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Herbert Federer
Professor of Mathematics (Emeritis)
- CONTACT INFO
Office: Kassar-Gould House
Phone: (401) 863-1866
Fax: (401) 863-9013
Mailing Address:
Mathematics Department
Box 1917
Brown University
Providence, RI 02912
- COURSE SCHEDULE
Retired
- RESEARCH INTERESTS
Geometric Measure Theory
- BACKGROUND
Education: Ph.D., Berkeley, 1944
- RECENT PUBLICATIONS
{\cyr Geometricheskaya teoriya mery}. (Russian) [Geometric measure theory] Translated from the English by S. P. Ba\u\i borodov, L. D. Ivanov and V. V. Trofimov. Translation edited and with a preface by A. G. Vitushkin. With appendixes by Ivanov and A. T. Fomenko. ``Nauka'', Moscow, 1987. 760 pp.
1987 Steele prizes awarded at the summer meeting in Salt Lake City. Notices Amer. Math. Soc. 34 (1987), no. 6, 875--878.
Flat chains with positive densities. Indiana
Univ. Math. J. 35 (1986), no. 2, 413--424.
Colloquium lectures on geometric measure theory. Bull. Amer. Math. Soc. 84 (1978), no. 3, 291--338.
The Lebesgue set of a function whose distribution derivatives are $p$-th power summable. Indiana Univ. Math. J. 22 (1972/73), 139--158. w/Ziemer, William P.
On spherical summation of the Fourier transform of a distribution whose partial derivatives are representable by integration. Ann. of Math. (2) 91 (1970), 136--143.
A minimizing property of extremal submanifolds. Arch. Rational Mech. Anal. 59 (1975), no. 3, 207--217.
Real flat chains, cochains and variational problems. Indiana Univ. Math. J. 24 (1974/75), 351--407.
Slices and potentials. Indiana Univ. Math. J. 21 (1971/72), 373--382.
The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension. Bull. Amer. Math. Soc. 76 1970 767--771.
Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften, Band 153 Springer-Verlag New York Inc., New York 1969 xiv+676 pp.
Some properties of distributions whose partial derivatives are representable by integration. Bull. Amer. Math. Soc. 74 1968 183--186.
Two theorems in geometric measure theory. Bull. Amer. Math. Soc. 72 1966 719.
Some theorems on integral currents. Trans. Amer. Math. Soc. 117 1965 43--67.
Approximation of integral currents by cycles. Proc. Amer. Math. Soc. 12 1961 882--884.
Currents and area. Trans. Amer. Math. Soc. 98 1961 204--233.
The area of a nonparametric surface. Proc. Amer. Math. Soc. 11 1960 436--439.
Normal and integral currents. Ann. of Math. (2) 72 1960 458--520.w/Fleming, Wendell H.
Curvature measures. Trans. Amer. Math. Soc. 93 1959 418--491.
On Lebesgue area. II. Trans. Amer. Math. Soc. 90 1959 499--522.w/Demers, Maurice R.
A note on the Gauss-Green theorem. Proc. Amer. Math. Soc. 9 1958 447--451.
A study of function spaces by spectral sequences. Trans. Amer. Math. Soc. 82 (1956), 340--361.
An addition theorem for Lebesgue area. Proc. Amer. Math. Soc. 6 (1955), 911--914.
On Lebesgue area. Ann. of Math. (2) 61, (1955). 289--353.
Some integralgeometric theorems. Trans. Amer. Math. Soc. 77, (1954). 238--261.
Measure and area. Bull. Amer. Math. Soc. 58, (1952). 306--378.
Hausdorff measure and Lebesgue area. Proc. Nat. Acad. Sci. U. S. A. 37, (1951). 90--94.
Some properties of free groups. Trans. Amer. Math. Soc. 68, (1950). 1--27.w/Jónsson, Bjarni
Essential multiplicity and Lebesgue area. Proc. Nat. Acad. Sci. U. S. A. 34, (1948). 611--616.
An Introduction to Differential Geometry. Distributed by the Stenographic Bureau, Brown University, Providence 12, R. I., 1948. no paging given.
Dimension and measure. Trans. Amer. Math. Soc. 62, (1947). 536--547.
The $(\varphi,k)$ rectifiable subsets of $n$-space. Trans. Amer. Soc. 62, (1947). 114--192.
Coincidence functions and their integrals. Trans. Amer. Math. Soc. 59, (1946). 441--466.
The Gauss-Green theorem. Trans. Amer. Math. Soc. 58, (1945). 44--76.
Surface area. II. Trans. Amer. Math. Soc. 55, (1944). 438--456.
Surface area. I. Trans. Amer. Math. Soc. 55, (1944). 420--437.