Jaroslaw (Jarek) Kwapisz
Professor of Mathematics
My Schedule
Research
My background is in Dynamical Systems. I have worked on problems in several subject areas, including integral and differential equations, iterated maps modeling coupled non-linear oscillators, pattern formation in fourth-order Hamiltonian systems, ergodic theory and entropy in smooth and symbolic dynamics, cohomological Conley index and cocyclic subshifts, almost-periodic tiling spaces and quasi-crystals, abelian-Nielsen classes and geometry of translation surfaces, and conformal dimension of fractal sets. My current purely mathematical interests include quasi-symmetric renormalization for infinitely ramified fractals, Anosov maps on infra-nil manifolds, non-Meyer substitution Delone sets, and multi-dimensional continued fractions. Much of my time is also spent on bringing geometrical insights into electrical engineering problems in multi mode fiber-optic communications and on poking around quantum computing and Quantum Mechanics in general.
Current Teaching
- M 596 Dynamical Systems II (Spring 2024, TR 1:40-2:55 PM Wilson 1-144, see D2L for details)
Recent Past Teaching
- M 595 Dynamical Systems I (Fall 2023)
- M 585 Functional Analysis II (Spring 2023)
- M 584 Functional Analysis I (Fall 2022)
- M 221Introduction to Linear Algebra (Spring 2022)
- M 431 Abstract Algebra I (Spring 2022)
- M 221 Introduction to Linear Algebra (Fall 2021)
- M 431 Abstract Algebra I (Spring 2021)
- M 547 Measure Theory (Fall 2020)
- M 596 Dynamical Systems II (Spring 2020)
- M 547 Measure Theory (Fall 2019)
- M 595 Dynamical Systems I (Fall 2019)
- M 333 Linear Algebra (Spring 2019)
- M 504 Abstract Algebra (Spring 2019)
- M 181 Honors Calculus I (Fall 2018)
- M 547 Measure Theory (Fall 2018)
- M 221 Matrix Theory (Spring 2018)
- M 504 Abstract Algebra (Spring 2018)
- M 181 Honors Calculus I (Fall 2017)
- M 547 Measure Theory (Fall 2017)
- M 221 Matrix Theory (Spring 2017)
- M 598 Topics in Mathematics: Hyperbolicity in Dynamics and Geometry (Spring 2017)
- M 181 Honors Calculus I (Fall 2016)
- M 547 Measure Theory (Fall 2016)
- On Sabbatical (Spring 2016)
- M 221 Matrix Theory (Fall 2015)
- M 595 Dynamical Systems I (Fall 2015)
- M 455 Intro to Dynamical Systems II (Spring 2015)
- M 333 Linear Algebra (Fall 2014)
- M 551 Complex Analysis (Spring 2014)
- M 596 Dynamical Systems II (Spring 2014)
- M 595 Dynamical Systems I (Fall 2013)
- M 540 Calculus on Manifolds (Fall 2013)
- M 598 Topics in Mathematics (Spring 2013)
- M 585 Functional Analysis II (Spring 2013)
- M 333 Linear Algebra (Fall 2012)
- M 584 Functional Analysis I (Fall 2012)
- M 221 Matrix Theory (Spring 2012)
- M 545 Partial Differential Equations II (Spring 2012)
Math Links
- MSU Mathematics (text version)
- Bozeman Seminar (Search Page)
- Dynamics Page at Stony Brook
- MSRI
- Luminy
- Math Genealogy
PhD Students
- Eric Fink (2020)
- Hannah (Sobek) Bergren (2016)
- Andy Bouwman (2013)
- David Buhanan (2012)
- Mark Mathison (2012)
Why Bozeman?
- Briger Bowl (Winter 2010) (see also Winter 1998, which I missed :( *)
- Dailey Lake (Sept 2015) (+ a moving picture:)
Disclaimer: The contents of this page reflect solely the opinions of the author who originated it. It has not been reviewed by, nor is it a publication of the Montana State University.