Yajnaseni Dutta

Endenicher Allee 60, 53115 Bonn
Office 3.003
E-mail: Y. Dutta
Tel.:+49-(0)228-73-62229

I am a Postdoc/associate member at the Hausdorff Center for Mathematics, Bonn. My postdoctoral mentor is Prof. Daniel Huybrechts. I graduated from Northwestern University with a PhD thesis written under the supervision of Prof. Mihnea Popa.

Research Interest

Birational geometry, Hyperkähler geometry, generic vanishing theory, Hodge modules and Hodge theory. Here is my CV.

Publications

• Maximal variation of curves on K3 surfaces. with Daniel Huybrechts. Preprint available at arXiv:2105.04787 [math.AG].
• Generic Vanishing and Holomorphic 1-forms. with Feng Hao and Yongqiang Liu. Preprint available at arXiv:2104.07074 [math.AG]. Submitted.
• Vanishing for Hodge ideals on toric varieties. Math. Nachr. 293 (2020), no. 1 (January). DOI
• Effective generation and twisted weak positivity of direct images. with Takumi Murayama (Dec 2017). Algebra and Number Theory, vol. 13, no. 2, 2019, DOI.
• On the effective freeness of the direct images of pluricanonical bundles.(Jan 2017) Annales de l'Institut Fourier, vol. 70, no. 4, 2020, DOI.
• Some Effective Problems in Algebraic Geometry and their Applications, PhD Thesis

Teaching

• Wintersemester 2021-22: V5A4 Selected Topics in Algebraic Geometry: Moduli of vector bundles.
• Wintersemester 2020-21: S4A1 Graduate Seminar in algebraic geometry: Jacobian of curves and abelian varieties.
• Past teaching assistant at Northwestern: Calculus I, II, III, Graph theory, Algebraic Topology I, Introduction to proofs etc.

Some notes

• Notes from my talk at the Bonn/Paris learning serminar on moduli of Hyperkaehler manifolds.
• Notes from my talk on D-modules in birational geometry - Short course, Univ. of Chicago, 2018
• Notes from my talk in the HPD learning seminar at Bonn. Semi orthogonal decomposition of $\mathrm{D^b(}{\mathcal{H}}_L)$. Supplemental notes computing the cohomology of ${\mathcal{H}}_L$

Teaching

• Sommersemester 2021: No teaching.
• Wintersemester 2020-21: S4A1 Graduate Seminar in algebraic geometry: Jacobian of curves and abelian varieties.
• Past teaching assistant at Northwestern: Calculus I, II, III, Graph theory, Algebraic Topology I, Introduction to proofs etc.

Seminars

• GROW@Bonn
• Informal Preprint Seminar
• Hodge Theory and Singularities