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Lipman Bers, a Life in Mathematics
Edited by: Linda Keen, Lehman College, CUNY, New York, NY, Irwin Kra, Stony Brook University, NY, and Rubí E. Rodríguez, Pontificia Universidad Católica de Chile, Santiago, Chile
2015; approx. 340 pp; softcover
ISBN-10: 1-4704-2056-2
ISBN-13: 978-1-4704-2056-7
List Price: US$44
Member Price: US$35.20
Order Code: MBK/93
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Not yet published.
Expected publication date is September 4, 2015.

The book is part biography and part collection of mathematical essays that gives the reader a perspective on the evolution of an interesting mathematical life. It is all about Lipman Bers, a giant in the mathematical world who lived in turbulent and exciting times. It captures the essence of his mathematics, a development and transition from applied mathematics to complex analysis--quasiconformal mappings and moduli of Riemann surfaces--and the essence of his personality, a progression from a young revolutionary refugee to an elder statesman in the world of mathematics and a fighter for global human rights and the end of political torture.

The book contains autobiographical material and short reprints of his work. The main content is in the exposition of his research contributions, sometimes with novel points of view, by students, grand-students, and colleagues. The research described was fundamental to the growth of a central part of 20th century mathematics that, now in the 21st century, is in a healthy state with much current interest and activity. The addition of personal recollections, professional tributes, and photographs yields a picture of a man, his personal and professional family, and his time.


Undergraduate and graduate students and research mathematicians interested in the history of mathematics and complex analysis.

Table of Contents

  • L. Bers, R. Shapiro, and V. Bers -- Pages from a Memoir
  • L. Nirenberg -- Lipman Bers and partial differential equations
  • W. Abikoff and R. J. Sibner -- Bers--From graduate student to quasiconformal mapper
  • S. A. Wolpert -- Measurable Riemann mappings
  • A. Marden -- The Ahlfors-Bers creation of the modern theory of Kleinian groups--A small acorn grows to a mighty oak
  • I. Kra and B. Maskit -- The Bers embedding and (some of) its ramifications
  • F. P. Gardiner and L. Keen -- Lipman Bers, a retrospective
  • G. Riera and R. E. Rodríguez -- The Weil-Petersson geometry of a family of Riemann surfaces
  • H. Masur -- Legacy of work of Bers on the mapping class group
  • A. Basmajian and P. Susskind -- Bers' pants decomposition theorem
  • I. Kra -- Dennis Sullivan and Jeremy Kahn reminiscences
  • Y. Minsky -- Bers embeddings, skinning maps and hyperbolic geometry
  • N. A'Campo, L. Ji, and A. Papadopoulos -- On the early history of moduli and Teichmüller spaces
  • L. Bers -- Correction to "Spaces of Riemann surfaces as bounded domains"
  • L. Bers -- The migration of European mathematicians to America
  • I. Kra and H. Bass -- Lipman Bers May 22, 1914-October 29, 1993
  • C. S. Morawetz, C. Corillon, I. Kra, T. Weinstein, and J. Gilman -- Remembering Lipman Bers
  • L. Keen, T. K. Milnor, L. Sibner, I. Kra, J. Gilman, and J. Dodziuk -- Lipman Bers, a mathematical mentor
  • L. Keen, I. Kra, and R. E. Rodríguez -- Doctoral students of Lipman Bers
  • L. Keen, I. Kra, and R. E. Rodríguez -- Publications of Lipman Bers
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