About me

Writing

• The cyclic Deligne conjecture and Calabi-Yau structures (joint with C. Brav)
• Connections on moduli spaces and infinitesimal Hecke modifications
• Derived Mackey functors and C_{p^n}-equivariant cohomology (joint with D. Ayala and A. Mazel-Gee)
• Automorphic functions as the trace of Frobenius (joint with D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, and Y. Varshavsky)
• Duality for automorphic sheaves with nilpotent singular support (joint with D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, and Y. Varshavsky)
• The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support (joint with D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, and Y. Varshavsky)
• A toy model for the Drinfeld-Lafforgue shtuka construction (joint with D. Gaitsgory, D. Kazhdan, and Y. Varshavsky)
• Stratified noncommutative geometry (joint with D. Ayala and A. Mazel-Gee)
• A naive approach to cyclotomic spectra (joint with D. Ayala and A. Mazel-Gee)
• Factorization homology of enriched ∞-categories (joint with D. Ayala and A. Mazel-Gee)
• Geometry of the cyclotomic trace (joint with D. Ayala and A. Mazel-Gee)
• Gaiotto's Lagrangian subvarieties via derived symplectic geometry (joint with V. Ginzburg)
• Factorization homology I: Higher categories (joint with D. Ayala and J. Francis)
• A stratified homotopy hypothesis (joint with D. Ayala and J. Francis)
• Crystals and D-modules (joint with D. Gaitsgory)
• DG Indschemes (joint with D. Gaitsgory)
• Modules Over a Chiral Algebra

Notes/Talks