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.

During academic year 2020-2021 I will be Coleman Postdoctoral Fellow at Queen's University, and starting Fall 2021 I will be Dunham Jackson Assistant Professor (postdoc) at University of Minnesota.

Here is my CV (last updated 2/19/2020).



Research

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, including local cohomology, syzygies, and mixed Hodge structure.
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. Hodge ideals for the determinant hypersurface
    (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, DOI:10.1017/nmj.2019.33 (2020)
    [arXiv, poster]

  4. Lyubeznik numbers for Pfaffian rings
    Journal of Pure and Applied Algebra 224, no. 5 (2020)
    [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 9, no. 2: 111-119 (2019)
    [arXiv]

  6. Equivariant D-modules on 2 x 2 x 2 hypermatrices
    Journal of Algebra 544: 391-416 (2020)
    [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:

Reading Seminars:



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.