Igor Minevich, Ph.D.
Visiting assistant professor of computer science, mathematics and physics
Department: Computer Science
Location: Center for Science and Technology Room 211
801 National Road
Richmond, Indiana 47374
I came from the Ukraine in 1997 and stayed in Indianapolis from middle school through college. I went to IUPUI, where I received a B.S. in mathematics and minored in computer science and physics. I then did my Ph.D. in mathematics at Brown University, taught at Boston College for three years, taught at Rose-Hulman Institute of Technology for two years and finally came to Earlham for fall 2019 as a visiting assistant professor in computer science, mathematics and physics. Besides these areas, I am also interested in yoga and meditation.
- Ph.D., Brown University
- B.S., Indiana University–Purdue University Indianapolis
There are many exciting and accessible (easily understandable and approachable) areas to explore with the Lights Out Puzzle. There are also many fun, probably NP-complete, puzzles that I am aware of that need an actual proof of NP-completeness (and perhaps a program to solve and generate new ones). I encourage students to ask me about the possibilities of working on either project or any other idea(s) they may have.
Collaborative student research experiences
I have done independent study projects with undergraduates ranging from the mathematics of chess to study of the stock market, but mostly I enjoy working on the Lights Out Puzzle with undergraduates. The standard puzzle is made up of a rectangular board of squares, each of which can be either on or off. All squares start on, and when one is clicked, it switches states but so do the squares directly adjacent (horizontally and vertically). The question is not just how to solve this puzzle by turning off all the lights but, perhaps more interestingly, how many solutions there are. There are lots of unstudied variants, such as changing the number of possible states of squares or the shape of the board that students can enjoy exploring, making conjectures and proving them to develop a whole mathematical theory of their own.
My Ph.D. work was in arithmetic geometry, and in particular the cohomology of topological groups with applications to number theory. I also work on cevian geometry with Patrick Morton. In addition, I like to work with undergraduates on topics of their choosing, especially the Lights Out Puzzle and the mathematics of chess.
Synthetic foundations of cevian geometry, IV: The TCC-Perspector Theorem. International Journal of Geometry 6 (2017), no. 2, 61–85. (with Patrick Morton). arXiv:1609.04297.
Vertex positions of the generalized orthocenter and a related elliptic curve, Journal for Geometry and Graphics 21 (2017), no. 1, 7-27. arXiv:1608.04614. (with Patrick Morton.)
Synthetic foundations of cevian geometry, III: The generalized orthocenter. Journal of Geometry. 108 (2017), no. 2, 437–455. (with Patrick Morton.) http://link.springer.com/article/10.1007/s00022-016-0350-2