• 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.

• 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.
• Georgescu, Catalin, and Picioroaga, Gabriel. Obstructions to Frame Vectors and Group Representations ., Editors Simeon Reich, Alexander Zaslavski- Israel Institute of Technology. Iss. Special Issue dedicated to Palle Jorgensen Pure and Applied Functional Analysis/Yokohama Publisher.

• 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)