Curriculum Vitae of Saeed Zakeri

Education.

• (1994-1999) Ph.D. in Mathematics, Stony Brook University
  Thesis: Dynamics of Cubic Siegel Polynomials
  Thesis Adviser: John W. Milnor

• (1990-1992) M.Sc. in Mathematics, University of Tehran
  Thesis: Dynamics of Singular Holomorphic Foliations on $\mathbb{CP}(2)$
  Thesis Adviser: S. Shahshahani

• (1986-1990) B.Sc. in Electronic Communication Engineering, University of Tehran
  Thesis: On Generalized Prey-Predator Models
  Thesis Adviser: C. Lucas

Employment.

• (2006- ) Graduate Center of CUNY (joint appointment)

• (2004- ) Queens College of CUNY

• (2002-2004) Institute for Mathematical Sciences, Stony Brook University

• (1999-2002) University of Pennsylvania

Fields of Interest.

• Dynamical Systems, especially Holomorphic Dynamics

• Complex Analysis, (Trans-)Quasiconformal Mappings, Riemann Surfaces

• Hyperbolic Geometry and Kleinian Groups

• Foliations and Laminations

Grants and Awards.

• (2005- ) PSC-CUNY research grant

• (1999 and 2003) NSF grant

• (1998) James Simons Prize for excellence in research, Department of Mathematics, SUNY at Stony Brook

• (1995) Award of Honor for Excellence in Teaching, Department of Mathematics, SUNY at Stony Brook

• (1992) Ranked first in the nationwide fellowship examination for Ph.D. in Mathematics, Iran

• (1990) Ranked first in the nationwide entrance examination for M.Sc. in Mathematics, Iran

• (1989 and 1990) Prize of the Iranian Mathematical Society National Mathematics Competition

Books.

• A Course in Complex Analysis, Princeton University Press, 2021, ISBN: 9780691207582.

• Rotation Sets and Complex Dynamics, Lecture Notes in Mathematics vol. 2214, Springer, 2018.

Papers.

• (With C. Petersen) Hausdorff Limits of External Rays: The Topological Picture, Proc. London Math. Soc. 128 (2024) e12598.

• (With C. Petersen) On the correspondence of external rays under renormalization, J. London Math. Soc. 106 (2022) 192-234.

• (With C. Petersen) Periodic Points and Smooth Rays, Conform. Geom. Dyn. 25 (2021) 170-178.

• Cyclic permutations: Degrees and combinatorial types, J. Comb. Theory Ser. A. 184 (2021) 105518.

• (With C. Petersen) On Combinatorial types of periodic orbits of the map $x \to kx \ (\text{mod} \ {\mathbb Z})$, Advances in Math. 361 (2020) 106953.

• Conformal fitness and uniformization of holomorphically moving disks, Trans. Amer. Math. Soc. 368 (2016) 1023-1049.

• (With V. Erlandsson) A discreteness criterion for groups containing screw translations, Contemp Math. 639 (2015) 235-242.

• (With V. Erlandsson)On Margulis cusps of hyperbolic 4-manifolds, Geometriae Dedicata 174 (2015) 75-103.

• On Siegel disks of a class of entire maps, Duke Math. Journal 152 (2010) 481-532.

• On boundary homeomorphisms of trans-quasiconformal maps of the disk, Ann. Acad. Sci. Fenn. 33 (2008) 241-260

• On biaccessible points of the Mandelbrot set, Proc. Amer. Math. Soc. 134 (2006) 2239-2250.

• David maps and Hausdorff dimension, Ann. Acad. Sci. Fenn. 29 (2004) 121-138

• (with C. Petersen) On the Julia set of a typical quadratic polynomial with a Siegel disk, Annals of Math. 159 (2004) 1-52

• External rays and the real slice of the Mandelbrot set, Ergod. Th. & Dyn. Sys. 23 (2003) 637-660.

• Old and New on quadratic Siegel disks, in "Shahyad," a volume dedicated to Siavash Shahshahani on the occasion of his 60th birthday, Sharif University of Technology Press, Tehran, 2002.

• Dynamics of singular holomorphic foliations on the complex projective plane, in ``Laminations and Foliations in Dynamics, Geometry and Topology,'' Contemporary Mathematics 269, Amer. Math. Soc., 2001.

• (with M. Yampolsky) Mating Siegel quadratic polynomials, J. Amer. Math. Soc. 14 (2001) 25-78.

• Dynamics of cubic Siegel polynomials, Commun. Math. Phys. 206 (1999) 185-233.

• Biaccessibility in quadratic Julia sets, Ergod. Th. & Dyn. Sys. 20 (2000) 1859-1883.

• (with D. Schleicher) On biaccessible points in the Julia set of a Cremer quadratic polynomial, Proc. Amer. Math. Soc. 128 (2000) 933-937.

