ACADEMIC POSITIONS. Visiting Positions

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1 1 Amie Wilkinson Department of Mathematics, Northwestern University 2033 Sheridan Road Evanston, Illinois (847) ACADEMIC POSITIONS Professor of Mathematics, Northwestern University, 2005 present. Associate Professor of Mathematics, Northwestern University, Assistant Professor of Mathematics, Northwestern University, Boas Assistant Professor of Mathematics, Northwestern University, Benjamin Peirce Instructor, Harvard University, Visiting Positions Visiting Professor, University of Chicago, Fall and Spring Quarters Professeur Invité, Université de Bourgogne, May 2002 and Sept Member, Institut des Hautes Etudes Scientifiques (IHES), Summer 1993, 1996, Visitor, IBM T.J. Watson Labs, Yorktown NY, Winter 1992 and 1994, Summer 1997, 1998, 2000, and Graduate Research Assistant, The Center for Nonlinear Studies, Los Alamos National Laboratories, Summer, EDUCATION Ph.D. in Mathematics, University of California, Berkeley, May 1995 A.B. in Mathematics, Harvard University, June 1989 DATE OF BIRTH April 4, U.S. citizen.

2 Amie Wilkinson 2 RESEARCH INTERESTS Ergodic theory and smooth dynamical systems Geometry and regularity of foliations Actions of discrete groups on manifolds GRANTS AND FELLOWSHIPS National Science Foundation (NSF) Grant Partial Hyperbolicity and rigidity ($300, 000) NSF Grant Emphasis Year in Dynamical Systems at Northwestern University, $105,238 (co-pi) NSF Grant Partial Hyperbolicity and the Structure of Diffeomorphism Groups ($260, 381) NSF Grant Partial Hyperbolicity and Rigidity ($216, 277) NSF Grant International Workshop on Global Dynamics Beyond Uniform Hyperbolicity ($22, 100) 2006 NSF Grant Ergodic and Geometric Properties of Diffeomorphisms ($108, 000) NSF Grant Conference on Robustness and Partial Hyperbolicity ($21, 000) 2003 NSF Grant Conference on Partial Hyperbolicity ($17, 800) 2001 NSF Grant, Interdisciplinary Graduate Education, Research and Training (IGERT) program, NSF Postdoctoral Research Fellowship, IBM Graduate Research Fellowship, NSF Graduate Research Fellowship, PhD STUDENTS Elizabeth Burslem (Ph.D. 2002, postdoc at U. Michigan.) Todd Fisher (Ph.D. 2004, VIGRE postdoc at U. Maryland. Currently tenure-track at Brigham Young.) Anne McCarthy (Ph.D. 2006, postdoc at Temple, currently tenuretrack at Fort Lewis College)

3 Amie Wilkinson 3 Kalman Nanes (Ph. D. 2009, Visiting Professor at Northwestern University) Daniel Visscher (passed qualifying exam, September 2008) Zhenghe Zhang (passed qualifying exam, April 2010) PUBLICATIONS All preprints are available at: wilkinso/papers/papers.html. 1. Absolute continuity, Lyapunov exponents and rigidity (with A. Avila and M. Viana), in preparation. 2. The Weil-Petersson geodesic flow is ergodic (with K. Burns and H. Masur), preprint (80 pages). 3. Conservative partially hyperbolic dynamics, (expository article for ICM proceedings), preprint. 4. The cohomological equation for partially hyperbolic diffeomorphisms, submitted (80 pages). 5. Nonuniform center bunching and the genericity of ergodicity among C 1 partially hyperbolic symplectomorphisms (with A. Avila and J. Bochi), Ann. Sci. École Norm. Sup. 42 (2009), no. 6, The C 1 -generic diffeomorphism has trivial centralizer (with C. Bonatti and S. Crovisier) Publ. Math. IHES 109 (2009), Smooth ergodic theory (expository article for Encyclopedia of Complexity and System Science, Springer-Verlag.) (25 pages). 8. C 1 -generic conservative diffeomorphisms have trivial centralizer, (with C. Bonatti and S. Crovisier) J. Mod. Dyn. 2 (2008) Local density of diffeomorphisms with large centralizers, (with C. Bonatti, S. Crovisier, and G. Vago) Ann. Sci. École Norm. Sup. 41 (2008), Dynamical coherence and center bunching (with K. Burns) Discrete Contin. Dyn. Syst., 22 (2008), The centralizer of a C 1 generic diffeomorphism is trivial (with C. Bonatti and S. Crovisier), Elect. Res. Ann. Math. Sci. 15 (2008), On the ergodicity of partially hyperbolic systems (with K. Burns), Ann. Math. 171, (2010) ,

