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## 2021-2022 Academic Year Colloquium Schedule

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### September 16, 2021

 Title: Visual Representations of Natural Numbers using Geometric Patterns Speaker: David A. Reimann Professor Mathematics and Computer Science Albion College Albion, Michigan Abstract: Natural numbers can be visually represented by a geometric arrangement of simple visual motifs. This representation is not unique because any partition of an integer $n$ can generate at least one geometric pattern. Thus the number of partitions of $n$ is a lower bound on the number of geometric patterns. For example, there are 17977 partitions for the number 36; it is both a square number $(6^2)$ and a triangular number $(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8).$ Aesthetic considerations often favor patterns with some degree of symmetry, such as patterns that fix a single point or wallpaper patterns. A series of geometric designs for the numbers 1–100 were created to visually highlight some properties of each number. The designs use a variety of motifs and arrangements to provide a diverse yet cohesive collection. One application of these patterns is as a teaching tool for helping students recognize and generalize patterns and sequences. Location: Palenske 227 Time: 3:30 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### September 23, 2021

 Title: Opportunities in Pathogen War Gaming Speaker: Lauren Ancel Meyers Professor Department of Integrative Biology The University of Texas at Austin Austin, Texas Abstract: Video of a talk given for the Hertz Foundation on May 6, 2021. Dr. Lauren Ancel Meyers discussed the new Center for Advanced Pathogen Threat and Response Simulation (CAPTRS) and its pioneering vision to apply sophisticated war gaming technology to build robust health and socioeconomic lines of defense against future pathogen threats. CAPTRS has three core elements that differ from the science today: (1) an AI-based synthetic threat lab that generates a universe of pathogen threats; (2) a multi-disciplinary collaboration hub where researchers convene to develop solutions; and (3) the situation room where Pathogen War Gaming™ technology will be used to simulate real-time responses and their consequences. Location: ONLINE Time: VIRTUAL Citation Click for BibTeX citation Flyer Click for a printable flyer