# Paul Bendich, Ph.D.

- Associate Research Professor of Mathematics

**Internal office address:**Box 90320, Durham, NC 277080320

**Phone:**+1 919 660 2811

### Research Areas and Keywords

##### Computational Mathematics

##### Signals, Images & Data

##### Topology

I work in computational topology, which for me means adapting and using tools from algebraic topology in order to study noisy and high-dimensional datasets arising from a variety of scientific applications. My thesis research involved the analysis of datasets for which the number of degrees of freedom varies across the parameter space. The main tools are local homology and intersection homology, suitably redefined in this fuzzy multi-scale context. I am also working on building connections between computational topology and various statistical data analysis algorithms, such as clustering or manifold learning, as well as building connections between computational topology and diffusion geometry.

A key goal of *Together Duke* is to invest in faculty as scholars and leaders of the university’s intellectual communities. To foster collaboration around new and emerging areas of interest... read more »

For his excellent work in developing Data+ into a university model for undergraduate mentoring and research, Paul Bendich has been granted the Dean's Leadership Award. This award is given to a faculty or staff member who has made a distinctive... read more »