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Oct

19

2019

Oct

21

2019

Groups that admit aspherical presentations have rigid structural properties. For this reason, attempts have been made to determine the asphericity status of some restricted classes of group presentations. Usually, these classifications have a finite number of unresolved cases. In this talk I describe a simple computational method that I used to construct pictures in two unresolved cases. Although the presentations are not aspherical, these pictures still give us insight into the structure of the underlying group.

Oct

22

2019

Finding integer solutions to norm form equations is a classic Diophantine problem. Using the units of the associated coefficient ring, we can produce sequences of solutions to these equations. It turns out that such a sequence can be written as a tuple of integer linear recurrence sequences, each with characteristic polynomial equal to the minimal polynomial of our unit.

Oct

23

2019

Oct

25

2019

The quasistatic Biot-Pressure system is a coupled system of parabolic and elliptic partial differential equations that describe the small deformations of and fluid flow through a fully saturated elastic and porous structure. It models the situation in which the inertia effects are negligible. This arises naturally in the classical Biot model of consolidation for a linearly elastic and porous solid which is saturated by a slightly compressible viscous fluid.

Oregon State University's Department of Mathematics invites applications for a full-time (1.0 FTE), 9-month, tenure track Assistant Professor. Priority will be given to candidates who have a proven record of success in research in areas of Analysis, Probability, or Mathematical Biology. Candidates should have a PhD in Mathematics or a related field by the anticipated starting date of September 16 2020. For full consideration, applications should be completed by October 31 2019.

Interested candidates can start the application process on the MathJobs site https://www.mathjobs.org/jobs/jobs/14613 ...