Anthony Scaramucci joins the Trump administration, Trevor bids farewell to former White House Press Secretary Sean Spicer, and French Montana discusses "Jungle Rules."
Loved the Profiles in Tremendousness! Sad that I’m so far behind on episodes that when I’m watching the episode introducing “The Mooch” is the same day that he’s fired from The Apprentice: White House Edition.
Recent studies of active matter have stimulated interest in the driven self-assembly of complex structures. Phenomenological modeling of particular examples has yielded insight, but general thermodynamic principles unifying the rich diversity of behaviors observed have been elusive. Here, we study the stochastic search of a toy chemical space by a collection of reacting Brownian particles subject to periodic forcing. We observe the emergence of an adaptive resonance in the system matched to the drive frequency, and show that the increased work absorption by these resonant structures is key to their stabilization. Our findings are consistent with a recently proposed thermodynamic mechanism for far-from-equilibrium self-organization.
A qualitatively more diverse range of possible behaviors emerge in many-particle systems once external drives are allowed to push the system far from equilibrium; nonetheless, general thermodynamic principles governing nonequilibrium pattern formation and self-assembly have remained elusive, despite intense interest from researchers across disciplines. Here, we use the example of a randomly wired driven chemical reaction network to identify a key thermodynamic feature of a complex, driven system that characterizes the “specialness” of its dynamical attractor behavior. We show that the network’s fixed points are biased toward the extremization of external forcing, causing them to become kinetically stabilized in rare corners of chemical space that are either atypically weakly or strongly coupled to external environmental drives.
A chemical mixture that continually absorbs work from its environment may exhibit steady-state chemical concentrations that deviate from their equilibrium values. Such behavior is particularly interesting in a scenario where the environmental work sources are relatively difficult to access, so that only the proper orchestration of many distinct catalytic actors can power the dissipative flux required to maintain a stable, far-from-equilibrium steady state. In this article, we study the dynamics of an in silico chemical network with random connectivity in an environment that makes strong thermodynamic forcing available only to rare combinations of chemical concentrations. We find that the long-time dynamics of such systems are biased toward states that exhibit a fine-tuned extremization of environmental forcing.
Whether you're starting a blog, building your personal brand, posting a resume, promoting a hobby, writing a personal journal, creating an online commonplace book, sharing photos or content with friends, family, or colleagues, writing reviews, sharing recipes, podcasting, or any one of the thousand other things people do online it all starts with having a presence and an identity online.
I remember some of the difficulties I had in understanding, comprehending, and coming to grasp with the overall concept of the IndieWeb. Then I contended with strategies for navigating my way through the wiki and deciding in what order to do things and finding my way into the rich and diverse community of help and additional resources.
I’ve written an introduction–aimed at beginners (and non-developers)–on AltPlatform.org that I hope might help out others who are thinking about or starting their own journey.
There's a better way to own and control your online identity
Whether you’re starting a blog, building your personal brand, posting a resume, promoting a hobby, writing a personal journal, creating an online commonplace book, sharing photos or content with friends, family, or colleagues, writing reviews, sharing recipes, podcasting, or any one of the thousand other things people do online it all starts with having a presence and an identity online.
The seemingly difficult task these days is deciding where that should be. There’s Twitter for sharing short updates and bookmarks to articles; Instagram, Snapchat, Flickr, and YouTube for photos and videos; Facebook for communicating with family and friends; LinkedIn for work and career related posts; Swarm for sharing your location; and literally thousands of others for nearly every micro-slice of content one could think of.
Can you possibly be on them all? Should you? Would you want to be? Could you keep up with it? Which one really and truly represents the real you? Could any of them?
And what about your friends, family, and potential audience for all of these things? Some will be on Twitter while others only use Facebook. Grandma is worried about privacy and is only on Instagram to see photos of the grandchildren. Mom is on Facebook because she thinks that’s what the internet is, and wants to like everything her children post. Teenagers don’t want to be on any platforms their parents have heard of. It’s obvious that everyone has their own preferences and favorites.
In short, the web and using it for easy communication has become fraught with fragmentation and walls that often make communicating online far more difficult than it should be. Wouldn’t it be better if you had a single website that represented you online and through which you could easily communicate with everyone?
By analogy consider the telephone system which, just like the internet, consists of wires and hardware to access the network. Every user on the network has their own phone and phone number. What would it be like if AT&T users could only speak to other AT&T users and needed another separate phone, account, and phone number to speak to friends and family on Verizon and yet another to talk to friends on Sprint? To a great extent, this is what the internet has evolved to become with monopolistic, for-profit, corporate services like Facebook/Instagram, Twitter, LinkedIn, and all the rest.
