A history of Stickelberger's theorem

This thesis is a history of Stickelberger's theorem, from Gauss' sixth proof of quadratic reciprocity to Stickelberger's landmark paper.No embarg

Decolonizing influence : an exploration of queer sexuality in the film Stryker

Through an analysis of Noam Gonick’s independent Canadian film Stryker (2004) as public pedagogy, and in comparison to real life narratives, the authors illustrate how queer sexualities and genders are constructed according to Western hetero-colonial tropes that either silence Indigenous Two-Spirit people or position them as an exotic ‘other’ in queer and non-queer Canadian contexts. Through this comparison the authors shed light on problematic (mis)representations of Indigenous Two-Spirit people in cinema and how this may impact ‘real life’ encounters and assumptions about Two-Spirit people, and suggests some implications for decolonizing Western influence on Indigenous sexuality and gender identity.peer-reviewe

Character formulas for 2-Lie algebras

Part I of this thesis lays the foundations of categorical Demazure operators following the work of Anthony Joseph. In Joseph's work, the Demazure character formula is given a categorification by idempotent functors that also satisfy the braid relations. This thesis defines 2-functors on a category of modules over a half 2-Lie algebra and shows that they indeed categorify Joseph's functors. These categorical Demazure operators are shown to also be idempotent and are conjectured to satisfy the braid relations as well as give a further categorification of the Demazure character formula.Part II of this thesis gives a presentation of localized affine and degenerate affine Hecke algebras of arbitrary type in terms of weights of the polynomial subalgebra and varied Demazure-BGG type operators. The definition of a graded algebra is given whose category of finite-dimensional ungraded nilpotent modules is equivalent to the category of finite-dimensional modules over an associated degenerate affine Hecke algebra. Moreover, unlike the traditional grading on degenerate affine Hecke algebras, this grading factors through central characters, and thus gives a grading to the irreducible representations of the associated degenerate affine Hecke algebra. This paper extends the results of Rouquier, Brundan and Kleschev on the affine and degenerate affine Hecke algebras for $GL_n$ which are shown to be related to quiver Hecke algebras in type A, and also secretly carry a grading

Typical clinical diagnosis and negative first-line molecular results: when genome sequencing and transcriptomics integration helps untangle unexplained rare Mendelian diseases

International audienceMeeting Abstract P11.096.

Typical clinical diagnosis and negative first-line molecular results: when genome sequencing and transcriptomics integration helps untangle unexplained rare Mendelian diseases

International audienceMeeting Abstract P11.096.

Fast genome sequencing in less than 40 days for newborn patients in intensive care unit: a feasibility study allowing diagnosis in 56% of cases in a French hospital network

International audienc

Fast genome sequencing in less than 40 days for newborn patients in intensive care unit: a feasibility study allowing diagnosis in 56% of cases in a French hospital network

International audienc