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Summer 2020 Lectures
Summer 2020 Lectures
Canceled due to COVID-19
Summer 2019 Lectures
Summer 2019 Lectures
The Mathematics of Recommendations
We all are relying more and more on recommendation systems, for example, when we stream movies or shop online. But have you ever wondered what makes recommendations be so accurate and work so well? A perhaps obvious ingredient is user ratings. The other one turns out to be mathematics, which is needed to analyze a large number of ratings to make personal recommendations. There have been many recent advances in this area, fueled among other things by the $1 million Netflix prize. In this talk, using only some basic tools from linear algebra, we formulate a simple and intuitive mathematical model for recommendations. We then discuss some of the mathematical tools and challenges in this area.Emory University
Mathematics and Imaging
Image processing is a very important field of research. At Emory University, a particular focus is on applications in medical imaging. Any medical imaging device (computed tomography, MRI, ultrasound, etc.) requires significant computational work to solve complicated mathematical equations to obtain the final image used by doctors. In addition, mathematical and computational techniques are used to manipulate images. For example, to monitor cancer growth over time, doctors often need to align images of the same object, but which have different orientations. This presentation will introduce some important research activities in medical imaging, and provide an introduction to some computational tools that can be used for image processing applications.Emory University
Summer 2018 Lectures
Summer 2018 Lectures
MathCircleTalk.pdfVanderbilt University
EMC WoME Coastline (1).pptxEmory University
The Golden Ratio
University of Georgia
Fractional dimensions
Normally we think of dimension as an integer given by counting the number of variables. For example a plane has coordinates (x,y) and therefore is two-dimensional. In this talk, we will discuss how to define the dimension in a more abstract way. Then we will illustrate this dimension with various interesting examples where it turns out not to be an integer.
Emory University
KochSnowflake.pdfLimitSet2.pdfLimitSet1.pdfCantorSet.pdfSierpinskiSponge.pdf
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