Staff Profile
Pankaj Vishe, PhD New York University
Associate Professor, Number Theory in the Department of Mathematical Sciences
(email at pankaj.vishe@durham.ac.uk)
Research Groups
Department of Mathematical Sciences
- Pure Mathematics
- Pure Mathematics: Algebra & Number Theory
Research Interests
- Analytic Number Theory, Homogeneous Dynamics
Publications
Journal Article
- Strombergsson, Andreas & Vishe, Pankaj (2020). An effective equidistribution result for SL(2,R)\ltimes (R^2)^{oplus k} and application to inhomogeneous quadratic forms. Journal of the London Mathematical Society 102(1): 143-204.
- Marmon, Oscar & Vishe, Pankaj (2019). On the Hasse Principle for quartic hypersurfaces. Duke Mathematical Journal 168(14): 2727-2799.
- Gorodnik, Alexander & Vishe, Pankaj (2018). Diophantine approximation for products of linear maps—logarithmic improvements. Transactions of the American Mathematical Society 370(1): 487-507
- Browning, T.D. & Vishe, P. (2017). Rational curves on smooth hypersurfaces of low degree. Algebra and number theory 11(7): 1657-1675.
- Browning, T.D. & Vishe, P. (2015). Rational points on cubic hypersurfaces over F(q,t). Geometric and Functional Analysis 25(3): 671-732.
- Tanis, J. & Vishe, P. (2015). Uniform Bounds for Period Integrals and Sparse Equidistribution. International Mathematics Research Notices 2015(24): 13728-13756.
- Browning,T.D. & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal 163(10): 1825-1883.
- Vishe, P. (2013). A fast algorithm to compute L(1/2, f x X(q). Journal of Number Theory 133(5): 1502.