Brad Dirks

Contact Info

  • Office: TBD
  • Email: bdirks @ umich dot edu

In Fall 2023, I will begin an NSF post-doc at Stony Brook University, mentored by Christian Schnell. In Spring 2023, I graduated with a PhD in Mathematics from University of Michigan. My advisor was Mircea Mustaţǎ. Before that, I was an undergraduate student at UCLA. I am interested in algebraic geometry. Specifically, I like to think about Hodge modules and their applications to the study of singularities. Some of the topics I have found most interesting are Hodge Ideals, (generalized) V-filtrations and their interaction with the Hodge filtration of Hodge modules, and Bernstein-Sato polynomials.

At UCLA, I was a mentor in the LA Math Circle (now the ORMC). I have also acted as a mentor in the Michigan Mathematics DRP.

Teaching (at Michigan)
  • Winter 2022: Math 116 (Calc 2)
  • Fall 2021: Math 115 (Calc 1)
  • Fall 2020: Math 115 (Calc 1)
  • Fall 2019: Math 116 (Calc 2)
  • Winter 2019: Math 115 (Calc 1)
  • Fall 2018: Math 105 (Pre-Calc)

V-filtrations and minimal exponents for local complete intersection singularities (with Qianyu Chen, Sebastián Olano and Mircea Mustaţǎ).
Submitted. arXiv
Minimal exponents of hyperplane sections: a conjecture of Teissier (with Mircea Mustaţǎ).
arXiv J. Eur. Math Soc.
The Hilbert series of Hodge ideals of hyperplane arrangements (with Mircea Mustaţǎ).
arXiv Journal of Singularities
Upper bounds for roots of B-functions, following Kashiwara and Lichtin (with Mircea Mustaţǎ).
arXiv Publ. Res. Inst. Math. Sci.
On Hodge Filtration, V-filtration and Fourier Transform (with Qianyu Chen).
arXiv Selecta Math.
The minimal exponent and k-rationality for local complete intersections (with Qianyu Chen and Mircea Mustaţǎ).
Submitted. arXiv
Verdier specialization and restrictions of Hodge modules (with Qianyu Chen and Morihiko Saito).
Submitted. arXiv