{"id":235,"date":"2021-01-08T02:16:07","date_gmt":"2021-01-08T02:16:07","guid":{"rendered":"https:\/\/mathlab.io\/?page_id=235"},"modified":"2021-01-30T17:45:52","modified_gmt":"2021-01-30T17:45:52","slug":"posts","status":"publish","type":"page","link":"https:\/\/automathon.org\/index.php\/posts\/","title":{"rendered":"Posts"},"content":{"rendered":"<ul class=\"wp-block-latest-posts__list has-dates wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/automathon.org\/index.php\/2026\/03\/24\/jhm-article\/\">JHM article<\/a><time datetime=\"2026-03-24T14:45:22+00:00\" class=\"wp-block-latest-posts__post-date\">March 24, 2026<\/time><div class=\"wp-block-latest-posts__post-full-content\"><!-- wp:paragraph -->\n<p>I wrote about experiences doing educational outreach in jails a few years ago, originally intending to turn out a blog post. It turned out that I had more to say than I expected so it ended up as an article-length piece which has finally appeared in the <a href=\"https:\/\/scholarship.claremont.edu\/jhm\/vol16\/iss1\/14\/\">Journal of Humanistic Mathematics<\/a>. <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>As with the <a href=\"https:\/\/drive.google.com\/drive\/folders\/1uPycSXl_knqehtWbYtSZV79h_7oFov-S\">math circle resources I posted earlier<\/a>, my hope is that this kind of thing can help people act on their interest in doing this sort of outreach. If that&#8217;s you, please check it out!<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p><\/p>\n<!-- \/wp:paragraph --><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/automathon.org\/index.php\/2025\/05\/14\/moar-new-articles\/\">Moar new articles!<\/a><time datetime=\"2025-05-14T00:59:03+00:00\" class=\"wp-block-latest-posts__post-date\">May 14, 2025<\/time><div class=\"wp-block-latest-posts__post-full-content\"><!-- wp:paragraph -->\n<p>With several nice collaborators, <a href=\"https:\/\/arxiv.org\/pdf\/2505.06486\">we finished the first stage of a project<\/a> that came out of last summer&#8217;s <a href=\"https:\/\/www.ams.org\/programs\/research-communities\/2024MRC-AlgebraicComb\">AMS MRC on Algebraic Combinatorics<\/a>. Building off of our group leader <a href=\"https:\/\/math.dartmouth.edu\/~orellana\/\">Rosa Orellana<\/a>&#8216;s experience in the area, we studied the chromatic symmetric function of unicyclic graphs. We found several nice formulas including some that generalize <a href=\"https:\/\/arxiv.org\/abs\/2404.06002\">recent work of her and her students on trees<\/a>, as well as some interesting phenomena pertaining only to graphs with cycles. Like most good projects, we came out with a lot more questions than those we were able to answer, and some of us will likely continue working in this area. <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>One of the fun things about this project was learning about various graph algorithms and methods of computing the CSF. I will post some of the Jupyter notebooks with code we found helpful under the <a href=\"https:\/\/automathon.org\/index.php\/code\/\">Code<\/a> area soon. Also keep an eye out for forthcoming work on principal specialization of CSFs with another cohort from the MRC!<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>I&#8217;m also excited that <a href=\"https:\/\/arxiv.org\/abs\/2312.15093\">my article with Fernando D\u00edaz on shellability<\/a> and posets of rook placements (sects) has been accepted for publication in the <a href=\"https:\/\/www.combinatorics.org\/\">Electronic Journal of Combinatorics<\/a>. It should appear at some point this summer. Finally, an article on starting and running a math circle at a county jail will appear in  another fine publication <a href=\"https:\/\/scholarship.claremont.edu\/jhm\/\">(Journal of Humanistic Mathematics<\/a>), probably this July.<\/p>\n<!-- \/wp:paragraph --><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/automathon.org\/index.php\/2025\/03\/21\/new-articles\/\">New articles!<\/a><time datetime=\"2025-03-21T22:11:58+00:00\" class=\"wp-block-latest-posts__post-date\">March 21, 2025<\/time><div class=\"wp-block-latest-posts__post-full-content\"><!-- wp:paragraph -->\n<p>Phew! It&#8217;s been a while since any updates happened here so some work has gone out in the meantime. <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>First, a few mastery\/standards-based testing (MBT) pieces got printed in the past year or so. I started working on designing and implementing these grading systems with Becky Swanson when I started at Mines in 2022, and our first write-ups about our experiences went out in Fall 2023. We created an extensive <a href=\"https:\/\/trefnycenter.mines.edu\/resources\/masterygrading\/\">web resource<\/a> with the help of <a rel=\"noreferrer noopener\" href=\"https:\/\/trefnycenter.mines.edu\/about-us\/\" target=\"_blank\">Carter Moulton at the Trefny Center<\/a> detailing our decision-making process and giving a preview of the results. Later that fall, we wrote a <a href=\"https:\/\/ilasic.org\/wp-content\/uploads\/IMAGE\/image71.pdf\">piece for IMAGE<\/a>, the bulletin of the International Linear Algebra Society, to encourage other Linear Algebra instructors to try out MBT. Last summer, a <a rel=\"noreferrer noopener\" href=\"https:\/\/journalhosting.ucalgary.ca\/index.php\/TLI\/article\/view\/79380\" target=\"_blank\">results article<\/a> was accepted for publication and recently appeared (with a companion <a rel=\"noreferrer noopener\" href=\"https:\/\/issotl.com\/2025\/02\/26\/looking-for-an-entry-point-into-alternative-grading\/\" target=\"_blank\">blog post<\/a>)in Teaching &amp; Learning Inquiry, a journal of the International Society for the Scholarship of Teaching and Learning (ISSOTL). A final practitioner article on instructor collaboration with campus teaching and learning centers is underway!