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Applied Mathematics and Statistics

DEPARTMENT CHAIR:                   LEON TAKHTAJAN
GRADUATE PROGRAM DIRECTOR: (Ph.D.) CLAUDE LEBRUN
                                                   (M.A.) DAVID EBIN
                                                   (M.A.) OLEG VIRO

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Singly Authored Publications

Di Cerbo, Luca Fabrizio. (2010).  Finite volume complex hyperbolic surfaces, their toroidal compactifications, and geometric applicationsThe arXiv:1101.4263v1.
               
Popa, Alexandra. (2011).  The genus one Gromov-Witten invariants of Calabi-Yau complete intersections.  (Accepted for publication).    Transactions of the American Mathematical Society.

Tian, Zhiyu. (2011).  Weak approximation for isotrivial familiesThe arXiv:1007.3534v2 [math.AG].

Tian, Zhiyu. (2011).  Symplectic geometry of rationally connected threefolds.  The arXiv:1006.2486v1[math.AG] [Submitted at Duke Mathematical Journal].


Jointly Authored Publications

Popa, A. & Zinger, A (2011).  On mirror formulas in open and closed Gromov-Witten theoryThe arXiv:1010.1946v1 [math.AG].

Wright, Evan P. (2011).  Quotients of gravitational instantons.  Annals of Global Analysis and Geometry, (35): 267-275.


Abstracts, Conferences/Colloquia, Invited Talks, Presentations

Basu, Somnath. (2011).  Transversal string topology and invariants of Manifolds [Session]
Union College Mathematics Conference, Schenectady, NY.

Basu, Somnath. (2011).  Transversal string topology and invariants of manifolds [Session]
AMS Sectional Meeting, Worcester, MA.

Basu, Somnath. (2011).  Transversal string topology and diffeomorphism invariants [Session] FRG-CHERN-SIMONS Workshop, University of California, Berkeley, CA.

Di Cerbo, Luca Fabrizio. (2011).  Finite volume complex hyperbolic surfaces, their toroidal
compactifications, and geometric applications. [Seminar]  Geometry-Topology seminar, University of Pennsylvania, Philadelphia, PA.

Di Cerbo, Luca Fabrizio. (2010).  Finite volume complex hyperbolic surfaces and Seiberg-Witten equations.  [Conference].  Progressi Recenti in Geometria Reale e Complessa,
Levico Terme.  Trento, Italy.

Di Cerbo, Luca Fabrizio. (2010).  Seiberg-Witten equations on Finite volume Kahler surfaces and obstructions to the existence of cuspidal Einstein metrics, Universita' di Roma "La Sapienz,” Rome, Italy.

Di Cerbo, Luca Fabrizio. (2010).  Seiberg-witten equations on surfaces of general type, Universita' di Roma "La Sapienza," Rome, Italy.

Disconzi, Marcelo. (2011).  A compactness theorem for the Yamabe problem on manifolds with boundary [Short Talk]  Barrett Memorial Lectures in Mathematical Relativity, University of Tennessee, Knoxville, TN.

Popa, Alexandra, Zinger, A. (2011).  On mirror formulas in open and closed Gromov-Witten theory.  [Talk]   Columbia Symplectic Geometry, Gauge Theory, and Categorification Seminar.  New York, NY.

DaTian, Zhiyu. (2011).  Symplectic deformation invariance of rationally connected 3-folds Algebraic Geometry Seminar, Princeton University, Princeton, NJ.

Tian, Zhiyu. (2010).  Geometry and Physics Seminar, University of Michigan, Ann Arbor, MI.

Tian, Zhiyu. (2010).  Oct. 26, Algebraic geometry seminar: Symplectic geometry and rationally connected varieties.  Algebraic Geometry Seminar Rice University, Houston, TX.


Post-Doctorates Obtained and Professional Appointments

Di Cerbo, Luca Fabrizio. (2011).  3-year Simons Post-Doctoral Fellowship by Duke University.

Tian, Zhiyu. (2011).  Appointed Olga Taussky and John Todd Instructor in Mathematics at California Institute of Technology.