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Dr. Bunyamin Sari

Associate Professor

University of North Texas

Department of Mathematics

(940) 369-8827

Email: bunyamin@unt.edu

Education

  • PhD, University of Alberta, 2003
    Major: Mathematics
    Dissertation: Asymptotic structures in Banach spaces
  • BS, Bogazici University, Istanbul, 1997
    Major: Mathematics

Professional Positions

  • Assistant Professor, University of North Texas. University of North Texas. (2005 - Present).
  • Visiting Assistant Professor, University of South Carolina. University of South Carolina. (2004 - 2005).
  • Postdoctoral Fellow, University of Alberta. University of Alberta. (2003 - 2004).

Teaching

Teaching Experience

    University of North Texas

  • MATH 1710 - Calculus I, 6 courses.
  • MATH 1720 - Calculus II, 6 courses.
  • MATH 2510 - Real Analysis I, 3 courses.
  • MATH 2520 - Real Analysis II, 2 courses.
  • MATH 2700 - Linear Algebra and Vector Geometry, 2 courses.
  • MATH 2730 - Multivariable Calculus, 6 courses.
  • MATH 3000 - Real Analysis I, 5 courses.
  • MATH 3410 - Differential Equations I, 30 courses.
  • MATH 3610 - Real Analysis II, 1 course.
  • MATH 3740 - Vector Calculus, 1 course.
  • MATH 4100 - Fourier Analysis, 1 course.
  • MATH 4900 - Special Problems, 9 courses.
  • MATH 5000 - Instructional Issues for the Professional Mathematician, 1 course.
  • MATH 5110 - Introduction to Analysis, 3 courses.
  • MATH 5120 - Introduction to Analysis, 3 courses.
  • MATH 5310 - Functions of a Real Variable, 2 courses.
  • MATH 5320 - Functions of a Real Variable, 2 courses.
  • MATH 5900 - Special Problems, 12 courses.
  • MATH 6000 - Millican Colloquium, 5 courses.
  • MATH 6150 - Functional Analysis, 8 courses.
  • MATH 6900 - Special Problems, 9 courses.
  • MATH 6940 - Individual Research, 2 courses.
  • MATH 6950 - Doctoral Dissertation, 20 courses.

Directed Student Learning

  • Master's Thesis Committee Chair, "HAAR BASIS IS 2-PLAYER 1 REPRODUCIBLE," Mathematics. (September 1, 2016 - July 20, 2023).
  • Master's Thesis Committee Chair, "The Gelfand-Naimark Theorem," Mathematics. (September 1, 2021 - July 7, 2022).
  • Major Professor, "On the subspace dichotomy of L_p, p>2," Mathematics. (September 1, 2016 - April 14, 2021).
  • Major Professor, "PhD Thesis: INFINITARY COMBINATORICS AND THE SPREADING MODELS OF BANACH SPACES," Mathematics. (September 1, 2013 - December 4, 2018).
  • Major Professor, "Trees and ordinal indices in C(K) spaces," Mathematics. (September 1, 2010 - May 1, 2015).

Awards and Honors

  • Young Investigator Award, NSF funded, Analysis and Probability Workshop, Texas A&M University. (2008).
  • Postdoctoral fellowship, University of Alberta. (2003).
  • FS Chia PhD Scholarship, University of Alberta. (1997).
  • Tubitak, Undergraduate scholarship, Turkish Scienti. (1992).

Research

Published Intellectual Contributions

    Conference Proceeding

  • with S. Dilworth (Eds. B. Randrianantoanina and N. Randrianantoanina). (2007). "Orlicz sequence spaces with denumerable sets of symmetric sequences" , in Banach spaces and their applications in Analysis.
  • with M. Gonzales and M. Wojtowicz,. (2007). "Semi-homogeneous bases in Orlicz sequence spaces" in Function spaces, Contemporary Mathematics, 435, 171- 181.

