Michael Perlman, Notre Dame

Michael Perlman

Department of Mathematics, University of Notre Dame

Office: B20 Hayes-Healy Center

Email: mperlman@nd.edu

General

I am a fifth-year Ph.D. student and NSF Graduate Fellow in the Department of Mathematics at the University of Notre Dame. My advisor is Claudiu Raicu.
Previously, I was an undergraduate at the University of Illinois at Chicago.

I am on the job market. Here is my research statement and CV (last updated 10/21/2019).



Research

arXiv   ResearchGate   Google Scholar

My interests are in algebraic geometry, commutative algebra, D-modules, and their interactions with representation theory.
I like to study homological invariants of algebraic varieties, such as syzygies and local cohomology.
More recently, I have been thinking about singularities and invariants arising from birational geometry and the theory of D-modules (e.g. multiplier ideals, Hodge ideals, Bernstein-Sato polynomials).

Publications and Preprints

  1. Mixed Hodge structure on local cohomology with support in maximal minors
    (with Mircea Mustaţă and Claudiu Raicu)
    In preparation

  2. Relations between the 2 x 2 minors of a generic matrix
    (with Hang Huang, Claudia Polini, Claudiu Raicu, and Alessio Sammartano)
    Submitted
    arXiv

  3. Equivariant D-modules on alternating senary 3-tensors
    (with András C. Lőrincz)
    Nagoya Mathematical Journal, accepted
    arXiv, poster

  4. Lyubeznik numbers for Pfaffian rings
    Journal of Pure and Applied Algebra, accepted
    arXiv

  5. Computing Schur complexes
    (with Michael K. Brown, Hang Huang, Robert P. Laudone, Claudiu Raicu, Steven V Sam, and João Pedro Santos)
    Journal of Software for Algebra and Geometry, accepted
    arXiv

  6. Equivariant D-modules on 2 x 2 x 2 hypermatrices
    Journal of Algebra, accepted
    arXiv

  7. Regularity and cohomology of Pfaffian thickenings
    Journal of Commutative Algebra, to appear
    arXiv, poster



Macaulay2



Teaching Assistant



Events and Activities

Upcoming:

Recent Past:



About Me

I grew up in the suburbs of Chicago (Bartlett, Schaumburg, Buffalo Grove).
Outside of mathematics, I am interested in listening to music (Rock, Hip hop, Techno) and film - I love to talk about movies.
In my free time I enjoy cooking, bicycling, and gardening - before pursuing math, I studied plant biology.