4 Amie Wilkinson A note on stable holonomy between centers (with K. Burns), preprint (10 pages). 14. Transitive partially hyperbolic diffeomorphisms on 3-manifolds, (with C. Bonatti), Topology 44 (2005), no. 3, Global rigidity of solvable group actions on S 1, (with L. Burslem), Geometry and Topology, 8 (2004), Abundance of stable ergodicity, (with C. Bonatti, C. Matheus and M. Viana), Comment. Math. Helv., 79 no. 9 (2004) Partial differentiability of invariant splittings, (with C. Pugh and M. Shub), J. Stat. Phys., 144 (2004), Random versus deterministic exponents in a rich family of diffeomorphisms, (with F. Ledrappier, C. Simo and M. Shub), J. Stat. Phys., 113 (2003), no Stable accessibility is C 1 dense (with D. Dolgopyat), Astérisque, 287 (2003), Recent results about stable ergodicity (with K. Burns, C. Pugh and M. Shub), Proc. Symposia A.M.S., 69 (2001) Absolutely singular dynamical foliations (with D. Ruelle), Commun. Math. Phys., 219 (2001), no. 3, Pathological foliations and removable zero exponents (with M. Shub), Invent. Math., 139 (2000), no. 3, Hölder regularity of horocycle foliations (with M. Gerber), J. Diff. Geom., 52 (1999), no. 1, Stable ergodicity of skew products (with K. Burns), Ann. Scient. de l Ecole Norm. Sup., 32 (1999), no. 6, Stably accessible approximations: two examples (with M. Shub), Ergod. Th. Dynam. Syst., 20 (2000), no. 3, Stable ergodicity and Anosov flows (with K. Burns and C. Pugh), Topology, 39 (2000), no. 1, Prevalence of non-lipschitz Anosov foliations (with B. Hasselblatt), Ergod. Th. and Dynam. Syst., 19 (1999), no. 3, Prevalence of non-lipschitz Anosov foliations (with B. Hasselblatt), Elect. Res. Ann. AMS, 3 (1997), Hölder foliations (with C. Pugh and M. Shub), Duke Math. J. 86, no.3 (1997),

5 Amie Wilkinson Stable Ergodicity of the Time-One Map of a Geodesic flow, Ergod. Th. Dynam. Syst., 18 (1998), no. 6, When an infinitely-renormalizable endomorphism of the interval can be smoothed (with C. Tresser), Fractals 3 no. 4 (1995), Circuits in Cayley digraphs of finite abelian groups, J. Graph Theory, 14 no.1 (1990), SELECTED INVITED TALKS Conferences: 1. Fifth Ahlfors-Bers Colloquium, Rice University, Houston, March 24-27, Geometry and analysis of Riemann surfaces and their moduli in honor of Scott Wolpert, Maryland, September International Congress of Mathematicians, Hyderabad, August 2010 (Invited speaker, Dynamical systems and ordinary differential equations session). 4. International Conference on Dynamical Systems. Celebrating the 70th anniversary of Jacob Palis, Buzios, Rio de Janeiro, February AMS-MAA Joint Meeting, San Francisco, January, 2010 (AMS Invited Address). 6. Progress in Dynamics, Institut Henri Poincare, Paris, November, International Congress in Mathematical Physics, Prague, August 2009 (Invited speaker Mechanics and Dynamical Systems session), August From braid groups to Teichmüller spaces CIRM, Luminy, June, AMS-SBM Joint Meeting, Rio de Janeiro, June, 2008 (Invited address). 10. Hyperbolic Dynamical Systems, Schrödinger Institute, Vienna, June, 2008 (minicourse). 11. Equadiff, Vienna, August 2007 (plenary address). 12. Communicating Mathematics, Duluth, July Nonuniformly Hyperbolic Dynamics and Smooth Ergodic Theory (Pesin birthday conference), Lisbon, June 2007.

