Bo Berndtsson
Swedish mathematician
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Mathematics
Bo Berndtsson's Degrees
- PhD Mathematics Lund University
Why Is Bo Berndtsson Influential?
(Suggest an Edit or Addition)According to Wikipedia, Bo Berndtsson , is a Swedish mathematician. His main contributions concern the theory of several complex variables and complex geometry. He gained in 1971 a BA degree from the University of Gothenburg in Sweden and obtained his PhD in 1977 under the direction of Tord Ganelius. Since 1996 he has been a professor at Chalmers University of Technology in Gothenburg. He has also been a guest professor at UCLA in Los Angeles, Université de Paris, Université Paul Sabatier in Toulouse, UAB in Barcelona and IPN in Mexico City. Berndtsson has been a member of the Royal Swedish Academy of Sciences since 2003. In 1995 he was awarded the Göran Gustafsson Prize. For 2017 he received the Stefan Bergman Prize.
Bo Berndtsson's Published Works
Published Works
- Curvature of vector bundles associated to holomorphic fibrations (2005) (318)
- Bergman kernels and the pseudoeffectivity of relative canonical bundles (2007) (204)
- Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains (2005) (143)
- Henkin-Ramirez formulas with weight factors (1982) (138)
- A Brunn–Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry (2013) (138)
- A direct approach to Bergman kernel asymptotics for positive line bundles (2008) (130)
- The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman (1996) (129)
- A cohort study of mortality and cancer incidence in ethylene oxide production workers. (1979) (126)
- Convexity of the K-energy on the space of Kahler metrics and uniqueness of extremal metrics (2014) (123)
- A Sobolev mapping property of the Bergman kernel (2000) (112)
- Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties (2012) (110)
- On interpolation and sampling in Hilbert spaces of analytic functions. (1995) (89)
- The ¯∂-equation on a positive current (2002) (87)
- Positivity of direct image bundles and convexity on the space of Kähler metrics. (2006) (81)
- A proof of the Ohsawa–Takegoshi theorem with sharp estimates (2014) (73)
- A formula for interpolation and division in ℂn (1983) (72)
- A Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi uniqueness theorem (2011) (64)
- The openness conjecture for plurisubharmonic functions (2013) (64)
- Strict and nonstrict positivity of direct image bundles (2010) (59)
- The openness conjecture and complex Brunn-Minkowski inequalities (2014) (54)
- Prekopa's theorem and Kiselman's minimum principle for plurisubharmonic functions (1998) (51)
- Integral formulas and an explicit version of the fundamental principle (1989) (48)
- Interpolating sequences for H∞ in the ball (1985) (45)
- Convexity of the K-energy on the space of K\"ahler metrics (2014) (44)
- Weighted estimates for the ə̄-equation (2001) (39)
- Probability measures related to geodesics in the space of K (2009) (35)
- AN EIGENVALUE ESTIMATE FOR THE ∂-LAPLACIAN (2002) (34)
- Quantitative extensions of pluricanonical forms and closed positive currents (2010) (34)
- Analytic multifunctions, the ∂-equation, and a proof of the Corona theorem (1986) (32)
- The volume of K\"ahler-Einstein Fano varieties and convex bodies (2012) (31)
- Interpolating sequences in the polydisc (1987) (31)
- A note on Pavlov-Korevaar-Dixon interpolation (1978) (31)
- Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov. (1988) (26)
- Bergman kernels and subadjunction (2010) (23)
- Cauchy-Leray forms and vector bundles (1991) (23)
- A Bergman kernel proof of the Kawamata subadjunction theorem (2008) (20)
- ALGEBRAIC FIBER SPACES AND CURVATURE OF HIGHER DIRECT IMAGES (2017) (20)
- Integral formulas for the ∂ $$\bar \partial $$ -equation and zeros of bounded holomorphic functions in the unit ball (1980) (20)
- Convexity on the space of Kähler metrics (2013) (19)
- Asymptotics of Bergman Kernels (2005) (19)
- Weighted estimates for $\overline{\partial}$ in domains in $\mathbb{C}$ (1992) (19)
- b and Carleson type inequalities (1987) (19)
- Zeros of analytic functions of several variables (1978) (18)
- Uniform estimates with weights for the $$\bar \partial - equation$$ (1997) (17)
