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: Log Abundance for Threefolds
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: Rational curves on quasi-projective surfaces
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: Contractible extremal rays on M_{0,n}
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: Boundedness of log terminal Fano pairs of bounded index
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: Threefold Thresholds
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
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: Dibaryon Spectroscopy
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: Boundedness of pluricanonical maps of varieties of general type
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: On Shokurov’s Rational Connectedness Conjecture
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: On the existence of flips
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: Existence of minimal models for varieties of log general type
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
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: Existence of minimal models for varieties of log general type II
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: The Sarkisov Program
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
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: Takagi lectures
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
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: Flips and flops
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: On the birational automorphisms of varieties of general type
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: The augmented base locus in positive characteristic
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: ACC for log canonical thresholds
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: Rational curves on algebraic spaces
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: Boundedness of moduli of varieties of general type
![[pdf]](http://www.math.ucsd.edu/~jmckerna/Images/pdf.gif)
![[ps]](http://www.math.ucsd.edu/~jmckerna/Images/ps.gif)
: A geometric characterisation of toric varieties
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: Boundedness of varieties of log general type: a survey