Pelin GUVEN GEREDELI

Assistant Professor

School of Mathematical and Statistical Sciences 

Martin Hall, O-304 Clemson University, 

Clemson, SC 29634 

pgerede@clemson.edu 


EDUCATION

 

Ph.D., Applied Mathematics, Hacettepe University, Turkey, 2012 

M.S., Applied Mathematics, Hacettepe University, Turkey, 2006 

B.S., Mathematics, Hacettepe University, Turkey, 2004 


PROFESSIONAL EXPERIENCE

 

2023-present:  Clemson University, Assistant Professor

2019-2023: Iowa State University, Assistant Professor

2017-2019: University of Nebraska-Lincoln, Postdoctoral Research Fellow

2017-2019: Hacettepe University, Turkey, Associate Professor of Mathematics (Tenured) 

2012-2017: Hacettepe University, Turkey, Instructor


RESEARCH GRANTS

 

National Science Foundation (NSF-DMS-2206200) (Single-PI): [Control Theory, Qualitative Analysis and Approximation of Coupled Structure-Flow Interaction Systems] (2022-2025) 

National Science Foundation (NSF-DMS-2230000) (Single-PI): [Organization of the Conference: 7th Annual KUMUNU-ISU Conference in PDE, Dynamical Systems and Applications,] April 22-23, 2023, Iowa State University, Ames-IA (2022-2023) 

Simons Foundation (Award Number: 960057) (Single-PI): [Qualitative Analysis and Numerical Computation of PDE Systems which Govern Flow/Fluid Structure Interactions] (2022-2027) 

National Science Foundation (NSF-DMS-1907823) - (Co-PI) [Mathematical Control Theory and Analysis of Partial Differential Equations Coupled Across a Boundary Interface], (2019-2023) 

National Science Foundation (NSF-DMS-1616425) - (Co-PI) [Analysis and Control Theory for Moving Boundary and Nonlinear Phenomena in Interactive Partial Differential Equations], (2017- 2020) 

National Science Foundation-Turkey (Single-PI): Fellowships for Visiting Scientists and Scholars on Sabbatical Leave, (2016) 

Hacettepe University, (Single-PI): Scientific Research Support to visit Politecnico di Milano, (2014) 

National Science Foundation-Turkey, Fellowship for PhD studies, (2006-2012) 


TRAVEL GRANTS 

University of Nebraska-Lincoln, Edith Hitz Travel Grant, 2017-2019

University of Nebraska-Lincoln, Postdoctoral Travel Grant, 2018

Hacettepe University, Travel Grants for research visits, 2015-2016

National Science Foundation-Turkey, Travel Grant, 2012 


RESEARCH PAPERS

 

