56,966 blogs · [ { "id": "01a08cc3-ec22-71bf-99d0-ec20572a574c", "title": "Some late-night thoughts on AI and the future of research in mathematics", "url": "https://mattbaker.blog/2026/09/10/some-late-night-thoughts-on-ai-and-the-future-of-research-in-mathematics/", "published_at": "2026-09-10T02:50:29+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37abedacdf3", "title": "Mathematical Discourse: A new peer-reviewed journal for math talks", "url": "https://mattbaker.blog/2026/08/24/mathematical-discourse-a-new-peer-reviewed-journal-for-math-talks/", "published_at": "2026-08-24T00:46:52+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37abfc35d03", "title": "The geometry of snowflaked Ptolemaic metric spaces", "url": "https://mattbaker.blog/2026/07/21/the-geometry-of-snowflaked-ptolemaic-metric-spaces/", "published_at": "2026-07-21T01:08:25+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37ac05e94bb", "title": "A Celebration of Spans", "url": "https://mattbaker.blog/2024/07/04/a-celebration-of-spans/", "published_at": "2024-07-04T13:54:17+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37ac0b8f590", "title": "Pi and the AGM", "url": "https://mattbaker.blog/2024/03/14/pi-and-the-agm/", "published_at": "2024-03-14T21:17:58+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37ac15e314b", "title": "Torsors as proportion spaces", "url": "https://mattbaker.blog/2023/09/18/torsors-as-proportion-spaces/", "published_at": "2023-09-18T12:40:53+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37ac1823141", "title": "Algebraic Values of Transcendental Functions at Algebraic Points", "url": "https://mattbaker.blog/2023/03/14/algebraic-values-of-transcendental-functions-at-algebraic-points/", "published_at": "2023-03-14T09:00:00+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37ac247972c", "title": "Linear algebra over rings", "url": "https://mattbaker.blog/2022/12/24/linear-algebra-over-rings/", "published_at": "2022-12-24T14:22:07+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37ac30787e2", "title": "Fitting ideals of modules", "url": "https://mattbaker.blog/2022/11/21/fitting-ideals-of-modules/", "published_at": "2022-11-21T13:25:13+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37ac3175490", "title": "Finitely generated modules over a P.I.D. and the Smith Normal Form", "url": "https://mattbaker.blog/2022/11/09/finitely-generated-modules-over-a-p-i-d/", "published_at": "2022-11-09T05:44:17+00:00" }, { "id": "01a087a1-9e8d-706c-a1bd-b37ac3ca80bb", "title": "A Fields Medal for June Huh", "url": "https://mattbaker.blog/2022/07/05/a-fields-medal-for-june-huh/", "published_at": "2022-07-05T19:51:24+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b656842adae", "title": "Counting with martingales", "url": "https://mattbaker.blog/2021/12/21/counting-with-martingales/", "published_at": "2021-12-21T14:49:44+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b656858e698", "title": "The Eudoxus reals", "url": "https://mattbaker.blog/2021/12/15/the-eudoxus-reals/", "published_at": "2021-12-15T14:40:17+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b6568786a08", "title": "Calendar Calculations with Cards", "url": "https://mattbaker.blog/2021/12/07/calendar-calculations-with-cards/", "published_at": "2021-12-07T22:48:13+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b6568c21c16", "title": "Firing games and greedoid languages", "url": "https://mattbaker.blog/2021/12/03/firing-games-and-greedoid-languages/", "published_at": "2021-12-03T18:33:41+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b65693696be", "title": "Quadratic Reciprocity via Lucas Polynomials", "url": "https://mattbaker.blog/2020/06/02/quadratic-reciprocity-via-lucas-polynomials/", "published_at": "2020-06-02T12:09:25+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b6569f4ea21", "title": "Generalizations of Fermat’s Little Theorem and combinatorial zeta functions", "url": "https://mattbaker.blog/2020/05/26/generalizations-of-fermats-little-theorem-and-combinatorial-zeta-functions/", "published_at": "2020-05-26T11:14:19+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b656a4d8abd", "title": "An April Fools’ Day to Remember", "url": "https://mattbaker.blog/2020/05/22/an-april-fools-day-to-remember/", "published_at": "2020-05-22T23:55:12+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b656add9c72", "title": "A