Topology, Geometry and Data Analysis

I am interested in the interaction between topology, geometry and computer science. In my research I use insights from topology and geometry to study real-world data.

I am working currently on the following projects :

Computational Topology

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Visual Detection of Structural Changes in Time-Varying Graphs Using Persistent Homology.  (Join work with Paul Rosen, Bei Wang and Carlos Scheidegger), Submitted. 2017. PDF.

Geometric Processing

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Unknotted Strand Routings of Triangulated Meshes, (Joint Work with A. Mohammed) International Conference on DNA-Based Computers, 2017. PDF.

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Segmenting a Surface Mesh into Pants Using Morse Theory,  (Joint work with Tamal Dey and Xin Li), Graphical Models, 2016. PDF.

 

Mathematical Biology

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Graph Based Analysis for Gene Segment Organization In a Scrambled Genome, (Joint work with Natasha Jonoska,  Denys Kukushkin, and Masahico Saito) submitted, 2017.

Machine Learning

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A Bi-Level Methodology for Identification of Types of Secondary Tasks from Observed Driving Behavior Data: Application of Ensemble Tree Machine Learning Algorithms on SHRP2 NDS Data, (Joint work with Osama Osman and Sogand Karbalaieali), 97th annual meeting of the transportation research board. Accepted, 2017.

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Crash and Near-Crash Prediction from Vehicle Kinematics Data: A SHRP2 Naturalistic Driving Study, (Joint work with Osama Osman and Sogand Karbalaieali), 97th annual meeting of the transportation research board. Accepted, 2017.