# Mihnea Popa

#78,672

Most Influential Person Now

Romanian-American mathematician

## Mihnea Popa's AcademicInfluence.com Rankings

Mihnea Popamathematics Degrees

Mathematics

#4737

World Rank

#6714

Historical Rank

Algebraic Geometry

#125

World Rank

#132

Historical Rank

Measure Theory

#4162

World Rank

#4902

Historical Rank

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Mathematics

## Mihnea Popa's Degrees

- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics University of Bucharest

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## Why Is Mihnea Popa Influential?

(Suggest an Edit or Addition)According to Wikipedia, Mihnea Popa is a Romanian-American mathematician at Harvard University, specializing in algebraic geometry. He is known for his work on complex birational geometry, Hodge theory, abelian varieties, and vector bundles.

## Mihnea Popa's Published Works

### Published Works

- Asymptotic invariants of base loci (2003) (254)
- Restricted volumes and base loci of linear series (2006) (173)
- Effective divisors on \bar{M}_g, curves on K3 surfaces and the Slope Conjecture (2003) (136)
- Regularity on abelian varieties I (2001) (132)
- GV-sheaves, Fourier-Mukai transform, and generic vanishing (2006) (93)
- Algebraic fiber spaces over abelian varieties: around a recent theorem by Cao and Paun (2016) (89)
- Regularity on Abelian Varieties III: Relationship with Generic Vanishing and Applications (2008) (68)
- Spatial predicting of flood potential areas using novel hybridizations of fuzzy decision-making, bivariate statistics, and machine learning (2020) (64)
- Strong generic vanishing and a higher-dimensional Castelnuovo–de Franchis inequality (2008) (60)
- Regularity on abelian varieties II: Basic results on linear series and defining equations (2001) (52)
- Algebraic Geometry: Salt Lake City 2015 (2018) (48)
- Divisors on Mg,g+1 and the minimal resolution conjecture for points on canonical curves (2003) (48)
- On direct images of pluricanonical bundles (2014) (47)
- ASYMPTOTIC INVARIANTS OF LINE BUNDLES (2005) (46)
- Derivative complex, BGG correspondence, and numerical inequalities for compact Kähler manifolds (2009) (43)
- Viehweg’s hyperbolicity conjecture for families with maximal variation (2015) (43)
- Stable maps and Quot schemes (2000) (42)
- Kodaira dimension and zeros of holomorphic one-forms (2012) (40)
- Hodge ideals for Q-divisors, V-filtration, and minimal exponent (2018) (39)
- GENERIC VANISHING THEORY VIA MIXED HODGE MODULES (2011) (39)
- Generic vanishing and minimal cohomology classes on abelian varieties (2006) (35)
- On the base locus of the generalized theta divisor (1998) (34)
- Using GIS, Remote Sensing, and Machine Learning to Highlight the Correlation between the Land-Use/Land-Cover Changes and Flash-Flood Potential (2020) (34)
- Flood Hazard Mapping Using the Flood and Flash-Flood Potential Index in the Buzău River Catchment, Romania (2019) (33)
- Derived invariance of the number of holomorphic $1$-forms and vector fields (2009) (32)
- Hodge modules on complex tori and generic vanishing for compact Kähler manifolds (2015) (32)
- Hodge Ideals (2016) (32)
- New neural fuzzy-based machine learning ensemble for enhancing the prediction accuracy of flood susceptibility mapping (2020) (31)
- Local positivity, multiplier ideals, and syzygies of abelian varieties (2010) (30)
- Generalized theta linear series on moduli spaces of vector bundles on curves (2007) (29)
- Hodge ideals for Q-divisors I: birational approach (2018) (27)
- Castelnuovo theory and the geometric Schottky problem (2004) (25)
- M-regularity and the Fourier-Mukai Transform (2005) (21)
- Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves (2000) (21)
- Verlinde bundles and generalized theta linear series (2000) (20)
- Brody hyperbolicity of base spaces of certain families of varieties (2018) (20)
- Pushforwards of pluricanonical bundles under morphisms to abelian varieties (2017) (19)
- Hodge filtration, minimal exponent, and local vanishing (2019) (17)
- Weak positivity for Hodge modules (2015) (17)
- Kodaira-Saito vanishing and applications (2014) (16)
