Eleftherios   Gkioulekas

Associate Professor  

Office: EMAGC 3.214
Phone: (321) 947-7536
Email: eleftherios.gkioulekas@utrgv.edu
Website: http://faculty.utrgv.edu/eleftherios.gkioulekas/

Dr. Eleftherios Gkioulekas

Dr. Gkioulekas was raised in a small mining village, Stratonion, in Greece. He was inspired into a teaching career by the example of his High School Mathematics Teacher, Alexandros Pistofidis, and by independently studying all three volumes of the Feynman Lectures on Physics during the last 4 years of High School. For more information about his academic accomplishments, see his Curriculum Vita, or visit his faculty web page.





Selected Publications


  • Eleftherios Gkioulekas. "On the denesting of nested square roots," International Journal of Mathematical Education in Science and Technology 48, (August 2017): 942-953.

  • Eleftherios Gkioulekas. "Multi-locality and fusion rules on the generalized structure functions in two-dimensional and three-dimensional Navier-Stokes turbulence," Physical Review E 94, (September 2016): 033105.

  • Eleftherios Gkioulekas. Lecture Notes on Discrete Structures. Online Lecture Notes on Mathematics, February 2015: 237.

  • Eleftherios Gkioulekas. Review of `Mathematics of two-dimensional turbulence' by S.Kuksin and A. Shirikyan. SIAM Review, 56, November 2014: 561-565.

  • Eleftherios Gkioulekas. Lecture Notes on Differential Equations. Online Lecture Notes on Mathematics, October (4th Quarter/Autumn) 2014: 259.

  • Eleftherios Gkioulekas. "Energy and potential enstrophy flux constraints in quasi-geostrophic models," Physica D 284, (September 2014): 27-41.

  • Eleftherios Gkioulekas. "Generalized local test for local extrema in single-variable functions," International Journal of Mathematical Education in Science and Technology 45,, (January (1st Quarter/Winter) 2014): 118-131.

  • Eleftherios Gkioulekas. Lecture Notes on Calculus 2. Online Lecture Notes on Mathematics, November 2013: 321.

  • Eleftherios Gkioulekas. Review of `Turbulence, coherent structures, dynamical systems and symmetry', by P. Holmes, J.L. Lumley, G. Berkooz, and C.W. Rowley. SIAM Review, 55, August 2013: 579-581.

  • Eleftherios Gkioulekas. "Zero-bounded limits as a special case of the squeeze theorem for evaluating single-variable and multivariable limits," International Journal of Mathematical Education in Science and Technology 44, (August 2013): 595-609.



Selected Grants and Fellowships


  • Eleftherios Gkioulekas. Travel grant to attend the 2017 AMS/MAA Joint Mathematics Meetings, Faculty Travel Support Program, University of Texas Rio Grande Valley, $600.00 (2017 - 2017)

  • Eleftherios Gkioulekas. Proposal to attend the `Do-It-Yourself (DIY) Modeling' workshop, Faculty Development Grant Program, University of Texas -- Pan American, $1,305.00 (2012 - 2012)

  • Eleftherios Gkioulekas. Travel grant to attend the International Conference on the Theory, Methods, and Applications of Nonlinear Equations, Faculty Travel Support Program, University of Texas -- Pan American, $300.00 (2012 - 2012)



Selected Presentations


  • Eleftherios Gkioulekas. "Generalized local test for local extrema in single-variable functions," 3rd Teaching Development or Teaching-Related Research Workshop, University of Texas Rio Grande Valley, School of Mathematical and Statistical Sciences, Edinburg TX (April 2018)

  • Eleftherios Gkioulekas. "Random field theory in classical dynamical systems," 2nd Coastal Bend Mathematics and Statistics Conference, Texas A&M University-Corpus Christi, Department of Mathematics & Statistics, Corpus Cristi TX (March 2018)

  • Eleftherios Gkioulekas. "Energy and potential enstrophy flux constraints in quasi-geostrophic models," 2017 AMS Fall Central Sectional Meeting, University of North Texas, Department of Mathematics, Denton TX (September 2017)

  • Eleftherios Gkioulekas. "On the denesting of nested square roots," 2nd Teaching Development or Teaching-Related Research Workshop, University of Texas Rio Grande Valley, School of Mathematical and Statistical Sciences, Edinburg, TX (April 2017)

  • Eleftherios Gkioulekas. "Revisiting the dissipation scales of the energy cascade of 3D turbulence as anomalous scaling functions," 40th Annual Texas Differential Equations Conference, Texas A&M University-College Station, Department of Mathematics, College Station, TX (March 2017)

  • Eleftherios Gkioulekas. "On the denesting of nested square roots," 97th Annual Meeting of the Texas Section of the MAA, Texas A&M University-Commerce, Department of Mathematics, Commerce, TX (March 2017)

  • Eleftherios Gkioulekas. "Multi-locality and fusion rules on the generalized structure functions in two-dimensional and three-dimensional Navier-Stokes turbulence," 2017 AMS/MAA Joint Mathematics Meetings, Atlanta, GA (January 2017)

  • Eleftherios Gkioulekas. "On the denesting of nested square roots," 2017 AMS/MAA Joint Mathematics Meetings, Atlanta, GA (January 2017)

  • Eleftherios Gkioulekas. "Energy and potential enstrophy flux constraints in quasi-geostrophic models," 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL (July 2016)

  • Eleftherios Gkioulekas. "Multilocality and fusion rules on the generalized structure functions in two-dimensional and three-dimensional Navier-Stokes turbulence," 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL (July 2016)

Current Courses

MATH 4390 07 - Math Project:
Syllabus
Course Evaluations
Textbooks
MATH 2346 01 - Math for EE & CE:
Syllabus
Course Evaluations
Textbooks
MATH 2414 04 - Calculus II:
Syllabus
Course Evaluations
Textbooks

Previous Courses