Dr. Katrina Honigs

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

I 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:

Math 157 (all course information will be on canvas)
Math 818. The course webpage is here.

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. 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)

Dissertation:

Derived equivalent varieties and their zeta functions, PhD thesis, UC Berkeley, Spring 2015

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

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.