Jim Tseng

Papers | Presentations | Talks | Teaching | Contact Info

Jim Tseng

I am a Zassenhaus Assistant Professor in the Math Department at Ohio State. Before this, I was at Brandeis where I earned a PhD in mathematics. I also have a MS in mathematics from Yale and an AB in physics and mathematics from Harvard.

My current research interests are in dynamical systems, ergodic theory, flows on homogeneous spaces, and metric number theory.

Papers

Note that there is an arXiv version for all or almost all of the published papers below.

M. Einsiedler and J. Tseng, Badly approximable systems of affine forms, fractals, and Schmidt games, preprint. (PDF).
J. Tseng, Badly approximable affine forms and Schmidt games, J. Number Theory 129 (2009) 3020–3025. (PDF).
J. Tseng, Three remarks on shrinking target properties, preprint. (PDF).
J. Tseng, Schmidt games and Markov partitions, Nonlinearity 22 (2009), 525-543.
- An older, more detailed copy is here (PDF). The final copy is here (PDF). (The the results in the two versions are the same.)
J. Tseng, On circle rotations and the shrinking target properties, Discrete Contin. Dyn. Syst., 20 (2008), 1111-1122. (PDF).

PhD Dissertation: On shrinking target properties, May, 2008.
- The content of the dissertation is the union of my papers:
  - Three remarks on shrinking target properties
  - On circle rotations and the shrinking target properties.

Online Presentations

Markov partitions, nondense orbits, Hausdorff dimension, and a certain game, 23 slides (PDF file, PowerPoint style).
The shrinking target properties of circle rotations, 12 slides (PDF file, PowerPoint style).

Talks

University of North Texas. Dynamical Systems II Conference, 17-23 May 2009 (20 May 2009).
AMS Spring Western Section Meeting (held at SFSU). Special Session on Lie group actions, Teichmüller Flows and Number Theory, 25-26 April 2009 (26 April 2009).
Ohio State University. Ergodic Theory and Probability Seminar, 21 April 2009.
Ohio State University. Ergodic Theory and Probability Seminar, 20 November 2008.
Ohio State University. Ergodic Theory and Probability Seminar, 16 October 2008.
Brandeis and Clay Math Inst. Workshop on Shrinking Target Properties, 31 January 2008 - 3 February 2008 (1 February 2008).
Penn State University. Workshop in Dynamical Systems and Related Topics, 18-21 October 2007 (19 October 2007).
Brandeis University. Topology Seminar, 15 October 2007.
Princeton University. Ergodic Theory and Statistical Mechanics Seminar, 10 May 2007.
Yale University. Group Actions: Dynamics, Geometry, Invariants Seminar, 16 April 2007.
University of Maryland, College Park. Workshop on Dynamical Systems and Related Topics: in honor of Hillel Furstenberg, 18-21 March 2007 (18 March 2007).
Brandeis University. Everytopic Seminar, 12 March 2007.
Brandeis University. Everyperson Seminar, 5 December 2005.

Teaching

Current Teaching:
- Winter 2010: Math 254. The course webpage is here.
- Winter 2010: Math 263.02. The course webpage is here.
Past Teaching:
- At Ohio State
  - Autumn 2009: Math 153. The course webpage is here.
  - Winter 2009: Math 153. The course webpage is here.
  - Autumn 2008: Math 571. The course webpage is here.
- At Brandeis
  - Fall 2006: Math 10b-3, Integral Calculus.
  - Fall 2005: Math 10b-2, Integral Calculus.
  - Spring 2005: Math 10b-3, Integral Calculus.
  - Fall 2004: Math 10a-4, Differential Calculus.

Teaching Supplements

Tangent plane video. Click here and then on ``watch web preview'' (or download the interative for Mathematica).
Gradient vector interactive. Click here, choose an example, and move the cursor around on the upper right picture to see the gradient vector at those points.

Mailing Address:
Department of Mathematics
Ohio State University
231 West 18th Avenue
Columbus, OH 43210

Email: my last name at math.ohio-state.edu