Mihnea Cristian Popa

Geometry and Topology · 2000–2021

A researcher in the Science corpus: 19 papers; trusts 30 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 97 citations into it; #1,144 of 7,422 by trust here, #449 by citations
• Mathematical Physics — 52 citations into it; #2,134 of 8,562 by trust here, #1,071 by citations
• Algebra and Number Theory — 33 citations into it; #928 of 2,864 by trust here, #420 by citations
• Applied Mathematics — 20 citations into it; #5,190 of 7,620 by trust here, #2,098 by citations
• Computational Theory and Mathematics — 13 citations into it; #5,193 of 12,182 by trust here, #4,531 by citations
• Statistical and Nonlinear Physics — 8 citations into it; #8,429 of 10,127 by trust here, #7,402 by citations
• Theoretical Computer Science — 6 citations into it

Whom Mihnea Cristian Popa trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Giuseppe Pareschi
2. R. Lazarsfeld
3. Christopher D. Hacon
4. C. Schnell
5. J. Kollár
6. K. Zuo
7. E. Viehweg
8. Masaki Kashiwara
9. A. Libgober
10. D. Arinkin

Who trusts Mihnea Cristian Popa overall

1. C. Schnell
2. M. Mustaţă
3. A. Marian
4. Nero Budur
5. Giuseppe Pareschi
6. G. Farkas
7. Junyan Cao
8. David Jensen
9. Christopher D. Hacon
10. Christopher Woodward

Papers from Mihnea Cristian Popa's perspective

Ordered by how strongly the researchers Mihnea Cristian Popa trusts endorse each paper. Same corpus, a different order for every researcher.

1. Varieties fibered by good minimal models
2. Book Review: Positivity in algebraic geometry. I--II
3. On the negativity of kernels of Kodaira–Spencer maps on Hodge bundles and applications
4. Syzygies of abelian varieties
5. Positivity of twisted relative pluricanonical bundles and their direct images
6. A proof of the Ohsawa–Takegoshi theorem with sharp estimates
7. Zariski-decomposition and abundance
8. Ohsawa-Takegoshi Extension Theorem for Compact Kähler Manifolds and Applications
9. On direct images of pluricanonical bundles
10. Kodaira dimension of algebraic fiber spaces over abelian varieties (Inventiones Mathematicae)

Their papers

• Effective divisors on \bar{M}_g, curves on K3 surfaces and the Slope Conjecture (2003) — 138 citations
• Regularity on abelian varieties I (2001) — 154 citations
• The Du Bois complex of a hypersurface and the minimal exponent (2021) — 47 citations
• Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension (2021) — 49 citations
• HODGE IDEALS FOR $\mathbb{Q}$-DIVISORS, $V$-FILTRATION, AND MINIMAL EXPONENT (2018) — 55 citations
• Algebraic Geometry: Salt Lake City 2015 (2018) — 224 citations
• Hodge Ideals (2016) — 57 citations
• Algebraic fiber spaces over abelian varieties: around a recent theorem by Cao and Paun (2016) — 109 citations
• Viehweg’s hyperbolicity conjecture for families with maximal variation (2015) — 59 citations
• On direct images of pluricanonical bundles (2014) — 51 citations
• Kodaira dimension and zeros of holomorphic one-forms (2012) — 52 citations
• GENERIC VANISHING THEORY VIA MIXED HODGE MODULES (2011) — 56 citations
• Strong generic vanishing and a higher-dimensional Castelnuovo–de Franchis inequality (2008) — 61 citations
• Regularity on Abelian Varieties III: Relationship with Generic Vanishing and Applications (2008) — 85 citations
• Restricted volumes and base loci of linear series (2006) — 193 citations
• GV-sheaves, Fourier-Mukai transform, and generic vanishing (2006) — 114 citations
• Divisors on Mg,g+1 and the minimal resolution conjecture for points on canonical curves (2003) — 53 citations
• Regularity on abelian varieties II: Basic results on linear series and defining equations (2001) — 60 citations
• Stable maps and Quot schemes (2000) — 59 citations