• Ph D, Analysis, Operator Algebras, University of Iowa, 2005
• MS, Real and Complex Analysis, University of Bucharest, 1998
• BS, Mathematics and Computer Science, The University of Transylvania, 1997

• Research Excellence Grant, The Office of Reseach & College of Arts & Science, (2010 - 2011)

Citations listed below are presented in a standardized, modified format for display purposes only. They do not necessarily reflect the preferred style and conventions of the faculty member or discipline.

• Georgescu, Catalin, and Picioroaga, Gabriel. Obstructions to Frame Vectors and Group Representations ., Editors Simeon Reich, Alexander Zaslavski- Israel Institute of Technology. Vol. 9, Iss. Number 6- Special Issue dedicated to Palle Jorgensen Pure and Applied Functional Analysis/Yokohama Publisher, 2024.
• Picioroaga, Gabriel, and Roberts, Olivia. Musical Systems with Zn-Cayley graphs. Vol. VIII Musmat-Brazilian Journal of Music and Mathematics, 2024. (DOI: 10.46926/musmat.2024v8.1-23)
• Christoffersen, Nicholas , Dutkay, Dorin, Picioroaga, Gabriel, and Weber, Eric. Parseval frames from compression of Cuntz algebras., Editors Joel Kamnitzer. Vol. 304, Iss. 23 (2023) Mathematische Zeitschrift, 2023. (DOI: https://doi.org/10.1007/s00209-023-03259-w)
• Picioroaga, Gabriel. Understanding Math Concepts in Music. In Maple in Mathematics Education and Research, 2020, editors Rob Corless, Jürgen Gerhard and Ilias Kotsireas. Communications in Computer and Information Science, Springer, 2021.
• Harding, Steven N., and Picioroaga, Gabriel. A Generalized Walsh System for Arbitrary Matrices. In Special Issue, Harmonic Analysis: Smooth and Non-Smooth, editors Calogero Vetro, Justina Zuk, 40-55. Vol. 52, Iss. 1 Warsaw: Demonstratio Mathematica/DE GRUYTER, 2019. (DOI: https://doi.org/10.1515/dema-2019-0006)
• Dutkay, Dorin, Picioroaga, Gabriel, and Silvestrov, Sergei. On Generalized Walsh Bases. Acta Applicandae Mathematicae/Springer, 2018. (DOI: 10.1007/s10440-018-0214-x)
• Picioroaga, Gabriel, and Weber, Eric. Fourier frames for the Cantor-4 set, 324-343. Vol. 23, Iss. 2 Vienna: Journal of Fourier Analysis and Applications, 2017.
• Dutkay, Dorin, and Picioroaga, Gabriel. Generalized Walsh Bases and Applications, 1-18. Vol. 133(2014), Iss. 1 Acta Applicandae Mathematicae/Springer, 2014. (DOI: 10.1007/s10440-013-9856-x)
• Dutkay, Dorin, Picioroaga, Gabriel, and Song, Myung-Sin. Orthonormal bases generated by Cuntz algebras, 1128-1139. Vol. 409 (2014) Journal of Mathematical Analysis and Applications, 2014.
• Georgescu, Catalin, and Picioroaga, Gabriel. Fuglede-Kadison Determinants For Operators in the von Neumann Algebra of an Equivalence Relation. , 173-180. Vol. 142 Proceedings of the American Mathematical Society, 2014.
• Dutkay, Dorin, Han, Deguang, Jorgensen, Palle, and Picioroaga, Gabriel. On common fundamental domains , 109-127. Vol. 239 Advances in Mathematics, 2013.
• Haagerup, Uffe , and Picioroaga, Gabriel. New Presentations of Thompson's Groups and Applications, 217-232. Vol. 66, Iss. 1 Bucharest: Journal of Operator Theory/ The Theta Foundation, 2011.
• Dutkay, Dorin, Han, Deguang, and Picioroaga, Gabriel. Parseval Frames for ICC Groups, 30071-3090. Vol. 256 (2009), Iss. 9 Journal of Functional Analysis, 2009.
• Dutkay, Dorin, Jorgensen, Palle, and Picioroaga, Gabriel. Unitary Representations of Wavelet Groups and Encodings of Iterated Function Systems in Solenoids , 1815-1852. Vol. 29 (2009), Iss. 6 Cambridge: Ergodic Theory and Dynamical Systems, 2009.
• Dutkay, Dorin, Han, Deguang, Picioroaga, Gabriel, and Sun, Qiyu. Orthonormal Dilations of Parseval Wavelets, 483-515. Vol. 341 (2008), Iss. 3 Mathematische Annalen, 2008.
• Chifan, Ionut, and Picioroaga, Gabriel. C* Estimates for Averaging Sums of Elements in the Thompson Group F. In Perspectives in Operator Algebras and Mathematical Physics, 41-51. Vol. 8 Bucharest: Theta Series in Advanced Mathematics, 2008.
• Dutkay, Dorin, and Picioroaga, Gabriel. The Von Neumann Algebra of the Canonical Equivalence Relation of the Thompson Group . In Operator theory 20. Vol. 6 (2006) Bucharest: Theta Series in Advanced Mathematics, 2006.
• Picioroaga, Gabriel. The Inner Amenability of the Generalized Thompson Group, 1995-2002. Vol. 134 (2006), Iss. 7 Proc. Amer. Math. Soc., 2005.
• Bildea, Stefan, Dutkay, Dorin, and Picioroaga, Gabriel. MRA Superwavelets, 1-19. Vol. 11 (2005) Albany, NY: New York Journal of Mathematics, 2005.