  1. P. G. Geredeli, H. Kunwar, H. Lee; (2024) Partitioning Method for the Finite Element Approximation of a 3D Fluid-2D Plate Interaction System, submitted. 
  2. P. G. Geredeli, (2024) An inf-sup Approach to C0− Semigroup Generation for An Interactive Com-
    posite Structure-Stokes PDE Dynamics, Journal of Evolution Equations, (Accepted), https://arxiv.org/pdf/2401.13962.pdf 
  3. P. G. Geredeli, C. Givens and A. Zytoon; (2023) Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics, International Journal of Numerical Analysis and Modeling (IJNAM) 20, 329-352 
  4. P. G. Geredeli, L. Rebholz, D. Vargun and A. Zytoon; (2023) Improved convergence of the Arrow- Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson Acceleration, Journal of Computational and Applied Mathematics 422 (114920) https://doi.org/10.1016/j.cam.2022.114920 
  5. G. Avalos, P. G. Geredeli and B. Muha; (2022) Rational Decay of A Multilayered Structure-Fluid PDE System, Journal of Mathematical Analysis and Applications 514 (2), https://doi.org/10.1016/j.jmaa.2022.126284 
  6. G. Avalos, B. Belinskiy and P. G. Geredeli; (2022) Introduction for Special Issue on Modern Applied Analysis, Applicable Analysis 101 (5) 
  7. P. G. Geredeli; (2022) Asymptotic Stability of a Compressible Oseen-Structure Interaction via a Pointwise Resolvent Criterion, Mathematiche Nachrichten (DOI: 10.1002/mana.202100608) 
  8. G. Avalos, P. G. Geredeli; (2022) A Resolvent Criterion Approach to Strong Decay of a Multilayered Lam ́e-Heat System, Applicable Analysis 101, issue 5 
  9. P. G. Geredeli; (2021) Bounded Semigroup Wellposedness for a Linearized Compressible Flow Struc- ture PDE Interaction with Material Derivative, SIAM Journal on Mathematical Analysis, Vol 53 (2), 1711-1744 
  10. P. G. Geredeli; (2021) A Time Domain Approach for the Exponential Stability of a Nondissipative Linearized Compressible Flow-Structure PDE System, Mathematical Methods in the Applied Sciences, Vol (44) No 2, 1326-1342 
  11. G. Avalos, P. G. Geredeli, B. Muha; (2020) Wellposedness, Spectral Analysis and Asymptotic Sta- bility of a Multilayered Heat-Wave-Wave System, Journal of Differential Equations 269, 7129-7156 
  12. G. Avalos, P. G. Geredeli; (2020) Exponential Stability and Supporting Spectral Analysis of a Linearized Compressible Flow-Structure PDE Model, Journal of Evolution Equations 20, 1-38 
  13. G. Avalos, P. G. Geredeli, J. T. Webster; (2019) A Linearized Viscous, Compressible Flow-Plate Interaction with Non-dissipative Coupling, Journal of Math. Anal. And Appl. Volume 477 (1), 334- 356 
  14. G. Avalos, P. G. Geredeli; (2019) Stability Analysis of Coupled Structural Acoustics PDE Models under Thermal Effects and with no Additional Dissipation, Mathematische Nachrichten, Volume 292 (5), 939-960 
  15. G. Avalos, P. G. Geredeli, J. T. Webster; (2018) Semigroup Well-posedness of A Linearized, Com- pressible Fluid with An Elastic Boundary, Discrete and Continuous Dynamical Systems-B, 23 (3), 1267-1295 
  16. G. Avalos, P. G. Geredeli, J. T. Webster; (2016) Finite dimensional smooth attractors for the Berger plate with dissipation acting on a portion of the boundary, Communications on Pure and Applied Analysis 15, 2301-2328 
  17. G. Avalos, P. G. Geredeli; (2016) Uniform Stability for Solutions of Structural Acoustics PDE Model with no Added Dissipative Feedback, Mathematical Methods in the Applied Sciences, Vol 39 (18), 5497-5512 
  18. P. G. Geredeli, J. T. Webster; (2016) Qualitative Results on the Dynamics of a Berger Plate with Nonlinear Boundary Damping, Nonlinear Anal: Real World Applications 31, 227-256 
  19. M. Conti, P. G. Geredeli; (2015) Existence of smooth global attractors for nonlinear viscoelastic equations with memory, Journal of Evolution Equations 15 (3), 533-558 
  20. V. Danese, P. G. Geredeli, V. Pata; (2015) Exponential Attractors for Abstract Equations with Memory and Applications to viscoelasticity, Discrete and Continuous Dynamical Systems-A 35 (7), 2881-2904 
  21. P. G. Geredeli, (2015) On the Existence of Regular Global Attractor for p-Laplacian Evolution Equation; Appl Math Optim 71 (3), 517-532 
  22. P. G. Geredeli, J. T. Webster; (2014) Erratum to: Decay Rates to Equilibrium for Nonlinear Plate Equations with Degenerate Geometrically-Constrained Damping, Appl Math Optim 70, 565–566 
  23. P. G. Geredeli, I. Lasiecka; (2013) Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity, Nonlinear Anal: Theory, Methods & Applications 91, 72-92 
  24. P. G. Geredeli, J. T. Webster; (2013) Decay Rates to Equilibrium for Nonlinear Plate Equations with Degenerate Geometrically-Constrained Damping, Appl Math Optim 68, 361-390 
  25. P. G. Geredeli, I. Lasiecka and J. T. Webster; (2013) Smooth attractors of finite dimension for von Karman evolutions with nonlinear frictional damping localized in a boundary layer, Journal of Differential Equations 254, 1193-1229 
  26. P. G. Geredeli, A. Kh. Khanmamedov; (2013) Long-time dynamics of the parabolic p-Laplacian equation, Comm. on Pure and Appl. Anal., vol 2, 735-754 
  27. P. G. Geredeli, A. Kh. Khanmamedov ; (2010) On the Long-time Behavior of the Quasilinear Parabolic Equation, Numerical Analysis and Applied Mathematics, Vol. I-III, AIP Conference Pro- ceedings 128, 1987-1990 


AWARDS AND HONORS 


University of Nebraska-Lincoln
Edith T. Hitz Fellowship for Exceptional Female Scholars, 2017-2019 

University of Nebraska-Lincoln
University of Nebraska-Lincoln College of Arts and Sciences International Research Collaborations 2016 Award, 2016 

Hacettepe University, Turkey
University Honors Prize for 3rd best mathematics GPA among all students across campus, 2004 


RESEARCH VISITS

 
• 2019 (1 week): University of Zagreb, Croatia
• 2016 (1 month): University of Nebraska-Lincoln, USA
• 2015 (1 month): University of Nebraska-Lincoln, USA
• 2014 (3 months): Research Scholar, Politecnico Di Milano, Milano-Italy 

