Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Christian Millichap"'
Publikováno v:
Algebraic & Geometric Topology. 22:601-656
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d7a4b0443ff0f0f6a293f30226b62d0
https://doi.org/10.2140/agt.2022.22.601
https://doi.org/10.2140/agt.2022.22.601
Autor:
Christian Millichap, Fabian Salinas
In this paper, we analyze embeddings of grid graphs on orientable surfaces. We determine the genus of a large class of k-dimensional grid graphs and effective two-sided bounds for the genus of any 3-dimensional grid graph, both in terms of a grid gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e25485d7cef193ed622ba0c2e6fe580
http://arxiv.org/abs/2104.12270
http://arxiv.org/abs/2104.12270
Autor:
Eric Chesebro, Jason DeBlois, Neil R Hoffman, Christian Millichap, Priyadip Mondal, William Worden
Neumann and Reid conjecture that there are exactly three knot complements which admit hidden symmetries. This paper establishes several results that provide evidence for the conjecture. Our main technical tools provide obstructions to having infinite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64c976b0d80c6edf724c297c441435ed
Autor:
Christian Millichap, David Futer
Publikováno v:
Proceedings of the London Mathematical Society. 115:411-447
Reid has asked whether hyperbolic manifolds with the same geodesic length spectrum must be commensurable. Building toward a negative answer to this question, we construct examples of hyperbolic 3-manifolds that share an arbitrarily large portion of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9e2be3ec744ecbdd0c8d141575b2635
https://doi.org/10.1112/plms.12045
https://doi.org/10.1112/plms.12045
Autor:
Christian Millichap
Publikováno v:
Communications in Analysis and Geometry. 25:625-683
In this paper, we explicitly construct large classes of incommensurable hyperbolic knot complements with the same volume and the same initial (complex) length spectrum. Furthermore, we show that these knot complements are the only knot complements in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7a25122fb52800136ad19658a16e2f7
https://doi.org/10.4310/cag.2017.v25.n3.a5
https://doi.org/10.4310/cag.2017.v25.n3.a5
Autor:
Christian Millichap, William Worden
In this paper, we show that any non-arithmetic hyperbolic $2$-bridge link complement admits no hidden symmetries. As a corollary, we conclude that a hyperbolic $2$-bridge link complement cannot irregularly cover a hyperbolic $3$-manifold. By combinin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35d2b675da6cb506f473dd5f771d9198
Autor:
Christian Millichap
The work of J{\o}rgensen and Thurston shows that there is a finite number N(v) of orientable hyperbolic 3-manifolds with any given volume v. In this paper, we construct examples showing that the number of hyperbolic knot complements with a given volu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59a1402881933573e4d3b4719c78ce0a
http://arxiv.org/abs/1209.1042
http://arxiv.org/abs/1209.1042
Autor:
James Cousins, Christian Millichap
Publikováno v:
Math Horizons. 22:14-15
(2014). THE VIEW FROM HERE: The Math behind College Admissions. Math Horizons: Vol. 22, No. 1, pp. 14-15.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a5d30e817974ab4ffc670e5bed12089
https://doi.org/10.4169/mathhorizons.22.1.14
https://doi.org/10.4169/mathhorizons.22.1.14