John Smillie (mathematician) explained
John David Smillie (born February 18, 1953, in Ithaca, New York) is an American mathematician, specializing in dynamical systems.[1]
Biography
His father, David Smillie, was a professor of psychology.[2] John Smillie graduated in 1974 with a B.A. in mathematics from New College of Florida.[3] At the University of Chicago he graduated with an M.S. in 1975 and a Ph.D. in 1977.[4] His Ph.D. thesis Affinely flat manifolds was supervised by Richard Lashof. From 1977 to 1980 Smillie was an instructor at Princeton University. For the academic year 1980–1981 he was at the Institute for Advanced Study. He was a postdoc for the academic year 1981–1982 at the University of California, Berkeley, and for the academic year 1982–1983 at Graduate Center of the City University of New York (CUNY).[5] At CUNY Smillie was an assistant professor from 1983 to 1986 and an associate professor from 1986–1989 at Lehman College and CUNY Graduate Center.[5] At Cornell University has he was a visiting associate professor from 1986 to 1987, an associate professor from 1987 to December 1990, and a full professor from January 1991 to July 2015, when he became an emeritus professor. At Cornell University he was the chair of the mathematics department from 1999 to 2002. In 2013 he became a professor at the University of Warwick. He is married to the mathematician Karen Vogtmann. The couple moved in 2013 to England and settled in Kenilworth.[6]
His research deals with "polygonal billiards and dynamics of flows on Teichmüller space; analysis of algorithms; and diffeomorphisms of surfaces", as well as "translation surfaces and complex dynamics in higher dimensions".
Smillie has held visiting positions at several institutions, including the University of Illinois Chicago, the École normale supérieure de Lyon, the Institut des Hautes Études Scientifiques, the Mathematical Sciences Research Institute in Berkeley, the Research Institute for Mathematical Sciences of Kyoto University, and the Mathematical Institute of the Hausdorff Center for Mathematics in Bonn. He has given talks in the USA, Canada, France, Italy, Israel, Brazil, and China. In 2002 he was an invited speaker at the International Congress of Mathematicians in Beijing.[7]
Selected publications
- 10.1090/S0273-0979-1985-15398-4. A rational billiard flow is uniquely ergodic in almost every direction. 1985. Kerckhoff. Steven. Steven Kerckhoff. Masur. Howard. Howard Masur. Smillie. John. Bulletin of the American Mathematical Society. 13. 2. 141–143. free.
- 1971280. Kerckhoff. Steven. Masur. Howard. Smillie. John. Ergodicity of Billiard Flows and Quadratic Differentials. Annals of Mathematics. 1986. 124. 2. 293–311. 10.2307/1971280.
- 10.1090/S0025-5718-1990-1023041-4. Rayleigh quotient iteration for nonsymmetric matrices. 1990. Batterson. Steve. Smillie. John. Mathematics of Computation. 55. 191. 169. 1990MaCom..55..169B. free.
- 10.1090/S0002-9939-1991-1065094-6. Automorphisms of
of imaginary quadratic integers. 1991. Smillie. John. Vogtmann. Karen. Proceedings of the American Mathematical Society. 112. 3. 691.
- 2939284. Bedford. Eric. Smillie. John. Polynomial Diffeomorphisms of C2. II: Stable Manifolds and Recurrence. Journal of the American Mathematical Society. 1991. 4. 4. 657–679.
- 2944356. Masur. Howard. Smillie. John. Hausdorff Dimension of Sets of Nonergodic Measured Foliations. Annals of Mathematics. 1991. 134. 3. 455–543. 10.2307/2944356.
- math/9205210. 10.1007/BF01232426. Polynomial diffeomorphisms of
. IV: The measure of maximal entropy and laminar currents. 1993. Bedford. Eric. Lyubich. Mikhail. Mikhail Lyubich. Smillie. John. Inventiones Mathematicae. 112. 77–125. 1993InMat.112...77B. 174190.
- math/9301220. 10.1007/BF01232671. Distribution of periodic points of polynomial diffeomorphisms of
. 1993. Bedford. E.. Lyubich. M.. Smillie. J.. J. Inventiones Mathematicae. 114. 277–288. 1993InMat.114..277B. 14653811.
- math/9602211. Smillie. John. Buzzard. Gregery T.. Complex dynamics in several variables. 1996.
- Kenyon, Richard. Richard Kenyon. Smillie, John. 2000. Billiards on rational-angled triangles. Commentarii Mathematici Helvetici. 75. 1. 65–108. 10.1007/s000140050113. 15709469. free.
- math/0703567. Calta. Kariane. Smillie. John. Algebraically periodic translation surfaces. 2007.
- 0905.0871. Smillie. John. Ulcigrai. Corinna. Symbolic coding for linear trajectories in the regular octagon. 2009. math.DS.
- 1208.2577. Bedford. Eric. Smillie. John. Ueda. Tetsuo. Parabolic Bifurcations in Complex Dimension 2. 2012. math.DS.
- 1603.00808. Bainbridge. Matt. Smillie. John. Weiss. Barak. Horocycle dynamics: New invariants and eigenform loci in the stratum H(1,1). 2016. math.DS.
- 2004.04027. Chaika. Jon. Smillie. John. Weiss. Barak. Tremors and horocycle dynamics on the moduli space of translation surfaces. 2020. math.DS.
References
- Web site: John Smillie, Professor Emeritus. Department of Mathematics, Cornell University.
- News: Obituary. David Smillie. The News & Observer. April 11, 2006.
- Web site: Candidates for the Degree of Bachelor of Arts. Commencement VIII, New College.
- Web site: Professor John Smillie. Mathematics Institute, University of Warwick.
- https://warwick.ac.uk/fac/sci/maths/people/staff/john_smillie/johnsmillie-cv.pdf Curriculum Vitae
- Web site: Obituary Anna K. Smillie (1929–2020). Cremation Society of the Carolinas.
- Book: Smillie, John . Dynamics in two complex dynamics . Proceedings of the ICM . Beijing . 2002. 3. 373–382. math/0304458.
External links