6 Amie Wilkinson Southern California Topology Conference, Pasadena, January Differentiable Dynamics and Smooth Ergodic Theory, CMS Winter Meeting, Toronto, December, Workshop in Dynamics and Related Topics, Penn State, November School and Workshop on Dynamical Systems IMPA, Rio de Janeiro, January, 2006 (5 hour minicourse). 18. International Conference on Dynamical Systems, Angra dos Reis, Brazil, August, Colloquium in Dynamical Systems and Smooth Ergodic Theory, Bordeaux, France, June, SIAM Conference on Applications of Dynamical Systems, Snowbird Utah. May, 2005 (one hour talk). 21. International Conference on Robustness and Partial Hyperbolicity, Buzios, Brazil. October, Conference in Honor of Michael Shub, Berkeley, August, 2003 (conference organizer). 23. Midwest Dynamical Systems, Spring American Mathematical Society Western Sectional Meeting, Salt Lake City, October 2002 (plenary address). 25. Bloomington Geometry Workshop, April International Conference on Dynamical Systems, IMPA (Rio de Janeiro), July International Conference on Dynamical Systems and Differential Equations, Kennesaw State University, May, International Seminar on Dynamics, Abbaye de la Bussière, Bourgogne, July Global Analysis: 30 years later, University of Cincinnati, March Spring Topology and Dynamics Conference, George Mason University, March Penn State Dynamics Workshop, October 1997, and October Midwest Dynamics Seminar, Austin TX, February Workshop on Ergodic Theory, Geometry and Arithmetic, Vienna, February 1997.

7 Amie Wilkinson 7 Colloquia: U.C. Berkeley, Brigham Young, Caltech, U. Chicago, De Paul, Georgia Tech, Harvard, Univ, of Houston, U. of Maryland, U. of Illinois Chicago, Michigan State Univ., Notre Dame, Rice, Univ. of Texas, Vassar College, Wayne State U., U. de Bourgogne. Seminar talks: U.C. Berkeley, U. of Chicago, Cornell, Harvard, U. Illinois Chicago, U. Illinois, IHES, IMPA, U.C. Irvine, U. Maryland, U. Michigan, MIT, MSRI, Northwestern, Notre Dame, Purdue, Rice, U. Toronto, Tufts, U. Washington. American Mathematical Society Special Sessions: Smooth Dynamical Systems, Chicago, October 2007; Organizer (with F. Ledrappier) Special Session in Dynamical Systems, Notre Dame, April, 2006; Rigidity in Geometry and Dynamics, Chicago, September 1998; The Dynamics and Topology of Low Dimensional Flows, Atlanta, October 1997; Hyperbolic Dynamics, Boston, October 1995; Conformal Dynamics, Vancouver, August SERVICE TO MATHEMATICAL COMMUNITY Conferences co-organized: International Conference on Global Dynamics Beyond Uniform Hyperbolicity, Luminy, June, International Conference on Global Dynamics Beyond Uniform Hyperbolicity, Beijing, August, Spring 2008 Meeting of the Workshop on Dynamical Systems and Related Topics in honor of Michael Brin, University of Maryland, March, Dynamics and Complexity in People and Societies (Northwestern Institute on Complex Systems Lecture Series), Northwestern, October, International Conference on Global Dynamics Beyond Uniform Hyperbolicity, Chicago, May, Conference in Honor of Michael Shub, Berkeley, August, Conference on Partially Hyperbolic Dynamics, Northwestern, May, Midwest Dynamical Systems Conference, Northwestern, Fall, 2000, Spring 2001 and Fall, 2005.

8 Amie Wilkinson 8 Editorial boards: Algebraic and Geometric Topology (2007 ), Chaos (2002 ), Ergodic Theory and Dynamical systems (2007 ), Journal of Modern Dynamics (2006 ), and Transactions of the AMS ( ). Panelist, National Science Foundation, Washington D.C. 2003, 2008, AMS-appointed member, NSF Postdoctoral Fellowships panel, 2005, 2006.