Skip to content
By using Twitter’s services you agree to our Cookies Use. We and our partners operate globally and use cookies, including for analytics, personalisation, and ads.

This is the legacy version of twitter.com. We will be shutting it down on June 1, 2020. Please switch to a supported browser, or disable the extension which masks your browser. You can see a list of supported browsers in our Help Center.

  • Home Home Home, current page.
  • About

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @
  • Language: English
    • Bahasa Indonesia
    • Bahasa Melayu
    • Català
    • Čeština
    • Dansk
    • Deutsch
    • English UK
    • Español
    • Filipino
    • Français
    • Hrvatski
    • Italiano
    • Magyar
    • Nederlands
    • Norsk
    • Polski
    • Português
    • Română
    • Slovenčina
    • Suomi
    • Svenska
    • Tiếng Việt
    • Türkçe
    • Ελληνικά
    • Български език
    • Русский
    • Српски
    • Українська мова
    • עִבְרִית
    • العربية
    • فارسی
    • मराठी
    • हिन्दी
    • বাংলা
    • ગુજરાતી
    • தமிழ்
    • ಕನ್ನಡ
    • ภาษาไทย
    • 한국어
    • 日本語
    • 简体中文
    • 繁體中文
  • Have an account? Log in
    Have an account?
    · Forgot password?

    New to Twitter?
    Sign up
MathPrinceps's profile
Laurens Gunnarsen
Laurens Gunnarsen
Laurens Gunnarsen
@MathPrinceps

Tweets

Laurens Gunnarsen

@MathPrinceps

Mathematical physicist and mentor to mathematically talented youth. Talent is that which bridges the gap between what can be taught and what must be learned.

Joined June 2012

Tweets

  • © 2020 Twitter
  • About
  • Help Center
  • Terms
  • Privacy policy
  • Imprint
  • Cookies
  • Ads info
Dismiss
Previous
Next

Go to a person's profile

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @

Promote this Tweet

Block

  • Tweet with a location

    You can add location information to your Tweets, such as your city or precise location, from the web and via third-party applications. You always have the option to delete your Tweet location history. Learn more

    Your lists

    Create a new list


    Under 100 characters, optional

    Privacy

    Copy link to Tweet

    Embed this Tweet

    Embed this Video

    Add this Tweet to your website by copying the code below. Learn more

    Add this video to your website by copying the code below. Learn more

    Hmm, there was a problem reaching the server.

    By embedding Twitter content in your website or app, you are agreeing to the Twitter Developer Agreement and Developer Policy.

    Preview

    Why you're seeing this ad

    Log in to Twitter

    · Forgot password?
    Don't have an account? Sign up »

    Sign up for Twitter

    Not on Twitter? Sign up, tune into the things you care about, and get updates as they happen.

    Sign up
    Have an account? Log in »

    Two-way (sending and receiving) short codes:

    Country Code For customers of
    United States 40404 (any)
    Canada 21212 (any)
    United Kingdom 86444 Vodafone, Orange, 3, O2
    Brazil 40404 Nextel, TIM
    Haiti 40404 Digicel, Voila
    Ireland 51210 Vodafone, O2
    India 53000 Bharti Airtel, Videocon, Reliance
    Indonesia 89887 AXIS, 3, Telkomsel, Indosat, XL Axiata
    Italy 4880804 Wind
    3424486444 Vodafone
    » See SMS short codes for other countries

    Confirmation

     

    Welcome home!

    This timeline is where you’ll spend most of your time, getting instant updates about what matters to you.

    Tweets not working for you?

    Hover over the profile pic and click the Following button to unfollow any account.

    Say a lot with a little

    When you see a Tweet you love, tap the heart — it lets the person who wrote it know you shared the love.

    Spread the word

    The fastest way to share someone else’s Tweet with your followers is with a Retweet. Tap the icon to send it instantly.

    Join the conversation

    Add your thoughts about any Tweet with a Reply. Find a topic you’re passionate about, and jump right in.

    Learn the latest

    Get instant insight into what people are talking about now.

    Get more of what you love

    Follow more accounts to get instant updates about topics you care about.

    Find what's happening

    See the latest conversations about any topic instantly.

    Never miss a Moment

    Catch up instantly on the best stories happening as they unfold.

    1. Dave Richeson‏ @divbyzero 13 Nov 2018
      • Report Tweet
      • Report NetzDG Violation

      I have a couple of strong undergraduate students who want to learn differential topology as an independent study with me (they already had a semester of topology). Textbook recommendations? I used Guilleman and Pollack (+ Milnor's book) when I was a student.

      9 replies 0 retweets 14 likes
    2. Laurens Gunnarsen‏ @MathPrinceps 13 Nov 2018
      • Report Tweet
      • Report NetzDG Violation
      Replying to @divbyzero

      Do they already know at least some combinatorial topology? If not, then I would strongly suggest supplementing Guillemin & Pollack with Henle's book, which (Hallelujah!) is available in Dover paperback (and is a masterpiece.) Maybe also consider using Bishop & Goldberg?

      1 reply 1 retweet 2 likes
      Laurens Gunnarsen‏ @MathPrinceps 13 Nov 2018
      • Report Tweet
      • Report NetzDG Violation
      Replying to @MathPrinceps @divbyzero

      It really boils down to whether you want to try to introduce them to the idea of a manifold, as a collection of (compatible) charts. If they're already used to thinking of topological spaces as a collection of (adjacent) simplices, then that may be a good pedagogical investment.

      2:50 PM - 13 Nov 2018
      • 1 Like
      • Dave Richeson
      2 replies 0 retweets 1 like
        1. New conversation
        2. Dave Richeson‏ @divbyzero 13 Nov 2018
          • Report Tweet
          • Report NetzDG Violation
          Replying to @MathPrinceps

          Thank you!

          1 reply 0 retweets 1 like
        3. Laurens Gunnarsen‏ @MathPrinceps 13 Nov 2018
          • Report Tweet
          • Report NetzDG Violation
          Replying to @divbyzero

          Oh, of course, Professor Richeson. Thank you for your excellent efforts to convey the substance of serious mathematical ideas to a general readership, for this is crucial work that is, alas, seldom done, and even more seldom done well. We are all in your debt.

          1 reply 0 retweets 0 likes
        4. 1 more reply
        1. Laurens Gunnarsen‏ @MathPrinceps 13 Nov 2018
          • Report Tweet
          • Report NetzDG Violation
          Replying to @MathPrinceps @divbyzero

          Guillemin & Pollack, as well as Milnor, try to skirt the issue of saying what a manifold is by speaking only of submanifolds of R^n. Seems like a shrewd strategy, and in a sense it "works." But it's wildly ahistorical, and separates the subject from its most natural applications.

          0 replies 0 retweets 1 like
          Thanks. Twitter will use this to make your timeline better. Undo
          Undo

      Loading seems to be taking a while.

      Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.

        Promoted Tweet

        false

        • © 2020 Twitter
        • About
        • Help Center
        • Terms
        • Privacy policy
        • Imprint
        • Cookies
        • Ads info