## Past Seminars

Thu May 24, 2018
3:00 pm
Since Fermat characterized (without proof) those integers represented by the quadratic form x^2+y^2, number theorists have been extending these results.  Recently a paper appeared in Journal of Number Theory answering the question for x^2 ± xy ± y^2.  It turns out that this was not news (although JNT refuses to...
• Nicole Fider
Thu May 24, 2018
1:00 pm
• Andreas Malmendier
Wed May 23, 2018
4:00 pm
In this talk, I will present on my experiences and ideas related to teaching across three different institutions (USU, Colby College, and UCSB). First, I will discuss my approach to lower division math classes that emphasizes interdisciplinary applications of mathematics to physics and engineering. Second, I will talk about my experiences with...
• Chris Davis
Wed May 23, 2018
2:00 pm
• Hung Tran
Tue May 22, 2018
4:00 pm
A free boundary minimal hypersurface in the unit Euclidean ball is a critical point of the area functional among all hypersurfaces with boundaries in the unit sphere, the boundary of the ball. While regularity and existence aspects of this subjecct have been extensively investigated, little is known about uniqueness. That motivates the study of...
• Sherwood Hachtman
Mon May 21, 2018
4:00 pm
Tree properties are a family of combinatorial principles that characterize large cardinal properties for inaccessibles, but can consistently hold for "small" (successor) cardinals such as $\aleph_2$.  It is a classic theorem of Magidor and Shelah that if $\kappa$ is the singular limit of supercompact cardinals, then $\kappa^+$ has...
• Xiangwen Zhang
Fri May 18, 2018
4:00 pm
The celebrated Alexandrov-Bakelman-Pucci Maximum Principle (often abbreviated as ABP estimate) is a pointwise estimate for solutions of elliptic equations, which was introduced in the 1960s. It was motivated by beautiful geometric ideas and has been a fundamental tool in the study of non-divergent PDEs. More recently, this...