Is there a better and more robust solution than these multitudes of social media sites which all come with their own onerous terms of service, limitations on your creativity, reach, ownership, and control of your online identity?
A growing number of people on the web are sure there is and they’re working together in an open yet coordinated way to improve the democratized nature of the decentralized internet. This movement is known as the IndieWeb.
Purpose of IndieWeb
The purpose of the IndieWeb movement is to help put you in control of your web presence, allow you a more true sense of ownership of your content, and to allow you to be better connected to your friends, family, colleagues, and communities. By first owning your own domain name and having your own personal website, the IndieWeb aims to help facilitate the following:
You are in Control
You can post anything you want, in any format you want, with no one monitoring you. In addition, you share simple readable links such as http://www.example.com/ideas. These links are permanent and will always work.
Control and Freedom
You should be able to exercise your freedom of speech and publish anything you want whenever you want. You should be able to set your own rules and own limits. You should be able to post content as long or short as you like with no pre-imposed limits or types whether it be text, photos, audio, or video. You should be able to have control over comments and protection against potential harassment, bullying, and online trolls.
Identity & Identity loss
Almost every social media site has a multi-page statement of their terms of service written in complicated legalese. More often that not, these terms are to protect them and not you. As a result people have found their accounts frozen, they’ve been shut out with no notice or warning, their identities have been reassigned, or their content simply disappears with little or even no notice. Often there is either no method of recourse, or it is difficult to communicate with these corporations and may take weeks or worse to recover one’s account and data, if at all.
Without care, one can become branded with the identity of the social media network of which they’re a part. If trolls overrun your social service then suddenly by association, you’ve become one too.
User Interface/User EXperience
You should have the ability to control how your site looks and works. Do you want a piece of functionality that one of your social network sites doesn’t have? Add it the way you want it. Create better navigation, better interactivity, better design to reflect your own identity instead of a corporation’s cookie-cutter idea of your identity. Since your data is yours you can add new and interesting pieces of functionality using that data instead of waiting on a social site to think about it and implement it for you. Chances are that unless millions will find it valuable or a company doesn’t think it will scale, most won’t build it, so don’t hold your breath.
Your content is yours
When you post something on the web, it should belong to you, not a corporation. Too many companies have gone out of business and lost all of their users’ data. By joining the IndieWeb, your content stays yours and in your control.
Greater reliability and protection against content loss
Social media is only about 11 years old, and one thing is certainly true: sites will go out of business, they will get acquired, they can and willdisappear. When this happens, your data can disappear overnight without the ability to back it up or export it. A new corporation can take over and change the terms of service and do things with your data that you never intended. Content can accidentally or even willfully disappear without notice to you. In addition to the data, you can also lose contact with family, friends, and community members that also disappear without the service that connected you to them.
You can have greater control of site downtimes, server outages, maintenance, scalability issues, and database failures of silos attempting to solve massive scaling/engineering problems.
A better sense of ownership
Many in the IndieWeb community have found that they post more interesting and thoughtful pieces of content when they’re doing it on their own site rather than the “throw away” content they used to post to sites like Twitter. They feel a greater sense of responsibility and ownership in what they’re posting about and this can have a profound effect on the future of the internet and its level of civility.
When you own your own website, other web sites see that it’s you personally sending traffic to their sites instead of a generic social site. You have the ability to edit content at any time or delete it if you like.
You also have:
greater choice of public vs. private posts and control of who your audience is;
the ability to fix URL links when they break or disappear;
no outside advertising on your site without your explicit permission;
no one monetizing you;
no censorship of your content;
no terms of service which can often co-op your work without notice for advertising or other use;
ownership and control of affiliate links to monetize your work if you choose.
You are better connected
Your articles and status messages can go to all services, not just one, allowing you to engage with everyone regardless of their choice of platform. Even replies and likes on other services can come back to your site so they’re all in one place.
Since your content isn’t hidden behind the robots.txt of a silo service, you have much better search engine rankings and are more likely to be found, read, or have people interact with your content. If you choose, you can still syndicate your content to one or more social silos while still owning your content in the case that something happens to those silos. This allows you to continue to reach your friends, family, colleagues, and community who may have different ideas about where they prefer to interact online. Comments to and interactions with your content can come back to your original post to create a comprehensive conversation rather than have your conversation disjointed and spread over dozens of sites throughout the web.
