Campuses:

Topology

Wednesday, August 15, 2018 - 1:30pm - 2:00pm
Bryn Keller (Intel Corporation)
Discovering a new drug costs more than a billion dollars and takes ten years or
more. So researchers are always looking for new ways to use computers to find
more promising candidate drugs. We present a promising new system that applies
the two-parameter persistent homology to the
complex task of finding good drug candidates, by finding similarities in the 3D
shapes of the molecules.
Tuesday, August 14, 2018 - 4:00pm - 5:00pm
Brittany Terese Fasy (Montana State University)
To solve real-world data analysis questions, researchers from different fields must collaborate. Topological data analysis (TDA) combines algebraic topology (mathematics) and algorithmic developments (computer science). Recent developments in the field introduce statistical concepts to TDA.
Wednesday, August 15, 2018 - 2:30pm - 3:30pm
Brittany Terese Fasy (Montana State University)
To solve real-world data analysis questions, researchers from different fields must collaborate. Topological data analysis (TDA) combines algebraic topology (mathematics) and algorithmic developments (computer science). Recent developments in the field introduce statistical concepts to TDA.

In Part 2, we will discuss functional summaries of persistence diagrams and consider an application to prostate cancer histology. We will also discuss pros/cons of various topological descriptors (and distances).
Tuesday, January 16, 2018 - 3:30pm - 4:20pm
Thomas Machon (University of Pennsylvania)
As materials with broken translational symmetry, defects in smectic liquid crystals do not follow the traditional homotopy theoretic classification scheme, and a more geometrical approach is required. Using methods from singularity theory we study the topological classification and combination rules for point and line defects in two and three dimensional smectics.
Monday, April 24, 2017 - 2:30pm - 3:30pm
Florian Marquardt (Friedrich-Alexander-Universität Erlangen-Nürnberg)
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 three possible approaches that we have proposed. In the first, time-reversal is broken explicitly, with the help of an external laser field containing optical vortices.
Monday, March 13, 2017 - 2:00pm - 2:50pm
Ying Wu (King Abdullah University of Science & Technology)
As one of the most fundamental concepts in wave physics, resonance can give rise to a lot of interesting phenomena including low frequency band gaps. Because of its “divergent” nature, resonance also adds complexity into the modeling, and may even cause the failure of some widely adopted theories like quasi-static homogenization. In this talk, I will introduce my contributions in modeling classical wave systems with resonances by emphasizing on two major aspects: homogenization and linear dispersion relations.
Tuesday, June 7, 2016 - 1:15pm - 2:30pm
Kurt Maute (University of Colorado)
1. Basic Concepts
2. Brief Historical Overview
3. Density Method in Solid Mechanics
a. Homogenization and Explicit Interpolation Approaches
b. Ill-posedness issues
c. Regularization Methods
4. Level-set Methods in Solid Mechanics
a. Explicit Methods and Hamilton-Jacobi Approaches
b. Ersatz and Immersed boundary Methods
5. Overview of Applications in Solid and Fluid Mechanics and heat transfer

Recommended Papers:
Thursday, February 11, 2016 - 11:00am - 12:00pm
Yoonsoo Kim (Gyeongsang National University)
This talk is about the speaker's recent research work which offers ideas on how a network of dynamical systems is affected by its network topology from the performance and stability perspective. Unlike many existing works, the present talk focuses on the interplay between network topology and 'local dynamics'. More specifically, the present talk is mainly concerned with two issues.
Wednesday, May 20, 2015 - 10:20am - 11:10am
Yihong Wu (University of Illinois at Urbana-Champaign)
This talk focuses on the problem of finding the underlying communities
within a network using only knowledge of network topology. We consider a
generative model for a network, namely the planted cluster model, which is a
Friday, May 2, 2014 - 9:00am - 9:50am
Tamal Dey (The Ohio State University)
Recent data sparsification strategies in topological data analysis such as Graph Induced Complex and sparsified Rips complex give rise to a sequence of simplicial complexes connected by simplicial maps rather than inclusions. As a result, the need for computing topological persistence under such maps arises. We propose a practical algorithm for computing such persistence in Z2-homology.

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