Vakil's seminar Publications
JJ image

Joachim Jelisiejew

(to email, avoid OBSTRUCTION): j.jelisiejewOBSTRUCTION@uw.edu.pl

Faculty of Mathematics, Informatics
and Mechanics, University of Warsaw
Room 1310, Banacha 2, Warsaw

Publication list

CV (09.2023)

About

My work is in the intersection of algebraic geometry and commutative algebra, frequently with a view towards applications. I am happy to use tools from infty-cats, stack theory to representation theory to combinatorics and computational tools such as M2. I work in particular on deformations of zero-dimensional objects, Bialynicki-Birula decompositions, Hilbert and Quot schemes, applications to tensors and secants varieties, applications to motivic homotopy theory etc.
See my papers or my poster for details. If you want to discuss, just send me an email!

News

  • The PhD Open lectures by Ritvik Ramkumar (Cornell) will be held from 23 to 25 May 2024. More information will be given later. The lectures, when also passing the exam, account for 3 ECTS points. Thus this and any previous/subsequent series would be equivalent to a full monographic lecture. A subsequent (thematically disconnected but in the realm of CommAlg / AlgGeo) series next year is very likely.
  • Syzygies
    In September in Kraków with Gabi and Jerzy I coorganize a conference on Syzygies and Hilbert Schemes!. Everyone is cordially invited!
  • I put a list of open problems in zero-dimensional deformations on arXiv. Enjoy! Also thanks to Tony Iarrobino for the initial push.
  • On 27 April 2023, I have been granted a habilitation.
  • My joint paper with Joseph Landsberg and Arpan Pal on minimal border rank tensors is accepted in Mathematiche Annalen. The interesting part is that such tensors are algebraic: they come from a bilinear map between modules. Also they have a new invariant: 111-algebra, which is unexpected (there exist few such interesting invariants) was a small wonder to find.