Donu Arapura
Mathematics · Purdue University West Lafayette
Publications
135
Citations
751
Est. group size
—
Recurring co-author estimate
Active years
41
Publishing since 1986
Donu Arapura works in algebraic geometry, a branch of mathematics studying shapes defined by polynomial equations, with a focus on Hodge theory (tools that use complex analysis to understand the structure of algebraic varieties) and related topics like perverse sheaves and moduli spaces (spaces that parametrize families of geometric objects such as curves or vector bundles). Much of the recent work concerns Euler characteristics, singularities, and cohomological invariants of complex algebraic varieties and their fundamental groups. This research is highly theoretical and connects to number theory and complex geometry.
Publication output has fluctuated over the past decade but shows a notable increase in the most recent years (2025-2026) compared to a slower period around 2019-2021.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Failure of the invariant cycle theorem over $\mathbb Z$
Open MIND · 2026
- Failure of the invariant cycle theorem over $\mathbb Z$
arXiv (Cornell University) · 2026
- Nonnegativity of signed Euler characteristics of moduli of curves and abelian varieties
Mathematische Annalen · 2026
- Perverse sheaves on varieties with large fundamental groups
Journal of Differential Geometry · 2025
- Hodge-theoretic variants of the Hopf and Singer conjectures
Contemporary mathematics - American Mathematical Society · 2025
- Universal Chern classes on the moduli of bundles
arXiv (Cornell University) · 2025
- Euler characteristics of Kollár-hyperbolic varieties
arXiv (Cornell University) · 2025
- Universal Chern Classes on the Moduli of Bundles
Cambridge University Press eBooks · 2025
- Equivariant Hodge Modules and Rational Singularities
The Michigan Mathematical Journal · 2025
- Euler Characteristics of Aspherical Kähler Manifolds
2025
- Nonnegativity of signed Euler characteristics of moduli of curves and abelian varieties
arXiv (Cornell University) · 2024
- Differential Forms and Hodge Structures on Singular Varieties
arXiv (Cornell University) · 2024
- A Kawamata–Viehweg type formulation of the logarithmic Akizuki–Nakano vanishing theorem
Mathematische Zeitschrift · 2023
- Hodge-theoretic variants of the Hopf and Singer Conjectures
arXiv (Cornell University) · 2023
- Motivic sheaves revisited
Journal of Pure and Applied Algebra · 2022
- arXiv (Cornell University)×18
- Mathematische Zeitschrift×2
- Cambridge University Press eBooks×2
- Journal of Pure and Applied Algebra×1
- Journal of Differential Geometry×1
- Herbert Clemens
Mathematics · The Ohio State University
- Hsian‐Hua Tseng
Mathematics · The Ohio State University
- Deepam Patel
Mathematics · Purdue University West Lafayette
- Chenyang Xu
Mathematics · Purdue University West Lafayette
- Sai-Kee Yeung
Mathematics · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
Claim or correct this profile