Complex Geometry C. Herbert Clemens Professor 1976 A. B. 1961 Holy Cross College Ph. D. 1966 University of California, Berkeley Assistant Professor, Columbia University, 1973-75 Phone: (801) 581-5275 [email protected] Activities and Awards at the secondary, undergraduate, graduate and research level. Invited Speaker International Congress of Mathematicians (1974, 1986) Professor Clemens’s research contributions University of Utah Distinguished Research Award (1983) include solution, with Phillip Griffiths, of a Member of Committee on Mathematics long-standing conjecture as to whether any solution space to a system of polynomial equations which admits a many-to-one Research Interest parametrization in fact admits a one-to-one parametrization. He later showed that it is Professor Clemens career combines a strong not in general true that the equivalence interest in research in the mathematical group of subspaces of a solution space to a area of algebraic geometry with a lifelong system of polynomial equations can be gen- interest in undergraduate and precollege erated by finitely many subspaces, and some mathematics education and in nurturing years after that he showed that solution sets mathematics and mathematics education in to a single equation in general do not contain the developing world. He spent five years as curves of low genus. His current research a assistant professor and associate professor interests are centered on deformation theo- at Columbia University in New York City ry, that is, the study of the obstructions to before joining the Mathematics Department continuously deforming subspaces when one of the University of Utah in 1975. Other changes the coefficients in the polynomial educational activities since coming to Utah equations defining a solution space. It has include five years as director of the Institute been shown by physicists that these for the Theory and Application of questions are important to unified field Mathematics, an arm of the Mathematics theories. Department dedicated to university-wide and community outreach, and, since 1994, math coordinator for the ‘Ndahoo’aah Selected Publications Program, combining the teaching of tradi- 1. (joint with H. Kley) Counting curves which move tional culture with math and computer with threefolds. J. Alg. Geom. 9 (2000), 175-200. preparation in the predominantly Navajo high schools of southeastern Utah. 2. Homological equivalence, modulo algebraic equiva- lence, is not finitely generated Publ. Math. I.H.E.S. 58 Professor Clemens is also currently (1983), 231-250. Secretary/Treasurer of the Commission for 3. (joint with P. Griffiths), The intermediate Jacobian Development and Exchanges of the of the cubic threefold, Annals of Mathematics 95 International Mathematical Union and (1972) 281-356. chairs the Steering Committee of the Park 4. (joint with J. Kollár and S. Mori) Higher City Mathematics Institute, an Institute for Dimensional Complex, Geometry. Astérisque 166,1988. Advance Study sponsored summer program 5 Scrapbook of Complex Curve Theory. Plenum Press, of mathematics and mathematics teaching 1980. www.math.utah.edu/~clemens.