I am a 5th year PhD student of Clark Barwick, interested in homotopy theory, higher category theory, and algebraic K-theory. Thus far, my research has been concentrated on parameterized higher category theory and the homotopy theory of spectral Mackey functors.
Email address: jshah@mit.edu.
CV.
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.
Parametrized higher category theory. Slides for my talk at the MIT Topology seminar.