The Personal Homepage of
Mohamad Reza Pouryayevali

Department of Mathematics,
University of Isfahan

Research

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Research interest:

• Nonlinear analysis on Riemannian manifolds,

• Geometric control theory.

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Former Ph.D. students :

H. Radmanesh (2018). Thesis:  Differential inclusions on Riemannian manifolds.

S. Khajehpour (2016). Thesis : Viscosity solutions of second order partial differential

equations with boundary conditions on Riemannian manifolds. (Currently: Postdoctoral fellow at IPM Tehran)

E. Ghahraei (2015). Thesis: Nonsmooth monotone vector fields on

Riemannian manifolds.

S. Hosseini,  (2011). Thesis: Nonsmooth analysis and its applications
on Riemannian manifolds. (Postdoctoral fellow at ETH Zurich 2012-2014.                                                                                                                Currently: postdoctoral fellow at  Hausdorff Center for Mathematics, University of Bonn, Germany )

A. Barani, (2008), Thesis: Generalized convexity on Riemanian
manifolds.
 

Former M.Sc. students :

M. Yazdanifard, M.Sc. (2019). Thesis: The differentiability of the distance function on sub-Riemannian and sub-Lorentzian manifolds.

H. Baharvand, M. Sc. (2017). Thesis: A connection theoretic approach to sub-Riemannian geometry.

M. Karamifard, M. Sc. (2017). Thesis: Set-valued vector field on Riemannian manifolds and theirs applications.

M. Montazerlghaem,  M.Sc. (2016). Thesis:  Connections and curvature in  sub-Riemannian
geometry.

F. Tavakoli, M.Sc. (2016). Thesis: Semi-Riemannian  geometry
with bracket generating constraints.

M. Yadegari, M.Sc. (2015). Thesis: Morse-Sard type result in sub-Riemannian geometry.

M. Keshavarzi, M.Sc. (2014). Thesis:  Shortest paths for sub-Riemannian metrics
on rank-two distributions.

R. Ghassemi, M.Sc. (2014). Thesis:  A variational  approach to sub-Riemannian geometry.
 

A. Fattahi, M.Sc. (2013). Thesis: Sub-Riemannian geodesics.

M. Atashafrooz, M.Sc. (2013). Thesis: A general inequality for conformally
at submanifolds and its applications.

S. Roknizadeh, M.Sc. (2013). Thesis: Variational inequalities on Riemannian
manifolds.

M. Rahimi Piranfar, M.Sc. (2012). Thesis: Strong local minimums on Rie-
mannian manifolds.

M. Sattarzadeh, M.Sc. (2012). Thesis: Monotone vector elds on Hadamard
manifolds.

M. Pajhohiani, M.Sc. (2011). Thesis: Proximal point methods for classes of
convex and non-convex functions on Hadamard manifolds.

M. Soltani, (M.Sc. 2010), Thesis: Set valued mapping on Riemannian
manifolds and their applications.

E. Ghahraei, (M.Sc. 2009), Thesis: Newton's methods and solving
Nonsmooth equation linear spaces and Riemannian manifolds.

A. Malverdi, (M.Sc. 2009), Thesis: Generalized subdifferential for
quasiconvex functions.


S. Misaghi, (M.Sc. 2009), Thesis: Open Mapping and Implicite
Function Theorems for Nonsmooth Functions and Their applications
on Riemannian Manifolds.

M. Alavi, (M.Sc. 2008), Thesis: Hamilton Jacobi equations on
Riemannian manifolds.

F. Amani, (M.Sc. 2008), Thesis: Techniques of nonsmooth analysis on
Riemannian manifolds.

Z. Saedi, (M.Sc. 2008), Thesis: Reqularization of convex functions on
Riemannian manifolds,

S. Fatehi, (M.Sc. 2008), Thesis: Locally Lipschitz functions on
Riemanian manifolds.

S. Fazel, (M.Sc. 2007), Thesis: Proximal point algorithm on
Riemanian manifolds.

M. Hosseini (M.Sc.2007), (joint with S. Nobakhtian) Thesis:
Necessary conditions in Nonsmooth optimal control problems.

S. Hosseini (M.Sc. 2007), Thesis: Smooth approximation of
Lipschitz functions on Riemannian manifolds.


A. Kamali (M.Sc. 2007), Thesis: Second order optimality condition
in liner and linear optimization.

A. Badakhshian (M.Sc. 2006) (joint with S. Nobakhtian),Thesis: A
characterization for continious-time optimization problems.

Z. Kamali (M.Sc. 2006), Thesis: Subdifferetiability of function on
Riemanian manifolds.

M. Salamatbakhsh (M.Sc. 2006), Thesis: Subgradient method for optimization problems with nonlinear constraints.

M. Heydarian (M.Sc. 2006), Thesis: Dynamic programming for optimal
control problems on nonliear spaces.

M. Solaimani (M.Sc. 2005), Thesis: Characterizations of hyperbolic
manifolds.

F. Asgari (M.Sc. 2005), Thesis: Convexity of Kobayashi metric on
complex. manifolds.