About
My name is Roman Kogan. I got my PhD in Mathematics from Texas A&M University (advisor: Rostislav Grigorchuk). My undergraduate degree was from SUNY Stony Brook.
Email: romwell@gmail.com
Curriculum Vitae [2021]: [PDF]
PhD Dissertation: Measures Induced by Automata and Their Actions [PDF]
Past Teaching:
Research and other work
Papers:
- [ArXiv]On a Basis for the Framed Link Vector Space Spanned by Chord Diagrams, with B.Bischof, D.N.Yetter (JKTR)
- Automatic Logarithm and Associated Measure (upcoming, with R. Grigorchuk and Y. Vorobets)
- Images of Markov Measures(upcoming, with R. Grigorchuk and Y. Vorobets)
- [PDF] Finite-state machines and measures, Groups and Friends, USF 2018, Tampa, FL
- [PDF] Markov, Sofic and Gibbs measures associated with automaton maps, YGGT 2017, Oxford, England
- [PDF] Measure induced by automata acting on binary trees, YGGT 2016, KIT, Germany
- [PDF] Algorithms and Software for Computation in n-dimensional Thompson Groups nV. Growth, Symbolic Dynamics and Combinatorics of Words in Groups, ENS, Paris, 2015.
- [PDF] Proving Benniquin Inequality from Knot Diagrams. SUNY Stony Brook, 2010.
- NvTrees, n-dimensional Thompson groups calculator (Java Applet and Standalone);
- Chord Diagrams, a Java/Mathematica software for the paper with Bischof and Yetter;
Github: See my GitHub.
Other things:
- ADHD wiki: a resource for learning about adult ADHD from a first-person perspective
- Listen to my music (and check back for new stuff once in a while!).
- Math art: explore the Mandelbrot Set, or play with cycloids, or just wathc some circles change colors;
- Try the arcball interface implemented in Processing JS and learn how quaternions are useful in computer graphics;
- Read a survey of history of elctronic music (also as [PDF]);
- Introduction to LaTeX - a simple LaTeX document that serves as an introduction, example, and a template;
- Play with the Webcam Scanner Camera. Take pictures with one dimension in space, and another in time;
- Check out the ever-to-be-updated 3D printing adventures album.
- Read A paper of interest, which tell the story of what the natural log has to do with credit cards.