• 2011 (6 months): Research Scholar, University of Virginia, USA 


CONFERENCE ORGANIZATION

 


PRESENTATIONS 

INVITED CONFERENCE/WORKSHOP TALKS 


 

INVITED SEMINAR TALKS

 

• Florida International University, Colloquium Talk, March 2024
• Zonguldak Bulent Ecevit University (Turkey), Colloquium Talk, June 2023
• Bilkent University (Turkey), Analysis Seminar, June 2023
• University of Nebraska-Lincoln, Applied Mathematics Seminar, April 2022
• Iowa State University, Sonia Kovalevsky Day, April 2022
• Iowa State University, Iowa PDE Seminar, October 2021,
• University of Kansas, Lawrence, Analysis Seminars, March 2021
• University of Maryland, Baltimore County, Applied Mathematics Colloquium, March 2021
• Iowa State University, Orientation Seminar for Graduate Students, (Virtual) November 2020 • 8th Fall Mathematics Meetings, Interview, (Virtual), October 17-18, 2020
• Iowa State University, Orientation Seminar for Graduate Students, February 2020
• Iowa State University, CoMFRE, November 2019
• Iowa State University, CAMS, October 2019
• Iowa State University, PADS, September 2019
• University of Tennessee-Chattanooga, March 2019
• Clarkson University, Potsdam, NY, February 2019
• Iowa State University, Ames, IA, December 2018
• University of Kansas, Lawrence, PDE Seminars, October 2018
• Clemson University, SC, Analysis Seminars, September 2018
• University of Memphis, Memphis, TN, Colloquium Talk, February 2018
• University of Nebraska-Lincoln PDE Seminars, October 2017 (Part II)
• University of Nebraska-Lincoln PDE Seminars, October 2017 (Part I)
• NC State University, Raleigh NC, Differential Equations Seminars, February 2015 • University of Nebraska-Lincoln PDE Seminars, February 2015
• University of Brescia (Italy), May 2014
• Politecnico Di Milano (Italy) PDE Seminars, April 2014
• Cankaya University PDE Seminars, Ankara, 2012
• University of Virginia, PDE seminar, December 2011 (Part III)
• University of Virginia, PDE seminar, September 2011 (Part II)
• University of Virginia, PDE seminar, August 2011 (Part I)
• Ankara Differential Equations Seminars, METU, Ankara, April 2, 2010
• Ankara Differential Equations Seminars, METU, Ankara, December 26, 2009
• Ankara Differential Equations Seminars, METU, Ankara, December 12, 2009
• Ankara Differential Equations Seminars, METU, Ankara, 2007 


REFEREE AND REVIEW SERVICE 



RECENT UNIVERSITY SERVICE

 

Clemson University 

• Postdoc Hiring Committee, 2024
• Ph.D/Comprehensive Exam Committee 

Iowa State University 


GRADUATE STUDENTS and POSTDOCS

 
1. Ahmed Zytoon, (Postdoc at ISU) (Research Assistant Professor, Temple University (since 2023)) 

2. Cameron Spiess, (PhD student at CU), Expected graduation: Fall 2027
3. Jacob Manning, (PhD student at CU), Expected graduation: Fall 2027 


TEACHING 

Clemson University

 
2024-2025 Fall

• Math 8210 Linear Analysis 

2023-2024 Spring 

• Math 2080 Introduction to Ordinary Differential Equations 

2023-2024 Fall 

• Math 4530 Advanced Calculus I 


Iowa State University

 
2022-2023 Fall

• Math 201 Introduction to Proofs
• Math 501 Introduction to Real Analysis 

2021-2022 Spring 

• MATH 267 Elementary Differential Equations and Laplace Transform 

2021-2022 Fall 

• Math 165 Calculus I (LL, 1-6 sections) 

• Math165 Calculus I (LL, 38-43 sections) 

2020-2021 Spring 

• Math 520 Methods of Applied Mathematics II 

2020-2021 Fall 

• Math 207 Coordinated Linear Algebra (1 section) 

• Math 519 Methods of Applied Mathematics I 

2019-2020 Spring 

• Math 266 Differential Equations (1 section) 

• Math 290H Independent Study 

2019-2020 Fall 

• Math 207 Coordinated Linear Algebra (1 section) 


University of Nebraska-Lincoln 


• Ordinary Differential Equations (2 semesters, 3 sections) 

• Linear Algebra (2 semesters, 2 sections)
• Numerical Linear Algebra (1 semester, 1 section) 


Hacettepe University (Turkey) 


• Advanced Analysis (1 semester, 1 section)
• Multivariable Analysis (3 semesters, 1 section) 

• Matrix Theory (2 semesters, 1 section)
• Calculus I (4 semesters, 1 section)
• Calculus II (3 semesters, 1 section)
• Basic Mathematics (3 semesters, 1 section)