Welcome to My Homepage!
Who am I?
I am Mohammad Shirazi (محمد شیرازی). I obtained my Ph.D. degree, under the supervision of Dr. Eric Schippers, from the University of Manitoba, Winnipeg, Canada, in 2020.
I am currently a Lecturer at the Department of Mathematics and Statistics, Georgia State university, Atlanta, Georgia, USA.
Before joining GSU, I was a Visiting Assistant Professor at the Mathematics and Statistics Department, Reed College, Portland, Oregon, USA.
I was a Postdoctoral Researcher, under the financial support (and partially supervision) of Dr. D. Jakobson at McGill University in Montréal. A big part of my research at McGill was in collaboration with (and supervised by) Dr. P. M. Gauthier from Université de Montréal, and Dr. J. Mashreghi from Laval University.
Other than research in Mathematics, I love teaching mathematics, in all levels!
I am very eager to know and implement new methods of teaching mathematics in my courses.
Finally, other than Mathematics, I am an amateur history, philosophy and literature reader.
See my curriculum vitae.
Education
Ph.D. Pure Mathematics, Complex Analysis and Riemann Surfaces, University of Manitoba, Winnipeg, Manitoba, Canada. I was honored to be supervised by Dr. E. Schippers. (2015-2020)
M.Sc. Pure Mathematics, Mathematical Analysis, Amirkabir University of Technology, Tehran, Iran. My supervisor was Dr. Seyyed Mansour Vaezpour. (2011-2013)
B.Sc. Applied Mathematics, Amirkabir University of Technology, Tehran, Iran. (2007-2011)
My Research Interests
Complex Analysis, Complex Approximation Theory, Spaces of Analytic functions.
I follow relevant topics in Riemann Surfaces, Teichmüller Theory, (and some parts of) Geometric Function Theory too.
Recently I am getting interested in Math Education and related topics.
Publications
In Progress.
NA
Submitted Papers.
Radial limits of solutions to elliptic partial differential equations, with Paul Gauthier, submitted Dec 2023.
Published Papers.
E. Schippers, M. Shirazi, Faber series for L^2 holomorphic one-forms and functions on Riemann surfaces with boundary, Computational Methods and Function Theory, https://doi.org/10.1007/s40315-024-00529-4 (2024) .
J. Mashreghi, M. Shirazi, M. Withanachchi. Partial Taylor sums on Local Dirichlet Spaces, Analysis and Mathematical Physics, 12, Article number: 147 (2022), DOI: 10.1007/s13324-022-00756-9.
P. M. Gauthier, and M. Shirazi, Radial limits of functions holomorphic in C^n or the polydisc, Proceedings of Fields Institute 2022, Focus Program on Analytic Function Spaces and their Applications (2021).
P. M. Gauthier, and M. Shirazi, Asymptotic first boundary value problem for holomorphic functions of several complex variables, Canad. Math. Bull. 2021, pp 1-20. doi:10.4153/S0008439521000321.
D. Radnell, E. Schippers, M. Shirazi, and W. Staubach, Schiffer Operators and Calculation of a Determinant line in Conformal Field Theory, New York J. Math. 27 (2021), 253-271.
Schippers, E., Shirazi, M. and Staubach, W. Schiffer Comparison Operators and Approximations on Riemann Surfaces Bordered by Quasicircles, J. Geom. Anal. (2020). https://doi.org/10.1007/s12220-020-00508-w.
M. Shirazi, Faber and Grunsky Operators Corresponding to Bordered Riemann Surfaces, Conform. Geom. Dyn. 24 (2020), 177-201.
Doctoral Thesis.
"Faber and Grunsky Operators on Bordered Riemann Surfaces of Arbitrary Genus and the Schiffer Isomorphism". Under the supervision of Dr. E. Schippers, Apr 2020. To view my thesis click here.
Master Thesis.
"Generalized Measure of Non-Compactness of Sets and Operators on Banach Spaces", in Persian. Under the supervision of Dr. Seyyed Mansour Vaezpour, Aug 2013.
Book.
Shirazi, M. and Naderi, F, Foundations of Mathematical Analysis, M. Sharif Press, (Written in Farsi) Tehran, Iran, First Edition 2014. See the book homepage here (9th Edition, 2020).
Contributor (with Paul. M. Gauthier) to: Ilia Binder, Damir Kinzebulatov, Javad Mashreghi, Function Spaces, Theory and Applications, Fields Institute Communications, Volume 87, Springer, Dec 2023. Link.
Contact Information
Office: 1303, Department of Mathematics and Statistices, GSU
Email: shirazim[at]myumanitoba[dot]ca,