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Travis Scrimshaw visits the Center

Posted on 2017-08-15 by

Dr. Travis Scrimshaw came to visit the Center for Applied Mathematics, Tianjin University from August 08-18, 2017. Travis Scrimshaw received his PhD in 2015 from the University of California Davis under the direction of Anne Schilling. He spent 2 years at the University of Minnesota as a postdoc under the mentorship of Pasha Pylyavskyy. He will be starting a 2 year postdoc at the University of Queensland working with Ole Warnaar. His primary work is in combinatorial representation theory: a field of mathematics in which combinatorial objects encode the actions of certain algebras. Specifically, his work focuses on Kashiwara‘s crystal bases for Drinfeld—Jimbo quantum groups and examining their connection with mathematical physics through combinatorics.

On August 12, 2017, Travis gave a talk titled “Rigged Crystals and Dynamics,” where he discussed some of his current research. In the first part of the talk, he summarized his work with Ben Salisbury on a model for highest weight crystals using combinatorial objects called rigged configurations that arose from statistical mechanics. For the second part, he described the classical box-ball system of Takahashi and Satsuma and how rigged configurations can be used to study the box-ball system and its generalization, soliton cellular automata. Specifically, he described how a number of properties of the dynamical system can be easily described with rigged configurations.

Travis is a long-time contributor to SageMath, an open source mathematical software package. He has added code not only to the combinatorics and algebra aspects of SageMath, but also reviewed other developers’ code in a variety of areas of mathematics. Furthermore, he has been an organizer for a number of “SageDays,” conferences dedicated to increasing the number of users and developers, as well as working on code with other contributors. During his visit, Travis also spent some time discussing SageMath with students and faculty, where he hopes to work more with the people at the Center for Applied Mathematics on SageMath in the future.

Center for Applied Mathematics, Tianjin University, No.92 Weijin Road, Tianjin 300072, P. R. China