Eleftherios Gkioulekas
Associate Professor
Office:
Phone: (321) 9477536
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 Pistofides, and by independently studying all three volumes of the \emph{Feynman Lectures on Physics} during the last 4 years of High School. He graduated with a B.Sc. in Applied Mathematics from the California Institute of Technology in 1997, a M.Sc. in 2000 and a Ph.D in Applied Mathematics in 2006, both from the University of Washington.
Areas of Expertise
 My main research area is in Applied Mathematics and Engineering Mathematics, with specializations in fluid mechanics and statistical mechanics, currently concentrating on the theoretical study of hydrodynamic and geophysical turbulence.
Education
 PhD, Applied Mathematics, University of Washington, 2006
 MS, Applied Mathematics, University of Washington, 2000
 BS, Applied Mathematics, California Institute of Technology, 1997
Currently Teaching
 MATH 2346 01  Math for EE & CE:
 Syllabus
 Course Evaluations
 Textbooks
Selected Publications
 Eleftherios Gkioulekas. "On the denesting of nested square roots," International Journal of Mathematical Education in Science and Technology 48, (August 2017): 942953.
 Eleftherios Gkioulekas. "Multilocality and fusion rules on the generalized structure functions in twodimensional and threedimensional NavierStokes turbulence," Physical Review E 94, (September 2016): 033105.
 Eleftherios Gkioulekas. Lecture Notes on Discrete Structures. Online Lecture Notes on Mathematics, February 2015: 235.
 Eleftherios Gkioulekas. Review of `Mathematics of twodimensional turbulence' by S.Kuksin and A. Shirikyan. SIAM Review, 56, November 2014: 561565.
 Eleftherios Gkioulekas. Lecture Notes on Differential Equations. Online Lecture Notes on Mathematics, October (4th Quarter/Autumn) 2014: 257.
 Eleftherios Gkioulekas. "Energy and potential enstrophy flux constraints in quasigeostrophic models," Physica D 284, (September 2014): 2741.
 Eleftherios Gkioulekas. "Generalized local test for local extrema in singlevariable functions," International Journal of Mathematical Education in Science and Technology 45,, (January (1st Quarter/Winter) 2014): 118131.
 Eleftherios Gkioulekas. Lecture Notes on Calculus 2. Online Lecture Notes on Mathematics, November 2013: 316.
 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: 579581.
 Eleftherios Gkioulekas. "Zerobounded limits as a special case of the squeeze theorem for evaluating singlevariable and multivariable limits," International Journal of Mathematical Education in Science and Technology 44, (August 2013): 595609.
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 `DoItYourself (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. "Energy and potential enstrophy flux constraints in quasigeostrophic models," 2017 AMS Fall Central Sectional Meeting, Denton TX (September 2017)
 Eleftherios Gkioulekas. "On the denesting of nested square roots," 2nd Teaching Development or TeachingRelated Research Workshop, 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, College Station, TX (March 2017)
 Eleftherios Gkioulekas. "On the denesting of nested square roots," 97th Annual Meeting of the Texas Section of the MAA, Commerce, TX (March 2017)
 Eleftherios Gkioulekas. "Multilocality and fusion rules on the generalized structure functions in twodimensional and threedimensional NavierStokes 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 quasigeostrophic 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 twodimensional and threedimensional NavierStokes turbulence," 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 twodimensional and threedimensional NavierStokes turbulence," 39th Annual Texas Differential Equations Conference, San Marcos, TX (April 2016)
 Eleftherios Gkioulekas. "Multilocality and fusion rules on the generalized structure functions in twodimensional and threedimensional NavierStokes turbulence," Applied Math Seminar, University of Texas Rio Grande Valley, Edinburg, TX (April 2016)
Current Courses
 MATH 2346 01  Math for EE & CE:
 Syllabus
 Course Evaluations
 Textbooks
Previous Courses

SPRING 2018
 MATH 2346 01  Math for EE & CE:
 Syllabus
 Course Evaluations

FALL 2017
 MATH 2414 01  Calculus II:
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 MATH 2414 01  Calculus II:
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 MATH 2415 01  Calculus III:
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 MATH 2415 01  Calculus III:
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 MATH 2415 03  Calculus III:
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SUMMER II 2017
 MATH 2413 03  Calculus I:
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 MATH 2415 01I  Calculus III:
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 MATH 2415 02I  Calculus III:
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SUMMER I 2017
 MATH 2413 05  Calculus I:
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SPRING 2017
 MATH 2415 02  Calculus III:
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 MATH 2415 05  Calculus III:
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FALL 2016
 MATH 2346 01  Math for EE & CE:
 Syllabus
 Course Evaluations
 MATH 2346 02  Math for EE & CE:
 Syllabus
 Course Evaluations
 MATH 2414 01  Calculus II:
 Syllabus
 Course Evaluations

SUMMER II 2016
 MATH 2415 01I  Calculus III:
 Syllabus
 Course Evaluations
 MATH 2415 02I  Calculus III:
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 MATH 3341 01  Diff Equations:
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SPRING 2016
 MATH 2413 08  Calculus I:
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 MATH 2413 08  Calculus I:
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 MATH 2415 02  Calculus III:
 Syllabus
 Course Evaluations
 MATH 2415 02  Calculus III:
 Syllabus
 Course Evaluations