Biography:Michelle L. Wachs

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Short description: American mathematician
Berkeley, 2013

Michelle Lynn Wachs is an American mathematician who specializes in algebraic combinatorics and works as a professor of mathematics at the University of Miami.[1]

Contributions

Wachs and her advisor Adriano Garsia are the namesakes of the Garsia–Wachs algorithm for optimal binary search trees, which they published in 1977.[2][A] She is also known for her research on shellings for simplicial complexes,[F] partially ordered sets,[C] and Coxeter groups,[B] and on random permutation statistics[E] and set partition statistics.[D]

Education

Wachs earned her doctorate in 1977 from the University of California, San Diego, under the supervision of Adriano Garsia. Her dissertation was Discrete Variational Techniques in Finite Mathematics.[3]

Recognition

In 2012 Wachs became one of the inaugural fellows of the American Mathematical Society.[4] In 2013 she and her husband, mathematician Gregory Galloway (the chair of the mathematics department at Miami) were recognized as Simons Fellows.[5] A conference in her honor was held in January 2015 at the University of Miami.[6]

Selected publications

A. "A new algorithm for minimum cost binary trees", SIAM Journal on Computing 6 (4): 622–642, 1977, doi:10.1137/0206045 
B. "Bruhat order of Coxeter groups and shellability", Advances in Mathematics 43 (1): 87–100, 1982, doi:10.1016/0001-8708(82)90029-9 
C. "On lexicographically shellable posets", Transactions of the American Mathematical Society 277 (1): 323–341, 1983, doi:10.2307/1999359 
D. Wachs, Michelle; White, Dennis (1991), "[math]\displaystyle{ p,q }[/math]-Stirling numbers and set partition statistics", Journal of Combinatorial Theory, Series A 56 (1): 27–46, doi:10.1016/0097-3165(91)90020-H 
E. "Permutation statistics and linear extensions of posets", Journal of Combinatorial Theory, Series A 58 (1): 85–114, 1991, doi:10.1016/0097-3165(91)90075-R 
F. "Shellable nonpure complexes and posets I", Transactions of the American Mathematical Society 348 (4): 1299–1327, 1996, doi:10.1090/S0002-9947-96-01534-6 ; Part II, Trans. AMS 349 (10): 3945–3975, 1997, doi:10.1090/S0002-9947-97-01838-2, MR1401765

References

  1. Michelle Wachs, Univ. of Miami, retrieved 2015-01-02.
  2. "Algorithm G (Garsia–Wachs algorithm for optimum binary trees)", The Art of Computer Programming, Vol. 3: Sorting and Searching (2nd ed.), Addison–Wesley, 1998, pp. 451–453 . See also History and bibliography, pp. 453–454.
  3. Michelle L. Wachs at the Mathematics Genealogy Project
  4. List of Fellows of the American Mathematical Society, retrieved 2015-01-02.
  5. Meister, Hannah (February 17, 2013), "Math professors recognized with national fellowship", The Miami Hurricane, http://www.themiamihurricane.com/2013/02/17/math-professors-recognized-with-national-fellowship/ .
  6. A Conference to Celebrate The Mathematics of Michelle Wachs, retrieved 2015-01-02;The Mathematics of Michelle Wachs, American Mathematical Society, retrieved 2015-01-02.