Jenny Harrison

Source: Wikipedia, the free encyclopedia.
Jenny Harrison
Atlanta, Georgia, US
EducationUniversity of Alabama (BA)
University of Warwick (PhD)
Known forContributions to geometric analysis, chainlets
Scientific career
FieldsMathematics
InstitutionsUniversity of California, Berkeley
Doctoral advisorChristopher Zeeman

Jenny Harrison is a professor of mathematics at the University of California, Berkeley.

Education and career

Harrison grew up in Tuscaloosa, Alabama. On graduating from the

Somerville College
) from 1978 to 1981, before returning to Berkeley as an assistant professor.

In 1986, after being denied tenure at Berkeley, Harrison filed a lawsuit based on gender discrimination.[3] Stephen Smale and Robion Kirby were the most vocal opponents to her receiving tenure during the case, while Morris Hirsch and James Yorke were her most vocal supporters. The 1993 settlement led to a new review of her work by a panel of seven mathematicians and science faculty who unanimously recommended tenure as a full professor.[1][3]

Research contributions

Harrison specializes in

fractals, charged particles, and Whitney stratified spaces, placing them on the same footing as smooth submanifolds in the resulting calculus. The results include optimal generalizations and simplifications of the theorems of Stokes, Gauss and Green. She has pioneered applications of differential chains to the calculus of variations, physics, and continuum mechanics. Her solution to Plateau's problem[6] is the first proof of existence of a solution to a universal Plateau's problem for finitely many boundary curves, taking into account all soap films arising in nature, including nonorientable films with triple junctions, as well as solutions of Jesse Douglas,[7] Herbert Federer and Wendell Fleming.[8] Recently, she and Harrison Pugh
have announced existence and soap film regularity of a solution to a universal Plateau's problem for codimension one surfaces using Hausdorff measure to define area.

As a graduate student at the University of Warwick, where Zeeman introduced her to Plateau's problem. She found a counterexample to the Seifert conjecture[9] at Oxford. In a Berkeley seminar in 1983 she proposed the existence of a general theory linking these together, and the theory of differential chains began to evolve. Jenny Harrison and Harrison Pugh proved that the topological vector space of differential chains satisfies a universal property determined by two natural axioms.[5] They have used the theory to provide the first universal solution to Plateau's problem, including soap film regularity, building upon Harrison's earlier paper.[10] Recently, Fried and Seguin have found a broad generalization to Reynolds transport theorem using the methods of differential chains.[11]

Awards and fellowships

References

  1. ^ a b [1] Paul Selvin, Jenny Harrison Finally Gets Tenure in Math at Berkeley, Science 16 Jul 1993: Vol. 261, Issue 5119, pp. 286
  2. ^ Jenny Harrison at the Mathematics Genealogy Project
  3. ^ a b [2] Paul Selvin, Does the Harrison Case Reveal Sexism in Math?, Science 28 Jun 1991: Vol. 252, Issue 5014, pp. 1781-1783
  4. ^ [3] Archived 2014-04-07 at the Wayback Machine Jenny Harrison, Operator calculus of differential chains and differential forms, to appear in the Journal of Geometric Analysis, arxiv posting January 2011, 89 pages
  5. ^ a b J. Harrison and H. Pugh, Topological Aspects of Differential Chains, Journal of Geometric Analysis, 22 (2012), no. 3, 685–690
  6. ^ [4] Jenny Harrison, Soap film solutions to Plateau's problem, Journal of Geometric Analysis, January 2014, 24(1):271-2972
  7. ^ Jesse Douglas, Solutions of the problem of Plateau, Transactions of the American Mathematical Society 33 (1931), 263–321
  8. ^ Herbert Federer and Wendell Fleming, Normal and integral currents, The Annals of Mathematics 72 (1960), no. 3, 458–520
  9. ^ Jenny Harrison, counterexamples to the Seifert conjecture. Topology (journal)|Topology, vol. 27, no. 3, pp. 249–278, 1988
  10. ^ Jenny Harrison, Journal of Geometric Analysis, January 2013, 24(1):271-297
  11. ^ Eliot Fried and Brian Seguin, Mathematical Models and Methods in Applied Sciences, Vol. 24, No. 9 (2014) 1729–1779

External links