• On critical points of proper holomorphic maps on the unit disk, Bull. London Math. Soc., 30 (1998) 62-66.

• (with C. Lucas) A generalized prey-predator model: Asymptotic behavior and catastrophes, Proceedings of the 1st Iranian Conference in Applied Mathematics, Amir-Kabir University, 1989.

Expository and Review Articles.

• Review of Steven Krantz's Complex Analysis: The Geometric Viewpoint, Nashr-i Riazi, 12 (2002) 71-76.

• Shahshahani's work in dynamical systems, in "Shahyad," a volume dedicated to Siavash Shahshahani on the occasion of his 60th birthday, Sharif University of Technology Press, Tehran, 2002.

• (with M. Zeinalian) When ellipses look like circles: The Measurable Riemann Mapping Theorem, Nashr-i Riazi, 8 (1996) 5-14.

Selected Invited Talks.

• (May 2024) Parameter Spaces in Complex Dynamics and Related Topics, De Giorgi Center, Pisa, Italy.

• (November 2022) Complex Dynamics in the Tropic: Celebrating the 60th birthday of Carsten Lunde Petersen, IMPA, Brazil.

• (April 2019) Dynamical Systems seminar, Department of Mathematics, Stony Brook University.

• (August 2018) International conference on orthogonal polynomials and holomorphic dynamics, Copenhagen, Denmark.

• (March 2017) GC Fest, Graduate Center of CUNY.

• (May/June 2016) North American Workshop in Holomorphic Dynamics: An international conference in honor of the 85th birthday of John W. Milnor, Cancun, Mexico.

• (March 2016) AMS Spring Eastern Sectional Meeting, Stony Brook University.

• (November 2015) Topics in complex dynamics, University of Barcelona, Spain.

• (June 2015) Joint International AMS/EMS/SPM Meeting, University of Porto, Portugal.

• (April 2015) Dynamical Systems seminar, Department of Mathematics, Stony Brook University.

• (October 2014) Dynamical Systems seminar, Department of Mathematics, Stony Brook University.

• (May 2014) Workshop on Holomorphic Dynamics: Maps with an Indifferent Fixed Point, Nanjing University, China.

• (April 2014) Complex Analysis, Dynamics and Geometry seminar, University of Michigan.

• (October 2013) Topological and Combinatorial Problems in One-dimensional Complex Dynamics, Scuola Normale Superiore, Pisa, Italy.

• (May 2011) Conference on Holomorphic and Hamiltonian Dynamical systems, Porquerolles, France.

• (July 2009) Cantor Bouquets in Hedgehogs and Transcendental Iteration, Toulouse, France.

• (June 2008) Aspects of Transcendental Dynamics, Jacobs University, Bremen, Germany.

• (April 2008) Dynamical Systems seminar, Department of Mathematics, Stony Brook University.

• (March 2007) Dynamical Systems seminar, Department of Mathematics, Stony Brook University.

• (April 2006) AMS Meeting, Durham, New Hampshire.

• (May 2005) Complex Analysis Seminar, Department of Mathematics, CUNY.

• (January 2003) Colloquium, Department of Mathematics, University of Pennsylvania.

• (November 2002) Dynamical Systems Seminar, Department of Mathematics, Boston University.

• (October 2002) Symplectic Topology and Dynamics Seminar, Courant Institute, NYU.

• (March 2002) Complex Analysis Seminar, Department of Mathematics, CUNY.

• (October 2001) American Mathematical Society meeting, Williams College, Williamstown.

• (July 2001) First joint international American Mathematical Society and Societe Mathematique de France meeting, Ecole Normale Superieure de Lyon, France.

• (March 2001) Around Dynamics: An international conference in honor of the 70th birthday of John W. Milnor, Stony Brook.

• (March 2000) Dynamics Seminar, Department of Mathematics, Cornell University.

• (March 2000) Midwest Dynamical Systems Meeting, Gainesville, University of Florida.

• (December 1998) Dynamics Seminar, Department of Mathematics, Cornell University.

• (November 1997) Analysis Seminar, Department of Mathematics, Yale University.

• (September 1997) Colloquium, Faculty of Mathematics, Technical University of Münich, Germany.

• (August 1997) Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran.

Teaching Experience.

• Graduate level courses in holomorphic dynamics, quasiconformal theory, real analysis, and complex analysis

• Minicourses on geometric complex analysis, Nevanlinna theory, holomorphic foliations, and Riemann surface laminations

• Undergraduate courses on geometry and topology, real analysis, ordinary and partial differential equations, and Fourier analysis

• Training sessions for undergraduate national mathematics contests

• Single and multivariable calculus, honors calculus, linear algebra