• Picioroaga, Gabriel, Frames and Group Representations. Presented at the Mathematics Colloquium, Orlando, FL. (March 31, 2025)
• Georgescu, Catalin, and Picioroaga, Gabriel, Frame vector representations of groups and amenability properties. Presented at the New Classes of Spectral Duality, Inverse Problems, Operators, Analysis and Algorithms, Mini Workshop, Virtual. (March 22, 2025)
• Georgescu, Catalin, and Picioroaga, Gabriel, Obstruction to frame vectors and group representations. Presented at the Analysis and Operator Theory Seminar- Department of Mathematics-Ohio State, Columbus. (October 31, 2024)
• Picioroaga, Gabriel, Robustness Analysis of Convolution Layers in Image Classification Neural Networks. Presented at the MAA, North Central Section, Sioux Falls, SD. (October 25, 2024)
• Georgescu, Catalin, and Picioroaga, Gabriel, Obstruction of Frame Vectors and Group Representations. Presented at the Great Plains Operator Theory Symposium 2024, University of Nebraska-Lincoln. (June 06, 2024)
• Picioroaga, Gabriel, Musical Systems with Z_n Cayley Graphs. Presented at the 100 Nebraska SE South Dakota MAA, Vermillion, SD. (April 13, 2024)
• Picioroaga, Gabriel, Robustness analysis of convolutional layers in image classification neural networks . Presented at the SDSU Data Science Symposium, Brookings, SD. (February 07, 2023)
• Picioroaga, Gabriel, Understanding math concepts in music and vice-versa. Presented at the Maple Conference 2020, Virtual/Zoom. (November 2021)
• Picioroaga, Gabriel, and Georgescu, Catalin, Obstructions for frame vectors arising from group representations. Presented at the Great Plains Operator Theory Symposium, 2021, Virtual/Zoom. (May 13, 2021)
• Picioroaga, Gabriel, and Georgescu, Catalin, Obstructions for frame vectors arising from group representations. Presented at the Operator Theory Seminar, Department of Mathematics, University of Iowa, Iowa City, Iowa. (November 05, 2019)
• Harding S., and Picioroaga, Gabriel, A generalized Walsh system for arbitrary matrices. Presented at the INFAS (Iowa-Nebraska Functional Analysis Seminar), Des Moines, IA. (November 02, 2019)
• Picioroaga, Gabriel, Frames and orthonormal bases generated by Cuntz systems. Presented at the Special Session on Applied Harmonic Analysis: Frame Theory and Applications, AMS, San Francisco , CA. (October 27, 2018)
• Picioroaga, Gabriel, Generalized Walsh bases and some applications to digital signal processing. Presented at the Smooth and Non Smooth Harmonic Analysis, Ames, Iowa. (June 03, 2018)
• Picioroaga, Gabriel, On Generalized Walsh Orthonormal Bases. Presented at the Special Session on Applied Harmonic Analysis:Frames, Samplings and Applications at the American Mathematical Society, Orlando, Florida. (September 24, 2017)
• Picioroaga, Gabriel, Fourier Frames for the Cantor-4 Set. Presented at the Special Session on Frames, Harmonic Analysis, and Operator Theory for the 1120th American Mathematical Society, North Dakota State University. (April 17, 2016)
• Picioroaga, Gabriel, Cuntz, Walsh and Wavelet Transforms. Presented at the Analysis Seminar, Ames, IA. (March 25, 2015)
• Harding, Steven N., and Picioroaga, Gabriel, Data encryption using Cuntz algebras representations. Presented at the MAA Nebraska/SE South Dakota Section MAA, Nebraska Wesleyan University, Lincoln, Nebraska. (March 14, 2014)
• Picioroaga, Gabriel, Cuntz algebras, generalized Walsh bases and applications. Presented at the INFAS (Iowa-Nebraska Functional Analysis Seminar), Des Moines, IA. (November 09, 2013)
• Picioroaga, Gabriel, Cuntz algebras, generalized Walsh bases and applications. Presented at the Colloquium, Mathematics Department, University of Central Florida, October 31. (October 31, 2013)
• Picioroaga, Gabriel, Orthonormal bases generated by Cuntz algebras. Presented at the Operator Theory Seminar, University of Iowa, October 15. (October 15, 2013)
• Picioroaga, Gabriel, Orthonormal bases generated by Cuntz algebras. Presented at the Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings’, 1089th AMS Meeting, University of Colorado Boulder, April 13-14. (April 13, 2013)
• Georgescu, Catalin, and Picioroaga, Gabriel, Fuglede-Kadison Determinants For Operators In The Von Neumann Algebra Of An Equivalence Relation.. Presented at the 1074th AMS Sectional Meeting, University of Nebraska Lincoln.. (October 14, 2011)
• Georgescu, Catalin, and Picioroaga, Gabriel, Fuglede-Kadison Determinants For Operators In The Von Neumann Algebra Of An Equivalence Relation.. Presented at the Great Plains Operator Theory Symposium 2011, Arizona State University. (May 18, 2011)
• Picioroaga, Gabriel, On Common Fundamental Domains. Presented at the AMS Spring Central Sectional Meeting, St.Paul, MN. (April 10, 2010)