Nick Rozenblyum
University of Toronto
Department of Mathematics
Email: nick [at] math [dot] utoronto [dot] ca
Office: Bahen Centre, BA 6110
I am an Associate Professor at the University of Toronto.
I am interested in algebraic geometry and topology, particularly in
algebraic geometric and homotopical structures arising from topological quantum field theory
and representation theory.
Writing
A study in derived algebraic geometry (book joint with D. Gaitsgory)
Volume I: Correspondences and duality
Volume II: Deformations, Lie theory and formal geometry
Proof of the geometric Langlands conjecture
Symmetries of the cyclic nerve (joint with D. Ayala and A. Mazel-Gee)
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, J. Francis, 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
Filtered colimits of ∞-categories
Introduction to chiral algebras