How to be a part of the IndieWeb
Now that you’ve got a bit of an idea about what the IndieWeb movement is attempting to help people accomplish, how can you become a part of it and enjoy the benefits for yourself?
Own and use your own domain name
Fifteen or more years ago having your own domain wasn’t as easy or as inexpensive as it is now. There are hundreds and hundreds of domain registrars around the world that can register almost any domain name you can come up with for as little as 99 cents a year with the average closer to the $10-20 range depending on the name and the top level domain (.com, .org, .net, and .edu are examples of top level domains.)
For an extra $0-10 a month you can quickly purchase domain hosting so that when someone visits your fancy URL, it actually connects to a page on the internet. Whether that page is a single page of simple HTML with a line of text and a photo; a plug and play site like Wix or SquareSpace; a full blown professional open source content management system like WordPress or Drupal; a web site you build by hand using your own code; or it points to your Facebook or Twitter account page, you’ve just made a huge step toward better cementing your identity on the internet.
Once you own your own domain name, everything you post to the web will have a permalink URL which you can control. If you wish to change platforms or service providers you can relatively easily move all of your content and the permalinks along with it–much the same way you can move your cell phone number from one provider to another. People who visit your URLs will always be able to find you and your content.
If nothing else, owning your own domain name will give you something useful to put into the ubiquitous field labeled “your website” that exists on literally every social media website out there. (Even they are subtly telling you that you should have your own domain name.)
Added bonus: even most inexpensive domain registrars and hosting services will give you free email for your domain so you can create a custom branded personal email address like email@example.com. Even if you rely on G-mail or some other third party service for your email, it’s pretty easy to connect your own personal email address to your pre-existing account. It’ll make you look a lot more professional and will be far easier for your friends, family, and business colleagues to remember.
So you own your domain now?! Congratulations, you are officially a full-fledged member of the IndieWeb!
Own your data
Wait, it can’t be that simple can it? It is! But now that you’ve got your own website, it’s time to start using it to own your online identity and own your own content.
Next you may want to choose a content management system (CMS) in which to store and present your data. The IndieWeb has lists of projects which range from common services as simple as Tumblr and WordPress.com (both managed services with free hosting) to help in building your own site from the ground up in your programming language of choice. Which project you choose depends on your needs, desires for the future, and your abilities. There is something available for people of nearly every level of ability. Most domain registrars and internet host providers provide one or more means to quickly get up and running–just ask their customer service departments or see what they’ve got available online.
Most of these CMS solutions will give people a far bigger range of flexibility in terms of what they can write, record, and broadcast online. You don’t need to be limited to 140 characters if you choose not to be. Want to post more multi-media-based content with text, video, audio, and photos all at once? The online world can be your oyster and your social media platform no longer limits what is possible.
Ideally, what a lot of the IndieWeb developer community is rapidly building and iterating upon is an open and broadly distributeable way to make it easier for the everyday person to more easily own and operate all the functionality offered by the hundreds of social media websites without a lot of heavy and difficult-to-maintain overhead. A decade ago allowing Facebook to do everything for you may have been a simple “way out”, but now there are far more robust, diverse, and flexible solutions that aren’t as onerous. There are also newer open and easily supportable web protocols that make publishing and sharing your content far easier than before.
The first big piece most people enjoy implementing is writing their own content on their own site and syndicating it out to other services on the internet if they choose. Continuing to participate in your old siloed networks can help you stay connected to your pre-existing social networks, so you’re not leaving all your friends and family behind. Next, having all your replies/comments, likes, and other interactions come back from social silos to your own site as comments along with notifications is incredibly valuable. (These two processes are commonly known as Post On your Own Site, Syndicate Elsewhere (POSSE) and backfeed, and they can typically be done most easily with a free service like Brid.gy.)
Being able to write replies to articles or status updates on your own website and either @mentioning others as a means of notifying them is also very useful. The IndieWeb calls this universal implementation of @mentions that work across website boundaries Webmention and it’s built on an open and straightforward standard so that it can work with any website on the internet. (Remember the telephone analogy above? Now, thanks to Webmentions, everyone can be communicating on the same network.) As an example, imagine for a moment if you could @mention someone on Facebook from Twitter or vice-versa?! What if you could post a reply to a tweet on Twitter with your Facebook account?Using the Webmention spec, independent websites can easily do this now, though it may be quite a while before for-profit corporations support this simple protocol that is now a W3C recommendation.
