Christopher Hacon | Academic Influence

Christopher Hacon's AcademicInfluence.com Rankings

Christopher Hacon

Mathematics

#1242

World Rank

#2081

Historical Rank

Measure Theory

#3285

World Rank

#3884

Historical Rank

mathematics Degrees

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Mathematics

Christopher Hacon's Degrees

PhD Mathematics University of Utah

Why Is Christopher Hacon Influential?

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According to Wikipedia, Christopher Derek Hacon is a mathematician with British, Italian and US nationalities. He is currently distinguished professor of mathematics at the University of Utah where he holds a Presidential Endowed Chair. His research interests include algebraic geometry.

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Christopher Hacon's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Existence of minimal models for varieties of log general type (2006) (1363)
Characterization of abelian varieties (1999) (329)
ACC for log canonical thresholds (2012) (238)
Boundedness of pluricanonical maps of varieties of general type (2005) (212)
On Shokurov's rational connectedness conjecture (2005) (188)
Existence of log canonical closures (2011) (162)
On the three dimensional minimal model program in positive characteristic (2013) (136)
On the birational automorphisms of varieties of general type (2010) (110)
A derived category approach to generic vanishing (2003) (109)
Algebraic fiber spaces over abelian varieties: around a recent theorem by Cao and Paun (2016) (89)
Boundedness of moduli of varieties of general type (2014) (81)
Extension theorems, non-vanishing and the existence of good minimal models (2010) (80)
Singularities on normal varieties (2008) (76)
The Sarkisov program (2009) (72)
Classification of Higher Dimensional Algebraic Varieties (2010) (68)
Pluricanonical maps of varieties of maximal Albanese dimension (2000) (48)
Termination of (many) 4-dimensional log flips (2006) (44)
Extension theorems and the existence of flips (2007) (42)
Boundedness of log Calabi–Yau pairs of Fano type (2014) (39)
On the birational geometry of varieties of maximal Albanese dimension (2001) (36)
On algebraic fiber spaces over varieties of maximal Albanese dimension (2000) (35)
On Finiteness of B-representation and Semi-log Canonical Abundance (2011) (34)
Pluricanonical systems on irregular 3-folds of general type (2006) (34)
Kodaira dimension of irregular varieties (2010) (32)
On the rationality of Kawamata log terminal singularities in positive characteristic (2017) (32)
Deformations of canonical pairs and Fano varieties (2009) (31)
On the Irregularity of the Image of the Iitaka Fibration (2004) (30)
On the existence of flips (2005) (28)
On the Log Canonical Inversion of Adjunction (2012) (26)
Generic vanishing in characteristic p > 0 and the characterization of ordinary abelian varieties (2013) (24)
On the Numerical Dimension of Pseudo-Effective Divisors in Positive Characteristic (2012) (24)
SURFACES WITH pg = q = 3 (2002) (23)
Generic vanishing fails for singular varieties and in characteristic p > 0 (2012) (22)
On the Relative Minimal Model Program for Threefolds in Low Characteristics (2019) (22)
The Minimal Model Program for threefolds in characteristic five. (2019) (21)
Deformations of the trivial line bundle and vanishing theorems (2000) (21)
Flips and flops (2011) (20)
On Fujita invariants of subvarieties of a uniruled variety (2016) (20)
Birational characterization of products of curves of genus 2 (2004) (19)
On weak Zariski decompositions and termination of flips (2018) (19)
Non-rational centers of log canonical singularities (2011) (17)
Boundedness of varieties of log general type (2016) (17)
On the adjunction formula for 3-folds in characteristic $$p>5$$p>5 (2015) (16)
Fourier transforms, generic vanishing theorems and polarizations of abelian varieties (1999) (16)
Remarks on Seshadri constants of vector bundles (2000) (14)
On the degree of the canonical maps of 3-folds (2004) (14)
Holomorphic one-forms on varieties of general type (2004) (14)
Rigidity properties of Fano varieties (2009) (14)
Surfaces with $p_g=q=3$ (2001) (14)
Birational characterization of Abelian varieties and ordinary Abelian varieties in characteristic p>0 (2017) (13)
Factoring 3-fold flips and divisorial contractions to curves (2009) (12)
On a connectedness principle of Shokurov-Kollár type (2018) (12)
A surface of general type with pg=q=2 and KX²=5 (2006) (12)
