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Mohammad Javad Latifi
PhD Student, University of Arizona, Mathematics Department
Office:
Math Building 509Research Interest:
Quantum Field Theory, Inverse Problems, Data ScienceAdvisor:
Douglas PickrellEmail:
mjlatifi@math.arizona.eduPublications
1.Lattice models and super telescoping formula, MJ Latifi, under review, 2021. 2.Exponential of the S^1 trace of the free field and Verblunsky coefficients, MJ Latifi, Doug Pickrell, Accepted for publication in Rocky Mountain Journal of Mathematics, 2020. 3.Inversion and Symmetries of the Star Transform, G Ambartsoumian, MJ Latifi, The Journal of Geometric Analysis, 31 (2021), pp 11270-11291. 4.Generalized V-line transforms in 2D vector tomography, G Ambartsoumian, MJ Latifi, RK Mishra, Inverse Problems, Vol.36 (10),2020. 5.The V-line transform with some generalizations and cone differentiation, G Ambartsoumian, MJ Latifi, Inverse Problems, Vol.35 (3),2019. 6.Inversion of the star transform, Gaik Ambartsoumian, MJ Latifi, in Tomographic Inverse Problems: Theory and Applications, Oberwolfach Reports, EMS, 2019. 7.Graph Spanners: A Tutorial Review, MJ Latifi, Reyan Ahmed, Alon Efrat, Keaton Hamm, Stephen Kobourov, Faryad Darabi Sahneh, Richard Spence, Computer Science Review, 2020. 8.Approximation algorithms and an integer program for multi-level graph spanners, MJ Latifi, Reyan Ahmed, Keaton Hamm, Stephen Kobourov, FD Sahneh, Richard Spence. Analysis of Experimental Algorithms, SEA 2019. 9.A General Framework for Multi-level Subsetwise Graph Sparsifiers , with Reyan Ahmed, Keaton Hamm, Stephen Kobourov, Faryad Darabi Sahneh, Richard Spence. See Google Scholar page for more.
Check out My CV.
Radars and Autonomous Cars at Lunewave:
In the summer of 2019, I was involved in a cool project at lunewave working on Radars and Autonomous Cars. During this period, as an intern, I worked on algorithms to track and classify objects, implementing a C++ GUI software for the analysis and visualization of the Radar data. Here is a video demonstration of my GUI software.
Orthogonal Polynomials on \( S^1 \) and Verblunsky Correspondence
Above animation visualizes the 5th orthogonal polynomial on the circle with respect to the background measure \( d\mu = (1-cos \theta) \frac{d\theta}{2\pi} \). This polynomial can be seen as a section of a fiber bundle on \( S^1 \) with the fiber being the set of complex numbers.
In my current project, we study a new family of measures \( d\mu = (1-cos \theta)^a \frac{d\theta}{2\pi} \) establishing the corresponding Verblunsky sequence and orthogonal polynomials.