**Research**] [

**Teaching**] [

**&c**]

Welcome! I'm an assistant professor in the Department of Mathematics at Reed College.

My research is in algebraic topology with an emphasis on computations in the chromatic and motivic settings.

I am on sabbatical and leave until Fall 2017.

17.IV.17: New paper [arXiv] on vanishing in stable motivic homotopy sheaves. (Joint with Oliver Röndigs and Paul Arne Østvær.)

10.III.17: I am co-organizing the conference Homotopy theory in the ecliptic: chromatic, equivariant, and motivic mathematics in honor of Doug Ravenel's 70th birthday.

31.I.17: New paper [arXiv] on the stable Galois correspondence for real closed fields. (Joint with Jeremiah Heller.)

9.VIII.16: New paper [arXiv] on the tensor triangular geometry of the stable motivic homotopy category. (Joint with Jeremiah Heller.)

3.II.16: Another

*K*-group research project is on the arXiv: Injectivity and surjectivity of the Dress map by Ricardo Rojas-Echenique. You can read more about Ricardo's project in this blog post. 31.V.16: Now published in JPAA!

23.I.16: Slides from my Paideia course on mountain trail running (and an accompanying blog post).

2.XI.15: Blog post on Thornton's theorem.

28.X.15: My student, Riley Thornton, wrote up his

*K*-group research project: The homogeneous spectrum of Milnor-Witt

*K*-theory. 4.V.16: Now published in Journal of Algebra!

3.IX.15: Steve Bleiler, Angélica Osorno, and I are organizing the 55th Cascade Topology Seminar to be held at Portland State University, November 7-8.

13.IV.15: Course announcement for Fall 2015: Knot Theory, Knot Practice.

13.I.15: On Tuesday, January 20, I'm teaching the Paideia course How to print a knot in Physics 123 from 4 to 6pm. You can find my sage code for generating STL files here. Examples: unknot, trefoil, figure eight. (View and manipulate STL files with MakerBot Desktop, meshlab, or blender.)

8.I.15: I'm running The

*K*-group this summer, July 6 - August 28. Applications are due March 31.

6.I.15: New Paper [arXiv] on cooperations in topological modular forms (joint with Mark Behrens, Nat Stapleton, and Vesna Stojanoska).

23.XII.14: Angélica Osorno and I are hosting a conference on equivariant and motivic homotopy theory.

21.I.14: New Paper [arXiv] on Galois equivariance and stable motivic homotopy theory (joint with Jeremiah Heller). 12.II.16: Now published in

*Transactions of the AMS*.

14.X.13: New Paper [arXiv] on stable motivic π

_{1}(joint with Paul Arne Østvær). 14.VIII.14: Now published in

*Advances in Mathematics*.

21.II.13: I recently gave a talk for undergraduates about motivic homotopy theory. You can find slides and more here.

1.XI.12: New Paper [arXiv] on level structures and the

*K(2)*-local sphere at

*p*= 2 (joint with Mark Behrens). 7.XI.16:Now published in

*Algebraic & Geometric Topology*.

Updated April 2017.