- Restriction, subadditivity, and semicontinuity theorems for Hodge ideals (2016) (15)
- Extension of sections via adjoint ideals (2008) (14)
- Derived equivalence and non-vanishing loci II (2013) (14)
- Generic vanishing filtration and perverse objects in derived categories of coherent sheaves (2009) (11)
- The Du Bois complex of a hypersurface and the minimal exponent (2021) (11)
- Global division of cohomology classes via injectivity (2007) (11)
- Derived equivalence and non-vanishing loci (2012) (10)
- Hodge ideals for $\protect \mathbf{Q}$-divisors: birational approach (2019) (10)
- HODGE IDEALS FOR $\mathbb{Q}$-DIVISORS, $V$-FILTRATION, AND MINIMAL EXPONENT (2020) (10)
- An Overview of Flood Risk Analysis Methods (2021) (9)
- Hodge ideals for Q-divisors II: V-filtration (2018) (9)
- Effective very ampleness for generalized theta divisors (2003) (9)
- LOCAL VANISHING AND HODGE FILTRATION FOR RATIONAL SINGULARITIES (2017) (8)
- Canonical cohomology as an exterior module (2010) (7)
- Generic vanishing and minimal cohomology classes on abelian fivefolds (2016) (6)
- Recent advances in algebraic geometry: A volume in honor of Rob Lazarsfeld’s 60th birthday (2015) (6)
- Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension (2021) (6)
- Positivity for Hodge modules and geometric applications (2016) (6)
- Derived equivalences of smooth stacks and orbifold Hodge numbers (2013) (5)
- On k-rational and k-Du Bois local complete intersections (2022) (5)
- Regularity on abelian varieties III: further applications (2003) (4)
- RELATIVE COMPACTIFIED JACOBIANS OF LINEAR SYSTEMS ON ENRIQUES SURFACES (2018) (4)
- Effective divisors on $M_g$ and a counterexample to the Slope Conjecture (2002) (4)
- On the behavior of Kodaira dimension under smooth morphisms (2022) (4)
- 𝒟-MODULES IN BIRATIONAL GEOMETRY (2018) (3)
- Spatial assessment of flash‐flood vulnerability in the Moldova river catchment (N Romania) using the FFPI (2020) (3)
- BGG correspondence, cohomology of compact K\"ahler manifolds, and numerical inequalities (2009) (3)
- Flood and Flash Flood Hazard Mapping Using the Frequency Ratio, Multilayer Perceptron and Their Hybrid Ensemble (2019) (3)
- Kodaira dimension of fibrations over abelian varieties (2021) (3)
- Hodge ideals and minimal exponents of ideals (2019) (3)
- Effects of Deforestation on Flooding in the Moldova River Basin (2019) (1)
- The geometry of the divisor of K3 sections (2003) (1)
- NOTES FOR 483-3: KODAIRA DIMENSION OF ALGEBRAIC VARIETIES (2016) (1)
- NOTES FOR THE ISTANBUL LECTURES (2016) (0)
- NOTES FOR THE ISTANBUL LECTURES (2016) (0)
- Flash Flood Assessment Using GIS and the Frequency Ratio Bivariate Statistical Model – Case Study, Codlea, Romania (2021) (0)
- RESTORING THE DANUBE FLOODPLAIN ECOSYSTEM BETWEEN OLTENIÈšA â€“ CÄ‚LÄ‚RAÈ˜I BY ENHAVING THE LATERAL CONNECTIVITY (2019) (0)
- Threefold divisorial contractions to singularities of cE type (2015) (0)
- A MACHINE LEARNING APPROACH FOR FLOODPLAIN MANAGEMENT AND RESTORATION ON THE LOWER DANUBE, A CASE STUDY BETWEEN BOIANU – CĂLĂRAȘI, ROMANIA (2020) (0)
- Extension of sections via adjoint ideals (2011) (0)
- A ug 2 00 3 ASYMPTOTIC INVARIANTS OF BASE LOCI (2003) (0)
- Asymptotic Invariants of Line Bundles 381 projective variety of dimension (2015) (0)
- MODULI OF VECTOR BUNDLES ON CURVES AND GENERALIZED THETA DIVISORS (2006) (0)
- Hodge filtration, minimal exponent, and local vanishing (2019) (0)
- P.R.A.G.M.A.T.I.C. 2007 FOURIER-MUKAI TRANSFORMS, GENERIC VANISHING, AND REGULARITY (2007) (0)
- METHODOLOGICAL APPROACHES IN ASSESSING THE ECONOMIC PRESSURE ON FOREST RESOURCES. CASE STUDY: APUSENI MOUNTAINS (2019) (0)
- Divisors on $\mathcal{M}_{g,g+1}$ and the Minimal Resolution Conjecture for points on canonical curves (2001) (0)
- Viehweg’s hyperbolicity conjecture for families with maximal variation (2016) (0)
- Workshop: Classical Algebraic Geometry Table of Contents (2004) (0)
- MODULI OF VECTOR BUNDLES ON CURVES AND GENERALIZED THETA DIVISORS (2006) (0)
- Conjectures on the Kodaira dimension (2021) (0)

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