معرفی
John Griesmer is a Teaching Assistant Professor in the Department of Applied Mathematics and Statistics at the Colorado School of Mines. He holds a PhD and MS from The Ohio State University and a BS from Miami University. His research focuses on ergodic theory, additive combinatorics, and harmonic analysis, with a particular emphasis on recurrence phenomena, Bohr sets, and structural properties of sumsets within abelian groups. His work bridges topological and measurable dynamics, exploring connections between algebraic structures and combinatorial patterns.
Education:
- PhD in Mathematics, The Ohio State University
- MS in Mathematics, The Ohio State University
- BS in Mathematics, Miami University
Research Interests:
- Ergodic theory: recurrence in dynamical systems, rigidity phenomena
- Additive combinatorics: sumset structures, intersective sets, sparse configurations
- Harmonic analysis: Bohr neighborhoods, Fourier analysis on groups
Recent work examines distinctions between topological and measurable recurrence, properties of difference sets in abelian groups, and applications of ergodic methods to combinatorial problems. His publications often explore foundational questions in these areas, with contributions to both theoretical frameworks and specific case analyses.
Current courses include Math 112 (Calculus II) and Math 301 (Introduction to Analysis), reflecting his commitment to both foundational mathematics education and advanced theoretical training.
