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Topological Analysis of Copy Number in Breast Cancer
Description:
Breast cancer is a complex genetic set of diseases that remains to be understood. It is widely believed that for initiation and progression of each of these diseases a number of genes need to be missregulated. Gene missregulation may occur through gains or losses of the genome, commonly termed DNA copy number abnormalities (CNAs). CNAs are routi...
Creator:
Arsuaga, F. Javier (San Francisco State University)
Created:
2013-10-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2018-06-19
Topological Analysis of Copy Number in Breast Cancer
Topological data analysis: Understanding optical flow
Creator:
Adams, Henry (Stanford University)
Created:
2009-06-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2018-06-19
Topological data analysis: Understanding optical flow
Topological defects in a living nematic
Description:
Living nematic is a realization of an active matter combining a nematic liquid crystal with swimming bacteria. The material exhibits a remarkable tendency towards spatio-temporal self-organization manifested in the creation of dynamic textures of self-propelled half-integer topological defects (disclinations or vortices). The well-established a...
Creator:
Aronson, Igor (The Pennsylvania State University)
Created:
2018-01-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2019-02-04
Topological defects in a living nematic
Topological explorations of neuron morphology
Description:
To understand the function of neurons, as well as other types of cells in the brain, it is essential to analyze their shape. Perhaps unsurprisingly, topology provides us with tools ideally suited to performing such an analysis. In this talk I will present a selection of the results of a long-standing collaboration with Lida Kanari of the Blue Br...
Creator:
Kathryn Hess-Bellwald, Kathryn (École Polytechnique Fédérale de Lausanne (EPFL))
Created:
2022-08-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2022-09-06
Topological explorations of neuron morphology
Topological Inference in fMRI / Dimension Reduction
Description:
In the first lecture, we will provide an overview of the various ways that topological informationis used in signal detection problems in functional MRI (fMRI) and otherimaging applications. The principal tool used involves computing the expectednumber of critical points of various types of a smooth random field undersome predetermined null hypo...
Creator:
Taylor, Jonathan (Stanford University)
Created:
2013-10-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2018-06-19
Topological Inference in fMRI / Dimension Reduction
Topological methods for large and complex data sets
Description:
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.
Last Updated:
2018-06-19
Topological methods for large and complex data sets
Topological modeling of DNA recombination
Description:
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.
Last Updated:
2022-04-22
Topological modeling of DNA recombination
Topological one-way fiber of second Chern number
Description:
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.
Last Updated:
2018-06-19
Topological one-way fiber of second Chern number
Topological Phases in Transition Metal Chalcogenides
Description:
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.
Last Updated:
2018-06-19
Topological Phases in Transition Metal Chalcogenides
Topological polymer models
Description:
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.
Last Updated:
2022-04-22
Topological polymer models
Topological RNA Structures
Description:
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.
Last Updated:
2018-06-19
Topological RNA Structures
Topological Sensor Networks
Description:
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.
Last Updated:
2018-06-19
Topological Sensor Networks
Topological signal processing' target localization; integral transforms and euler calculus
Creator:
Ghrist, Robert (University of Pennsylvania)
Created:
2009-06-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2018-06-19
Topological signal processing' target localization; integral transforms and euler calculus
Topological singularities in optical waves
Description:
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.
Last Updated:
2018-06-19
Topological singularities in optical waves
Topological Structures of Ensemble Neuronal Codes in the Rat Hippocampus
Description:
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.
Last Updated:
2018-06-19
Topological Structures of Ensemble Neuronal Codes in the Rat Hippocampus
Topological Symmetries of Molecules
Description:
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.
Last Updated:
2018-06-19
Topological Symmetries of Molecules
Topological Techniques in Graph Search-based Motion Planning
Description:
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.
Last Updated:
2018-06-19
Topological Techniques in Graph Search-based Motion Planning
Topological Tools for Detecting Hidden Geometric Structure in Neural Data
Description:
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.
Last Updated:
2018-06-19
Topological Tools for Detecting Hidden Geometric Structure in Neural Data
Topological Tracking
Description:
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.
Last Updated:
2018-06-19
Topological Tracking
Topological Transport of Phonons at the Nanoscale
Description:
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...
Creator:
Marquardt, Florian (Friedrich-Alexander-Universität Erlangen-Nürnberg)
Created:
2017-04-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2018-06-19
Topological Transport of Phonons at the Nanoscale