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 in the Noncommutative Geometry Group at the University of Buenos Aires, where I am hosted by Guillermo Cortiñas.
My position is funded by a Feodor-Lynen Fellowship of the Alexander von Humboldt Foundation.
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. Devarshi Mukherjee, Nonarchimedean bivariant K-theory, preprint (2022). link to pdf
  2. Guillermo Cortiñas, Devarshi Mukherjee, A Quillen model structure of local homotopy equivalences, preprint (2022). link to pdf
  3. Jack Kelly, Kobi Kremnizer, Devarshi Mukherjee, An analytic Hochschild-Kostant-Rosenberg Theorem,
    accepted at Advances in Mathematics, 2022. link to pdf
  4. Ralf Meyer, Devarshi Mukherjee, Local cyclic homology for nonarchimedean Banach algebras,
    accepted at Proceedings of Symposia in Pure Mathematics, American Mathematical Society, 2022. link to pdf
  5. Oren Ben-Bassat and Devarshi Mukherjee, Analytifications, localisation and homotopy epimorphisms.
    Bull. Sci. Math. 176, 2022 link to pdf
  6. Ralf Meyer and Devarshi Mukherjee, Analytic cyclic homology in positive characteristic.
    preprint (2021). link to pdf
  7. Devarshi Mukherjee, Topological Invariants for Non-Archimedean Bornological Algebras,
    PhD Thesis, Universität Göttingen, 2020. link to pdf
  8. Guillermo Cortiñas, Ralf Meyer, Devarshi Mukherjee, Nonarchimedean analytic cyclic homology,
    Documenta Mathematica 25, 1353-1419, 2020. link to pdf
  9. Ralf Meyer, Devarshi Mukherjee, Dagger completions and bornological torsion freeness,
    Quarterly Journal of Mathematics, Oxford Series (2), 2019. link to pdf
  10. 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. Seminar on infinity categories (organiser), University of Buenos Aires, Second semester, 2022.
  2. Cyclic homology, University of Buenos Aires, Second semester, 2022 - course page.
  3. Mathematics for Computer Scientists (Teaching Assistant), Universität Göttingen, Winter Semester, 2021-22.
  4. Category Theory in Context (Teaching Assistant), Universität Göttingen, Winter Semester, 2021-22.
  5. Homological algebra, Universität Göttingen, Summer Semester, 2021.
  6. Algebraic geometry (Teaching Assistant), Universität Göttingen, Winter Semester, 2020-21.
  7. Analysis of partial differential equations II - pseudodifferential operators (Teaching Assistant), Universität Göttingen, Summer Semester, 2020.
  8. Category Theory in Context (Teaching Assistant), Universität Göttingen, Summer Semester, 2020.
  9. Differential manifolds: foundations of differential geometry (Teaching Assistant), Universität Göttingen, Winter Semester, 2019-20.
  10. Algebraic geometry (Teaching Assistant), Universität Göttingen, Summer semester, 2019.
  11. Noncommutative geometry I - C*-algebras (Teaching Assistant), Universität Göttingen, Winter Semester, 2018-19
  12. Functional analysis (Teaching Assistant), Universität Göttingen, Summer Semester, 2018.
  13. Analysis on manifolds (Teaching Assistant), Universität Göttingen, Winter Semester 2017-18.

Talks at seminars and conferences

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