# Jay Shah

I am currently a Visiting Assistant Professor at the University of Notre Dame. I completed my PhD in 2017 at MIT under the direction of Clark Barwick.

**Research interests:** Algebraic topology, (equivariant) homotopy theory, (parameterized) higher category theory, algebraic K-theory.

**Email address:** jshah3@nd.edu.

**Office: ** 106 Hayes-Healy.

**CV**.

### Papers:

Parametrized higher category theory. My PhD thesis.

Parametrized higher category theory and higher algebra: Exposé II -- Parameterized limits and colimits. In preparation. This will be a modified version of my thesis.

Categorifying rationalization, with Clark Barwick, Saul Glasman, Marc Hoyois, and Denis Nardin. October 2016.

Parametrized higher category theory and higher algebra: Exposé I -- Elements of parametrized higher category theory, with Clark Barwick, Emanuele Dotto, Saul Glasman, and Denis Nardin. August 2016.

Parametrized higher category theory and higher algebra: A general introduction, with Clark Barwick, Emanuele Dotto, Saul Glasman, and Denis Nardin. August 2016.

Fibrations in ∞-category theory, with Clark Barwick. August 2016.

Spectral Mackey functors and equivariant algebraic K-theory, II, with Clark Barwick and Saul Glasman. March 2016.

### Slides:

Parametrized higher category theory. Slides for my talk at the MIT Topology seminar.

The theory of spectral Mackey functors. Slides for my talk at the 2017 YTM in Stockholm.