College of Arts & Sciences Mathematical Sciences

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Catalin Georgescu

Catalin Georgescu
Associate Professor
Mathematics, College of Arts & Sciences
UD Dakota Hall 318
Phone: 605-677-5990
Research Interests:
Dynamical Systems
Education:
  • Ph D, Mathematics, The State University of New York at Buffalo, 2004
  • BS, Mathematics & Theoretical Mechanics, The University of Bucharest, 1993
Research:
  • General Membership, Institute for Mathematics and Its Applications, University of Minnesota, (2012)
Grants:
  • Research Excellence Grant, The Office of Reseach & College of Arts & Science, (2010 - 2011)
  • Travel Grant, College of Arts and Science, (2009 - 2009)
Publications:
  • 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.
  • Georgescu, C., (2009), Connecting Orbits and the Boundary : An Application of the Conley Index Theory, VDM Verlag.
  • Georgescu, C., Van Peursem, D., (2009), Dynamics of a Population Model Controlling the Spread of Plague in Prairie Dogs., Recent Advances in Applied Mathematics and Computational and Information Sciences, vol. 1.
  • Georgescu, C., Chivu, C., Chivu, C., (2008), Design and Fuzzy Control of Hand Prosthesis of Anthropomorphic Robotic Hand., Transactions on Systems and Control, vol. 3, iss. 5.
  • Georgescu, C., Chivu, C., Chivu, C., (2008), Romanian Language and Dialog Systems, Transactions on Systems and Control, vol. 3, iss. 5.
  • Georgescu, C., (2006), The Boundary Map and The Connecting Orbits, Topology and Its Applications, vol. 153, iss. 18, pp. 3555-3571.
  • Georgescu, C., Joita, C., Nowell, W., Stanica, P., (2005), Chaotic Dynamics of Some Rational Maps, Discrete and Continuous Dynamical Systems, Serie A, vol. 12, iss. 2, pp. 363-375.
  • Georgescu, C., Puta, M., (1996), 3-Dimensional Poisson Manifolds. Casimirs., Annals of University Timisoara, Ser.Mat-Inform, vol. 34, iss. 1, pp. 151-159.
  • Georgescu, C., (1996), Duffing's Equation, The Geometry and Topology Seminar of West University of Timisoara, iss. 112.
Presentations:
  • Georgescu, C. (2013, April). Existence Solutions of ODEs. Presented at the USD Mathematics Seminar.
  • 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.
  • Georgescu, C. (2010, December). Topological Entropy. Presented at the USD Math Department Seminar.
  • Georgescu, C. (2009, November). Workshop. Presented at the Midwest Dynamical System Conference, University of Illinois, Chicago.
  • Georgescu, C., Van Peursem, D. (2009, November). Dynamics of a population model.. Presented at the NEIU -Chicago Department of Mathematics Seminar, Northeastern Illinois University.
  • Georgescu, C., Van Peursem, D. (2009, April). Dynamics of a population model controlling the spread of plague in prairie dogs.. Presented at the 15th American International Conference on Applied Mathematics, Houston.
  • Georgescu, C., Van Peursem, D. (2009, April). Dynamics of a population model. Presented at the Nebraska/SE South Dakota Section of MAA, Hastings College, Hastings, NE.
  • Georgescu, C. (2007, October). A result regarding the boundary map of an attractor-repeller pair.. Presented at the 1030th AMS Meeting, DePaul University, Chicago.
  • Georgescu, C. (2007, May). Participation. Presented at the Dynamics Idea in Geometry, Topology and Number Theory: Conference Honoring Svetlana Katok's Birthday., Penn State University.
  • Georgescu, C. (2007, April). Structural Stability of Vector Fields.. Presented at the USD Math Department Seminar.
  • Georgescu, C. (2006, October). The Fundamental Theorem of Dynamical Systems.. Presented at the USD Math Department Seminar.
  • Georgescu, C. (2006, July). A Theorem of Conley and Hodge decomposition.. Presented at the Seminar of the Institute of Mathematics of the Romanian Academy.
  • Georgescu, C. (2005, October). Detection of the Connecting Orbits Using the Boundary Map in Conley Index Theory. Presented at the AMS Fall Central Section Meeting, University of Nebraska, Lincoln.