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BIO
Professor Dan’s research areas include algebraic geometry, Hodge theory and singularity theory. He has worked on prominent open problems in these areas, notably on special cases of the (variational) Hodge conjecture. Broadly speaking, he studies the topology of various geometric objects and how it behaves when he deforms them. His Orcid ID is 0000-0001-8567-7309. He has received funding from FAPESP, CNPq, and LMS. He was a postdoctoral fellow at the Basque Centre for Applied Mathematics, Spain, under Prof. Javier F. de Bobadilla, and at the University of Sheffield, U.K., funded by ERC and EPSRC grants, respectively. He also did research stays at IMPA, Brazil, and TIFR, India. He earned his PhD at Humboldt Universität zu Berlin, Germany, funded by a DFG grant.
Besides pure mathematics, he is also interested in theoretical computer science. He has supervised an FDP on a particular NP complete problem.
Education
PhD in Pure Mathematics from Humboldt Universität zu Berlin, Germany (2015)
MSc in Pure Mathematics from Humboldt Universität zu Berlin, Germany (2009)
BSc in Mathematics and Computer Science from Chennai Mathematical Institute, India (2007)
Research Interests
Algebraic geometry, Hodge theory, Moduli space of semi-stable sheaves and Higgs bundles, Singularity theory
Career
Research Associate at the University of Sheffield, U.K., from December 2020 to August 2023
Visiting Researcher at the Tata Institute of Fundamental Research, India, from February 2020 to September 2020
Postdoctoral Fellow at the Basque Centre for Applied Mathematics, Spain, from September 2016 to December 2019
Visiting Researcher at the Instituto Nacional de Matemática Pura e Aplicada, Brazil, from March 2019 to June 2019
Publications in Scientific Journals
Dan, Ananyo; Kaur, Inder: “Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve”, Annali di Matematica Pura ed Applicata, 201 (6), 2907–2926, 2022.
Dan, Ananyo; Kaur, Inder: “Generalization of a conjecture of Mumford”, Advances in Mathematics, 383, Art. 107676, 2021.
Dan, Ananyo: “On a conjecture of Harris”, Communications in Contemporary Mathematics, 23 (7), Art. 2050028, 2020.
Dan, Ananyo; Kaur, Inder: “Néron models of intermediate Jacobians associated to moduli spaces ”, Revista Matemática Complutense, 33(3), 885–910, 2019.
Basu, Suratno, Dan, Ananyo; Kaur, Inder: “Degeneration of Intermediate Jacobians and the Torelli theorem”, Documenta Mathematica, 24, 1739–1767, 2019.
Otros profesores
