Kieval Lecture Series
http://hdl.handle.net/2148/1395
2020-07-11T21:39:38ZGeometry and Experiment
http://hdl.handle.net/10211.3/215873
Geometry and Experiment
Swartz, Dr. Richard Evan
This lecture will be a guided tour though some of the graphical user interfaces I have made. The first few programs, mostly demos, give neat and sometimes unexpected geometric pictures of some well-known topics in mathematics. The last few are more extensive programs which reveal hidden structure in simply stated but deceptively deep geometry problems.
2020-02-18T00:00:00ZMoving robots efficently using hig-demensional geomety
http://hdl.handle.net/10211.3/180393
Moving robots efficently using hig-demensional geomety
Ardila, Federico
Federico Ardila received his Ph.D. in 2003 from MIT and is a faculty member at San Francisco State University and the Universidad de Los Andes in his native Colombia. He studies objects in Algebra, geometry, topology, and applications by understanding their underlying combinatorial structure. He received the National Science Foundation CAREER Award and is Editor-in-Chief of the Journal of Combinatorial Theory, Ser. A. Federico is strongly committed to helping build an increasingly diverse community of mathematicians. With that goal, he started the SFSU-Colombia Combinatorics Initiative, and host over 200 combinatorics lectures on YouTube. He also co-directs the MSRI-UP undergraduate research program and has advised 40 thesis students, including 15 women, and 30 members of underrepresented groups.
How do we move a robot on a grid efficiently from one position to another? What is the most likely evolutionary tree of life? These questions lead to the study of high-dimensional "space of possibilities." Fortunately, geometers and algebraist have encountered and studied these kinds of spaces before. Thanks to the tools they've developed, we can build "remove controls" to navigate these complicated spaces. This talk will describe these techniques , and show how we have implemented them for some example of interests.
2015-09-17T00:00:00ZThrought the Looking Glass: Symmetry, the Fourth Dimension, and Beyond
http://hdl.handle.net/10211.3/180009
Throught the Looking Glass: Symmetry, the Fourth Dimension, and Beyond
Farb, Benson
Benson Farb is a Professor of Mathematics at the University of Chicago, where he studies geometry, topology, group theory and their interactions. He arrived at Chicago as a postdoc in 1994, just after getting his Ph.D. from Princeton. Farb has had 34 Ph.D. students, including 15 women. He has authored 64 papers and 5 books. Farb's awards include a Sloan Foundation Fellowship and a National Science Foundation Career award. He was elected a Fellow of the American Mathematics Society in 2012, and was an invited to speak at the International Congress of Mathematicians in Seoul in 2014.
Why are our mirror images reflected left-right but not up-down? What does the fourth dimension look like? How is it possible that a square box can be big enough to hold only one round marble, but the marble only takes up a trillionth of the space in the box? This talk will explore these questions and perhaps more surprisingly, explain how they have a profound influence on our everyday life.
2014-10-29T00:00:00ZThe Hidden Beauty of Algebra
http://hdl.handle.net/10211.3/157321
The Hidden Beauty of Algebra
Gerritsen, Margot
Is it difficult to believe that the linear algebra taught in school is attractive or even useful? Dr. Margot Gerritsen will make us believers. She shows that not only are these equations the very core of science and engineering, they can be turned into beautiful art.
2015-04-06T00:00:00Z