My research broadly lies in category theory and algebraic geometry with a particular focus on enriched category theory, coalgebraic structures, DG-categories, tensor triangulated structures and absolute algebraic geometry (algebraic geometry over more general algebraic structures than commutative rings, like for example, monoids and semirings). Here is a list of my works:
(1) The topological shadow of F1-geometry: congruence spaces (with Oliver Lorscheid), Mathematische Zeitschrift Vol. 306, No. 2, 30 (2024).
(2) Categories of modules, comodules and contramodules over representations (with Mamta Balodi and Abhishek Banerjee), Forum Mathematicum Vol. 36, No.1, 111–152 (2023).
(3) Noncommutative tensor triangulated categories and coherent frames (with Vivek Mohan Mallick), Comptes Rendus Mathematique Vol. 361, 1415–1427 (2023).
(4) Lattices, Spectral spaces, and Closure operations on idempotent semirings (with Jaiung Jun and Jeffery Tolliver), Journal of Algebra Vol.594 (2022), 313-363.
(5) On entwined modules over linear categories (with Abhishek Banerjee and Mamta Balodi), Israel Journal of Mathematics Vol. 241 (2021), 623–692.
(6) Cohomology of modules over H-categories and co-H-categories (with Abhishek Banerjee and Mamta Balodi), Canadian Journal of Mathematics Vol. 72 (2020), Issue 5, 1352-1385.
(7) Closure operations, Continuous valuations on monoids and Spectral spaces, Journal of Algebra and Its Applications Vol. 19 (2020), no. 01, 2050006.
(8) A Gabber type result for representations in Eilenberg-Moore categories (with Divya Ahuja, Abhishek Banerjee and Surjeet Kour), Journal of Algebra Vol. 695 (2026), 122-172.
(1) DG-categories and relative Hopf modules (with Julia Plavnik)