Dr. Mohammad Javaheri

Email: mjavaheri@siena.edu
Office: Roger Bacon Hall 448
Phone: (518) 783-4201

Personal Website

Education

B.S., Mathematics, 1999, Sharif University of Technology, Iran

Ph.D., Mathematics, 2005, Stony Brook University, Stony Brook, NY

Courses Taught

• Calculus I, II, and III
• Foundations of Mathematics
• Euclidean and Non-Euclidean Geometry
• Differential Equations
• Linear Algebra
• Real Analysis
• Complex Analysis
• Discrete Mathematics
• Statistics

Research Interests

Differential Geometry, Dynamical Systems, Number Theory.

Recent Publications

1. A Collatz-type conjecture on the set of rational numbers, J. Number Theory 132 (2012), no. 11, 2582--2594.
2. Dense 2-generator subsemigroups of 2x2 matrices, J. Math. Anal. Appl. 387 (2012) 103--113.
3. Semigroups of matrices with dense orbits, Dyn. Syst. 26 (3) (2011), 235--243.
4. Topologically transitive semigroup actions of real linear fractional transformations, J. Math. Anal. Appl. 368 (2010), 587--603.
5. Rigidity of conformally compact manifolds with the round sphere as the conformal infinity, Adv. Math. 224 (2010) 525--538. Joint with Satyaki Dutta.
6. On a property of plane curves, J. Math. Anal. Appl. 361 (2010), 332--337.
7. Convergence of Ricci flow on R^2 to flat space, J. Geom. Anal. (2009), no. 19, 809--816. Joint with James Isenberg.
8. Chord theorems on graphs, Proc. Amer. Math. Soc. 137 (2009), 553--562.
9. A generalization of Dirichlet approximation theorem for the affine actions on real line, J. Number Theory 128 (2008), no. 5, 1146--1156.
10. Dirichlet problem on locally finite graphs, Discrete Appl. Math. 155 (2007), no. 18, 2496--2506.
11. A new arrangement inequality, J. Inequal. Pure Appl. Math. 7 (2006), no. 5, Article 162.