Mohammad Javad Latifi

Research Associate

Dartmouth College, Department of Mathematics

Office:

Room 209

Research Interest:

Quantum Field Theory, Inverse Problems, Data Science

Email:

mohammad.javad.latifi.jebelli@dartmouth.edu

Publications

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.

Some Visualizations that I made for my vector calculus students at University of Arizona.

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.