Joshua Brandon Holden

Joshua Brandon Holden is a Professor of Mathematics at Rose-Hulman Institute of Technology, where he has established himself as an expert in number theory and cryptography. His work bridges theoretical mathematics with practical cryptographic applications, and he has contributed significantly to both academic research and educational initiatives at the institution.

Education:

• PhD in Mathematics from Brown University (1998)
• AM in Mathematics from Brown University (1994)
• AB in Mathematics from Harvard University (1992)

Dr. Holden's research focuses on computational number theory, discrete logarithms, algebraic number theory, and applications of number theory to cryptography. His work explores the mathematical foundations of cryptographic systems, with particular attention to the discrete exponential function and its properties. He has also pioneered interdisciplinary connections between mathematics, computer science, and art through his investigations of braids, cables, and weaves using mathematical models. His research demonstrates how pure mathematical concepts can have practical applications in information security and artistic patterns.

Dr. Holden's publication record reveals a consistent focus on the intersection of mathematics and cryptography, with a special emphasis on educational applications. His work spans theoretical investigations of number-theoretic concepts, practical cryptographic implementations, and innovative approaches to teaching complex mathematical ideas. A notable trend in his research is the connection between abstract mathematical structures and tangible real-world applications, including secure communication systems and artistic patterns.

Scientific Awards:

• Honorary Member of Upsilon Pi Epsilon (2008)
• Best Paper in Mechanical Engineering Division at ASEE Annual Conference (2005)

Dr. Holden has led National Science Foundation-funded research projects exploring discrete logarithms and has served as a cryptography consultant for Vadium Technology, Inc. since 2003. He has advised numerous student projects and theses in mathematics and cryptography. Additionally, he has played a leadership role on campus by chairing the committee on integrating classroom technology, demonstrating his commitment to innovative teaching methods and educational technology. His book 'The Mathematics of Secrets: Cryptography from Caesar Ciphers to Digital Encryption' has made complex cryptographic concepts accessible to a broader audience.

While specific laboratory information isn't provided in the text, Dr. Holden's work with wireless tablet PCs and mathematical software suggests he has been involved in developing technology-enhanced learning environments. His research on braids and cellular automata also indicates interdisciplinary collaborations that bridge mathematics with computer science and artistic applications.