Dr. Katrina Honigs

Assistant Professor
Office: SC K 10506
Email address: khonigs "at" sfu "dot" ca
Office hours by appointment Curriculum Vitae

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:

Papers and preprints:

• 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. To appear in Kyoto J. Math.
• 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)

Other writing:

• Derived equivalent varieties and their zeta functions, PhD thesis, UC Berkeley, Spring 2015
• Coherence theorems in two-dimensional category theory pdf. This summary article was my Part III essay.
• 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.

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.

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 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