Zobrazeno 1 - 10
of 210
pro vyhledávání: '"Jordan S. Ellenberg"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
We define a notion of height for rational points with respect to a vector bundle on a proper algebraic stack with finite diagonal over a global field, which generalizes the usual notion for rational points on projective varieties. We explain how to c
Externí odkaz:
https://doaj.org/article/3607505bcabc43aab3e02e64c2c243bd
Autor:
Daniel Rayor Hast, Jordan S. Ellenberg
Publikováno v:
International Mathematics Research Notices. 2022:14770-14796
We study the Selmer varieties of smooth projective curves of genus at least two defined over $\mathbb{Q}$ which geometrically dominate a curve with CM Jacobian. We extend a result of Coates and Kim to show that Kim’s non-abelian Chabauty method app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b91886bd3cbb06da704dc7ff3ec72574
https://doi.org/10.1093/imrn/rnab141
https://doi.org/10.1093/imrn/rnab141
Autor:
Jordan S. Ellenberg
Publikováno v:
Discrete Analysis (2017)
Sumsets as unions of sumsets of subsets, Discrete Analysis 2017:14, 5 pp. In May 2016 there was a remarkable development in additive combinatorics. First, Croot, Lev and Pach managed to use the so-called polynomial method to obtain an exponentially
Externí odkaz:
https://doaj.org/article/513a1dc987bf43c6ad92df321ea47be1
Publikováno v:
Discrete Analysis (2016)
New bounds on curve tangencies and orthogonalities, Discrete Analysis 2016:18, 22 pp. An important subfield of combinatorial geometry is that of _incidence problems_. Typically with such a problem one has two collections $A$ and $B$ of geometrical o
Externí odkaz:
https://doaj.org/article/1176130220fd41cfa5c790e0a096ac83
Autor:
JORDAN S. ELLENBERG, MÁRTON HABLICSEK
Publikováno v:
Forum of Mathematics, Sigma, Vol 4 (2016)
In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in 3-space from characteristic 0 to characteristic $p$ , and we explain how some of the special features of algebraic geometry in characteristic $p$
Externí odkaz:
https://doaj.org/article/fcd5c844c43740f28a180eab19772290
Publikováno v:
Algebra Number Theory 14, no. 7 (2020), 1895-1909
Fixing $t \in \mathbb{R}$ and a finite field $\mathbb{F}_q$ of odd characteristic, we give an explicit upper bound on the proportion of genus $g$ hyperelliptic curves over $\mathbb{F}_q$ whose zeta function vanishes at $\frac{1}{2} + it$. Our upper b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10d9bfca1f5dce6fa7e817c9912c5bf6
https://doi.org/10.2140/ant.2020.14.1895
https://doi.org/10.2140/ant.2020.14.1895
Autor:
Jordan S. Ellenberg, Xiao Hou, Kaiping Chen, Jonathan A. Patz, Song Gao, Yuhao Kang, Qin Li, Nan Chen, Jinmeng Rao
Publikováno v:
Proc Natl Acad Sci U S A
The novel coronavirus disease (COVID-19) pandemic is a global threat presenting health, economic and social challenges that continue to escalate. Meta-population epidemic modeling studies in the susceptible-exposed-infectious-removed (SEIR) style hav
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::219e2f24cc315ab6bdc2a362af28662e
https://pubmed.ncbi.nlm.nih.gov/34049993
https://pubmed.ncbi.nlm.nih.gov/34049993
Autor:
Jordan S. Ellenberg
Decisions about how the population of the United States should be divided into legislative districts have powerful and not fully understood effects on the outcomes of elections. The problem of understanding what we might mean by "fair districting" in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2aa9fd5bb8f2afdfcf717ad22bfcb29
Autor:
Jordan S. Ellenberg, Thomas Church
Publikováno v:
Geom. Topol. 21, no. 4 (2017), 2373-2418
We prove an explicit and sharp upper bound for the Castelnuovo-Mumford regularity of an FI-module V in terms of the degrees of its generators and relations. We use this to refine a result of Putman on the stability of homology of congruence subgroups
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d770c7e4e5f4dd618506140d7b2f74a8
https://doi.org/10.2140/gt.2017.21.2373
https://doi.org/10.2140/gt.2017.21.2373
Autor:
Daniel Erman, Jordan S. Ellenberg
Publikováno v:
Algebra Number Theory 10, no. 7 (2016), 1415-1436
We give a lower bound for the size of a subset of $\mathbb F_q^n$ containing a rich k-plane in every direction, a k-plane Furstenberg set. The chief novelty of our method is that we use arguments on non-reduced subschemes and flat families to derive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::440cc1b16204293f46feb65ee91a790c
https://doi.org/10.2140/ant.2016.10.1415
https://doi.org/10.2140/ant.2016.10.1415