I am a Canadian Mathematician with interests in Geometry, Algebra and Number Theory. I joined the Department of Mathematics and Statistics at Acadia University in Fall 2023. Currently, I serve as faculty representative to the university research ethics board. My Math Genealogy information is here.
During the spring 2022, I co-organized a CIRGET workshop entitled "Geometric and Arithmetic Frontiers of Orbifolds: a focused introductory workshop". The workshop webpage is here. There was a follow-up workshop this past spring 2023. The webpage for this past spring 2023 workshop, "Geometric and Arithmetic Frontiers of Orbifolds II: Arithmetic and hyperbolicity", is here. During the winter 2022 semester, I co-organized an informal CIRGET working seminar on Moduli spaces, Algebraic Cycles and related topics.
The list of CIRGET seminars and working seminars for the current 2023-2024 academic year is available here. This academic year, I am again co-organizing the Carleton-Ottawa Number Theory seminar. The seminar webpage is here . I also co-organized a session Algebraic, Arithmetic and Kahler Geometry: Recent developments at the 2023 Winter Meeting of the Canadian Mathematical Society.
In October 2022, I lectured at the Quebec-Maine Number Theory Conference. This past summer 2022, I attended the workshops 22w5162 and 22w5024 at the Banff International Research Station.
During the past 2022-2023 academic year, I co-organized the Carleton-Ottawa Number Theory seminar. The seminar webpage is here. This past December 2022, I co-organized a session Diophantine Arithmetic Geometry and Number Theory at the 2022 Winter Meeting of the Canadian Mathematical Society. In January 2022, I co-organized the annual CAAC conference. The workshop webpage is here.
Email:
nathan.m.grieve@gmail.com
Selected Research Articles
N. Grieve, On qualitative aspects of the quantitative subspace theorem, Rocky Mountain Journal of Mathematics, Accepted (2023) .pdf
N. Grieve, Expectations, Concave Transforms, Chow weights and Roth's theorem for varieties, Manuscripta Mathematica, Vol. 172, No. 1-2, 291--330 (2023). pdf
N. Grieve, Harder-Narasimhan polygons and Laws of Large Numbers, Canadian Mathematical Bulletin, Vol. 66, No. 1, 340-357 (2023). pdf
N. Grieve, On Duistermaat-Heckman measure for filtered linear series, Comptes Rendus Mathématiques de l'Académie des Sciences. La Société Royale du Canada. Mathematical Reports of the Academy of Science. The Royal Society of Canada, Vol. 44, No. 1, 16--32 (2022). pdf
N. Grieve, Numerical contraction for orbifold surfaces, Bulletin of the Institute of Mathematics. Academia Sinica. New Series, Vol. 16, No. 3, 241--261 (2021). pdf
N. Grieve, Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles, Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, Vol. 20, 95--119 (2021). pdf
N. Grieve and C. Ingalls, On the Kodaira dimension of maximal orders, Advances in Mathematics, Vol. 392, Paper No. 108013, 70 pp. (2021). pdf
N. Grieve, On cubic torsors, biextensions and Severi-Brauer varieties over Abelian varieties, São Paulo Journal of Mathematical Sciences, Vol. 15, No. 2, 1045--1074 (2021). pdf
N. Grieve, On arithmetic inequalities for points of bounded degree, Research in Number Theory, Vol. 7, No. 1, Paper No. 1, 14 pp. (2021). pdf
N. Grieve and J. T. -Y. Wang, Greatest common divisors and consequences for linear recurrence sequences, Transactions of the American Mathematical Society, Vol. 373, No. 11, 8095--8126 (2020). pdf
N. Grieve, Divisorial instability and Vojta's Main Conjecture for Q-Fano varieties, Asian Journal of Mathematics, Vol. 24, No. 6, 995--1005 (2020). pdf
N. Grieve, Generalized gcd for toric Fano varieties, Acta Arithmetica, Vol. 195, 415--428, (2020). pdf
N. Grieve, On arithmetic general theorems for polarized varieties, Houston Journal of Mathematics, Vol. 44, No. 4, 1181--1203 (2018). pdf
N. Grieve, Diophantine approximation constants for varieties over function fields, The Michigan Mathematical Journal, Vol. 67, No. 2, 371--404 (2018). pdf
N. Grieve, Reduced norms and the Riemann-Roch theorem for Abelian varieties, New York Journal of Mathematics, Vol. 23, 1087--1110 (2017). pdf
N. Grieve, A brief introduction to Geometric Invariant Theory, in Superschool on Derived Categories and D-branes, (pp. 57--77), (M. Ballard et al. (eds.)), Springer Proceedings in Mathematics and Statistics, Springer Nature (2018). pdf
N. Grieve, Comments related to infinite wedge representations, Comptes Rendus Mathématiques de l'Académie des Sciences. La Société Royale du Canada. Mathematical Reports of the Academy of Science. The Royal Society of Canada, Vol. 39, No. 1, 13--35 (2017). pdf
N. Grieve, Refinements to Mumford's theta and adelic theta groups, Annales mathématiques du Québec, Vol. 38, No. 2, 145--167 (2014). pdf
N. Grieve, Index conditions and cup-product maps on Abelian varieties, International Journal of Mathematics, Vol. 25, No. 4, 31 pp. (2014). pdf
E. Carlini, N. Grieve, and L. Oeding, Four lectures on secant varieties, in Connections Between Algebra, Combinatorics, and Geometry (pp. 101--147), (S. Cooper, S. Sather-Wagstaff, ed.), Springer Proceedings in Mathematics and Statistics, Springer New York (2014). pdf
N. Grieve, Segre embeddings and the canonical image of a curve, Geometriae Dedicata, Vol. 164, No. 1, 1--7 (2013). pdf