Welcome to Dr. Sajjad Lakzian

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Office : 213 B, Math. Dept. Email : slakzian(at)iut(dot)ac(dot)ir Phone : +98 313 3913617 Fax : +98 311 3912602 Web Site : My Personal Webpage

Assistant Professor of Mathematics

Research Fields : Differential Geometry and Geometric Analysis

Partial Differential Equations

Geometric Measure Theory

Metric Geometry

Teaching

Recent Publications

2) "On rigidity of ALE vector bundles", joint with F. Asadi and Z. Fathi

14) "The rigidity of sharp spectral gap in nonnegatively curved spaces", joint with C. Ketterer and Y. Kitabeppu, Nonlinear Analysis Vol 228 (2023)

1) "Discrete Ollivier-Ricci curvature", joint with Z. Fathi.

13) "Bakry-Emery Ricci curvature of doubly warped product of weighted spaces", joint with Z. Fathi, Journal of Geometric Analysis vol32, issue 79, 75pp (2022)

12) "On Weak Super Ricci Flow Through Neckpinch", joint with M. Munn, Analysis and Geometry in Metric Spaces, volume 9, pp 120 --159 (2021)

10) "Bubble tree convergence for harmonic maps into compact locally CAT(1) spaces", joint with C. Breiner, Calculus of Variations and Partial Differential Equations volume 59, Article number: 144 (2020)

2) "Geometric singularities under the Gigli-Mantegazza flow", Mean Curvature Flow Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29–June 1, 2018

9) "A global Poincare inequality on graphs via a conical curvature dimension conditions", joint with Z. McGuirk, Analysis and Geometry in Metric Spaces (2018)

8) "Geometric singularities and a flow tangent to Ricci flow", joint with L. Bandara and M. Munn, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 17, no. 2, 763 804 (2017)

7) "Diameter controls and smooth convergence away from singularities", Journal of Differential Geometry and its Applications 47, 99129 (2016)

6) "Characterization of low dimensional RCD*(K,N) spaces", joint with Y. Kitabeppu, Analysis and Geometry in Metric Spaces 4, 187 215 (2016)

4) "Intrinsic flat continuity of Ricci Flow Through Neck Pinch Singularities", Geometriae Dedicata 179, 69–89 (2015)

3) "Differential Harnack estimates for heat equation under Finsler Ricci flow", Pacific Journal of Mathematics 278, no. 2, 447–462 (2015)

5) "Non-branching RCD(0, N) geodesic spaces with Small linear diameter growth have finitely generated fundamental groups", joint with Y. Kitabeppu, Canadian Mathematical Bulletin 58, no. 4, 787798 (2015)

2) "Metric perspectives of the Ricci flow applied to disjoint unions", joint with M. Munn, Analysis and Geometry in Metric Spaces 2, 282–293 (2014)

1) "A Priori Estimates and the Geometry of the Monge Ampère Equation (After Luis Caffarelli)", Proc. of Summer School on Optimal Transport and Applications, UCLA (2013)

1) "Smooth Convergence Away From Singular Sets and Intrinsic Flat Continuity of Ricci Flow", PhD Thesis (2013)

1) "Smooth Convergence Away From Singularities", joint with C. Sormani, Communications in Analysis and Geometry 21, no. 1, 39–104 (2013)

1) "Perelman’s Entropy Functional and No Local Collapsing", ISBN of the book version: 9783847372509 (2011)

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Welcome to Dr. Sajjad Lakzian

Teaching

Recent Publications