Devarshi Mukherjee

Dev Department of Mathematics and Computer Science
University of Münster
Münster, Germany
Email: dmukherjee (at) dm (dot) uba (dot) ar

I am a postdoc (DFG Eigenestelle) in the Topology Group at 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

Derived (analytic) geometry, noncommutative geometry, K-theory, functional analysis using bornologies and condensed mathematics.

Publications and preprints

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

Teaching and seminars

  1. Seminar on the Rosenberg Conjectures, Winter semester, 2024
  2. Other approaches to functional analysis - bornologies and condensed mathematics, First semester, 2023
  3. Seminar on infinity categories (organiser), University of Buenos Aires, Second semester, 2022.
  4. Cyclic homology, University of Buenos Aires, Second semester, 2022 - course page.
  5. Mathematics for Computer Scientists (Teaching Assistant), Universität Göttingen, Winter Semester, 2021-22.
  6. Category Theory in Context (Teaching Assistant), Universität Göttingen, Winter Semester, 2021-22.
  7. Homological algebra, Universität Göttingen, Summer Semester, 2021.
  8. Algebraic geometry (Teaching Assistant), Universität Göttingen, Winter Semester, 2020-21.
  9. Analysis of partial differential equations II - pseudodifferential operators (Teaching Assistant), Universität Göttingen, Summer Semester, 2020.
  10. Category Theory in Context (Teaching Assistant), Universität Göttingen, Summer Semester, 2020.
  11. Differential manifolds: foundations of differential geometry (Teaching Assistant), Universität Göttingen, Winter Semester, 2019-20.
  12. Algebraic geometry (Teaching Assistant), Universität Göttingen, Summer semester, 2019.
  13. Noncommutative geometry I - C*-algebras (Teaching Assistant), Universität Göttingen, Winter Semester, 2018-19
  14. Functional analysis (Teaching Assistant), Universität Göttingen, Summer Semester, 2018.
  15. Analysis on manifolds (Teaching Assistant), Universität Göttingen, Winter Semester 2017-18.