With some of the basic building blocks out of the way, people tend to spread out a bit in the types of functionalities they’re looking for. It may range from posting status updates, pictures, or video to hosting your own podcast or or having different user interfaces to post to your own site–Micropub is great for this–to being able to put events on your site and allowing people to RSVP to them easily. Wouldn’t it be nice if you could post an event on your own website and people could use Facebook to RSVP to it? My site allows this possibility. Yours could too.
Everyone’s desires and needs will be different. Work on what you find most interesting and useful first (the IndieWeb calls these itches). Make a list of what you use most often on your old social media silos or wish they had and work on that first. Check out the IndieWeb wiki to see how others have implemented it–there’s no need to reinvent the wheel in darkness. Hop into the IndieWeb chat (there are multiple ways of doing this and interacting) and ask questions. Document what you’ve done in the wiki to make it easier for those who come after you.
Personally, I’ve always just thought about what functions do I use most on social sites and then ask myself how I might be able to do that on my own site. There’s little out there that hasn’t been explored by the bigger community, so searching the wiki for those types of functionality and seeing how others managed it usually makes it far easier. Chatting with folks in the community while I’m working always helps to sharpen my thinking and make me aware of ideas and methods I may have never considered much less come up with on my own.
If you never RSVP for things online or host events, then obviously don’t start there. Do you post photos regularly? Maybe you “like” everything you see online. In my case, I was a heavy user of Goodreads, so I spent parts of the last year working on more easily bookmarking things I’d like to read, posting reading status updates, and keeping notes on what I read, as well as highlights, marginalia, and book reviews after I’d finished reading.
The IndieWeb effort is different in several ways from previous efforts and communities. In particular it values principles over project-centrism. Other efforts have assumed a monoculture of one project as the ultimate solution for everyone. IndieWeb prefers developing a plurality of projects–why not have the same diversity on the web as we do in real life?
The community prefers chat in combination with a wiki to communicate and document its process. Some may prefer email distribution lists, but why? Who likes to read and respond to long email threads where information is typically locked away from the group, ignored, and simply unread? Instead, we utilize a chat (which has multiple methods of access–plurality, remember?) to host searchable conversations after which the best portions are documented on the wiki to be easily searchable and discoverable to all.
In the early days of social media, many talked, emailed and chatted about what they’d like to see. Sadly not much was done about expanding on these ideas, particularly by companies that all had their own profit-driven motives. As a result, the IndieWeb movement values showing before telling. They prioritize development by encouraging people to scratch their own itches, creating what they want to have and use on their own sites, and then iterating on those pieces to improve and refine them. If you won’t use a feature on your own site, why bother to have it?
IndieWeb puts design first and foremost. Protocols & formats come second. They’d prefer to focus on good user experience and user interaction. Users selfdogfood prototypes on their own sites to create minimum necessary formats & protocols.
Perhaps most importantly, the IndieWeb is people-focused instead of project-focused. The community is rich and diverse and has regular in-person meetups as well as camps across the world where everyone is welcome. The IndieWeb community is inclusive and has a code-of-conduct.
Join the IndieWeb Community
Where do I go from here? You said community in there. Where can I find it? How can I interact, get help, or even contribute back?
Regardless of your level of expertise, there are a huge number of resources, events, and even people available to you in a variety of formats. Whether you choose to meet with friends in person at IndieWebCamps or at regularly scheduled Homebrew Website Club meetups or interact online at a nearly continuous worldwide chat (using either web chat, Slack, Matrix, or IRC) there are many means of getting help and interacting to suit your schedule and needs to help build the personal website you’ve always wanted.
Building the indie web is a continuous process. While attending an IndieWebCamp can be an incredibly inspiring and encouraging event, we need to carry on doing so for more than just a few days a year when we can meet up in real life. We can not only support one another; we can share the best way to do things online. As we discover new ways of doing things, we can document them and share them easily with each other and the growing community.
If you’ve made it this far, I invite you to join us, and get started building the internet you’ve always wanted by building your home on the web first.
As of December 2017, the AltPlatform.org site which originally published this article has shut down. I’ve smartly kept a private archived copy of the original of this post here on my personal site and manually syndicated a copy of it to AltPlatform for just such a possibility. (Hooray for PASTA (Publish Anywhere, Save to (Private) Archive)!) As a result of the shutdown, I’m making the original public here.
