Research Statement

You can find a brief research statement (4 pages) by clicking here.

Publications

• Fire Sales, the LOLR and Bank Runs with Continuous Asset Liquidity .

  j/w Ulrich Bindseil. To appear in the Journal of Financial Crises.

• Bilimits are Bifinal Objects .

  j/w Andrea Gagna and Yonatan Harpaz. To appear in the Journal of Pure and Applied Algebra.

• On the Equivalence of all Models for (∞,2)-Categories.

  j/w Andrea Gagna and Yonatan Harpaz. To appear in the Journal of the London Mathematical Society.

• Rectification of Interleavings and a Persistent Whitehead Theorem.

  j/w Luis Scoccola. To appear on Algebraic & Geometric Topology.

• Gray tensor products and lax functors of (∞,2)-categories.

  j/w Andrea Gagna and Yonatan Harpaz. To appear in Advances in Mathematics.

• Cartesian factorization systems and pointed cartesian fibrations of ∞-categories.

  To appear in Higher Structures.

• On truncated quasi-categories.

  j/w A.Campbell Cah. Topol. Géom. Différ. Catég.. Issue 2, 2020.

• Towards a globular path object for weak ∞-groupoids.

  Journal of Pure and Applied Algebra, Volume 224, Issue 2, February 2020, Pages 630-702

Preprints

• Cartesian Fibrations of (∞,2)-categories .

  j/w Andrea Gagna and Yonatan Harpaz. Submitted for publication.

• Fibrations and Lax Limits of (∞,2)-Categories .

  j/w Andrea Gagna and Yonatan Harpaz. Submitted for publication.

• On the Homotopy Hypothesis in Dimension 3.

  j/w Simon Henry. Submitted for publication.

• A Semi-Model Structure for Grothendieck Weak 3-Groupoids.

  Submitted for publication.

Ph.D. thesis

• Homotopy theory of Grothendieck Weak ∞-Groupoids and ∞-Categories.

  Doctoral dissertation, Nov 2018.

Master thesis

• Compatibility of Homotopy Colimits and Homotopy Pullbacks of Simplicial Presheaves.

  Graduate dissertation, July 2015.