معرفی
Alan Koch is Professor of Mathematics at Agnes Scott College, affiliated with the Department of Mathematics within the College of Arts and Sciences. He holds a PhD and MA from the State University of New York at Albany and a BA from the University of Vermont. His academic work centers on algebra and its applications in number theory and cryptography.
Research Interests:
Professor Koch's research lies primarily in abstract algebra, including finite groups, finite fields, and Hopf algebras. He also explores number theory, cryptography, and algebraic Fibonacci sequences. His work often bridges pure algebra with applications in field theory and Galois module structure, particularly in inseparable extensions.
Recent Publications Trends:
His recent publications focus on algebraic structures in characteristic p, integral Galois module theory, and Hopf Galois structures on inseparable field extensions. One interdisciplinary paper applies mathematical modeling to evolutionary biology, specifically sex allocation in hermaphroditic species, indicating a breadth of application in mathematical thinking.
Professional Activities:
- Active researcher in algebra and number theory
- Contributor to mathematical education at the undergraduate level
- Participant in academic publishing in peer-reviewed journals
Advising and Grants:
While specific advisees and grant funding are not listed, Professor Koch likely mentors undergraduate research projects in mathematics, given Agnes Scott’s emphasis on student research and internships with institutions such as the CDC and NSA. The department supports student development through the Math Research Center and research opportunities nationwide.
Labs and Teams:
There is no mention of a dedicated research lab, but he is part of the broader Department of Mathematics team at Agnes Scott College, which fosters collaborative teaching and research. The department promotes student engagement through research projects, internships, and participation in national summer programs.
