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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.