**Ali Mohammad Nezhad**

Mathematical Sciences

Carnegie Mellon University

Pittsburgh, Pennsylvania 15213

Office: Wean 7122

anezhad@andrew.cmu.edu

**Ali Mohammad Nezhad**

Mathematical Sciences

Carnegie Mellon University

Pittsburgh, Pennsylvania 15213

Office: Wean 7122

anezhad@andrew.cmu.edu

I am a Postdoctoral Research Associate in the Department of Mathematical Sciences at Carnegie Mellon University. I am also affiliated with the Hoskinson Center for Formal Mathematics at the Carnegie Mellon University, under supervion of Professor Jeremy Avigad. I was previously a Golomb Visiting Assistant Professor in the Department of Mathematics at Purdue University and a Visiting Scholar in the Department of Industrial and Systems Engineering at Lehigh University. I completed my PhD in Industrial and Systems Engineering from Lehigh University in 2018 under the supervision of Professor Tamas Terlaky.

My research is supported by NSF Grant CCF-2128702 and lies at the interface of optimization theory and applications, computational complexity, real/complex algebraic geometry, and applied algebraic topology. I am particularly interested in investigating the complexity in semidefinite and polynomial optimization through the lens of algorithmic real algebraic geometry and topology. My PhD research was on the optimal partition and perturbation analysis of semidefinite and second-order conic optimization problems. You can get to know about my research here.

I am organizing the Optimization, Algebra, and Geometry Seminar in the Mathematical Sciences Department in Fall 2022.

**[08/10/2022]** Professor Basu and I are organizing a special session on "Complexity and Topology in Computational Algebraic Geometry" for JMM 2023.

**[08/10/2022]** I will be teaching Matrix Algebra and Applications (21-240) in the Mathematical Sciences Department in Fall 2022.

**[07/23/2022]** I will be presenting my research "On the Complexity of Annalyticity, a Real Algebraic Geometry Approach" at ICCOPT 2022.

**[06/20/2022]** I will present my poster titled "On the Complexity of Analyticity" in CCAAGS-22.

**[05/24/2022]** Our paper** **On the Central Path of Semidefinite Optimization: Degree and Convergence Rate was published in SIAM Journal on Applied Algebra and Geometry.

**[05/16/2022]** I presented my poster titled "On the Complexity of Analyticity" in Algebraic Statistics 2022.

**[05/16/2022]** I officially started my job as a math postdoc in the Department of Mathematical Sciences at CMU.

**[05/11/2022]** Our paper On computing the nonlinearity interval in parametric semidefinite optimization was published in

**[03/08/2022]** I will be giving a talk in the session Nonlinear Constrained Optimization at IOS22.

**[03/08/2022]** Beginning May 2022, I will be a Postdoc Research Associate joint with the Hoskinson Center for Formal Mathematics and the Department of Mathematical Sciences at Carnegie Mellon University.

**[12/20/2021]** Our paper On the central path of semidefinite optimization: degree and convergence rate was accepted for publication in the SIAM Journal on Applied Algebra and Geometry.

**[10/29/2021]** Our paper On computing the nonlinearity interval in parametric semidefinite optimization was accepted for publication in Mathematics of Operations Research.

**[08/27/2021]** Our collaborative NSF proposal (co-PIs: Saugata Basu and Tamas Terlaky) was approved.

**[08/14/2021]** I will be giving a talk in the session Optimization and Algebraic Geometry at AG21.

**[08/10/2021]** Professor Basu and I will be organizing the session on Algebraic Aspects of Optimization at SIAM Conference on Applied Algebraic Geometry (AG21).

**[06/28/2021]** Our paper On the sensitivity of the optimal partition for parametric second-order conic optimization was accepted for publication in Mathematical Programming B.

**[05/17/2021]** We submitted a new paper: On the central path of semidefinite optimization: degree and convergence rate.