An asymptotic for the K-Bessel function using the saddle-point method.
arXiv   Keywords: asymptotics for the Bessel function
Shrinking target horospherical equidistribution via translated Farey sequences.
arXiv   Keywords: shrinking target horospherical equidistribution, translated horospheres, equidistribution of translated Farey sequences, renormalization, Grenier domain, Cholesky factorization, space of unimodular lattices
Shrinking target equidistribution of horocycles in cusps.
Mathematische Zeitschrift. 302 (2022), 2005-2035.
Journal (open access)   arXiv   Keywords: effective shrinking target horocycle equidistribution, Fuchsian groups, method of stationary phase
Eisenstein series and an asymptotic for the K-Bessel function,
The Ramanujan Journal, 56 (2021), 323-345.
Journal (open access)  
arXiv   Keywords: asymptotics for the Bessel function, bounds on Eisenstein series
Simultaneous dense and non-dense orbits for toral diffeomorphisms,
Ergodic Theory and Dynamical Systems, 37 (4) (2017), 1308-1322.
Journal
 
arXiv
Ergodic Theory and Diophantine approximation for translation
surfaces and linear forms, with J. Athreya and A. Parrish,
Nonlinearity 29 (2016) 2173-2190.
Journal
 
arXiv
Nondense orbits for Anosov diffeomorphisms of the 2-torus,
Real Analysis Exchange 41 (2) (2016),
307-314.
Journal
 
arXiv
Simultaneous dense and nondense orbits and the space of lattices,
with R. Shi,
International Mathematics Research Notices 2015 (21) (2015), 11276-11288.
Journal
 
arXiv
Spiraling of approximations and spherical averages of Siegel
transforms, with J. S. Athreya and A. Ghosh,
J. London Math. Soc. 91 (2) (2015),
383-404.
Journal
 
arXiv
Simultaneous dense and nondense orbits for commuting maps, with V.
Bergelson and M. Einsiedler,
Israel J. Math. 210 (2015), 23-45.
Journal
 
arXiv
Bounded Lüroth expansions: applying Schmidt games where infinite
distortion exists, with B. Mance,
Acta Arithmetica 158 (2013), 33-47.
Journal
 
arXiv
Badly approximable systems of affine forms, fractals, and
Schmidt games, with M. Einsiedler,
J. reine angew. Math. 660 (2011),
83-97.
Journal
 
arXiv
Badly approximable affine forms and Schmidt games,
J. Number Theory 129 (2009), 3020-3025.
Journal
 
arXiv
Schmidt games and Markov partitions,
Nonlinearity 22 (2009), 525-543.
Journal
 
arXiv
On circle rotations and the shrinking target properties,
Discrete Contin. Dyn. Syst., 20 (2008),
1111-1122.
Journal
 
arXiv
Research Notes (Not for Publication)
Spherical averages of Siegel transforms for higher rank diagonal
actions and applications, with J. S. Athreya and A. Ghosh, (2014).
arXiv
My webpage: http://emps.exeter.ac.uk/mathematics/staff/jt533