Babak Modami's Homepage

Me in the math corridor   

I am a Milnor Lecturer at Institute for Mathematical Sciences and Mathematics Department of Stony Brook University.

I can be reached via:
Office: Math Tower 3-114.
Mailing address:
Institute for Mathematical Sciences, Stony Brook University,
Stony Brook, NY 11794-3660.
E-mail: babak.modami@stonybrook.edu



My main areas of research are hyperbolic geometry, geometric analysis and geometric topology. Here is my CV.
In particular, I am interested in the geometric and dynamical properties of several naturally defined metrics on Teichmüller space
and moduli spaces of Riemann surfaces such as Teichmüller, Weil-Petersson and Lipschitz metrics.



Publications and preprints  

  1. Short curves of Teichmüller geodesics, revised,
    preprint.

  2. Limit sets of Weil-Petersson geodesics with non-minimal ending laminations,
    (with Jeffrey Brock, Christopher Leininger and Kasra Rafi)
    J. Topol. Anal. to appear. arXiv:1711.01663.

  3. Bottle-necks for Weil-Petersson geodesics,
    (with Yair Minsky)
    preprint.

  4. No backtracking of Thurston geodesics,
    (with Anna Lenzhen, Kasra Rafi and Jing Tao)
    preprint.

  5. Teichmüller geodesics with d-dimensional limit sets,
    (with Anna Lenzhen and Kasra Rafi)
    J. Mod. Dyn. 12 (2018), 261-283. arXiv:1608.07945.

  6. Limit sets of Weil-Petersson geodesics,
    (with Jeffrey Brock, Christopher Leininger and Kasra Rafi)
    Int. Math. Res. Not. IMRN published online. arXiv:1611.02197 .

  7. Limit sets of Teichmüller geodesics with nonuniquely ergodic vertical foliation II,
    (with Jeffrey Brock, Christopher Leininger and Kasra Rafi)
    J. Reine Angew Math. (Crelle's Journal) published online. arXiv:1601.03368 .

  8. Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic laminations,
    (with Jeffrey Brock)
    Geom. Topol. 19 (2015), no. 6, pp. 3565-3601. arXiv:1409.1562.

  9. Asymptotics of a class of Weil-Petersson geodesics and divergence of Weil-Petersson geodesics,
    Algebr. Geom. Topol. 16 (2016) no. 1, pp. 267-323. arXiv:1401.3234.

  10. Prescribing the behavior of Weil-Petersson geodesics in the moduli space of Riemann surfaces,
    J. Topol. Anal. 7 (2015), no. 4, pp. 543-676. arXiv:1212.0051.




Teaching  

Stony Brook, Fall 2018, Calculus C (MAT 127).
For more information about this course visit CALCULUS C and BLACKBOARD.

Stony Brook, Spring 2018, Calculus C (MAT 127).
For more information about this course visit CALCULUS C and BLACKBOARD.

Stony Brook, Fall 2017, Introduction to linear algebra (MAT 211).
For more information about this course visit the course page at BLACKBOARD.

Yale, Spring 2017, Teichmüller geometry.
For more information about this course visit the course page at CANVAS.

Yale, Spring 2017, Linear algebra with applications.
For more information about this course visit the course page at CANVAS.

Yale, Fall 2016, From Euclid to Einstein, a basic geometry course for non Math majors.

Yale, Spring 2016, a reading seminar about the Weil-Petersson geodesic flow.

Yale, Fall 2015, a graduate course about geometry and dynamics of moduli spaces.

UIUC, Spring 2015, Discrete Mathematics.

UIUC, Spring 2014, Applied linear algebra.

UIUC, Fall 2013, Discrete Mathematics.