College of Arts & Sciences Mathematical Sciences

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Gabriel Picioroaga

Gabriel Picioroaga
Assistant Professor
Mathematics, College of Arts & Sciences
UD Dakota Hall 324
Phone: 605-677-5023
Bio:
BS, University of Transylvania, 1992-1997. MS, University of Bucharest, 1997-1998. PhD, The University of Iowa, 1999-2005. Previous professional positions: University of Southern Denmark, 2005-2006. Binghamton University, 2006-2009.
Teaching Interests:
Calculus, Abstract Algebra, Real Analysis.
Research Interests:
Wavelets and Frames, Measure Group Theory, Functional Analysis, Operator Algebras .
Education:
  • 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
Grants:
  • Research Excellence Grant, The Office of Reseach & College of Arts & Science, (2010 - 2011)
Publications:
  • Dutkay, D., Picioroaga, G., Song, M., (2014), Orthonormal bases generated by Cuntz algebras, Journal of Mathematical Analysis and Applications, vol. 409 (2014), pp. 1128-1139.
  • Georgescu, C., Picioroaga, G., (2014), Fuglede-Kadison Determinants For Operators in the von Neumann Algebra of an Equivalence Relation. , Proceedings of the American Mathematical Society, vol. 142, pp. 173-180.
  • Dutkay, D., Picioroaga, G., (2014), Generalized Walsh Bases and Applications, Acta Applicandae Mathematicae/Springer, vol. 133(2014), iss. 1, pp. 1-18. (DOI: 10.1007/s10440-013-9856-x)
  • Dutkay, D., Han, D., Jorgensen, P., Picioroaga, G., (2013), On common fundamental domains , Advances in Mathematics, vol. 239, pp. 109-127.
  • Haagerup, U., Picioroaga, G., (2011), New Presentations of Thompson's Groups and Applications, Journal of Operator Theory/ The Theta Foundation, vol. 66, iss. 1, pp. 217-232.
  • Dutkay, D., Han, D., Picioroaga, G., (2009), Parseval Frames for ICC Groups, Journal of Functional Analysis, vol. 256 (2009), iss. 9, pp. 30071-3090.
  • Dutkay, D., Jorgensen, P., Picioroaga, G., (2009), Unitary Representations of Wavelet Groups and Encodings of Iterated Function Systems in Solenoids , Ergodic Theory and Dynamical Systems, vol. 29 (2009), iss. 6, pp. 1815-1852.
  • Chifan, I., Picioroaga, G., (2008), C* Estimates for Averaging Sums of Elements in the Thompson Group F, Theta Series in Advanced Mathematics, vol. 8, pp. 41-51.
  • Dutkay, D., Han, D., Picioroaga, G., Sun, Q., (2008), Orthonormal Dilations of Parseval Wavelets, Mathematische Annalen, vol. 341 (2008), iss. 3, pp. 483-515.
  • Dutkay, D., Picioroaga, G., (2006), The Von Neumann Algebra of the Canonical Equivalence Relation of the Thompson Group , Theta Series in Advanced Mathematics, vol. 6 (2006).
  • Picioroaga, G., (2005), The Inner Amenability of the Generalized Thompson Group, Proc. Amer. Math. Soc., vol. 134 (2006), iss. 7, pp. 1995-2002.
  • Bildea, S., Dutkay, D., Picioroaga, G., (2005), MRA Superwavelets, New York Journal of Mathematics, vol. 11 (2005), pp. 1-19.
Awards and Honors:
  • Thematic Program on Operator Algebras, Fields Institute, Toronto, Canada, SUNY Binghamton and Fields Institute, 2007
Presentations:
  • Picioroaga, G. (2013, November). Cuntz algebras, generalized Walsh bases and applications. Presented at the INFAS (Iowa-Nebraska Functional Analysis Seminar), Des Moines, IA.
  • Picioroaga, G. (2013, October). Cuntz algebras, generalized Walsh bases and applications. Presented at the Colloquium, Mathematics Department, University of Central Florida, October 31.
  • Picioroaga, G. (2013, October). Orthonormal bases generated by Cuntz algebras. Presented at the Operator Theory Seminar, University of Iowa, October 15.
  • Picioroaga, G. (2013, April). 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.
  • Picioroaga, G. (2012, November). Processing and encrypting images with Maple.
  • Georgescu, C., Picioroaga, G. (2011, October). 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..
  • Georgescu, C., Picioroaga, G. (2011, May). 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.
  • Picioroaga, G. (2010, December). Function Composition in the Thompson Group. Presented at the Opportunities for Undergraduate Research , Vermillion, SD.
  • Picioroaga, G. (2010, April). On Common Fundamental Domains. Presented at the AMS Spring Central Sectional Meeting, St.Paul, MN.