<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>Meanwhile, Becky and I also wrote a <a href=\"https:\/\/www.mathvalues.org\/masterblog\/what-is-a-teaching-postdoc\">blog post<\/a> for the MAA Math Values blog on teaching postdoc positions and our collaborations. This then turned into <a href=\"http:\/\/digitaleditions.walsworthprintgroup.com\/publication\/?i=836749&amp;p=12&amp;view=issueViewer\" target=\"_blank\" rel=\"noreferrer noopener\">an article<\/a> in the January\/February 2025 issue of MAA Focus magazine.  <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>Finally, in January we finished <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2501.18030\" target=\"_blank\">a pre-print<\/a> on Kohnert polynomials from a project started at GRWC in Milwaukee last summer. It is currently in submission, and hopefully will be published soon! See more on my <a href=\"https:\/\/mathlab.io\/index.php\/research\">Research<\/a> page.<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>Another piece on math circles at the county jail has been accepted for publication, and will appear soon. Also, we are working on finishing one project on chromatic symmetric functions of unicyclic graphs very soon! I will try to post when these things get put out. <\/p>\n<!-- \/wp:paragraph --><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/automathon.org\/index.php\/2024\/05\/06\/math-circle-resources\/\">Math Circle Resources<\/a><time datetime=\"2024-05-06T23:10:06+00:00\" class=\"wp-block-latest-posts__post-date\">May 6, 2024<\/time><div class=\"wp-block-latest-posts__post-full-content\"><!-- wp:paragraph -->\n<p>In preparation for a piece of writing I did about starting a math circle in county jails in Boulder and New Orleans, I collected the activities that we&#8217;ve developed (based on many other math circle resources available online and in print) <a href=\"https:\/\/drive.google.com\/drive\/folders\/1uPycSXl_knqehtWbYtSZV79h_7oFov-S?usp=sharing\" target=\"_blank\" rel=\"noreferrer noopener\">to share broadly via Google Drive<\/a>. The piece got long and may turn into a journal article rather than the original intention of blog post, but when it is available I will link to it here. It describes the issues, obstacles, and joys of engaging in this kind of outreach which I&#8217;ve been organizing on a weekly basis since April 2023. Look out for more coming soon!<\/p>\n<!-- \/wp:paragraph --><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/automathon.org\/index.php\/2023\/12\/29\/new-paper\/\">New paper!<\/a><time datetime=\"2023-12-29T22:05:45+00:00\" class=\"wp-block-latest-posts__post-date\">December 29, 2023<\/time><div class=\"wp-block-latest-posts__post-full-content\"><!-- wp:paragraph -->\n<p>My friend and academic brother <a href=\"https:\/\/nmorera.github.io\/diazmorera\/\">N\u00e9stor D\u00edaz<\/a> and I started talking about working on a project together probably a bit over a year ago. I pitched this idea on proving shellability of Bruhat order for some of the symmetric varieties I was familiar with, figuring that it would be a fun way to learn more about poset topology, and that it wouldn\u00b4t be terribly difficult to get some results building off of past work of Incitti, Can, Cherniavsky, Twelbeck, Wyser and others. <\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>The results we set out for turned out to have some fight in them! We thought we had something several times and then found problems and counterexamples in the course of writing things more carefully. Eventually, we shifted gears slightly to working with the sects of the (p,q)-clans. The idea here was that (1) the sects are slightly simpler and smaller than arbitrary intervals of clans, as they group &#8220;like&#8221; clans together, and (2) we know a nice bijection of sects and collections of rook placements. This problem was also not without challenges and subtleties, but after working out a way to associate a partial permutation to a clan in a way so that covering moves could be coherently labelled, the argument came together.<\/p>\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n<p>We had pretty much worked this out by the time we met up at the Schubert Summer School at UIUC in June, but for various reasons it took us a while to write up the details. We&#8217;re excited that we were finally able to <a href=\"https:\/\/arxiv.org\/abs\/2312.15093\">post a pre-print to arXiv.org<\/a> last week just in time for the holidays. Enjoy!<\/p>\n<!-- \/wp:paragraph --><\/div><\/li>\n<\/ul>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-235","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/automathon.org\/index.php\/wp-json\/wp\/v2\/pages\/235","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/automathon.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/automathon.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/automathon.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/automathon.org\/index.php\/wp-json\/wp\/v2\/comments?post=235"}],"version-history":[{"count":4,"href":"https:\/\/automathon.org\/index.php\/wp-json\/wp\/v2\/pages\/235\/revisions"}],"predecessor-version":[{"id":303,"href":"https:\/\/automathon.org\/index.php\/wp-json\/wp\/v2\/pages\/235\/revisions\/303"}],"wp:attachment":[{"href":"https:\/\/automathon.org\/index.php\/wp-json\/wp\/v2\/media?parent=235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}