Very Meta Monday", "url": "https://mattbaker.blog/2020/05/04/a-very-meta-monday/", "published_at": "2020-05-04T15:04:24+00:00" }, { "id": "01a0bb54-4e03-735b-bc46-4b656b24a9cf", "title": "Mental Math and Calendar Calculations", "url": "https://mattbaker.blog/2020/04/26/mental-math-and-calendar-calculations/", "published_at": "2020-04-26T17:44:36+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be7837ab6a", "title": "Colorings and embeddings of graphs", "url": "https://mattbaker.blog/2020/04/19/colorings-and-embeddings-of-graphs/", "published_at": "2020-04-19T13:31:23+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be78ff4731", "title": "Some Mathematical Gems from John Conway", "url": "https://mattbaker.blog/2020/04/15/some-mathematical-gems-from-john-conway/", "published_at": "2020-04-15T22:18:37+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be7992137f", "title": "COVID-19 Q&A", "url": "https://mattbaker.blog/2020/04/03/covid-19-mathematical-qa/", "published_at": "2020-04-03T18:55:15+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be79c25598", "title": "Zero Knowledge Identification and One-Way Homomorphisms", "url": "https://mattbaker.blog/2020/04/01/zero-knowledge-identification-and-one-way-homomorphisms/", "published_at": "2020-04-01T13:27:43+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be7a97fafb", "title": "Interlacing via rational functions and spectral decomposition", "url": "https://mattbaker.blog/2020/03/17/interlacing-via-rational-functions-and-spectral-decomposition/", "published_at": "2020-03-17T19:43:20+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be7b1b8155", "title": "Complementary sets of natural numbers and Galois connections", "url": "https://mattbaker.blog/2019/09/12/complementary-sets-of-natural-numbers-and-galois-connections/", "published_at": "2019-09-12T16:51:46+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be7b63b90f", "title": "Lorentzian Polynomials II: Applications", "url": "https://mattbaker.blog/2019/09/02/lorentzian-polynomials-ii-applications/", "published_at": "2019-09-02T16:54:59+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be7c2e457e", "title": "Lorentzian polynomials I: Theory", "url": "https://mattbaker.blog/2019/08/30/lorentzian-polynomials/", "published_at": "2019-08-30T19:17:29+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be7cdea8fe", "title": "Infinitely many primes via generating functions", "url": "https://mattbaker.blog/2019/08/15/infinitely-many-primes-via-generating-functions/", "published_at": "2019-08-15T23:15:26+00:00" }, { "id": "01a0bb5a-62ce-72db-b9f2-57be7cefd185", "title": "The Drunkard’s Walk and Catalan Numbers", "url": "https://mattbaker.blog/2019/08/08/the-drunkards-walk-and-catalan-numbers/", "published_at": "2019-08-08T23:04:35+00:00" }, { "id": "01a0bb62-7794-703b-893a-3999ff647e88", "title": "The Stern-Brocot tree, Hurwitz’s theorem, and the Markoff uniqueness conjecture", "url": "https://mattbaker.blog/2019/01/28/the-stern-brocot-tree-hurwitzs-theorem-and-the-markoff-uniqueness-conjecture/", "published_at": "2019-01-28T12:13:41+00:00" }, { "id": "01a0bb62-7794-703b-893a-3999ffc01dad", "title": "The Balanced Centrifuge Problem", "url": "https://mattbaker.blog/2018/06/25/the-balanced-centrifuge-problem/", "published_at": "2018-06-25T00:12:36+00:00" }, { "id": "01a0bb62-7794-703b-893a-399a0031af55", "title": "Circles, the Basel Problem, and the Apparent Brightness of Stars", "url": "https://mattbaker.blog/2018/03/14/circles-the-basel-problem-and-the-apparent-brightness-of-stars/", "published_at": "2018-03-14T11:34:54+00:00" }, { "id": "01a0bb62-7794-703b-893a-399a005daf85", "title": "GAGS 2018", "url": "https://mattbaker.blog/2018/02/28/gags-2018/", "published_at": "2018-02-28T19:02:19+00:00" }, { "id": "01a0bb62-7794-703b-893a-399a011c1e3d", "title": "The Circuit-Cocircuit Reversal System and Torsor Structures on Spanning Trees", "url": "https://mattbaker.blog/2017/10/11/the-circuit-cocircuit-reversal-system/", "published_at": "2017-10-11T12:49:04+00:00" }, { "id": "01a0bb62-7794-703b-893a-399a014b11aa", "title": "The Geometry of Break Divisors", "url": "https://mattbaker.blog/2017/10/02/the-geometry-of-break-divisors/", "published_at": "2017-10-02T16:19:28+00:00" }, { "id": "01a0bb62-7794-703b-893a-399a022e1f34", "title": "The Combinatorics of Break