writing

1. A study in derived algebraic geometry

   book with D. Gaitsgory

   Volume ICorrespondences and duality Volume IIDeformations, Lie theory and formal geometry

   ---

2. Nullhomotopic knots are determined by their complements

   with A. Daemi and C. Manolescu

3. Undecidability problems for semifree DG algebras

   with C. Manolescu

4. Applications of (higher) categorical trace II: Deligne-Lusztig theory

   with D. Gaitsgory and Y. Varshavsky

5. Applications of (higher) categorical trace I: the definition of AGCat

   with D. Gaitsgory and Y. Varshavsky

6. Proof of the geometric Langlands conjecture IV: ambidexterity

   with D. Arinkin, D. Beraldo, L. Chen, J. Faergeman, D. Gaitsgory, K. Lin, and S. Raskin

7. Appendices to Proof of the geometric Langlands conjecture III: compatibility with parabolic induction

   with J. Campbell, L. Chen, J. Faergeman, D. Gaitsgory, K. Lin, and S. Raskin

8. Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE

   with D. Arinkin, D. Beraldo, L. Chen, J. Faergeman, D. Gaitsgory, K. Lin, and S. Raskin; with appendices joint with J. Campbell, L. Chen, D. Gaitsgory, K. Lin, and S. Raskin

9. Symmetries of the cyclic nerve

   with D. Ayala and A. Mazel-Gee

10. The cyclic Deligne conjecture and Calabi-Yau structures

    with C. Brav

11. Connections on moduli spaces and infinitesimal Hecke modifications

12. Derived Mackey functors and C_pⁿ-equivariant cohomology

    with D. Ayala and A. Mazel-Gee

13. Automorphic functions as the trace of Frobenius

    with D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, and Y. Varshavsky

14. Duality for automorphic sheaves with nilpotent singular support

    with D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, and Y. Varshavsky

15. The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support

    with D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, and Y. Varshavsky

16. A toy model for the Drinfeld-Lafforgue shtuka construction

    with D. Gaitsgory, D. Kazhdan, and Y. Varshavsky

17. Stratified noncommutative geometry

    with D. Ayala and A. Mazel-Gee

18. A naive approach to cyclotomic spectra

    with D. Ayala and A. Mazel-Gee

19. Factorization homology of enriched ∞-categories

    with D. Ayala, J. Francis, and A. Mazel-Gee

20. Geometry of the cyclotomic trace

    with D. Ayala and A. Mazel-Gee

21. Gaiotto's Lagrangian subvarieties via derived symplectic geometry

    with V. Ginzburg

22. Factorization homology I: Higher categories

    with D. Ayala and J. Francis

23. A stratified homotopy hypothesis

    with D. Ayala and J. Francis

24. Crystals and D-modules

    with D. Gaitsgory

25. DG Indschemes

    with D. Gaitsgory

26. Modules Over a Chiral Algebra