Contact

Clinton Hines

Mathematician, Husband, Father, Lifelong Learner

hinescm at gmail dot com

hinesc at berea dot edu

Research and Scholarship Presentation November 25, 2024

The slides represent my research interests in quasitoric manifolds.  Links below show my interest in mathematical visualizations.  This began as an interest in the visualization of Mobius transformations.

• https://sites.google.com/site/hinescm/home/mobius-transfomations

• https://www-users.cse.umn.edu/~arnold//papers/moebius.pdf

• https://www.youtube.com/watch?v=0z1fIsUNhO4

• https://scholar.rose-hulman.edu/rhumj/vol13/iss2/8/

Teaching Presentation November 26, 2024

• https://en.wikipedia.org/wiki/Functional_response

• https://hahana.soest.hawaii.edu/cmoreserver/summercourse/2010/documents/Holling_1959b.pdf

• https://www.desmos.com/calculator/5hairdotx0

• https://en.wikipedia.org/wiki/Lotka%E2%80%93Volterra_equations

• https://www.wolframalpha.com/input?i=lotka-volterra+equations

There were a couple of typos on this worksheet when I presented the material.  These have been corrected here.

Berea College Math Lunch Slides For September 5, 2024

Many of the basics can be found here on wikipedia. 

https://en.wikipedia.org/wiki/M%C3%B6bius_transformation

An interesting video and corresponding paper can be found at the following.

https://www.youtube.com/watch?v=hhI8fVxvmaw

https://www-users.cse.umn.edu/~arnold//papers/moebius.pdf

Berea College Math Lunch Slides For Febuary 16, 2023

Links to primary sources provided in each slide.  I've misplaced the LaTeX files for this talk so I'm using those I made in 2019.  

Many thanks to Jay Hineman for helping me prepare.

https://geomdata.com/

https://www.linkedin.com/in/jay-hineman-8279138

A really great video on homology.

https://www.youtube.com/watch?v=ymF1bp-qrjU

Papers and articles on topological data analysis and persistent homology.

https://mrzv.org/publications/persistent-homology-theory-practice/ecm/

https://joss.theoj.org/papers/10.21105/joss.00925

https://towardsdatascience.com/persistent-homology-with-examples-1974d4b9c3d0

https://orbyta.it/tda-in-a-nutshell-how-can-we-find-multidimensional-voids-and-explore-the-black-boxes-of-deep-learning/

Computational topology in action

https://kepler-mapper.scikit-tda.org/en/latest/

https://www.ctralie.com/Software/

Berea College Math Lunch Slides from October 20, 2022

Links to primary sources provided in each slide.  Slides may be works in progress.