Research

I study operator algebras and quantum information theory.

In the past, I’ve studied crossed products of operator algebras and representation theory for non-self-adjoint operator algebras. Crossed product theory is a non-commutative analogue of studying time evolution of topological dynamical systems, and it extends the notion of semidirect products and group rings from algebra. Analytically (as D. Williams puts it), you can think of crossed product theory as the harmonic analysis of functions on a group that take values in an operator algebra.

More recently, I’ve been working with C*-algebras arising from the quantum analogue of a classical directed graph.

Publications

[bibtex file=mypub.bib group=year group_order=desc allow=inproceedings,article key_format=cite highlight=”M. Hamidi”]

Doctoral Dissertation

[bibtex file=mypub.bib group=year group_order=desc allow=phdthesis highlight=”M. Hamidi”]

Selected Talks

Conference/Seminar	Slides	Date
Analysis Seminar, University of Waterloo* Title: Dynamical Extensions and Crossed Products		May 12, 2022
AMS Special Session on Advances in Operator Algebras, Joint Mathematics Meetings 2022* (Virtual) Title: The Quantum Cuntz-Krieger Algebra and Edge Correspondence of a Quantum Graph [Abstract]		April 9, 2022
Brazos Analysis Seminar, Fall 2021* (Virtual) Title: Non-Self-Adjoint Crossed Products as Subalgebras of C*-Crossed Products [Abstract]		November 13, 2021
Mathematics and Statistics Department Colloquium, Northern Arizona University* Title: Topological Dynamics: An Operator Algebraic Approach [Abstract]		September 7, 2021
ASU C*-Seminar, Arizona State University* (Virtual) Title: An Introduction to Non-Self-Adjoint Crossed Products [Abstract]		April 7, 2021
Mathematical Physics and Operator Algebras Seminar, Michigan State University* (Virtual) Title: Crossed Products of Operator Algebras: A Tool for Noncommutative (Topological) Dynamics [Abstract]		November 16, 2020
Department of Mathematics & Statistics Colloquium, University of Nevada, Reno* (Virtual) Title: Crossed Products of Operator Algebras: A Tool for Noncommutative Dynamics		October 8, 2020
Joint Mathematics Meetings, Denver, CO Title: Rigidity of Crossed Products Arising from $\mathbb{Z}$ Acting on the Disc Algebra		January 15, 2020
Joint Mathematics Meetings, Baltimore, MD Title: Admissibility of C*-Covers and Crossed Products of Operator Algebras		January 18, 2019
UNL Operator Algebras Research Seminar, Lincoln, NE Title: Structure of C*-Covers		Fall 2018
UNL Operator Algebras Research Seminar, Lincoln, NE Title: Extending Dynamics from the Disc Algebra to the Toeplitz Algebra		Spring 2018

*Indicates an invited talk

Conferences & Seminars Co-Organized

• ASUERAU C*-Seminar, Hosted primarily at Arizona State University
  • Fall 2021-Present
• Young Mathematicians in C*-Algebras (YMC*A), University of Oslo
  • August 8-12, 2022
• Nebraska Conference for Undergraduate Women in Mathematics (NCUWM) in Lincoln, NE
  • January 25-27, 2019
• Operator Theory Reading Seminar (OTRS), University of Nebraska-Lincoln
  • Fall 2018 on Graph C*-Algebras
• Graduate Student Seminar (GSS) for Department of Mathematics, University of Nebraska-Lincoln
  • Fall 2014-Spring 2015

Other Conferences & Workshops Attended

For a list of upcoming conferences in operator algebras, the Operator Algebra Searchable Information Site (OASIS) and Narutaka Ozawa keep up-to-date lists.

• AMS Sectional Meetings
  • November 9-10, 2019, Fall Western Sectional at UC-Riverside in Riverside, CA
  • April 16-17, 2016, Spring Central Sectional at North Dakota State University in Fargo, ND
• Canadian Operator Symposium (COSy)
  • May 31-June 4, 2021 hosted online by University of Guelph in Guelph, Ontario
  • May 25-29, 2020 hosted online by The Fields Institute in Toronto, Ontario
• Iowa-Nebraska Functional Analysis Seminar (INFAS)
  • November 3, 2018 at University of Nebraska-Lincoln in Lincoln, NE
  • November 11, 2017 in Des Moines, IA
  • November 5, 2016 in Des Moines, IA
  • March 28, 2015 at Creighton University in Omaha, NE
  • April 19, 2014 in Des Moines, IA
• IPAM Workshop – Actions of Tensor Categories on C*-algebras
  • January 21-28, 2021 hosted virtually
• Joint Mathematics Meetings
  • January 6-9, 2021 hosted virtually
  • January 10-13, 2018 in San Diego, CA
• Great Plains Operator Theory Symposium (GPOTS)
  • May 10-14, 2021 hosted online by Washington University in St. Louis, MO
  • May 29-June 2, 2018 at Miami University in Oxford, OH
  • May 22-26, 2017 at Texas Christian University in Fort Worth, TX
  • May 23-27, 2016 at University of Illinois Urbana-Champaign in Champaign, IL
• MAA Mathfest
  • August 4-7 hosted online
• Rocky Mountain Mathematics Consortium (RMMC)
  • June 1-5, 2015 at University of Wyoming in Laramie, WY
• Young Mathematicians in C*-Algebras (YMC*A)
  • August 5-10, 2019 at University of Copenhagen in Copenhagen, DK
  • August 13-17, 2018 at KU Leuven in Leuven, BE
• Young Women in C*-Algebras (YWC*A)
  • August 11-12, 2018 at KU Leuven in Leuven, BE
• Zagreb Workshop on Operator Theory
  • June 29-30, 2020 hosted online