NSERC Post-Doctoral Fellow
+44 1865 615353
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Power-Free Values of Binary Forms and the Global Determinant Method
International Mathematics Research Notices page rnw165-rnw165 (1 August 2017)
Square-free values of decomposable forms
Canadian Journal of Mathematics
Analytic number theory, arithmetic geometry, diophantine equations
I am currently a NSERC Post-Doctoral Fellow at the Mathematical Institute of the University of Oxford. Previously I was a Ph.D student at the University of Waterloo in Canada, under the supervision of Professor C.L. Stewart. I work mostly on analytic number theory. My recent work involves arithmetic and geometric properties of binary forms.
Prizes, Awards, and Scholarships:
Major / Recent Publications:
Density of power-free values of polynomials, with Kostadinka Lapkova, arXiv:1801.04481 [math.NT], https://arxiv.org/abs/1801.04481.
Binary quartic forms with vanishing J-invariant, arXiv:1712.09091 [math.NT], https://arxiv.org/abs/1712.09091.
The number of D4-fields with monogenic cubic resolvent ordered by conductor, with Cindy (Sin Yi) Tsang, arXiv:1712.08552 [math.NT], https://arxiv.org/abs/1712.08552.
Binary quartic forms with bounded invariants and small Galois groups,with Cindy (Sin Yi) Tsang, arXiv:1702.07407 [math.NT], https://arxiv.org/abs/1702.07407.
Square-free values of decomposable forms, to appear in Canadian Journal of Mathematics, https://cms.math.ca/10.4153/CJM-2017-060-4.
On the representation of k-free integers by binary forms, with C.L. Stewart, arXiv:1612.00487 [math.NT], https://arxiv.org/abs/1612.00487
On binary cubic and quartic forms, arXiv:1610.09208 [math.NT], https://arxiv.org/abs/1610.09208
On the representation of integers by binary forms, with C.L. Stewart, arXiv:1605.03427 [math.NT], https://arxiv.org/abs/1605.03427
Zeroes of polynomials in many variables with prime inputs, with S. Yamagishi, arXiv:1512.01258 [math.NT], https://arxiv.org/abs/1512.01258
Power-free values of binary forms and the global determinant method, Int Math Res Notices (2016) doi: 10.1093/imrn/rnw165