studied trigonometric sums (Gauss sums) with algebro-geometric methods. He introduced the Katz–Lang finiteness theorem. Writings Gauss sums, Kloosterman sums, and monodromy groups. Annals of Mathematical Studies, Princeton 1988. Exponential sums and differential equations. Annals of Mathematical Studies, Princeton 1990. Manuscript with corrections Rigid Local Systems. Annals of Mathematical Studies, Princeton 1996. Twisted -functions and Monodromy. Annals of Mathematical Studies, Princeton 2002. Moments, Monodromy, and Perversity. A Diophantine Perspective. Annals of Mathematical Studies, Princeton 2005, . Convolution and equidistribution: Sato-Tate theorems for finite-field Mellin transforms. Annals of Mathematical Studies, Princeton 2012. With Barry Mazur: Arithmetic Moduli of elliptic curves. Princeton 1985. With Peter Sarnak: Random Matrices, Frobenius Eigenvalues, and Monodromy. AMS Colloquium publications 1998, . With Peter Sarnak: "Zeroes of zeta functions and symmetry". Bulletin of the AMS, Vol. 36, 1999, S.1-26. References External links Nick Katz's web page in Princeton 1943 births Living people Arithmetic geometers Members of the United States National Academy of Sciences Jewish American scientists Baltimore City College alumni Johns Hopkins University alumni Princeton University alumni Princeton University faculty 20th-century American mathematicians 21st-century American mathematicians Fermat's Last Theorem People from Baltimore Paris-Saclay University people 21st-century American Jews