- Integral formulas and the ohsawa-takegoshi extension theorem (2005) (16)
- Lelong Numbers and Vector Bundles (2017) (15)
- An introduction to things \overline{∂} (2010) (15)
- $\bar\partial$and Schrödinger operators (1996) (14)
- $$\bar \partial _b $$ and Schrödinger operatorsand Schrödinger operators (1996) (13)
- Moser–Trudinger type inequalities for complex Monge–Ampère operators and Aubin’s “hypothèse fondamentale” (2011) (12)
- Some recent results on estimates for the % MathType!MTEF!2!1!+-% feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaq (1994) (12)
- Symmetrization of plurisubharmonic and convex functions (2012) (11)
- An Eigenvalue Estimate for the $\bar \partial$-Laplacian (2002) (11)
- Curvature of Vector Bundles and Subharmonicity of Bergman Kernels (2005) (10)
- Complex Legendre duality (2016) (9)
- Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem (2020) (9)
- A Brunn–Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry (2014) (9)
- Exponential growth of a branching process usually implies stable age distribution (1979) (8)
- An Inequality for Fourier–Laplace Transforms of Entire Functions, and the Existence of Exponential Frames in Fock Space (1997) (8)
- A remark on approximation on totally real sets (2006) (7)
- L 2 -estimates for the d-equation and Witten’s proof of the Morse inequalities (2007) (7)
- L 2 -EXTENSION OF ¯ ∂ -CLOSED FORM (2013) (6)
- Real and complex Brunn-Minkowski theory (2017) (6)
- L 2 -EXTENSION OF ¯ ∂ -CLOSED FORM (2013) (6)
- Integral kernels and approximation on totally real submanifolds of ℂn (1979) (6)
- The projective space has maximal volume among all toric Kähler-Einstein manifolds (2011) (6)
- Bergman kernels for Paley–Wiener spaces and Nazarov’s proof of the Bourgain–Milman theorem (2020) (6)
- Quasi-isometric vector bundles and bounded factorization of holomorphic matrices (2003) (6)
- COMPLEX BRUNN–MINKOWSKI THEORY AND POSITIVITY OF VECTOR BUNDLES (2018) (6)
- A comparison principle for Bergman kernels (2015) (5)
- Traces of pluriharmonic functions on curves (1990) (5)
- COMPLEX INTERPOLATION OF R-NORMS , DUALITY AND FOLIATIONS (2016) (5)
- L2-methods for the ∂̄-equation (2006) (5)
- Superforms, supercurrents, minimal manifolds and Riemannian geometry (2018) (5)
- $L^2$-extension of $\dbar$-closed forms (2011) (5)
- Almost holomorphic extensions of ultradifferentiable functions (2003) (4)
- $L^{2}$-extension of $\bar{\partial}$-closed form (2012) (4)
- Non-holomorphic functional calculus for commuting operators with real spectrum (2002) (4)
- MathematicsA note on Pavlov-Korevaar-Dixon interpolation (1978) (3)
- A smooth pseudoconvex domain inC2 for whichL∞-estimates for $$\bar \partial $$ do not holddo not hold (1993) (2)
- POSITIVITY PROPERTIES OF DIRECT IMAGE BUNDLES (2008) (2)
- Complex interpolation of $\mathbb R$-norms, duality and foliations (2016) (2)
- The Maximum Polygon Area and its Relation to the Isoperimetric Inequality (2005) (2)
- Long Geodesics in the Space of Kähler Metrics (2022) (1)
- Geodesics in the space of K\"ahler metrics (2009) (1)
- Some Remarks on weighted Estimates for ∂̄ (1991) (0)
- A Brunn-Minkowski inequality for Fano manifolds (2011) (0)
- Geometric Methods of Complex Analysis (2011) (0)
- An Extension Problem for Convex Functions (2008) (0)
- ul 2 00 9 GEODESICS IN THE SPACE OF KÄHLER METRICS (2009) (0)
- POSITIVITY PROPERTIES OF DIRECT IMAGE BUNDLES(Analytic Geometry of the Bergman Kernel and Related Topics) (2006) (0)
- The openness conjecture for psh-functions with isolated singularities (2013) (0)
- The volume of K (2012) (0)
- Plurisubharmonic functions and real submanifolds of $\C^n$ (2022) (0)
- Lelong Numbers and Vector Bundles (2017) (0)
- The openness conjecture for projective manifolds (2013) (0)
- Plurisubharmonic functions and real submanifolds of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si4.svg"><mml:msup><mml:mrow><mml:mi>ℂ</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> (2023) (0)
- Zeros of analytic functions of several variables and related questions (1977) (0)
- $L^p$-polarity, Mahler volumes, and the isotropic constant (2023) (0)
- The Abel Symposium 2013 Complex Geometry Trondheim , July 2-5 Program Tuesday July 2 (2013) (0)
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