Yajnaseni Dutta

Research Interest: Birational geometry, Hyperkähler geometry, generic vanishing theory, Hodge modules and Hodge theory.

• Relative compactified Prym and Picard fibrations associated to very good cubic fourfolds with Lisa Marquand. To appear in Proceedings of the American Mathematical Society.
• Twists of intermediate Jacobian fibrations with Dominique Mattei and Evgeny Shinder.
• Some density results for hyperkähler manifolds with Elham Izadi, Ljudmila Kamenova and Lisa Marquand. To appear in Mathematical Research Letters.
• On symplectic birational self-maps of projective hyperkähler manifolds of K$\mathrm{3^[n]}$-type. with Dominique Mattei. and Yulieth Prieto-Montañez, International Mathematics Research Notices vol. 5 (2024). DOI
• Maximal variation of curves on K3 surfaces with Daniel Huybrechts. Tunisian journal of Mathematics. vol. 4, no. 3. (2022)DOI
• Generic Vanishing, 1-forms, and Topology of Albanese Maps. with Feng Hao and Yongqiang Liu. Math. Zeitschrift. Volume 306, no. 56, (2024) DOI
• 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

Other notes

Céline Fietz; PhD candidate, University of Leiden; Dec 2023 --, coadivsor: Evgeny Shinder

Jorge Macein Sanz; masters, University of Leiden, April 2025 -- coadivsor: Emma Brakkee

Céline Fietz; masters, University of Bonn; Oct 2022 - Oct 2023. Thesis. coadivsor: Evgeny Shinder.

Lucio Verrijzer; Bachelor Thesis, University of Leiden; Feb - June, 2024. Thesis.

• Complex Analysis Oberwolfach Workshop, Apr.\ 5-10, 2026.
• 15th Swiss-French Workshop in Algebraic Geometry Charmey, Jan.\ 12-16, 2026.
• Summer Institute in Algebraic Geometry, participating Jul 20 - Aug 2, 2025
• D-modules in Bochum, March 5-7, 2025

• (Leiden) Autumn 2025: Instructor: Algebraic Curves
• CURRENT: (Leiden) Spring 2025: Co-instructor (with de Smit): Representation Theory
• (mastermath/VU) Autumn 2024: Co-instructor (with Brakkee): Advanced Algebraic Geometry (mastermath): Moduli of sheaves.
• (LUC) Spring 2024 (Q4): Co-instructor (with Akeyr, Capannoli, Logothetis, van Cleemput): Mathematical Reasoning at Leiden University College
• (Leiden) Autumn 2023: Co-instructor (with Herr): Algebraic Curves
• (Bonn) Winter 2022-23 & Sommer 23: Teaching Assistant: Algebraic Geometry 1 & 2 and Hauptseminar Algebra: Klassische Algebraische Geometrie.
• (Bonn) Wintersemester 2021-22: V5A4 Selected Topics in Algebraic Geometry: Moduli of vector bundles.
• (Bonn) 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.

• Lorentz workshop, K3 surfaces & friends: Brauer groups and moduli, 30 June - 4 July 2025 (with E. Brakkee, R. van Luijk, and E. Shinder). Questions from the open questions session of the conference.
• Informal Preprint Seminar (Pancakes), Fall 24 at University of Leiden (with D. Lilienfeldt).
• Hodge theory in Leiden, A Conference in Honour of Chris Peters' 75th Birthday. Sep 5-6, 2024 (with E. Brakkee, R. van Luijk, and E. Sertöz).
• Intercity Reading Seminar on the integral Hodge conjecture for two-dimensional Calabi-Yau categories after Perry (with I. Barros and E. Brakkee)..
• Mini-symposium: around hyperkählers and K3s, Dec 6, 2023 at Leiden University
• Informal Preprint Seminar, Winter 22-23 at University of Bonn (with E. Shinder).
• GROW@Bonn, a conference aimed at women, non-binary and gender diverse undergraduate students who may be interested in learning about opportunities of graduate degree in the mathematical sciences (started with P. Belmans, B. Heuer, A. Ray, and E. Reinecke)..
• Informal Preprint Seminar at University of Bonn
• Hodge Theory and Singularities learning seminar at KU Leuven (with H. Feng)..