PROMOTION
Ajay Ramadoss - Mathematics
TENURE AND PROMOTION GUIDELINES
Mathematics Department Tenure and Promotion Guidelines
College of Arts and Sciences Promotion Guidelines
Curriculum vitae
Curriculum Vitae
PAPERS AND ANNOTATED BIBLIOGRAPHY
Annotated Bibliography
PUBLISHED PAPERS
Vanishing theorems for representation homology and the derived cotangent complex, Algebraic & Geometric Topology 19 (2019), no. 1, 281-339 (with Yu. Berest and W.-K. Yeung).
Representation homology of topological spaces, International Mathematics Research Notices IMRN 2022, no. 6, 4093-4180 (with Yu. Berest and W.-K. Yeung).
Representation homology of simply connected spaces, Journal of Topology 15 (2022), no. 2, 692-744 (with Yu. Berest and W.-K. Yeung).
Symmetric homology and representation homology, Transactions of the American Mathematical Society 376 (2023), no. 9, 6475-6496 (with Yu. Berest).
Derived character maps of group representations, to appear in Algebraic & Geometric Topology, arXiv:2210.01304 (with Yu. Berest).
Cyclic pairings and derived Poisson structures, New York Journal of Mathemetics 25 (2019), 1-44 (with Y. Zhang)
Hodge decomposition of string topology, Forum of Mathematics, Sigma 9 (2021), Paper No. e33, 31pp (with Yu. Berest and Y. Zhang)
Topological realization of algebras of quasi-invariants, I, Submitted preprint, 2023, arXiv:2305.10604 (with Yu. Berest).