A complete list of my publications is available below.
- Using Topological Data Analysis to Infer the Quality in Point Cloud-based 3D Printed Objects. Joint work with Paul Rosen, Junyi Tu, Tanvirul Arafin and Les Piegl. Submitted 2018. [PDF].
- Driving Interactive Graph Exploration Using 0-Dimensional
Persistent Homology Features (Joint work with A. Suh, Bei Wang, Carlos Scheidegger, and Paul Rosen). Submitted 2017. [PDF].
- Distributed Mapper (Joint work with Basem Assiri and Paul Rosen). Submitted 2017.[PDF].
- The Shape of an Image: A Study of Mapper on Images(Joint work with Alejandro Robles and Paul Rosen). Accepted to VISAPP 2018. [PDF].
- Unknotted Strand Routings of Triangulated Meshes, (Joint Work with Mohammed Abdulmelik ) International Conference on DNA-Based Computers, 2017. PDF.
- Visual Detection of Structural Changes in Time-Varying Graphs Using Persistent Homology. (Join with with Paul Rosen, Bei Wang and Carlos Scheidegger), Submitted. 2017.
- 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. under review, 2017.
- Graph Based Analysis for Gene Segment Organization In a Scrambled Genome, (Joint work with Natasha Jonoska,
Denys Kukushkin, and Masahico Saito) submitted, 2017.
- On Rational Knots and Links in the Solid Torus, (Joint work with Khaled Bataineh, Mohamed Elhamdadi), submitted, 2017.
- Twist Regions and Coefficients Stability of the Colored Jones Polynomial (Joint work with Mohamed Elhamdadi and Masahico Saito), Accepted to Transactions of the AMS 2017. Arxiv version.
- The colored Kauffman skein relation and the head and tail of the colored Jones polynomial, Journal of Knot Theory and Its Ramifications 2017. Arxiv version.
- Generating sets of Reidemeister moves of oriented singular links and quandles, (Joint work with Khaled Bataineh, Mohamed Elhamdadi, William Youmans), submitted, 2017.
- Foundations of the Colored Jones Polynomial of singular knots, (Joint work with Mohamed Elhamdadi), Accepted to Bulletin of the Korean Mathematical Society, 2017. Arxiv version.
- Singular Knots and Involutive Quandles, (Joint work with Indu RU Churchill, Mohamed Elhamdadi, Sam Nelson) Accepted to Journal of Knot Theory and its Ramifications, 2017.
- Segmenting a Surface Mesh into Pants Using Morse Theory, (Joint work with Tamal Dey and Xin Li), 2016. Submitted.
- The colored Jones polynomial of singular knots (Joint work with Mohamed Elhamdadi), New York J. Math 2016. Arxiv version.
- Pretzel Knots and q-Series (Joint work with Mohamed Elhamdadi), Osaka Journal of Mathematics, 2016. PDF.
- The tail of a quantum spin network, The Ramanujan Journal, 2015.
- The Bubble skein element and applications, Journal of Knot Theory and Its Ramifications, 2015.
- Jones polynomial for links in the handlebody(Joint work with Khaled Bataineh), Rocky Mountain Journal of Mathematics, Vol. 43, No. 2, 2013.