Over the last ten years, a number of methodologies have been developed which leverage topological techniques and ways of thinking to provide understanding of point cloud data. These include ways of 'measuring' shape via homological signatures, topological mapping techniques, and applications of certain kinds of diagram constructions to collectio...
Creator:
Carlsson, Gunnar (Stanford University)
Created:
2012-03-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
DNA replication in bacteria yields two interlinked circular chromosomes. Returning the chromosomes to an unlinked monomeric state is essential to cell survival. Simplification of DNA topology is mediated by enzymes, such as recombinases and topoisomerases. We here focus on site-specific recombinases that recognize two short segments of DNA (the ...
Creator:
Vazquez, Mariel (University of California, Davis)
Created:
2019-06-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We propose topological one-way fibers enabled by the recently discovered Weyl points in a double- gyroid (DG) photonic crystal. By annihilating two Weyl points by supercell modulation in a mag- netic DG, we obtain the photonic analogue of the 3D quantum Hall phase with a non-zero first Chern number (C1). When the modulation becomes helixes, one-...
Creator:
Lu, Ling (Chinese Academy of Sciences)
Created:
2017-03-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The discovery of quantum spin Hall effect engendered a new chapter of topological materials research in condensed matter physics and materials science. In this talk, I will introduce some of our recent theoretical works about the topological phases in 2D and 3D transition metal chalcogenides. Based on first-principles calculations, we predict mo...
Creator:
Liu, Junwei (Massachusetts Institute of Technology)
Created:
2017-05-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we discuss the simplest model of a random graph embedding: the edge vectors are multivariate Gaussians conditioned on the topological constraints implied by the graph type. We will show that this model has a surprisingly rich and appealing theory, and allows for a variety of exact calculations for particular network types. This tal...
Creator:
Cantarella, Jason (University of Georgia)
Created:
2019-06-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we introduce the basic construction of topological RNA structures.We introduce shapes and the associated shape polynomial and its connection toRNA folding. We then establish the connection to unicellular maps and outlinethe combinatorial constructions that facilitate genus induction. We furthermoreshow applications of this framework...
Creator:
Reidys, Christian M. (Syddansk Universitet (University of Southern Denmark))
Created:
2013-12-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Distributed sensing, information and computation based on sensor networks comprise a new frontier in engineering and science. Cheap, easily available sensors performing collectively complicated tasks are forthcoming, and in security and other applications involving sensor networks the coverage of a region of interest is of a high importance. In ...
Creator:
Dlotko, Pawel (University of Pennsylvania)
Created:
2014-03-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Understanding of complicated spatial patterns emerging from wave interference, scattering and diffraction is frequently aided by insight from topology: the isolated places where some fundamental physical quantity -- such as optical phase in a complicated light field -- is undefined (or singular) organize the rest of the field. In scalar wave pat...
Creator:
Dennis, Mark (University of Bristol)
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The hippocampus plays an important role in representing space (for spatial navigation) and time (for episodic memory). Spatial representation of the environment is pivotal for navigation in rodents and primates. Two types of maps, topographical and topological, may be used for spatial representation. Rodent hippocampal place cells exhibit spatia...
Creator:
Chen, Zhe (Sage) (Massachusetts Institute of Technology)
Created:
2013-12-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Understanding molecular symmetries has many important applications in chemistry. Symmetry is used in interpreting results in crystallography, spectroscopy, and quantum chemistry, as well as in classifying molecules. Mirror image symmetry is particularly important in predicting reactions and designing new pharmaceutical products.The group of rigi...
Creator:
Flapan, Erica (Pomona College)
Created:
2013-12-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will introduce some techniques for topological reasoning within the purview of graph search-based motion planning. Classically, in robotics and artificial intelligence literature, a popular approach to dealing with complexities in configuration spaces (high dimension or topological non-trivialities) is to create a graph by placing...
Creator:
Bhattacharya, Subhrajit (University of Pennsylvania)
Created:
2014-03-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Experimental neuroscience is undergoing a period of rapid progress in the collection of neural activity and connectivity data. This promises to allow more direct testing of a variety of theoretical ideas, and thus advance our understanding of 'how the brain works.' Detecting meaningful structure in neural data, however, remains a significant cha...
Creator:
Curto, Carina (University of Nebraska)
Created:
2013-12-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Ayasdi technology is based on the ideas of Topological Data Analysis (TDA), and produces meaningful topological graphs across a multitude of data types (including mixed data types). Given a notion of similarity, Ayasdi will produce topological graphs which show the shape of data, generating insights into the underlying phenomena of the data set....
Creator:
Johnson, Alexis (Ayasdi, Inc.)
Created:
2014-03-06
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Topological transport of sound waves and vibrations in solids has attracted considerable attention in the past two years. Several approaches have been proposed and some have been demonstrated. However, it remains an outstanding challenge to create platforms for topological transport of phonons at the nanoscale. In this talk, I will describe thre...
The nature and quantity of data arising out of scientific applications requires novel methods, both for exploratory analysis as well as analysis of significance and validation. One set of new methods relies on ideas and methods from topology. The study of data sets requires an extension of standard methods, which we refer to as persistent topolo...
Creator:
Carlsson, Gunnar (Stanford University)
Created:
2008-10-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A photograph of a handmade Torah cover by Sara Edelstein in Hibbing, Minnesota, 1930. The cover was made for the Torah that Harry Ginsberg gave to Agudas Achim Synagogue in 1930; Also includes handwriten note dated 1994-06-27 describing the Torah Cover and provenance. Note reads: ""June 27- 1994. Torah Cover. Handmade by Sara Edelstien- Hibbing,...
Creator:
Edelstein, Sara
Contributor:
Kessler, Mildred
Created:
1994
Contributed By:
University of Minnesota Libraries, Nathan and Theresa Berman Upper Midwest Jewish Archives.
Simeon Hook, Staten Island, NY. Ph. D. in Urban Planning, consultant on synagogue environments. This item is part of an exhibition in honor of Adath Jeshurun Congregation's Centennial Celebration, October 15- December 22, 1983: "Judaic Needlework: The Continuing Legacy" held at the Jewish Community Center of Greater Minneapolis "Gallery C," 4330...
Created:
1983
Contributed By:
University of Minnesota Libraries, Nathan and Theresa Berman Upper Midwest Jewish Archives.
Myrna Tatar, Cleveland Heights, OH. Attended Cleveland Art Institute and Skowhegan school in Maine; has exhibited in numerous museum shows and has work in private collections. This item is part of an exhibition in honor of Adath Jeshurun Congregation's Centennial Celebration, October 15- December 22, 1983: "Judaic Needlework: The Continuing Lega...
Created:
1983
Contributed By:
University of Minnesota Libraries, Nathan and Theresa Berman Upper Midwest Jewish Archives.
