized \phi-Divergence and Frequency Analysis in Markov Chains (1998)    
  • Hannes Leeb, Stochastic Proberties of Diaphony (1997)    
  • Karl Entacher, Generalized Haar function systems in the theory of uniform distribution of sequences modulo one (1995)

Ao.Univ.-Prof. Dr. Wolfgang Schmid

MSc Theses

  • Lukas Seiwald, Die Eulersche Identität (e^iπ)+1=0 (2016)
  • Johannes M. Brunnauer, Lineare Codes und (t,m,s)-Netze (2014)    
  • Klemens M. Ludwig, Euklid & Wythoff - Kombinatorische Spiele in der aktuellen Forschung (2013)
  • Brigitte Lottermoser, Eigenschaften von Fibonacci Zahlen in Bezug auf die Eulersche Phi-Funktion (2012)
  • Florian Pausinger, Discrepancy of generalised van der Corput sequences (2011) 
  • Iris Winterberger, Lucas-Folgen und weitere Primzahltests (2010)    
  • Alexander Schnell, Rechnergestützte Gebietseinteilung als Anwendung der linearen Optimierung (2010)    
  • Verena Horak, On the Minimum Distance of Cyclic Codes (2008)

Diploma

  • Tobias Fellner, Würfelverdopplung und Winkeldreiteilung (2014)    
  • Benjamin Reichenwallner, Vollkommene Zahlen (2013)    
  • Iris Winterberger, Primzahltests (2008)
  • Horst Trinker, Linear Programming Bounds on Ordered Orthogonal Arrays (2007)

PhD Theses

  • Horst Trinker, New bounds for codes, ordered codes, orthogonal arrays and (t,m,s)-nets (2010) 
  • Rudolf Schürer, Ordered Orthogonal Arrays And Where to Find Them (2006)
  • Peter Kritzer, Discrepancy Estimates for Two-Dimensional Nets and Sequences (2004)

Ass.-Prof. Dr. Volker ZIEGLER

MSc Theses

  • Ingrid Vukusic, Application of complex and p-adic linear forms in logarithms in Diophantine equations (2019)

Diploma 

  • Martin Hebenstreit, Färbung von Graphen: Grundlagen, Algorithmen und Anwendungen (2018)
  • Robert Hemetsberger, Die Mathematik der Knoten - das Jones-Polynom (2016)
  • News
    At the end of March, in the middle of the Corona pandemic, Croatia was hit by a severe earthquake. With this special call ÖAW (Austrian Academy of Sciences) sets a humanitarian sign and does its utmost best to support scientific collaboration with Croatian colleagues.
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    150 participants have already taken the opportunity to register for more than 50 courses on IT and digitialisation at the ditact_women's IT summer studies at the University of Salzburg, which will take place from the 01.09.-12.09.2020.Registration is still possible until the 12. July and then the remaining places will be taken as last minute reservations.
    „UNInteressant? – "Ideas that will improve our lives": With this slogan Universities Austria (uniko) is launching an online-campaign, in which all of the 22 public universities will cooperate with the Austrian Science Fund the FWF.
    01.09.-12.09.2020, https://ditact.ac.at. Due to the current pandemic situation the ditact_womens IT summer studies of the University of Salzburg will take place a week later than planned, from the 01.09.-12.09.2020. Most of the courses will be held online.
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