Shigeru Mukai (向井 茂, Mukai Shigeru, born 1953) is a Japanese mathematician at Kyoto University specializing in algebraic geometry.
Shigeru Mukai  

Born  1953 
Nationality  Japan 
Alma mater  Kyoto University (Ph.D., 1982) 
Known for  FourierMukai transform 
Awards 

Scientific career  
Fields  Mathematics 
Institutions  Kyoto University Nagoya University 
He introduced the Fourier–Mukai transform in 1981 in a paper on abelian varieties, which also made up his doctoral thesis. His research since has included work on vector bundles on K3 surfaces, threedimensional Fano varieties, moduli theory, and noncommutative BrillNoether theory. He also found a new counterexample to Hilbert's 14th problem (the first counterexample was found by Nagata in 1959).