Divisors", "url": "https://mattbaker.blog/2017/09/19/the-combinatorics-of-break-divisors/", "published_at": "2017-09-19T21:39:28+00:00" }, { "id": "01a0bb62-7794-703b-893a-399a0284ee55", "title": "Whitney Encounters of the Second Kind", "url": "https://mattbaker.blog/2017/01/05/whitney-encounters-of-the-second-kind/", "published_at": "2017-01-05T16:39:00+00:00" }, { "id": "01a0bb62-7794-703b-893a-399a0307eb9f", "title": "p-adic Numbers and Dissections of Squares into Triangles", "url": "https://mattbaker.blog/2016/03/24/p-adic-numbers-and-dissections-of-squares-into-triangles/", "published_at": "2016-03-24T21:35:52+00:00" }, { "id": "01a0bb62-7794-703b-893a-399a03f17497", "title": "Matroids over Hyperfields, Part II", "url": "https://mattbaker.blog/2016/03/17/matroids-over-hyperfields-part-ii/", "published_at": "2016-03-17T18:52:13+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e1169b0de", "title": "Probability, Primes, and Pi", "url": "https://mattbaker.blog/2016/03/14/probability-primes-and-pi/", "published_at": "2016-03-14T15:00:40+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e116f7853", "title": "Matroids over Hyperfields, Part I", "url": "https://mattbaker.blog/2016/03/10/matroids-over-hyperfields-part-i/", "published_at": "2016-03-10T00:56:09+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e11812fce", "title": "Hodge Theory in Combinatorics", "url": "https://mattbaker.blog/2015/12/14/hodge-theory-in-combinatorics/", "published_at": "2015-12-14T21:39:42+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e12083353", "title": "The Jordan Canonical Form", "url": "https://mattbaker.blog/2015/07/31/the-jordan-canonical-form/", "published_at": "2015-07-31T14:42:17+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e12e18684", "title": "A Celebration of Independence", "url": "https://mattbaker.blog/2015/07/04/a-celebration-of-independence/", "published_at": "2015-07-04T01:00:28+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e139d5210", "title": "Number Theory and Cryptography: A Distance Learning Course for High School Students", "url": "https://mattbaker.blog/2015/07/01/number-theory-and-cryptography-a-distance-learning-course-for-high-school-students/", "published_at": "2015-07-01T11:01:54+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e14708cec", "title": "John Nash and the theory of games", "url": "https://mattbaker.blog/2015/05/26/john-nash-and-the-theory-of-games/", "published_at": "2015-05-26T06:06:02+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e1543b9e5", "title": "The Sign of the Quadratic Gauss Sum and Quadratic Reciprocity", "url": "https://mattbaker.blog/2015/04/30/the-sign-of-the-quadratic-gauss-sum-and-quadratic-reciprocity/", "published_at": "2015-04-30T17:32:02+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e16285617", "title": "Post-Cherylmania wrap-up", "url": "https://mattbaker.blog/2015/04/24/post-cherylmania-wrap-up/", "published_at": "2015-04-24T01:12:55+00:00" }, { "id": "01a0bb68-9a44-7035-b1b8-153e16ca6217", "title": "Cherylmania", "url": "https://mattbaker.blog/2015/04/18/cherylmania/", "published_at": "2015-04-18T02:06:51+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f62d8892d", "title": "A p-adic proof that pi is transcendental", "url": "https://mattbaker.blog/2015/03/20/a-p-adic-proof-that-pi-is-transcendental/", "published_at": "2015-03-20T11:44:17+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f63841534", "title": "A motivated and simple proof that pi is irrational", "url": "https://mattbaker.blog/2015/03/15/a-motivated-and-simple-proof-that-pi-is-irrational/", "published_at": "2015-03-15T00:43:04+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f63bbf2c0", "title": "Spooky inference and the axiom of choice", "url": "https://mattbaker.blog/2015/01/17/spooky-inference-and-the-axiom-of-choice/", "published_at": "2015-01-17T20:12:25+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f642d03f1", "title": "Excerpts from the Grothendieck-Serre Correspondence", "url": "https://mattbaker.blog/2014/11/15/excerpts-from-the-grothendieck-serre-correspondence/", "published_at": "2014-11-15T02:10:51+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f64ef2303", "title": "Conference on p-adic methods in number theory", "url": "https://mattbaker.blog/2014/11/13/conference-on-p-adic-methods-in-number-theory/", "published_at": "2014-11-13T03:21:21+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f6545f2a9", "title": "Real