Daniel Krenn

Daniel Krenn is an Assistant Professor in the Mathematics Department at Paris Lodron University of Salzburg. He holds a Ph.D. in Technical Mathematics from TU Graz (2013) and a Habilitation in Mathematics from Alpen-Adria Universität Klagenfurt (2019). His research focuses on discrete mathematics, including asymptotic enumeration, analysis of algorithms, analytic combinatorics, digit expansions, and graph theory. He has contributed to software development in SageMath, particularly in automata and transducer modules.

Education:

• 2003–2009: Diploma in Electrical Engineering (TU Graz)
• 2005–2008: Bachelor's in Technical Mathematics (TU Graz)
• 2008–2010: Master's in Mathematical Computer Science (TU Graz)
• 2010–2013: Ph.D. in Technical Mathematics (TU Graz)
• 2019: Habilitation in Mathematics (Alpen-Adria Universität Klagenfurt)

Research Interests:

• Discrete Mathematics
• Analysis of Algorithms and Data Structures
• Digit Expansions and Cryptography
• Combinatorics and Analytic Number Theory

Key Awards:

• Promotio sub auspiciis Praesidentis rei publicae (2013)
• Austrian Mathematical Society Study Prize (2013)
• Austrian Federal Ministry of Science and Research Prize (2013)

Professional Contributions:

• Coordinator of the doctoral program “Discrete Mathematics” at TU Graz (2015)
• Contributions to SageMath software development
• Over 30 peer-reviewed publications in journals like Algorithmica, Theoretical Computer Science, and Journal of Number Theory