Colloquium Lecture Series
Speaker: Dr. Kathryn Leonard, Occidental College, California, USA
Date/Time: April 15, 2019 | 4pm-5pm
Venue: Room 129, School of Business and Public Administration (SPBA), University of Guam
Shape understanding––looking at a shape and intuitively understanding which parts are, e.g., body, arms, legs, toes, and ears––is almost effortless for humans. Training a computer to understand shapes in a similar way presents substantial challenges. This talk will discuss human shape perception and the challenges of automation. We will describe a promising mathematical shape model, the Blum medial axis. Using the Blum medial axis, we will propose a method for automatically decomposing a shape into a hierarchy of parts and determining the similarity between those parts. We will end by comparing our automated results to human perception data gathered from a massive user study. Time permitting, we will present recent work using neural networks to learn skeletal models.
Dr. Kathryn Leonard's research interests are in geometric modeling with applications to computer vision and computer graphics. Her work has been recognized with a CAREER award from NSF, the Henry L. Alder Award for Excellence in Teaching from the MAA, and a Service Award from the AWM. She became a math major in her junior year of college, after her petition to waive the university's math GE requirement was rejected. Currently, she is Professor and Chair of the newly-formed Computer Science Department at Occidental College. She also directs the NSF-funded Center for Undergraduate Research in Mathematics and leads the AWM research networks Women in Shape and Women in the Data Science and Mathematics. She has held positions at CSU Channel Islands, where she helped build a university, Caltech, MSRI, and Pomona College. She still gets no respect from her cats.
Speaker: Dr. Jennifer Balakrishnan at Boston University
Date/Time: Dec 14 & 15, both 10am-12pm
Venue: 107AB Computer Center, University of Guam
Elliptic curves over the rational numbers are curves that can be described by an equation y2 = x3 + ax + b, where a and b are rational numbers. Despite such a simple description, there are many open questions about these curves (some involving prize money of a million dollars!) I'll describe some open questions and present computational tools to investigate them during this hands-on workshop. Let's see what we discover!
Jennifer Balakrishnan is a number theorist working on explicit methods for curves. Her research is motivated by various aspects of the classical and p-adic Birch and Swinnerton-Dyer conjectures, as well as the problem of algorithmically finding rational points on curves. She is currently the Clare Boothe Luce Assistant Professor of Mathematics at Boston University and is the recipient of a Sloan Research Fellowship. Previously, she was a Titchmarsh Research Fellow at the Mathematical Institute of the University of Oxford, a Junior Research Fellow of Balliol College, Oxford, and an NSF Postdoctoral Fellow at Harvard. Balakrishnan graduated from Harvest Christian Academy (2002) and received an AB and AM from Harvard University (2006) and a PhD in Mathematics from MIT (2011).
On Friday, November 16, 2018, at 4:00 –5:20 p.m. in WB 3, Dr. Raymond Paulino will hold a lecture titled:
"Abstract Algebra is a branch of Mathematics that started out from solving equations in the 1800s, and now has many applications. I first introduce the star of Abstract Algebra known as a Group and give a brief sample of Group examples. Then I move to realm of Commutative Algebra. I will introduce the notion of a Ring and, in particular, Ideals, Noetherian Rings and Cohen-Macaulay Rings. Finally, I will discuss some of my results on Minimal Reductions of Edge Ideals."
The Challenges in Mathematics Colloquium Lecture Series is organized by the Division of Mathematical Sciences of the Colleges of Natural and Applied Sciences of the University of Guam. Our location is at the Division of Mathematical Sciences in Warehouse B, next to the Health-Science Building. Our intention is to introduce a wider audience of those who are interested in mathematical challenges into state-of-the-art mathematical theories, puzzles and open problems. We invite students, colleagues working in any area of science and everybody who wants to learn more about mathematics in an accessible setting.
Everybody is welcome!
For more information: see below flyer or contact Dr. Zoltan Szekely at firstname.lastname@example.org