You R. Name

I am a Professor of Mathematics and Chair of the Department of Mathematics, Computer Science, and Statistics at Ursinus College, where I hold the Joseph Beardwood III Chair of Mathematics. My research focuses on discrete Morse theory, digital topology, and topological data analysis. I am the author of the first comprehensive textbook on discrete Morse theory (AMS, 2019), and I regularly collaborate with undergraduate students on research projects.

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news

Jan 15, 2016	A simple inline announcement with Markdown emoji!
Nov 07, 2015	A long announcement with details
Oct 22, 2015	A simple inline announcement.

latest posts

Mar 26, 2025	a post with plotly.js
Dec 04, 2024	a post with image galleries
May 14, 2024	Google Gemini updates: Flash 1.5, Gemma 2 and Project Astra

selected publications

PhysRev

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

A. Einstein^*†, B. Podolsky^*, and N. Rosen^*

Phys. Rev., New Jersey. More Information can be found here , May 1935

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In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the other. Then either (1) the description of reality given by the wave function in quantum mechanics is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that if (1) is false then (2) is also false. One is thus led to conclude that the description of reality as given by a wave function is not complete.