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Dr. Katrina Honigs

Assistant Professor
Office: SC K 10506
Email address: khonigs "at" sfu "dot" ca
Office hours for 441/741: Mondays 3:30-4:20, Thursdays 1:30-2:20
Office hours for 157: In the Applied Calculus Workshop, AQ4145, MW 12:30-1:30 Curriculum Vitae

I really wish the SFU climbing gym were not closed. There is a petition to reopen it here

I work on the unceded traditional territories of the Coast Salish peoples, including the səl̓ilw̓ətaʔɬ (Tsleil-Waututh), kʷikʷəƛ̓əm (Kwikwetlem), Sḵwx̱wú7mesh Úxwumixw (Squamish) and xʷməθkʷəy̓əm (Musqueam) Nations.

Teaching:

  • (Spring 2024) Math 157 and 441/741 are both on canvas

Upcoming Talks:

  • A note on travel availability: I cannot travel to any states or countries where I could be denied life-saving medical care or face criminal charges for a normal medical event.

Materials from from past talks, organizing:

  • Mathematics Research Community: Derived Categories, Arithmetic and Geometry, June 4-10, 2023.
  • FRG Workshop: Derived Categories and Moduli Spaces, Cornell University, April 30, 2022: Video of my talk
  • Meet an SFU Scientist, April 27, 2022: The slides from my talk
  • Summer School, Summer 2021: "PRIMA 2021 Summer School: Rational curves and moduli spaces in arithmetic geometry". Lectures, course notes and worksheets are available here. Lectures are also hosted on mathtube.org.

Papers:

  • On abelian varieties whose torsion is not self-dual arxiv
    With Sarah Frei and John Voight.
  • Theta characteristics and the fixed locus of [-1] on some varieties of Kummer type arxiv
    With Graham McDonald.
  • Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci arxiv
    With Sarah Frei. Forum Math. Sigma 11 (2023) E40
  • A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold arxiv
    With Sachi Hashimoto, Alicia Lamarche and Isabel Vogt. Res. Number Theory 8 (2022)
  • Rational points and derived equivalence arxiv
    With Nick Addington, Ben Antieau and Sarah Frei. Compos. Math. 157 (2021) 1036--1050
  • Fourier--Mukai partners of Enriques and bielliptic surfaces in positive characteristic arxiv
    With Max Lieblich and Sofia Tirabassi. Math. Res. Lett. 28 (2021) 65--91
  • Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic arxiv
    With Luigi Lombardi and Sofia Tirabassi. Math. Z. 146 (2020) 727--749
  • Derived equivalence, Albanese varieties, and the zeta functions of 3-dimensional varieties. arxiv
    Appendix with Jeff Achter, Sebastian Casalaina-Martin, and Charles Vial. Proc. Amer. Math. Soc. 146 (2018), 1005--1013
  • Derived equivalent surfaces and abelian varieties, and their zeta functions. arxiv
    Proc. Amer. Math. Soc. 143 (2015), 4161--4166
  • Missing edge coverings of bipartite graphs and the gometry of the Hausdorff metric pdf.
    J. Geom. 104 (2013) 107--125
    (Relates to work I did at the REU at GVSU)

Dissertation:

Some course materials from past teaching:

  • In Fall 2023, I taught Math 817 at SFU. The course webpage is here
  • In Fall 2023, I taught a reading course on abelian varieties at SFU. The course webpage is here
  • In Fall 2022, I taught Math 818 at SFU. The course webpage is here
  • In Summer 2018, I taught Math 6080 at the University of Utah. The course webpage is here
  • In Spring 2018, I taught Math 5320 at the University of Utah. The course webpage is here

Expository:

  • Definitions of the multiplicative group and group objects in categories pdf.
  • Coherence theorems in two-dimensional category theory pdf. This summary article was my Part III essay.

Other:

Several years ago, I met Alexander Grothendieck. I wrote an essay about it linked here. An abridged version of this essay appeared in Vol. 63, No. 3 of Notices.