corpus.blog
56,966 blogs · [ { "id": "01a087a1-6ad3-7192-997b-8c79e8ec262a", "title": "October 2025: Final prepublication pdf (and appearance of the book)", "url": "https://math216.wordpress.com/2025/10/26/october-2025-final-prepublication-pdf-and-appearance-of-the-book/", "published_at": "2025-10-27T01:54:20+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79e9db1233", "title": "September 2025: Book about to appear", "url": "https://math216.wordpress.com/2025/09/10/september-2025-book-about-to-appear/", "published_at": "2025-09-11T00:54:51+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79eabb9582", "title": "September 2024 version (last version probably of the year)", "url": "https://math216.wordpress.com/2024/09/11/september-2024-version-last-version-probably-of-the-year/", "published_at": "2024-09-12T03:54:34+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79eb5f019e", "title": "July 2024 version (going to Princeton University Press)", "url": "https://math216.wordpress.com/2024/07/27/july-2024-version-going-to-princeton-university-press/", "published_at": "2024-07-27T15:47:29+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79eb9d1266", "title": "Burt Totaro’s elementary proof that a hypersurface is normal if it is regular in codimension 1", "url": "https://math216.wordpress.com/2024/07/14/burt-totaros-elementary-proof-that-a-hypersurface-is-normal-if-it-is-regular-in-codimension-1/", "published_at": "2024-07-14T19:28:54+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79ec43e287", "title": "Late February 2024 version", "url": "https://math216.wordpress.com/2024/02/26/late-february-2024-version/", "published_at": "2024-02-26T15:05:13+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79ed34021d", "title": "February 2024 version: content now complete, including index", "url": "https://math216.wordpress.com/2024/02/06/february-2024-version-content-now-complete-including-index/", "published_at": "2024-02-06T20:15:57+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79ed6f63da", "title": "July 2023 version: content now complete, including index", "url": "https://math216.wordpress.com/2023/07/31/july-2023-version-content-now-complete-including-index/", "published_at": "2023-07-31T21:14:52+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79ee0e1494", "title": "June 2023 version: potentially finalized content", "url": "https://math216.wordpress.com/2023/07/01/june-2023-version-potentially-finalized-content/", "published_at": "2023-07-01T16:28:01+00:00" }, { "id": "01a087a1-6ad3-7192-997b-8c79ee7ad648", "title": "April 2023 version of the notes", "url": "https://math216.wordpress.com/2023/04/02/april-2023-version-of-the-notes/", "published_at": "2023-04-02T23:08:14+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b1455c11611", "title": "(i) reference question (pathological non-Noetherian examples), and (ii) the Jordan-Holder package", "url": "https://math216.wordpress.com/2023/03/11/i-reference-question-pathological-non-noetherian-examples-and-ii-the-jordan-holder-package/", "published_at": "2023-03-11T20:48:02+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b1456bc7d40", "title": "December 2022 version of the notes", "url": "https://math216.wordpress.com/2023/01/01/december-2022-version-of-the-notes/", "published_at": "2023-01-01T19:19:55+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b14578911bf", "title": "August 2022 version of the notes", "url": "https://math216.wordpress.com/2022/09/02/august-2022-version-of-the-notes/", "published_at": "2022-09-02T17:41:12+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b145811a64a", "title": "A fun example from Daniel Litt: slightly unusual behavior of infinite rank vector bundles", "url": "https://math216.wordpress.com/2022/08/04/a-fun-example-from-daniel-litt-slightly-unusual-behavior-of-infinite-rank-vector-bundles/", "published_at": "2022-08-04T14:47:53+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b1458a40a15", "title": "Cohomology and base change: new exposition", "url": "https://math216.wordpress.com/2022/07/19/cohomology-and-base-change-new-exposition/", "published_at": "2022-07-20T04:01:42+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b145972cdb2", "title": "An