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Albert Marden
Teratix: link mathematician, in -> In, rephrase PhD sentence
'''Albert Marden''' (born 18 November 1934 in [[Milwaukee]]) is an American [[Mathematics|mathematician]], specializing in [[complex analysis]] and [[hyperbolic geometry]].
Marden received his PhD in 1962 from [[Harvard University]] with thesis advisor [[Lars Ahlfors]].<ref></ref> Marden has been a professor at the [[University of Minnesota]] since the 1970s, where he is now professor emeritus. He was a member of the [[Institute for Advanced Study]] (IAS) in the academic year 1969–70, Fall 1978, and Fall 1987.<ref></ref>
His research deals with [[Riemann surfaces]], [[quadratic differential]]s, [[Teichmüller space]]s, hyperbolic geometry of surfaces and [[3-manifold]]s, [[Fuchsian group]]s, [[Kleinian group]]s, complex dynamics, and low-dimensional geometric analysis.
Concerning properties of [[hyperbolic 3-manifold]]s, Marden formulated in 1974 the [[Tameness theorem|tameness conjecture]],<ref></ref> which was proved in 2004 by [[Ian Agol]] and independently by a collaborative effort of [[Danny Calegari]] and [[David Gabai]].<ref></ref>
In 1962, he gave a talk (as an approved speaker but not an invited speaker) on ''A sufficient condition for the bilinear relation on open Riemann surfaces'' at the [[International Congress of Mathematicians]] in [[Stockholm]]. In 2012 he was elected a Fellow of the [[American Mathematical Society]].
==Selected publications==
* [https://ift.tt/2B9JdWZ ''Outer Circles. An introduction to hyperbolic 3 manifolds''], Cambridge University Press 2007
* with [[Richard Canary]], [[David B. A. Epstein]] (editors) '' Fundamentals of hyperbolic geometry: selected exposures '', Cambridge University Press 2006
* ''The geometry of finite generated kleinian groups.'' Ann. of Math. (2) 99 (1974), 383-462.
* with D. B. A. Epstein: "Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces." Analytical and geometric aspects of hyperbolic space (Coventry / Durham, 1984), 113-253, London Math. Soc. Lecture Note Ser., 111, Cambridge Univ. Press, Cambridge, 1987.
* with D. B. A. Epstein, [[Vladimir Markovic|V. Markovic]]: ''Quasiconformal homeomorphisms and the convex hull boundary.'' Ann. of Math. (2) 159 (2004), no. 1, 305-336.
==References==
<references/>
==External links==
* [https://ift.tt/2vJ3Xjj Homepage]
[[Category:20th-century American mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:Harvard University alumni]]
[[Category:University of Minnesota faculty]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Complex analysts]]
[[Category:1934 births]]
[[Category:Living people]]
Marden received his PhD in 1962 from [[Harvard University]] with thesis advisor [[Lars Ahlfors]].<ref></ref> Marden has been a professor at the [[University of Minnesota]] since the 1970s, where he is now professor emeritus. He was a member of the [[Institute for Advanced Study]] (IAS) in the academic year 1969–70, Fall 1978, and Fall 1987.<ref></ref>
His research deals with [[Riemann surfaces]], [[quadratic differential]]s, [[Teichmüller space]]s, hyperbolic geometry of surfaces and [[3-manifold]]s, [[Fuchsian group]]s, [[Kleinian group]]s, complex dynamics, and low-dimensional geometric analysis.
Concerning properties of [[hyperbolic 3-manifold]]s, Marden formulated in 1974 the [[Tameness theorem|tameness conjecture]],<ref></ref> which was proved in 2004 by [[Ian Agol]] and independently by a collaborative effort of [[Danny Calegari]] and [[David Gabai]].<ref></ref>
In 1962, he gave a talk (as an approved speaker but not an invited speaker) on ''A sufficient condition for the bilinear relation on open Riemann surfaces'' at the [[International Congress of Mathematicians]] in [[Stockholm]]. In 2012 he was elected a Fellow of the [[American Mathematical Society]].
==Selected publications==
* [https://ift.tt/2B9JdWZ ''Outer Circles. An introduction to hyperbolic 3 manifolds''], Cambridge University Press 2007
* with [[Richard Canary]], [[David B. A. Epstein]] (editors) '' Fundamentals of hyperbolic geometry: selected exposures '', Cambridge University Press 2006
* ''The geometry of finite generated kleinian groups.'' Ann. of Math. (2) 99 (1974), 383-462.
* with D. B. A. Epstein: "Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces." Analytical and geometric aspects of hyperbolic space (Coventry / Durham, 1984), 113-253, London Math. Soc. Lecture Note Ser., 111, Cambridge Univ. Press, Cambridge, 1987.
* with D. B. A. Epstein, [[Vladimir Markovic|V. Markovic]]: ''Quasiconformal homeomorphisms and the convex hull boundary.'' Ann. of Math. (2) 159 (2004), no. 1, 305-336.
==References==
<references/>
==External links==
* [https://ift.tt/2vJ3Xjj Homepage]
[[Category:20th-century American mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:Harvard University alumni]]
[[Category:University of Minnesota faculty]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Complex analysts]]
[[Category:1934 births]]
[[Category:Living people]]
August 14, 2018 at 10:50AM
