Research Interests:
- Optimization:
Convex Optimization, Optimization on (Matrix) Manifolds
- Geometric Analysis:
Analysis on Hadamard Spaces, Metric Geometry, Non-linear Ergodic Theory
- Mathematical Physics:
Distribution Theory, Operator Theory, Mathematics of Quantum Theory
Publications:
- Representation and Spacetime: The Hole Argument Revisited, (with A. Yaghmaei, S. Masoumi and M. Moniri), International Studies in Philosophy of Science, 2022.
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- Newton’s optimization method in geodesic spaces (in Persian). FARHANG VA ANDISHEH YE RIAZI, Iranian Mathematical Society, 40, n0. 69, 23-46, 2022.
- The exponential of quasi block-Toeplitz matrices, (with E.Bolourchian) Acta Mathematica Scientia, 42, 1018–1034, 2022.
- Approximate Diagonalization of some Toeplitz Operators and Matrices, (with Nobari) Linear and Multilinear Algebra, 2021.
- An approximate method for structured distance to normality of Toeplitz operators, (with E.Bolourchian) Quarterly of Applied Mathematics, 79, 431-443, 2021.
- Wasserstein barycenters in the manifold of all positive definite matrices, (joint with Nobari) Quarterly of Applied Mathematics, AMS 77 655-669, 2019.
- Strongly continuous semigroups on locally finite graphs, Quaestiones Mathematicae, Vol. 42, Issue 10, ,1301-1311, 2019.
- A geometric mean for Toeplitz and Toeplitz-block block-Toeplitz matrices, (joint with Nobari) Linear Algebra and its Applications, Vol. 548, 189-202, 2018.
- A note on co-accretive operators and gradient flows in Hadamard spaces, Journal of Nonlinear and Convex Analysis, Vol. 18, No. 12, 2199-2208, 2017.
- Nonlinear ergodic theorems for amenable semigroups of nonexpansive mappings in Hadamard spaces, Journal of Fixed Point Theory and Applications, No.17, 717-731, 2015.
- Weak topologies in complete CAT(0) metric spaces, Proc. Amer. Math. Soc., Vol.141, No. 3, 1029- 1039, 2013.
- Nonlinear ergodic theorems in complete nonpositive curvature metric space, (joint with Amini) Bull. Iran. Math. Soc., Vol.37, No. 3, 11-20, 2011.
- Duality and subdifferential for convex functions on complete CAT(0) metric spaces, (joint with Amini) Nonlinear Analysis, No.73, 3450-3455, 2010.
- Infinite time-dependent network equilibria with a multivalued cost function, (joint with Rouhani) Journal of Optimization Theory and Applications, Vol.131, No.3, pp.405-451, 2006.
Some Talks:
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Structured distance to normality of Toeplitz operators, SIAM Conference on Applied Linear Algebra 2021 . (Invited)
- Education via history of concepts, SBU-TALK 2018. Video
- Gradient flows and non-linear ergodic theorems in non-positively curved spaces, Tehran University, 2016. Slides
- Semigroups on Hadamard space, 46th Iranian Mathematics Conference, Yazd University, 2015.
- Curvature in Metric Spaces, Sharif University of Technology, 2013.
- Some remarks on weak convergence and weak topologies in complete CAT(0) metric spaces, International Conference In Modern Analysis, Donetsk National University, 2011.
- Noncommutative metrics: N. Weaver approach, Noncommutative Geometry Seminar, Tarbiat Modares University, 2006.
- An application of undergraduate mathematics in sciences, Iranian Mathematical Education Conference, Tehran 1999 (joint with Prof. Behzad).