Mathematics Department

University of California, Santa Cruz

1156 High Street

Santa Cruz, CA 95064

Office: McHenry 4184

E-mail: My first name @ ucsc.edu

Phone: (831) 459-4550

- Stratification and the comparison between homological and tensor triangular support. Preprint, 18 pages, 2021. Joint with Tobias Barthel and Drew Heard. [arxiv] [pdf]
- Stratification in tensor triangular geometry with applications to spectral Mackey functors. Preprint, 60 pages, 2021. Joint with Tobias Barthel and Drew Heard. [arxiv] [pdf]
- A characterization of finite étale morphisms in tensor triangular geometry. Preprint, 21 pages, 2021. [arxiv] [pdf]
- The spectrum of derived Mackey functors.
*Trans. Amer. Math. Soc.*, to appear, 48 pages, 2021. Joint with Irakli Patchkoria and Christian Wimmer. [arxiv] [journal] [pdf] - The compactness locus of a geometric functor and the formal construction of the Adams isomorphism.
*J. Topology*, 12:287-327, 2019. [arxiv] [journal] [pdf] - A note on triangulated monads and categories of module spectra.
*C. R. Acad. Sci. Paris*, 356:839-842, 2018. Joint with Ivo Dell’Ambrogio. [arxiv] [journal] [pdf] - The spectrum of the equivariant stable homotopy category of a finite group.
*Invent. Math.*, 208:283-326, 2017. Joint with Paul Balmer. [arxiv] [journal] [pdf] - Grothendieck-Neeman duality and the Wirthmüller isomorphism.
*Compositio Math.*, 152:1740-1776, 2016. Joint with Paul Balmer and Ivo Dell’Ambrogio. [arXiv] [journal] [pdf] - Restriction to finite-index subgroups as étale extensions in topology, KK-theory and geometry.
*Algebr. Geom. Topol.*, 15:3025-3047, 2015. Joint with Paul Balmer and Ivo Dell’Ambrogio. [arXiv] [journal] [pdf] - Higher comparison maps for the spectrum of a tensor triangulated category.
*Adv. Math.*, 247:71-102, 2013. [arXiv] [journal] [pdf]

MATH234 - Riemann Surfaces (Spring 2021)

MATH210 - Manifolds III (Spring 2021)

MATH111A - Algebra (Winter 2021)

MATH211 - Algebraic Topology (Winter 2021)

MATH210 - Manifolds III (Spring 2020)

MATH19A - Calculus For Science, Engineering, And Mathematics (Fall 2019)

MATH203 - Algebra IV (Fall 2019)

MATH117 - Advanced Linear Algebra (Spring 2019)

MATH23B - Vector Calculus (Winter 2019)

MATH200 - Algebra I (Fall 2018)

Those with an excess amount of time on their hands can watch my talk at Triangulated Categories and Applications (recorded for the ages on 23 June 2016 in beautiful Banff). Thrilling stuff.

More recently, here is my (virtual) talk at the Workshop on Homotopy Theory and Group Theory (recorded on 8 July 2021). Here are the [slides].