Overview
I am a senior lecturer in mathematics. My research focuses on homogeneous dynamics, ergodic theory, number theory (especially Diophantine approximation), geometry, and the interactions of these fields. I have previously held teaching and research positions at the University of Bristol, the University of Illinois at Urbana-Champaign, and the Ohio State University.
Research
A central theme of my research is the notion of equidistribution or the lack of it in various dynamical systems. Most of the dynamical systems that I consider arise naturally from number theory, Lie groups and their lattices, and/or questions related to physics. The tools that I use come from these fields as well as from ergodic theory/dynamical systems, harmonic analysis, and geometric measure theory.
List of my publications and preprints
Teaching
Administration
I am the Director of Postgraduate Research for Mathematics and Statistics.
Conferences Organised
Homogeneous Dynamics and Related Topics Exeter, 16 May 2022 -- 19 May 2022
(A link to the registration form is here. A mirror conference webpage hosted locally at the University of Exeter is here.)
Dynamics, number theory, and geometry @ Exeter, 05 April 2019
Qualifications
AB (Harvard), MS (Yale), PhD (Brandeis), FHEA
Publications
Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.
| 2023 | 2022 | 2021 | 2017 | 2016 | 2015 | 2013 | 2011 | 2009 | 2008 |
2023
- Tseng J. (2023) Shrinking target horospherical equidistribution via translated Farey sequences, Advances in Mathematics, volume 432, DOI:10.1016/j.aim.2023.109255.
- Tseng J. (2023) An asymptotic for the K-Bessel function using the saddle-point method. [PDF]
2022
- Tseng J. (2022) Shrinking target equidistribution of horocycles in cusps, Mathematische Zeitschrift, volume 302, no. 4, pages 2005-2035, DOI:10.1007/s00209-022-03118-0. [PDF]
2021
- Tseng J. (2021) Eisenstein series and an asymptotic for the K-Bessel function, The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu, volume 56, pages 323-345, DOI:10.1007/s11139-020-00358-8.
2017
- Tseng J. (2017) Simultaneous dense and non-dense orbits for toral diffeomorphisms, Ergodic Theory and Dynamical Systems, volume 37, no. 4, pages 1308-1322, DOI:10.1017/etds.2015.80.
2016
- Athreya J, Parrish A, Tseng J. (2016) Ergodic theory and Diophantine approximation for translation surfaces and linear forms, Nonlinearity, volume 29, no. 8, pages 2173-2190, DOI:10.1088/0951-7715/29/8/2173.
- Tseng J. (2016) Nondense orbits for Anosov diffeomorphisms of the 2-torus, Real Analysis Exchange, volume 41, no. 2, pages 307-314, DOI:10.14321/realanalexch.41.2.0307.
2015
- Shi R, Tseng J. (2015) Simultaneous Dense and Nondense Orbits and the Space of Lattices, International Mathematics Research Notices, volume 2015, no. 21, pages 11276-11288, DOI:10.1093/imrn/rnv018.
- Athreya JS, Ghosh A, Tseng J. (2015) Spiraling of approximations and spherical averages of Siegel transforms, Journal of the London Mathematical Society, volume 91, no. 2, pages 383-404, DOI:10.1112/jlms/jdu082. [PDF]
- Bergelson V, Einsiedler M, Tseng J. (2015) Simultaneous dense and nondense orbits for commuting maps, Israel Journal of Mathematics, volume 210, no. 1, pages 23-45, DOI:10.1007/s11856-015-1244-y. [PDF]
2013
- Mance B, Tseng J. (2013) Bounded Lüroth expansions: Applying Schmidt games where infinite distortion exists, Acta Arithmetica, volume 158, no. 1, pages 33-47, DOI:10.4064/aa158-1-2.
2011
- Einsiedler M, Tseng J. (2011) Badly approximable systems of affine forms, fractals, and Schmidt games, Journal fur die Reine und Angewandte Mathematik, no. 660, pages 83-97, DOI:10.1515/CRELLE.2011.078.
2009
- Tseng J. (2009) Badly approximable affine forms and Schmidt games, Journal of Number Theory, volume 129, no. 12, pages 3020-3025, DOI:10.1016/j.jnt.2009.05.006.
- Tseng J. (2009) Schmidt games and Markov partitions, Nonlinearity, volume 22, no. 3, pages 525-543, DOI:10.1088/0951-7715/22/3/001.
2008
- Tseng J. (2008) On circle rotations and the shrinking target properties, Discrete and Continuous Dynamical Systems, volume 20, no. 4, pages 1111-1122, DOI:10.3934/dcds.2008.20.1111.