introduction to associated points (and associated primes): new exposition", "url": "https://math216.wordpress.com/2022/07/19/in-introduction-to-associated-points-and-associated-primes-new-exposition/", "published_at": "2022-07-20T03:49:12+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b145a43c1da", "title": "Eric Larson’s proof of the Cohomology and Base Change Theorem (and Grauert’s Theorem)", "url": "https://math216.wordpress.com/2022/04/14/eric-larsons-proof-of-the-cohomology-and-base-change-theorem-and-grauerts-theorem/", "published_at": "2022-04-14T23:33:51+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b145a6819d1", "title": "spectral sequences are not scary", "url": "https://math216.wordpress.com/2022/03/25/spectral-sequences-are-not-scary/", "published_at": "2022-03-25T15:07:36+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b145b1e2899", "title": "the Kunneth formula for quasicoherent sheaves on varieties", "url": "https://math216.wordpress.com/2021/07/24/the-kunneth-formula-for-quasicoherent-sheaves-on-varieties/", "published_at": "2021-07-24T22:25:06+00:00" }, { "id": "01a0bb53-fec2-70d8-a37f-6b145b68c033", "title": "announcement: Jarod Alper on stacks", "url": "https://math216.wordpress.com/2021/01/02/announcement-jarod-alper-on-stacks/", "published_at": "2021-01-02T21:26:17+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b904cc8c8", "title": "Fun example from Nikolas Kuhn: simplest (?) example of an affine open subset of an affine scheme that is not a principal/distinguished open subset", "url": "https://math216.wordpress.com/2020/11/25/fun-example-from-nikolas-kuhn-simplest-example-of-an-affine-open-subset-of-an-affine-scheme-that-is-not-a-principal-distinguished-open-subset/", "published_at": "2020-11-25T16:55:33+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b91074f80", "title": "Principal open sets vs. distinguished open sets", "url": "https://math216.wordpress.com/2020/11/25/principal-open-sets-vs-distinguished-open-sets/", "published_at": "2020-11-25T16:43:44+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b91c49b51", "title": "Pseudolecture 13 postponed to October 3", "url": "https://math216.wordpress.com/2020/09/19/pseudolecture-13-postponed-to-october-3/", "published_at": "2020-09-19T14:35:44+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b91d89517", "title": "Fibered products: more thoughts between pseudolectures 11 and 12", "url": "https://math216.wordpress.com/2020/09/09/fibered-products-more-thoughts-between-pseudolectures-11-and-12/", "published_at": "2020-09-09T18:46:00+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b91da886c", "title": "Between pseudolectures 11 and 12", "url": "https://math216.wordpress.com/2020/09/08/between-pseudolectures-11-and-12/", "published_at": "2020-09-08T20:10:58+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b920c473b", "title": "Problems to think about (up to pseudolecture 9)", "url": "https://math216.wordpress.com/2020/08/27/problems-to-think-about-up-to-pseudolecture-9/", "published_at": "2020-08-28T02:34:55+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b92362e25", "title": "After pseudolecture 9", "url": "https://math216.wordpress.com/2020/08/23/after-pseudolecture-9/", "published_at": "2020-08-24T05:00:27+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b9291d860", "title": "Between pseudolectures 6 and 7", "url": "https://math216.wordpress.com/2020/08/04/between-pseudolectures-6-and-7/", "published_at": "2020-08-05T02:27:36+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b9353f23f", "title": "Between pseudolectures 5 and 6", "url": "https://math216.wordpress.com/2020/07/25/between-pseudolectures-5-and-6/", "published_at": "2020-07-26T04:41:26+00:00" }, { "id": "01a0bb5a-3dc4-703c-8d45-647b93798841", "title": "Pseudolecture 5 tomorrow", "url": "https://math216.wordpress.com/2020/07/24/pseudolecture-5-tomorrow/", "published_at": "2020-07-25T01:22:54+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a28415c5c", "title": "Groups, groupoids, and stacks", "url": "https://math216.wordpress.com/2020/07/23/groups-groupoids-and-stacks/", "published_at": "2020-07-24T04:34:27+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a288b536d", "title": "After the fourth pseudolecture", "url": "https://math216.wordpress.com/2020/07/18/after-the-fourth-pseudolecture/", "published_at": "2020-07-19T01:23:46+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a28d87d33", "title": "Reading and problems after the third pseudolecture", "url": "https://math216.wordpress.com/2020/07/13/reading-and-problems-after-the-third-pseudolecture/", "published_at": "2020-07-14T05:22:00+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a2989a809", "title": "Pseudolecture 3 starting shortly", "url": "https://math216.wordpress.com/2020/07/11/pseudolecture-3-starting-shortly/", "published_at": "2020-07-11T14:53:48+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a29b096c0", "title": "Readings and problem set for after the second pseudolecture", "url": "https://math216.wordpress.com/2020/07/06/readings-and-problem-set-for-after-the-second-pseudolecture/", "published_at": "2020-07-06T18:52:16+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a29c01fc9", "title": "Plan for tomorrow (the second pseudolecture)", "url": "https://math216.wordpress.com/2020/07/03/plan-for-tomorrow-the-second-pseudolecture/", "published_at": "2020-07-03T18:12:15+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a2a2a46f2", "title": "Getting ready for the second pseudolecture", "url": "https://math216.wordpress.com/2020/07/01/getting-ready-for-the-second-pseudolecture/", "published_at": "2020-07-01T18:02:05+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a2ad431cd", "title": "Discussion for this week (starting June 27 2020)", "url": "https://math216.wordpress.com/2020/06/27/discussion-for-this-week-starting-june-27-2020/", "published_at": "2020-06-28T00:07:40+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a2b6293e4", "title": "Post mortem on first pseudolecture: non-mathematics", "url": "https://math216.wordpress.com/2020/06/27/post-mortem-on-first-pseudolecture-non-mathematics/", "published_at": "2020-06-27T23:31:20+00:00" }, { "id": "01a0bb62-50cb-736b-9fff-733a2c4aa541", "title": "How to take part in tomorrow’s pseudolecture (take two)", "url": "https://math216.wordpress.com/2020/06/26/how-to-take-part-in-tomorrows-pseudolecture-take-two/", "published_at": "2020-06-27T05:57:38+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd98f62dd7", "title": "How to take part in tomorrow’s pseudolecture (take one)", "url": "https://math216.wordpress.com/2020/06/26/how-to-take-part-in-tomorrows-pseudolecture-take-one/", "published_at": "2020-06-26T18:04:11+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd999c1bce", "title": "brief update", "url": "https://math216.wordpress.com/2020/06/24/brief-update/", "published_at": "2020-06-25T06:02:58+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd9a04b341", "title": "Zulip fully live; infrastructure mostly set up", "url": "https://math216.wordpress.com/2020/06/21/zulip-fully-live-infrastructure-mostly-set-up/", "published_at": "2020-06-22T05:09:28+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd9af07141", "title": "Groups and groupoids set up now", "url": "https://math216.wordpress.com/2020/06/19/groups-and-groupoids-set-up-now/", "published_at": "2020-06-20T00:17:31+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd9af95439", "title": "Groups and groupoids, Zulip and discord (and first lecture one week later again)", "url": "https://math216.wordpress.com/2020/06/18/groups-and-groupoids-zulip-and-discord-and-first-lecture-one-week-later-again/", "published_at": "2020-06-19T00:50:53+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd9b1913d4", "title": "late Monday June 15", "url": "https://math216.wordpress.com/2020/06/16/late-monday-june-15/", "published_at": "2020-06-16T09:15:33+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd9b6afb5e", "title": "recent post accidentally not pinned", "url": "https://math216.wordpress.com/2020/06/10/recent-post-accidentally-not-pinned/", "published_at": "2020-06-10T21:52:06+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd9bd24a39", "title": "Tuesday June 9 evening", "url": "https://math216.wordpress.com/2020/06/10/tuesday-june-9-evening/", "published_at": "2020-06-10T08:05:47+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd9c40d268", "title": "(action required) questionnaire to make groups; and “follow” rather than “email”", "url": "https://math216.wordpress.com/2020/06/07/quick-agittoc-questionnaire-to-make-groups-and-follow-rather-than-email/", "published_at": "2020-06-08T06:00:33+00:00" }, { "id": "01a0bb68-7c70-70b9-aad9-8efd9c4ea042", "title": "sign-up form for AGITTOC", "url": "https://math216.wordpress.com/2020/06/06/sign-up-form-for-agittoc/", "published_at": "2020-06-06T23:57:06+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd1e40ab7d", "title": "Thursday night update (June 4)", "url": "https://math216.wordpress.com/2020/06/05/thursday-night-update-june-4/", "published_at": "2020-06-05T07:54:33+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd1e5c24cd", "title": "Friday night update", "url": "https://math216.wordpress.com/2020/05/29/friday-night-update/", "published_at": "2020-05-30T00:25:40+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd1e8e8f67", "title": "More, on a Saturday night", "url": "https://math216.wordpress.com/2020/05/23/more-on-a-saturday-night/", "published_at": "2020-05-24T02:49:21+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd1f88704d", "title": "Some thoughts as I continue to read through registrations", "url": "https://math216.wordpress.com/2020/05/20/some-thoughts-as-i-continue-to-read-through-registrations/", "published_at": "2020-05-21T04:19:27+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd1fc86958", "title": "Further update", "url": "https://math216.wordpress.com/2020/05/18/further-update/", "published_at": "2020-05-19T04:11:55+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd20ba49df", "title": "Update on AGITTOC “registration” survey", "url": "https://math216.wordpress.com/2020/05/16/update-on-registration-survey/", "published_at": "2020-05-17T04:44:41+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd20bc0c40", "title": "Algebraic Geometry in the Time of COVID: launch", "url": "https://math216.wordpress.com/2020/05/10/algebraic-geometry-in-the-time-of-covid-launch/", "published_at": "2020-05-10T22:43:04+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd212f8dd8", "title": "online course: update", "url": "https://math216.wordpress.com/2020/05/02/online-course-update/", "published_at": "2020-05-03T05:03:40+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd217693bd", "title": "Foundations Of Algebraic Geometry online “course” 2020", "url": "https://math216.wordpress.com/2020/04/19/foundations-of-algebraic-geometry-online-course-2020/", "published_at": "2020-04-19T19:37:03+00:00" }, { "id": "01a0bb6c-bbb6-7074-9de4-f1bd21d2111a", "title": "November 2017 version", "url": "https://math216.wordpress.com/2017/11/21/november-2017-version/", "published_at": "2017-11-22T00:05:34+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f12d738a9f", "title": "pointer to 2017-2018 course", "url": "https://math216.wordpress.com/2017/10/07/2017-2018-course/", "published_at": "2017-10-07T16:13:07+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f12d7fe21b", "title": "June 2017 version", "url": "https://math216.wordpress.com/2017/06/10/june-2017-version/", "published_at": "2017-06-11T00:49:34+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f12d94864c", "title": "February 2017 version", "url": "https://math216.wordpress.com/2017/02/07/february-2017-version/", "published_at": "2017-02-08T04:15:22+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f12e39f410", "title": "December 2015 version", "url": "https://math216.wordpress.com/2016/01/01/december-2015-version/", "published_at": "2016-01-01T21:41:25+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f12e5e5d5d", "title": "November 2015 version", "url": "https://math216.wordpress.com/2015/11/29/november-2015-version/", "published_at": "2015-11-29T15:42:07+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f12f521847", "title": "October 2015 version", "url": "https://math216.wordpress.com/2015/10/30/october-2015-version/", "published_at": "2015-10-30T17:28:24+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f12f64eb00", "title": "Pointer to 2015-16 course", "url": "https://math216.wordpress.com/2015/09/20/pointer-to-2015-16-course/", "published_at": "2015-09-20T14:24:24+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f13019738c", "title": "September 2015 version", "url": "https://math216.wordpress.com/2015/09/20/september-2015-version/", "published_at": "2015-09-20T14:14:26+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f130a8dcee", "title": "April 2015 version", "url": "https://math216.wordpress.com/2015/04/30/april-2015-version/", "published_at": "2015-04-30T21:55:06+00:00" }, { "id": "01a0bb70-8e49-712d-8c85-f5f13158e921", "title": "January 2015 version", "url": "https://math216.wordpress.com/2015/01/29/january-2015-version/", "published_at": "2015-01-30T02:48:59+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adf93f02e8", "title": "2014 version", "url": "https://math216.wordpress.com/2014/12/30/2014-version/", "published_at": "2014-12-31T04:00:00+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfa30458d", "title": "Math 216: Foundations of algebraic geometry 2014", "url": "https://math216.wordpress.com/2014/01/05/math-216-foundations-of-algebraic-geometry-2014-2/", "published_at": "2014-01-05T23:46:38+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfaeabf2d", "title": "Another small post: a newer version", "url": "https://math216.wordpress.com/2013/06/11/small-post-another-version/", "published_at": "2013-06-11T23:58:07+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfb059e8f", "title": "Small post: new version", "url": "https://math216.wordpress.com/2013/03/25/small-post-new-version/", "published_at": "2013-03-25T22:13:46+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfbaf648b", "title": "Advice sought", "url": "https://math216.wordpress.com/2013/02/26/advice-sought/", "published_at": "2013-02-26T23:50:25+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfbe15bd7", "title": "Twenty-seventh post: drafts of remaining chapters", "url": "https://math216.wordpress.com/2013/02/19/twenty-seventh-post-drafts-of-remaining-chapters/", "published_at": "2013-02-19T22:24:09+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfbef2e1e", "title": "Twenty-sixth post: Further edits", "url": "https://math216.wordpress.com/2012/12/17/twenty-sixth-post-further-edits/", "published_at": "2012-12-17T18:44:52+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfc773562", "title": "Twenty-fifth post: Smooth and etale morphisms, redux", "url": "https://math216.wordpress.com/2012/10/10/twenty-fifth-post-smooth-and-etale-redux/", "published_at": "2012-10-10T18:12:10+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfd10a5b3", "title": "Twenty-fourth post: Smooth, etale, unramified", "url": "https://math216.wordpress.com/2012/09/25/twenty-fourth-post-smooth-etale-unramified/", "published_at": "2012-09-26T04:35:39+00:00" }, { "id": "01a0bb74-0bce-7119-a141-79adfdbc2559", "title": "Twenty-third post: Local complete intersections", "url": "https://math216.wordpress.com/2012/09/05/twenty-third-post-local-complete-intersections/", "published_at": "2012-09-05T19:20:41+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec646f7cc39f", "title": "Twenty-second post: Serre duality redux", "url": "https://math216.wordpress.com/2012/08/20/twenty-second-post-serre-duality-redux/", "published_at": "2012-08-20T20:35:13+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec646ff015e3", "title": "Twenty-first post: after winter quarter", "url": "https://math216.wordpress.com/2012/03/26/twenty-first-post-after-winter-quarter/", "published_at": "2012-03-27T04:00:21+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec6470b1a495", "title": "Twentieth post: After the fall quarter", "url": "https://math216.wordpress.com/2011/12/21/twentieth-post-revisions/", "published_at": "2011-12-21T20:50:33+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec6470cf8ad9", "title": "Associated points, redux", "url": "https://math216.wordpress.com/2011/10/30/associated-points/", "published_at": "2011-10-30T22:25:05+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec64712827ed", "title": "Nineteenth post: revisions", "url": "https://math216.wordpress.com/2011/10/05/nineteenth-post-revisions/", "published_at": "2011-10-05T21:35:47+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec64715aa95d", "title": "Math 216: Foundations of algebraic geometry 2011-12", "url": "https://math216.wordpress.com/2011/09/19/math-216-foundations-of-algebraic-geometry-2011-12/", "published_at": "2011-09-19T11:00:40+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec6471fc44bd", "title": "Eighteenth post: year’s end, year’s start", "url": "https://math216.wordpress.com/2011/09/19/eighteenth-post/", "published_at": "2011-09-19T10:00:55+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec6472dbd572", "title": "Seventeenth post: Flatness (finished), and proof of Serre duality", "url": "https://math216.wordpress.com/2011/07/21/seventeenth-post/", "published_at": "2011-07-21T10:00:39+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec64730c1a36", "title": "Sixteenth post: More flatness", "url": "https://math216.wordpress.com/2011/06/28/sixteenth-post/", "published_at": "2011-06-28T10:00:44+00:00" }, { "id": "01a0bb77-4064-703f-8e92-ec647313040b", "title": "Favorite properties of k-schemes that can be checked after base change to the algebraic closure", "url": "https://math216.wordpress.com/2011/06/13/favorite-properties-of-k-schemes-that-can-be-checked-after-base-change-to-the-algebraic-closure/", "published_at": "2011-06-13T18:50:16+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d816abc47", "title": "Favorite properties of varieties (finite type k-schemes) checkable at closed points?", "url": "https://math216.wordpress.com/2011/06/13/favorite-properties-of-varieties-finite-type-k-schemes-checkable-at-closed-points/", "published_at": "2011-06-13T18:35:28+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d822e6629", "title": "Favorite open or closed conditions?", "url": "https://math216.wordpress.com/2011/06/10/favorite-open-or-closed-conditions-2/", "published_at": "2011-06-10T17:29:33+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d82bf17df", "title": "Favorite semicontinuous functions?", "url": "https://math216.wordpress.com/2011/06/08/favorite-semicontinuous-functions/", "published_at": "2011-06-08T18:24:09+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d83322e63", "title": "Fifteenth post: differentials, derived functors, and introduction to flatness", "url": "https://math216.wordpress.com/2011/05/14/fifteenth-post/", "published_at": "2011-05-14T10:00:44+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d83c1a34e", "title": "Fourteenth post: Elliptic curves, and introduction to differentials", "url": "https://math216.wordpress.com/2011/04/22/fourteenth-post/", "published_at": "2011-04-22T21:00:28+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d84924007", "title": "Thirteenth notes: applications of cohomology", "url": "https://math216.wordpress.com/2011/03/31/thirteenth-notes-applications-of-cohomology/", "published_at": "2011-03-31T14:00:11+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d8546e2b9", "title": "Blowing up", "url": "https://math216.wordpress.com/2011/03/16/blowing-up/", "published_at": "2011-03-16T19:49:25+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d85fb864d", "title": "Twelfth notes: relative Spec/Proj, and introduction to cohomology", "url": "https://math216.wordpress.com/2011/03/10/twelfth-notes/", "published_at": "2011-03-11T06:00:12+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d8632e565", "title": "Eleventh notes: more on quasicoherent sheaves", "url": "https://math216.wordpress.com/2011/02/19/eleventh-notes-more-on-quasicoherent-sheaves/", "published_at": "2011-02-19T15:00:49+00:00" }, { "id": "01a0bb7a-91ff-73e9-a6fa-504d86b589c9", "title": "Tenth notes: Quasicoherent and coherent sheaves", "url": "https://math216.wordpress.com/2011/01/30/tenth-notes-quasicoherent-and-coherent-sheaves/", "published_at": "2011-01-30T10:00:21+00:00" } ] posts Claim your blog
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math216.wordpress.com

2025

October 2025: Final prepublication pdf (and appearance of the book)original ↗
27 Oct 2025
September 2025: Book about to appearoriginal ↗
11 Sept 2025

2024

September 2024 version (last version probably of the year)original ↗
12 Sept 2024
July 2024 version (going to Princeton University Press)original ↗
27 Jul 2024
Burt Totaro’s elementary proof that a hypersurface is normal if it is regular in codimension 1original ↗
14 Jul 2024
Late February 2024 versionoriginal ↗
26 Feb 2024
February 2024 version: content now complete, including indexoriginal ↗
6 Feb 2024

2023

July 2023 version: content now complete, including indexoriginal ↗
31 Jul 2023
June 2023 version: potentially finalized contentoriginal ↗
1 Jul 2023
April 2023 version of the notesoriginal ↗
2 Apr 2023
(i) reference question (pathological non-Noetherian examples), and (ii) the Jordan-Holder packageoriginal ↗
11 Mar 2023
December 2022 version of the notesoriginal ↗
1 Jan 2023

2022

August 2022 version of the notesoriginal ↗
2 Sept 2022
A fun example from Daniel Litt: slightly unusual behavior of infinite rank vector bundlesoriginal ↗
4 Aug 2022
Cohomology and base change: new expositionoriginal ↗
20 Jul 2022
An introduction to associated points (and associated primes): new expositionoriginal ↗
20 Jul 2022
Eric Larson’s proof of the Cohomology and Base Change Theorem (and Grauert’s Theorem)original ↗
14 Apr 2022
spectral sequences are not scaryoriginal ↗
25 Mar 2022

2021

the Kunneth formula for quasicoherent sheaves on varietiesoriginal ↗
24 Jul 2021
announcement: Jarod Alper on stacksoriginal ↗
2 Jan 2021

2020

Fun example from Nikolas Kuhn: simplest (?) example of an affine open subset of an affine scheme that is not a principal/distinguished open subsetoriginal ↗
25 Nov 2020
Principal open sets vs. distinguished open setsoriginal ↗
25 Nov 2020
Pseudolecture 13 postponed to October 3original ↗
19 Sept 2020
Fibered products: more thoughts between pseudolectures 11 and 12original ↗
9 Sept 2020
Between pseudolectures 11 and 12original ↗
8 Sept 2020
Problems to think about (up to pseudolecture 9)original ↗
28 Aug 2020
After pseudolecture 9original ↗
24 Aug 2020
Between pseudolectures 6 and 7original ↗
5 Aug 2020
Between pseudolectures 5 and 6original ↗
26 Jul 2020
Pseudolecture 5 tomorroworiginal ↗
25 Jul 2020
Groups, groupoids, and stacksoriginal ↗
24 Jul 2020
After the fourth pseudolectureoriginal ↗
19 Jul 2020
Reading and problems after the third pseudolectureoriginal ↗
14 Jul 2020
Pseudolecture 3 starting shortlyoriginal ↗
11 Jul 2020
Readings and problem set for after the second pseudolectureoriginal ↗
6 Jul 2020
Plan for tomorrow (the second pseudolecture)original ↗
3 Jul 2020
Getting ready for the second pseudolectureoriginal ↗
1 Jul 2020
Discussion for this week (starting June 27 2020)original ↗
28 Jun 2020
Post mortem on first pseudolecture: non-mathematicsoriginal ↗
27 Jun 2020
How to take part in tomorrow’s pseudolecture (take two)original ↗
27 Jun 2020
How to take part in tomorrow’s pseudolecture (take one)original ↗
26 Jun 2020
brief updateoriginal ↗
25 Jun 2020
Zulip fully live; infrastructure mostly set uporiginal ↗
22 Jun 2020
Groups and groupoids set up noworiginal ↗
20 Jun 2020
Groups and groupoids, Zulip and discord (and first lecture one week later again)original ↗
19 Jun 2020
late Monday June 15original ↗
16 Jun 2020
recent post accidentally not pinnedoriginal ↗
10 Jun 2020
Tuesday June 9 eveningoriginal ↗
10 Jun 2020
(action required) questionnaire to make groups; and “follow” rather than “email”original ↗
8 Jun 2020
sign-up form for AGITTOCoriginal ↗
6 Jun 2020
Thursday night update (June 4)original ↗
5 Jun 2020
Friday night updateoriginal ↗
30 May 2020
More, on a Saturday nightoriginal ↗
24 May 2020
Some thoughts as I continue to read through registrationsoriginal ↗
21 May 2020
Further updateoriginal ↗
19 May 2020
Update on AGITTOC “registration” surveyoriginal ↗
17 May 2020
Algebraic Geometry in the Time of COVID: launchoriginal ↗
10 May 2020
online course: updateoriginal ↗
3 May 2020
Foundations Of Algebraic Geometry online “course” 2020original ↗
19 Apr 2020

2017

November 2017 versionoriginal ↗
22 Nov 2017
pointer to 2017-2018 courseoriginal ↗
7 Oct 2017
June 2017 versionoriginal ↗
11 Jun 2017
February 2017 versionoriginal ↗
8 Feb 2017

2016

December 2015 versionoriginal ↗
1 Jan 2016

2015

November 2015 versionoriginal ↗
29 Nov 2015
October 2015 versionoriginal ↗
30 Oct 2015
Pointer to 2015-16 courseoriginal ↗
20 Sept 2015
September 2015 versionoriginal ↗
20 Sept 2015
April 2015 versionoriginal ↗
30 Apr 2015
January 2015 versionoriginal ↗
30 Jan 2015

2014

2014 versionoriginal ↗
31 Dec 2014
Math 216: Foundations of algebraic geometry 2014original ↗
5 Jan 2014

2013

Another small post: a newer versionoriginal ↗
11 Jun 2013
Small post: new versionoriginal ↗
25 Mar 2013
Advice soughtoriginal ↗
26 Feb 2013
Twenty-seventh post: drafts of remaining chaptersoriginal ↗
19 Feb 2013

2012

Twenty-sixth post: Further editsoriginal ↗
17 Dec 2012
Twenty-fifth post: Smooth and etale morphisms, reduxoriginal ↗
10 Oct 2012
Twenty-fourth post: Smooth, etale, unramifiedoriginal ↗
26 Sept 2012
Twenty-third post: Local complete intersectionsoriginal ↗
5 Sept 2012
Twenty-second post: Serre duality reduxoriginal ↗
20 Aug 2012
Twenty-first post: after winter quarteroriginal ↗
27 Mar 2012

2011

Twentieth post: After the fall quarteroriginal ↗
21 Dec 2011
Associated points, reduxoriginal ↗
30 Oct 2011
Nineteenth post: revisionsoriginal ↗
5 Oct 2011
Math 216: Foundations of algebraic geometry 2011-12original ↗
19 Sept 2011
Eighteenth post: year’s end, year’s startoriginal ↗
19 Sept 2011
Seventeenth post: Flatness (finished), and proof of Serre dualityoriginal ↗
21 Jul 2011
Sixteenth post: More flatnessoriginal ↗
28 Jun 2011
Favorite properties of k-schemes that can be checked after base change to the algebraic closureoriginal ↗
13 Jun 2011
Favorite properties of varieties (finite type k-schemes) checkable at closed points?original ↗
13 Jun 2011
Favorite open or closed conditions?original ↗
10 Jun 2011
Favorite semicontinuous functions?original ↗
8 Jun 2011
Fifteenth post: differentials, derived functors, and introduction to flatnessoriginal ↗
14 May 2011
Fourteenth post: Elliptic curves, and introduction to differentialsoriginal ↗
22 Apr 2011
Thirteenth notes: applications of cohomologyoriginal ↗
31 Mar 2011
Blowing uporiginal ↗
16 Mar 2011
Twelfth notes: relative Spec/Proj, and introduction to cohomologyoriginal ↗
11 Mar 2011
Eleventh notes: more on quasicoherent sheavesoriginal ↗
19 Feb 2011
Tenth notes: Quasicoherent and coherent sheavesoriginal ↗
30 Jan 2011
Next