Unconditional love means unconditional likes. At least, that’s how it works with Chris Aldrich’s mom, who “auto-likes” everything he posts to Facebook. Family pictures? Like! A blog post titled “A New Low in Quantum Mechanics?” Like!
Take chemistry, add energy, get life. The first tests of Jeremy England’s provocative origin-of-life hypothesis are in, and they appear to show how order can arise from nothing.
Interesting article with some great references I’ll need to delve into and read.
The situation changed in the late 1990s, when the physicists Gavin Crooks and Chris Jarzynski derived “fluctuation theorems” that can be used to quantify how much more often certain physical processes happen than reverse processes. These theorems allow researchers to study how systems evolve — even far from equilibrium.
I want to take a look at these papers as well as several about which the article is directly about.
Any claims that it has to do with biology or the origins of life, he added, are “pure and shameless speculations.”
Some truly harsh words from his former supervisor? Wow!
maybe there’s more that you can get for free
Most of what’s here in this article (and likely in the underlying papers) sounds to me to have been heavily influenced by the writings of W. Loewenstein and S. Kauffman. They’ve laid out some models/ideas that need more rigorous testing and work, and this seems like a reasonable start to the process. The “get for free” phrase itself is very S. Kauffman in my mind. I’m curious how many times it appears in his work?
Today I’m happy to announce I’ve added a discussions section to the website, directly below each article. Here you’ll be able to directly respond to what you’ve just read, share your thoughts, and have a discussion with other readers of my site. Today’s post is going to take a bit of a look inside why I’m doing this and how discussions work.
Jason your blogpost does a great job of laying out the values (and distractions) of comments on blogs and why someone would want to have them. I particularly like your choice to call this area of his personal site a “Discussion” area instead of the traditional “Comments” moniker most would give it.
While you use the oft-quoted statement (usually said in a dismissive tone in my experience):
If you want to respond, do so on your own website and tell me.
in the section espousing not allowing comments, I realize that this long-held concept of writing on your own website not only has significant value, but that the Indieweb way of replying and utilizing Webmentions (with moderation enabled if one prefers) for the notifications portion adds even more tremendous value.
Far too often, either in a blog’s comments section or even within social media, it’s all too easy to post an ill-conceived or hurtful drive-by response. It takes little time and thought to say “me too”, “I hate you”, “insert slur here”, or even click an innocuous “like” button many which do nothing for the conversation or discussion being proffered by the site owner. Worse, a very small portion of the world will see that a reader took these actions because they don’t really reflect heavily, if at all, within the reader’s own online presence–who searches for comments others have made online? How would you easily? It’s usually in these interactions that only the writer who spent some significant time trying to communicate can be crushed by overwhelming negativity rather than being showered with the intelligence, logic, or forethought they deserve for putting themselves out there, much less receiving praise for their work. It’s no wonder that people prefer to turn off comments.
Earlier this evening as I was reviewing the online discussion from the San Francisco Homebrew Website Club, I saw a comment from bdesham captured by Tantek Çelik, “I heard not having comments on Tumblr was a deliberate design, to avoid abuse, so to comment you have to reblog?” I recall having an HWC at Yahoo’s LA headquarters and hearing from someone within Yahoo that indeed this was exactly the reason that drove this piece of UX/UI. If you wanted to comment on Tumblr, you had to repost the content to your own front page along with the comment. This meant that you had to take true ownership of your words as they appeared front and center on your own site there. Who wants to publicly mark themselves with a proverbial Scarlet Letter just to be mean? (Some will, but increasingly many won’t because it redounds directly to their reputation.) Perhaps this is why some of the most marginalized people on the internet heavily use Tumblr and feel safe within their communities there?
As some will know, for the past few years I’ve been using the W3C’s recommended Webmention specification, a sort of cross-website universal @mention or @reply, which I’ve implemented on WordPress with the Webmention plugin and a few others, to accept replies/comments and other associated interactions on my blog in addition to the traditional comments box. While the traditional comment box has largely been unused on my site–making it often feel in the early days like I was “spewing words out into the void” as Jason describes–the Webmention piece seems to have made a far larger difference to me.