Numbers and Infinite Games, Part II", "url": "https://mattbaker.blog/2014/07/07/real-numbers-and-infinite-games-part-ii/", "published_at": "2014-07-07T21:35:07+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f65839622", "title": "Real Numbers and Infinite Games, Part I", "url": "https://mattbaker.blog/2014/07/01/real-numbers-and-infinite-games-part-i/", "published_at": "2014-07-01T15:23:59+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f662c8997", "title": "The Mathematics of Marriage", "url": "https://mattbaker.blog/2014/06/25/the-mathematics-of-marriage/", "published_at": "2014-06-25T00:21:42+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f66507b54", "title": "Newton polygons and Galois groups", "url": "https://mattbaker.blog/2014/05/02/newton-polygons-and-galois-groups/", "published_at": "2014-05-02T15:40:35+00:00" }, { "id": "01a0bb6c-d38d-70e1-a088-e61f66733492", "title": "Effective Chabauty", "url": "https://mattbaker.blog/2014/04/11/effective-chabauty/", "published_at": "2014-04-11T15:13:42+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee930f960b3", "title": "Robert F. Coleman 1954-2014", "url": "https://mattbaker.blog/2014/03/25/robert-f-coleman-1954-2014/", "published_at": "2014-03-25T01:40:19+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee931b23481", "title": "The BSD conjecture is true for most elliptic curves", "url": "https://mattbaker.blog/2014/03/10/the-bsd-conjecture-is-true-for-most-elliptic-curves/", "published_at": "2014-03-10T05:53:09+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee9328961f4", "title": "The Pentagon Problem", "url": "https://mattbaker.blog/2014/02/25/the-pentagon-problem/", "published_at": "2014-02-25T03:07:56+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee932e1a6f3", "title": "Beauty and explanation in mathematics", "url": "https://mattbaker.blog/2014/02/10/beauty-and-explanation-in-mathematics/", "published_at": "2014-02-10T14:05:25+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee933ab583b", "title": "Riemann-Roch theory for graph orientations", "url": "https://mattbaker.blog/2014/01/23/riemann-roch-theory-for-graph-orientations/", "published_at": "2014-01-23T03:24:04+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee9349a0dd2", "title": "Reduced divisors and Riemann-Roch for Graphs", "url": "https://mattbaker.blog/2014/01/12/reduced-divisors-and-riemann-roch-for-graphs/", "published_at": "2014-01-12T14:39:18+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee9357f9aae", "title": "Lucas sequences and Chebyshev polynomials", "url": "https://mattbaker.blog/2013/12/07/lucas-sequences-and-chebyshev-polynomials/", "published_at": "2013-12-07T02:47:28+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee935fa0dfb", "title": "Two applications of finite fields to computational number theory", "url": "https://mattbaker.blog/2013/11/28/two-applications-of-finite-fields-to-computational-number-theory/", "published_at": "2013-11-28T21:20:35+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee9366b3ee2", "title": "Primitive roots, discrete logarithms, and p-adic numbers", "url": "https://mattbaker.blog/2013/11/07/primitive-roots-discrete-logarithms-and-the-interplay-between-p-adic-and-complex-numbers/", "published_at": "2013-11-07T04:00:41+00:00" }, { "id": "01a0bb70-a39f-71f8-a63b-6ee9366fe423", "title": "Riemann-Roch for Graphs and Applications", "url": "https://mattbaker.blog/2013/10/18/riemann-roch-for-graphs-and-applications/", "published_at": "2013-10-18T19:09:44+00:00" }, { "id": "01a0bb74-22f3-7061-abea-94b0f691c599", "title": "The Jacobian of the skeleton and the skeleton of the Jacobian", "url": "https://mattbaker.blog/2013/08/21/the-jacobian-of-the-skeleton-and-the-skeleton-of-the-jacobian/", "published_at": "2013-08-21T19:37:29+00:00" }, { "id": "01a0bb74-22f3-7061-abea-94b0f69f32b2", "title": "Attracting cycles and post-critically finite maps", "url": "https://mattbaker.blog/2013/07/19/attracting-cycles-and-post-critically-finite-maps/", "published_at": "2013-07-19T14:23:24+00:00" }, { "id": "01a0bb74-22f3-7061-abea-94b0f72aae97", "title": "Quadratic reciprocity and Zolotarev’s Lemma", "url": "https://mattbaker.blog/2013/07/03/quadratic-reciprocity-and-zolotarevs-lemma/", "published_at": "2013-07-03T18:13:46+00:00" } ] posts Claim your blog
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