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020 ▼a 9781088336359
035 ▼a (MiAaPQ)AAI22583522
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 510
1001 ▼a Cheng, Yun.
24510 ▼a Galois Representations and Modular Forms Mod 2.
260 ▼a [S.l.]: ▼b The University of Chicago., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 36 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 ▼a Advisor: Emerton, Matt.
5021 ▼a Thesis (Ph.D.)--The University of Chicago, 2019.
506 ▼a This item must not be sold to any third party vendors.
506 ▼a This item must not be added to any third party search indexes.
520 ▼a In this paper, we study some behaviors of elliptic curves and modular forms mod 2. In particular, we prove the Hecke action on the Jacobian of a modular curve is Eisenstein mod 2, and we use the the representation arising from 2-torsion points of elliptic curves to prove the Watkin's conjecture for certain supersingular ellipitc curves, and give a converse result on the modular degree.
590 ▼a School code: 0330.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a The University of Chicago. ▼b Mathematics.
7730 ▼t Dissertations Abstracts International ▼g 81-04B.
773 ▼t Dissertation Abstract International
790 ▼a 0330
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15492790 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK