Center for         Dynamics Geometry

Penn State Ph.D.'s in Dynamics and Geometry  and their progress

Mathematics Department

• David Mieczkowski, (mieczkow@math .psu.edu) --- Cornell Business School
  Thesis advisor: Anatole Katok;
  Thesis Title: The Cohomological Equation and Representation Theory

• Anna Mummert (anna@math.psu.edu) --- Visiting Research Instructor, Michigan State University
  Thesis advisor: Yakov Pesin;
  Thesis Title: Thermodynamic Formalism for Nonuniformly Hyperbolic Dynamical Systems

• Travis Fisher, (fisher@math.psu.edu) --- Bloomberg, New York
  Thesis advisor: Anatole Katok;
  Thesis Title: Some Results In Hyperbolic Dynamics

• Dan Genin, (genin@math.psu.edu):  Penn State Mathematics Department and Penn State Business School
  Thesis advisor: Sergei Tabachnikov
  Thesis Title: Regular and chaotic dynamics of outer billiards
• Yulia Tyurina, (tiourina@math.psu.edu): 
  Thesis advisor: Sergei Tabachnikov
  Thesis Title: Skew embeddings and immersions of manifolds into Euclidean spaces in codimension two

• Danijela Damjanovic
(damjanov@math.psu.edu) - Benjamin Pierce Instructor, Harvard University
Thesis Advisor: Anatole Katok
Thesis Title: Local rigidity of partially hyperbolic actions on the torus

• Svetlana Krat
(krat@math.psu.edu) - Georgia Institute of Technology
Thesis Advisor: Dmitry Burago
Thesis Title:

• David Shoenthal
(dws@math.psu.edu) - Longwood University, Assistant professor.
Thesis Advisor: Dmitry Burago
Thesis Title: Several Results Concerning Low-Dimensional Length Spaces

• Anna Talitskaya
(anjuta@math.psu.edu) - Northwestern University
Thesis Advisor: Yakov Pesin
Thesis Title: Partially hyperbolic phenomena in dynamical systems with discrete and continuous time

• Ilie Ugarcovici
(idu@math.rice.edu) - Assistant Professor, DePaul University
Thesis Advisor: Anatole Katok and Svetlana Katok
Thesis Title: Symbolic dynamics for geodesic flows, hyperbolic measures and periodic orbits

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• Filiz Dogru
(dogru@math.psu.edu) - Grand Valley State University, Assistant Professor
Thesis Advisor: Sergei Tabachnikov
Thesis Title: Polygonal Outer Billiards in the Hyperbolic Plane

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• Alexander Dryakhlov
(dryakh_a@math.psu.edu)
Thesis Advisor: Arkady Tempelman
Thesis Title: On Hausdorff Dimension of Random Fractals

• Roland Gunesch (gunesch@math.psu.edu) Professor, University of Hamburg

Thesis Advisor: Anatole Katok
Thesis Title: Precise Asymptotics for Periodic Orbits of the Geodesic Flow in Nonpositive Curvature

• Kim Roth (kroth@wju.edu) - Wheeling Jesuit University, Assistant Professor

Thesis Advisor: Greg Swiatek
Thesis Title: Geometry of the Julia Set for Some Maps with Invariant Circles

• Alistair Windsor (windsor@math.psu.edu) - University of Texas, Austin, Instructor

2002-2004 University of Manchester, Research Associate
Thesis Advisor: Anatole Katok
Thesis Title: Liouville Phenomena in Smooth Ergodic Theory

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• Boris Kalinin (kalinin@jaguar1.usouthal.edu) - University of South Alabama, Assistant professor

2000-2003 University of Michigan, Assistant Professor
Thesis Advisor: Anatole Katok
Thesis Title: Rigidity of Invariant Measures and Joinings for Higher-Rank Abelian Actions

• Victoria Sadovskaya (sadovska@umich.edu) - University of South Alabama, Assistant professor

2000-2003 University of Michigan, Assistant Professor
Thesis Advisor: Yakov Pesin
Thesis Title: Dimensional Properties of Dynamical Systems with Discrete and Continuous Time

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• Krezimir Josic (josic@math.uh.edu) - University of Houston, Assistant Professor

Boston University
Thesis Advisor: Eugene Wayne
Thesis Title: Synchronization of Chaotic Systems

• Alexander Mezhirov - MIT, Lincoln Lab, Lexington, MA, Member of Technical Staff

Thesis Advisor: Anatole Katok
Thesis Title:  Expanding Periodic Points of One-Dimensional Maps and Boundary Behavior of Arbitrary Mappings

• Sergey Yaskolko - IBM, Transarc Lab,  11 Stanwix Str,

Pittsburgh, PA 15217, Member of Technical Staff
Thesis Advisor: Anatole Katok
Thesis Title: Rigidity of Lattice Actions on Boundaries. Coincidence of Various Dimensions Associated with Metrics and Measures

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• Tatyana Foth (foth@umich.edu) - University of Western Ontario, Assistant Professor

2000-2004 - University of Michigan, Assiatant Professor
1999-2000 - University of Arizona, Visiting Assistant Professor
Spring 1999 - Northwestern University, Visiting Assistant Professor
Thesis Advisor: Svetlana Katok
Thesis Title: Automorphic Forms on Complex Hyperbolic Spaces

• Serge Ferleger - Renaissance Technologies, East Setauket, NY

1998-2000 SUNY Stony Brook, Simons Instructor
Thesis Advisor: Anatole Katok
Thesis Title: Alexandrov Geometry and Dynamics of Semi-Dispersing Billiards on Riemannian Manifolds

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• Moisey (Misha) Guysinsky ( guisin_m@math.psu.edu) - Penn State University, Visiting Assistant Professor

1997-2000 Tufts University, Assistant Professor
Thesis Advisor: Anatole Katok
Thesis Title: Normal forms of extensions

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• Luis Barreira, (barreira@math.ist.utl.pt) - Instituto Superior Tecnico, 1096 Lisbon, Portugal, Professor

Thesis Advisor: Yakov Pesin
Thesis Title: A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems

• Alexey Kononenko; - Renaissance Technologies, East Setauket, NY

1996-1998 - University of Pennsylvania, Two-year Lecturer
Thesis Advisor - Anatole Katok
Thesis Title: Duality method for cohomologies of dynamical systems: differential and cohomological rigidity of lattice actions

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• Miaohua Jiang ( jiang@math.wfu.edu) - Wake Forest University, Assistant Professor

1996-1997-Georgia Institute of Technology, Postdoc
1997-1998 - University of Minnesota, Postdoc
Thesis Advisor: Yakov Pesin
Thesis Title: Ergodic properties of coupled map lattices of hyperbolic type

• Viorel Nitica ( vnitica@wcupa.edu) - West Chester University, Associate Professor

1998-2000 - Notre Dame University, Visiting Assistant Professor
1997-1998 - Penn State, Instructor
1995-1997- Indiana University, Visiting Assistant Professor
Thesis Advisor: Anatole Katok
Thesis Title: Rigidity of partially hyperbolic actions

• Andrei Torok (torok@math.uh.edu) - University of Houston - Associate Professor

1995-1999 - Princeton University - Instructor
Thesis Advisor: Anatole Katok
Thesis Title: Cohomology of dynamical systems

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• Mirko Degli Esposti ( esposti@dm.unibo.it)- Universita di Bologna, Italy, Associate Professor

Thesis Advisor: Anatole Katok
Thesis Title: Classical and quantum equidistribution: an (easy) example

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