What are some prerequisites for studying Elliptic Curves over $mathbb Q$?
$begingroup$
Suppose you had an undergraduate friend who's looking to take an introductory course on Elliptic Curves over $mathbb Q$, in the context of Number Theory. The difficulty is around the level of Silverman and Tate's Rational Points on Elliptic Curves. What topics in algebra and analysis would you advise him to self-study prior to the course in order to better follow and understand it better? Any help is appreciated!
(PS: I've seen this question as well as this, but they seem to be about Elliptic Curves over $mathbb C$, which I think is quite different and requires different prerequisites compared to Elliptic Curves over $mathbb Q$. Please do correct me if I'm wrong about this.)
number-theory reference-request soft-question elliptic-curves
asked Dec 6 '18 at 8:54
YiFanYiFan
3,3691424
$endgroup$
add a comment |
$begingroup$
Suppose you had an undergraduate friend who's looking to take an introductory course on Elliptic Curves over $mathbb Q$, in the context of Number Theory. The difficulty is around the level of Silverman and Tate's Rational Points on Elliptic Curves. What topics in algebra and analysis would you advise him to self-study prior to the course in order to better follow and understand it better? Any help is appreciated!
(PS: I've seen this question as well as this, but they seem to be about Elliptic Curves over $mathbb C$, which I think is quite different and requires different prerequisites compared to Elliptic Curves over $mathbb Q$. Please do correct me if I'm wrong about this.)
number-theory reference-request soft-question elliptic-curves
asked Dec 6 '18 at 8:54
YiFanYiFan
3,3691424
$endgroup$
1
$begingroup$
The first thing I'd suggest reading at least the first chapter to see if he is comfortable with the material. Perhaps even try reading the course notes of MIT OCW 2004 to at least get a feel of what is expected.
$endgroup$
– user10354138
Dec 6 '18 at 9:25
add a comment |
$begingroup$
Suppose you had an undergraduate friend who's looking to take an introductory course on Elliptic Curves over $mathbb Q$, in the context of Number Theory. The difficulty is around the level of Silverman and Tate's Rational Points on Elliptic Curves. What topics in algebra and analysis would you advise him to self-study prior to the course in order to better follow and understand it better? Any help is appreciated!
(PS: I've seen this question as well as this, but they seem to be about Elliptic Curves over $mathbb C$, which I think is quite different and requires different prerequisites compared to Elliptic Curves over $mathbb Q$. Please do correct me if I'm wrong about this.)
number-theory reference-request soft-question elliptic-curves
asked Dec 6 '18 at 8:54
YiFanYiFan
3,3691424
$endgroup$
Suppose you had an undergraduate friend who's looking to take an introductory course on Elliptic Curves over $mathbb Q$, in the context of Number Theory. The difficulty is around the level of Silverman and Tate's Rational Points on Elliptic Curves. What topics in algebra and analysis would you advise him to self-study prior to the course in order to better follow and understand it better? Any help is appreciated!
(PS: I've seen this question as well as this, but they seem to be about Elliptic Curves over $mathbb C$, which I think is quite different and requires different prerequisites compared to Elliptic Curves over $mathbb Q$. Please do correct me if I'm wrong about this.)
number-theory reference-request soft-question elliptic-curves
number-theory reference-request soft-question elliptic-curves
asked Dec 6 '18 at 8:54
YiFanYiFan
3,3691424
asked Dec 6 '18 at 8:54
YiFanYiFan
3,3691424
asked Dec 6 '18 at 8:54
YiFanYiFan
3,3691424
asked Dec 6 '18 at 8:54
YiFanYiFan
3,3691424
asked Dec 6 '18 at 8:54
YiFanYiFan
3,3691424
3,3691424
1
$begingroup$
The first thing I'd suggest reading at least the first chapter to see if he is comfortable with the material. Perhaps even try reading the course notes of MIT OCW 2004 to at least get a feel of what is expected.
$endgroup$
– user10354138
Dec 6 '18 at 9:25
add a comment |
1
$begingroup$
The first thing I'd suggest reading at least the first chapter to see if he is comfortable with the material. Perhaps even try reading the course notes of MIT OCW 2004 to at least get a feel of what is expected.
$endgroup$
– user10354138
Dec 6 '18 at 9:25
1
1
$begingroup$
The first thing I'd suggest reading at least the first chapter to see if he is comfortable with the material. Perhaps even try reading the course notes of MIT OCW 2004 to at least get a feel of what is expected.
$endgroup$
– user10354138
Dec 6 '18 at 9:25
$begingroup$
The first thing I'd suggest reading at least the first chapter to see if he is comfortable with the material. Perhaps even try reading the course notes of MIT OCW 2004 to at least get a feel of what is expected.
$endgroup$
– user10354138
Dec 6 '18 at 9:25
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3028242%2fwhat-are-some-prerequisites-for-studying-elliptic-curves-over-mathbb-q%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3028242%2fwhat-are-some-prerequisites-for-studying-elliptic-curves-over-mathbb-q%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
$begingroup$
The first thing I'd suggest reading at least the first chapter to see if he is comfortable with the material. Perhaps even try reading the course notes of MIT OCW 2004 to at least get a feel of what is expected.
$endgroup$
– user10354138
Dec 6 '18 at 9:25