Singularities of divisors of low degree on abelian varieties (2005) (12)
On the geography of Gorenstein minimal 3-folds of general type (2006) (12)
Divisors on Principally Polarized Abelian Varieties (1999) (11)
Singularities of pluri-theta divisors in Char $p>0$ (2011) (11)
Existence of flips for generalized lc pairs (2021) (10)
Quantum Coinvariant Theory for the Quantum Special Linear Group and Quantum Schubert Varieties (2001) (10)
On the relative Minimal Model Program for fourfolds in positive characteristic (2020) (9)
On birational boundedness of foliated surfaces (2019) (9)
Varieties with $P_3(X)=4$ and $q(X)=\dim (X)$ (2003) (7)
A SURFACE OF GENERAL TYPE WITH pg (2010) (6)
Recent advances in algebraic geometry: A volume in honor of Rob Lazarsfeld’s 60th birthday (2015) (6)
INVARIANCE OF CERTAIN PLURIGENERA FOR SURFACES IN MIXED CHARACTERISTICS (2016) (6)
Effective Criteria for Birational Morphisms (2003) (6)
On the geography of threefolds of general type (2008) (5)
Varieties with $P_3 (X) = 4$ and $q (X)=$ dim $(X)$ (2004) (5)
On the boundedness of slc surfaces of general type (2016) (5)
On the characterization of abelian varieties in characteristic $p>0$ (2016) (5)
Boundedness of elliptic Calabi-Yau threefolds (2021) (5)
Varieties with P3 = 3 and q = dim(X) (2005) (5)
The log minimal model program for K\"ahler $3$-folds (2020) (5)
On the $4$-dimensional minimal model program for K\"ahler varieties (2022) (5)
Global generation of test ideals in mixed characteristic and applications (2021) (4)
Boundedness Results in Birational Geometry (2011) (4)
On Infinite-Dimensional Grassmannians and their Quantum Deformations. (2001) (4)
Examples of spanned and ample vector bundles with small numerical invariants (1996) (3)
A SURFACE OF GENERAL TYPE WITH pgD qD 2 AND K 2 D 5 (2006) (3)
Higher dimensional minimal model program for varieties of log general type (2010) (2)
Variations of generalised pairs (2022) (2)
On the relative minimal model program for fourfolds in positive and mixed characteristic (2020) (2)
Singularities of divisors on abelian varieties (2006) (2)
GV -SUBSCHEMES AND THEIR EMBEDDINGS IN PRINCIPALLY POLARIZED ABELIAN VARIETIES (2015) (2)
The main result (2010) (1)
ON THE BOUNDEDNESS OF THE FUNCTOR OF KSBA STABLE VARIETIES (2013) (1)
Finite generation of the restricted algebra (2010) (0)
In Memoriam: Eckart Viehweg (2010) (0)
Classification of higher dimensional algebraic varieties / Christopher D. Hacon, Sandor J. Kovacs (2010) (0)
Log terminal models (2010) (0)
Workshop: Complex Algebraic Geometry Table of Contents (2012) (0)
A G ] 3 0 A pr 2 02 3 MMP FOR GENERALIZED PAIRS ON KÄHLER 3-FOLDS (2023) (0)
Extension Theorems and Their Applications to Birational Geometry (2005) (0)
EXISTENCE OF GOOD MINIMAL MODELS FOR KÄHLER VARIETIES OF MAXIMAL ALBANESE DIMENSION OMPROKASH DAS AND CHRISTOPHER HACON (2022) (0)
Birational Characterization of Abelian Varieties (1999) (0)
Threefold divisorial contractions to singularities of cE type (2015) (0)
Abstracts Week 4 (Monday and Friday) (2014) (0)
CAUCHER BIRKAR’S WORK IN BIRATIONAL ALGEBRAIC GEOMETRY (2019) (0)
Finiteness of log terminal models (2010) (0)
Existence of log canonical closures (2012) (0)
The construction of the moduli space (2010) (0)
A G ] 1 4 A ug 2 01 0 KODAIRA DIMENSION OF IRREGULAR VARIETIES JUNGKAI (2010) (0)
Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects (2021) (0)
Families and moduli functors (2010) (0)
Algebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces (2018) (0)
AN EXAMPLE OF A SURFACE OF GENERAL TYPE (2004) (0)
On the adjunction formula for 3-folds in characteristic p>5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p>5$$\end{d (2016) (0)
Classification of Algebraic Varieties (2012) (0)
ACC for generalized log canonical thresholds for complex analytic spaces (2023) (0)
BIRATIONAL GEOMETRY OF IRREGULAR VARIETIES IN ZERO AND POSITIVE CHARACTERISTIC (2017) (0)
Varieties with P3 (X )=4a ndq (X )= dim (X) (2004) (0)
Vanishing Theorem and Minimal Log Canonical Centers 4 4 (2016) (0)
Index to Volume 136 2014 (2014) (0)
Generic vanishing in characteristic $$p>0$$ p > 0 and the geometry of theta divisors (2020) (0)
Subvarieties of moduli spaces (2010) (0)
ON THE ADJUNCTION FORMULA ON 3-FOLDS IN CHARACTERISTIC p OMPROKASH DAS AND CHRISTOPHER HACON (2015) (0)
Multiplier ideal sheaves (2010) (0)
POSITIVITY PROPERTIES OF ALGEBRAIC SUBVARIETIES (2017) (0)
On a connectedness principle of Shokurov-Kollár type (2018) (0)

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