Devarshi Mukherjee

Dev Departamento de Matemática-IMAS
Facultad de Ciencias Exactas y Naturales
Universidad de Buenos Aires
Buenos Aires, Argentina
Email: dmukherjee (at) dm (dot) uba (dot) ar

I am a postdoc (DFG Eigenestelle) in the Topology Group at the Westfälische-Wilhelms-Universität Münster, where I am hosted by Thomas Nikolaus .
Previously, I was a Feodor-Lynen Postdoctoral Fellow at the University of Buenos Aires, hosted by Guillermo Cortiñas.
I completed my PhD at the University of Göttingen and the University of Copenhagen in 2020, under the supervision of Ralf Meyer and Ryszard Nest .

Research areas

Noncommutative geometry, K-theory, cyclic homology, derived geometry, bornological analysis, nonarchimedean geometry.

Publications and preprints

  1. Guillermo Cortiñas, Devarshi Mukherjee. A Quillen model structure of local homotopy equivalences. Theory and Applications of Categories 41 (2024) 268-287. link to pdf
  2. Alcides Buss, Luiz Felipe Garcia, Devarshi Mukherjee, Operator algebras over the p-adic integers , preprint (2024). link to pdf
  3. Devarshi Mukherjee, Homological algebra for nonarchimedean completions of group algebras , preprint (2023). link to pdf
  4. Devarshi Mukherjee, Nonarchimedean bivariant K-theory, J. Noncommut. Geom. (2024), pp. 1–48, DOI 10.4171/JNCG/562. link to pdf
  5. Ralf Meyer and Devarshi Mukherjee, Analytic cyclic homology in positive characteristic.
    Annals of K-theory (2023) 379–419, DOI 10.2140/akt.2023.8.379. link to pdf
  6. Jack Kelly, Kobi Kremnizer, Devarshi Mukherjee, An analytic Hochschild-Kostant-Rosenberg Theorem,
    Advances in Mathematics, 2022. link to pdf
  7. Ralf Meyer, Devarshi Mukherjee, Local cyclic homology for nonarchimedean Banach algebras,
    Cyclic Cohomology at 40: Achievements and Future Prospects, 105 (2023): 281, Proceedings of Symposia in Pure Mathematics, American Mathematical Society. link to pdf
  8. Oren Ben-Bassat and Devarshi Mukherjee, Analytifications, localisation and homotopy epimorphisms.
    Bull. Sci. Math. 176, 2022 link to pdf
  9. Devarshi Mukherjee, Topological Invariants for Non-Archimedean Bornological Algebras,
    PhD Thesis, Universität Göttingen, 2020. link to pdf
  10. Guillermo Cortiñas, Ralf Meyer, Devarshi Mukherjee, Nonarchimedean analytic cyclic homology,
    Documenta Mathematica 25, 1353-1419, 2020. link to pdf
  11. Ralf Meyer, Devarshi Mukherjee, Dagger completions and bornological torsion freeness,
    Quarterly Journal of Mathematics, Oxford Series (2), 2019. link to pdf
  12. Ralf Meyer, Devarshi Mukherjee, C*-Algebras for partial product systems over N.
    Journal of Operator Theory, 81, 371-405, 2019. link to pdf

Teaching

  1. Other approaches to functional analysis - bornologies and condensed mathematics, First semester, 2023
  2. Seminar on infinity categories (organiser), University of Buenos Aires, Second semester, 2022.
  3. Cyclic homology, University of Buenos Aires, Second semester, 2022 - course page.
  4. Mathematics for Computer Scientists (Teaching Assistant), Universität Göttingen, Winter Semester, 2021-22.
  5. Category Theory in Context (Teaching Assistant), Universität Göttingen, Winter Semester, 2021-22.
  6. Homological algebra, Universität Göttingen, Summer Semester, 2021.
  7. Algebraic geometry (Teaching Assistant), Universität Göttingen, Winter Semester, 2020-21.
  8. Analysis of partial differential equations II - pseudodifferential operators (Teaching Assistant), Universität Göttingen, Summer Semester, 2020.
  9. Category Theory in Context (Teaching Assistant), Universität Göttingen, Summer Semester, 2020.
  10. Differential manifolds: foundations of differential geometry (Teaching Assistant), Universität Göttingen, Winter Semester, 2019-20.
  11. Algebraic geometry (Teaching Assistant), Universität Göttingen, Summer semester, 2019.
  12. Noncommutative geometry I - C*-algebras (Teaching Assistant), Universität Göttingen, Winter Semester, 2018-19
  13. Functional analysis (Teaching Assistant), Universität Göttingen, Summer Semester, 2018.
  14. Analysis on manifolds (Teaching Assistant), Universität Göttingen, Winter Semester 2017-18.

Talks at seminars and conferences

  1. UBA-CAECE Algebra meeting, Buenos Aires, 2023
  2. Functional Analysis Seminar, University of Hamburg, 2023
  3. North Atlantic Noncommutative Geometry Seminar, IMPAN, Warsaw (online), 2023.
  4. Homological algebra seminar, University of Buenos Aires, Argentina, 2022.
  5. Annual Conference of the Argentine Mathematical Society, Neuquen, Argentina, 2022.
  6. Workshop on Non-commutative Geometry and cyclic homology, Mathematisches Forschungsinstitut Oberwolfach, 2022. South Atlantic Noncommutative Geometry Seminar, Universidad de Buenos Aires, 2022. Video link.
  7. South Atlantic Noncommutative Geometry Seminar, Universidad de Buenos Aires, 2022. Video link.
  8. Young Mathematicians in C*-algebras, Universität Münster, 2021.
  9. Geometry and Topology Seminar, University of Haifa (online), 2021.
  10. Analysis Seminar, University of Glasgow (online), 2021.
  11. Webinars on Operator Theory and Operator Algebras, Indian Statistical Institute - Kolkata (online), 2020. Video link.
  12. Oberseminar in Non-commutative Geometry, Universität Göttingen (online), 2020.
  13. North Atlantic Noncommutative Geometry Seminar, IMPAN, Warsaw (online), 2020. Video link .
  14. Workshop on Non-commutative geometry and cyclic homology (short talk), Mathematisches Forschungsinstitut Oberwolfach, 2020.
  15. Operator algebra seminar, University of Copenhagen, 2019.
  16. Invited lecture, Tata Institute of Fundamental Research, Mumbai, 2019.
  17. New geometries in quantum dynamics, Fields Institute, Toronto, 2019.
  18. Facets of Irreversibility, University of Oslo, Norway, 2017.