Arghan Dutta
Graduate Student, Department of Mathematics and Statistics
University of Massachusetts Amherst, Amherst MA 01003, USA
Office : 1235B, Lederle Graduate Research Tower
Contact : arghandutta (at) umass (dot) edu
The Cat(egory) Whisperer (under construction)
I am working in the area of higher category theory and categorical homotopy theory with Martina Rovelli.
Education
- University of Massachusetts Amherst, USA
Doctor of Philosophy (2024 -- present)
- Indian Institute of Science, India
Master of Science (2021 -- 2024)
Thesis : Higher categories of n-bordisms advised by Siddhartha Gadgil
- University of Calcutta, India
Bachelor of Science (2017 -- 2020)
Research
- The Morita (∞,2)-category of a monoidal category as a 2-complicial set, with S. Luneia, M. Rovelli, and S. Silver, 2025 : arXiv
Conferences and Workshops
- International Category Theory Conference CT2025, Masaryk University, Brno, Czech Republic
- Midwest Topology Seminar 2025, University of Notre Dame, USA
- Dame Kathleen Ollerenshaw Annual Workshop on Categorical Logic and Higher Categories, University of Manchester, UK
- Young Homotopy Theorists Online Meeting, organized by Julie Rasmusen, University of Warwick and Torgeir Aambø, Norwegian University
- Applied Category Theory, 6th International Conference, attended online, University of Maryland, College Park, Maryland, USA
- Dualities in Topology and Geometry, International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, India
- National Seminar and Conference on Contemporary Research in Theoretical and Applicable Mathematics, The Bhawanipur Education Society College, Kolkata, India
Expositions and Notes
- A∞ operads and May's recognition principle [pdf]
- Bousfield Friedlander theorem [pdf]
- Smith's recognition lemma [pdf]
- An introduction to the category theory of Segal types [pdf] [slides]
- On the existence and uniqueness of Haar measure in locally compact topological groups [pdf]