The majority of the interaction my site receives comes via Webmentions from Brid.gy in the form of short one-offs or simple “likes” which are backfed from Facebook, Twitter, or Google+. However a growing number of interactions are actually interesting and more substantive discussions. It’s these more “traditional” replies via Webmention that have the most value to me. They are better thought out replies and helpful commentary, which almost always appear front and center on the commenter’s own site (much the way Tumblr designed theirs) before they ever appear on my site as a comment. As Jason astutely points out, having comments that are longer than 140 characters can be very valuable as well; since my commenters are posting on their own sites where they have ultimate freedom, most of them aren’t constrained in any way except perhaps for the amount of time they wish to take.
So here you are Jason, I’ve commented by posting on my own site first and notifying you by manually copying it to your discussion section where others can participate as well. (If you supported receiving Webmentions, the interaction would be automatic and nearly seamless.) I’m curious if you’d consider implementing the Webmention spec (both sending and receiving) on your website and if you think it would have the same intended effect you mean when you enabled “Discussions” on yours?–I know it feels like it has on mine.
If you care to reply back, feel free to reply on your own site, include a permalink to my original and use the manual Webmention form (below the traditional comment box) and click “Ping Me!” Of course, if you’re old school, feel free to dust off the old comment box and give that a whirl too!
Some additional miscellaneous thoughts, highlights, and short comments on Jason’s post:
Comments sections often become shouting matches or spam-riddled.
They can also become filled with “me too” type of commentary which more than often doesn’t add anything substantive to the conversation.
One of my all-time favorite comment moderation notes comes from the FAQ section of Peter Woit’s blog under “Why Did you Delete my comment?” He writes:
I delete a lot of the comments submitted here. For some postings, the majority of submitted comments get deleted. I don’t delete comments because the commenter disagrees with me, actually comments agreeing with me are deleted far more often than ones that disagree with me. The overall goal is to try and maintain a comment section worth reading, so comments should ideally be well-informed and tell us something true that we didn’t already know. The most common reason for deleting a comment is that it’s off-topic. Often people are inspired by something in a posting to start discussing something else that interests them and that they feel is likely to interest others here. Unfortunately I have neither the time nor inclination to take on the thankless job of running a general discussion forum here.
I hope my thoughts pass the Woit-comment-test for Jason.
For a website the size and popularity of Daring Fireball, it’d probably be madness to foster any kind of coherent conversation.
Certainly to do it without a staff would be difficult… Again here, Audrey Watter’s post about turning off comments indicates to some extent that even though she views her site as her personal blog, it’s audience, like that of Daring Fireball, has gotten so large that it’s not just friends, family, and community, but something beyond “community” (beyond the pale) that changes the dynamic of accepting comments.
I never felt like I was talking with anyone or anyone’s website, but more like I was spewing words out into the void.
I often feel this way, but supporting Webmentions and backfeed has largely negated these feelings for me in the last few years. I can now communicate directly with websites (and their authors) that support these open protocols.
It has the added benefit of making one-word smart-ass posts impossible.
I do remember the days of old, when people would comment “First!”, but beyond that #OneWordSmartAss is usually overrated unless you’re a professional comedian like Jon Stewart.
Algebraic geometry is the study, using algebraic tools, of geometric objects defined as the solution sets to systems of polynomial equations in several variables. This introductory course, the first in a two-quarter sequence, develops the basic theory of the subject, beginning with seminal theorems—the Hilbert Basis Theorem and Hilbert’s Nullstellensatz—that establish the dual relationship between so-called varieties—both affine and projective—and certain ideals of the polynomial ring in some number of variables. Topics covered in this first quarter include: algebraic sets, projective spaces, Zariski topology, coordinate rings, the Grassmannian, irreducibility and dimension, morphisms, sheaves, and prevarieties. The theoretical discussion will be supported by a large number of examples and exercises. The course should appeal to those with an interest in gaining a deeper understanding of the mathematical interplay among algebra, geometry, and topology.
Some exposure to advanced mathematical methods, particularly those pertaining to ring theory, fields extensions, and point-set topology.
Yes math fans, as previously hinted at in prior conversations, we’ll be taking a deep dive into the overlap of algebra and geometry. Be sure to line up expeditiously as registration for the class won’t happen until July 31, 2017.
While it’s not yet confirmed, some sources have indicated that this may be the first part of a two quarter sequence on the topic. As soon as we have more details, we’ll post them here first. As of this writing, there is no officially announced textbook for the course, but we’ve got some initial guesses and the best are as follows (roughly in decreasing order):
Most of his classes range from about 20-30 people, many of them lifelong regulars. (Yes, there are dozens of people like me who will take almost everything he teaches–he’s that good. This class, my 22nd, will be the start of my second decade of math with him.)