    • Journal Article

  • Sari, B., Gaebler , H., Motakis, P. (2024). On the complete separation of unique l_1 spreading models and the Lebesgue property of Banach spaces. Canadian Journal of Mathematics. https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/on-the-complete-separation-of-unique-ell-1-spreading-models-and-the-lebesgue-property-of-banach-spaces/23036AEA8E9750496F5B924E4EF08D32#article
  • Sari, B., Gaebler , H. (2024). Banach spaces with the Lebesgue property of Riemann integrability. Journal of Functional Analysis. 287 (2) https://www.sciencedirect.com/science/article/abs/pii/S0022123624001502
  • Sari, B., Dilworth, S., Kutzarova, D., Stankov, S. (2023). Duals of Tirilman spaces have unique subsymmetric basic sequences. Bulletin of the London Mathematical Society. 56 (1) Wiley. https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.12920
  • Freeman, D., Odell, E., Sari, B., Zheng, B. (2018). On spreading sequences and asymptotic structures. Transactions of the American Mathematical Society. 370 6933-6953. http://www.ams.org/journals/tran/2018-370-10/S0002-9947-2018-07189-6/
  • Argyros, S., Motakis, P., Sari, B. (2017). A study of conditional spreading sequences. Journal of Functional Analysis. 273 (3) 1205-1257. https://www.sciencedirect.com/science/article/pii/S0022123617301544
  • Alspach, D., Sari, B. (2016). Separable elastic Banach spaces are universal. Journal of Functional Analysis. 270 (1) 177-200. https://www.sciencedirect.com/science/article/pii/S0022123615004164
  • Gao, S., Jackson, S.C., Sari, B. (2011). On the complexity of the uniform homeomorphism relation between separable Banach spaces. Transactions of the American Mathematical Society. 363 (6) 3071-3099.
  • S. Gao, S. Jackson, and B. Sari. (2011). On the complexity of the uniform homeomorphism relation between separable Banach spaces. Transactions of the American Mathematical Society. 363 (6) 3071-3099.
  • E. Odell, B. Sari, Th. Schlumprecht and B. Zheng. Systems formed by translations of one element in Lp(R), to appear in the Transactions of the American Mathematical Society.
  • with S. Dilworth and E. Odell. (2007). Lattice structures and spreading models.
  • with T. Schlumprecht, N. Tomczak-Jaegermann and V. Troitsky. (2007). On closed ideals in L(l_p, l_q).
  • Sari, B. (2007). On the structure of symmetric sequences in Orlicz sequence spaces.
  • Sari, B. (2006). On Banach spaces with few spreading models.
  • Sari, B. (2004). Envelope Functions and Asymptotic Structures in Banach Spaces.

    • Popular Press Article

  • Sari, B. (2003). Asymptotic structures in Banach spaces.

Presentations Given

  • Sari, B. (Other), On the complexity of uniform homeomorphism of Banach spaces, (2008 - 2008).
  • Sari, B. (Other), On uniform classification of direct sums of lp spaces, (2008 - 2008).
  • Sari, B. (Other), (2007 - 2007).
  • Sari, B. (Other), (2007 - 2007).
  • Sari, B. (Other), (2007 - 2007).
  • Sari, B. (Other), On the complexity of uniform homeomorphism of Banach spaces, (2007 - 2007).
  • Sari, B. (Other), (2006 - 2006).
  • Sari, B. (Other), (2006 - 2006).
  • Sari, B. (Other), Lattice structures and spreading models, (2006 - 2006).
  • Sari, B. (Other), Lattice structures and spreading models, (2006 - 2006).
  • Sari, B. (Other), Metric Geometry and Geometric Embeddings of Discrete Metric Spaces, (2006 - 2006).
  • Sari, B. (Other), Projections associated to asymptotic structure, (2006 - 2006).
  • Sari, B. (Other), Ramsey techniques in Banach spaces, (2006 - 2006).
  • Sari, B. (Other), (2005 - 2005).
  • Sari, B. (Other), (2005 - 2005).
  • Sari, B. (Other), Envelope Functions and Asymptotic-lp spaces, (2004 - 2004).
  • Sari, B. (Other), On a spreading model problem, (2004 - 2004).
  • Sari, B. (Other), (2003 - 2003).
  • Sari, B. (Other), Ideals of operators on classical Banach spaces, (2003 - 2003).
  • Sari, B. (Other), On the structure of the set of spreading models of Orlicz spaces, (2003 - 2003).
  • Sari, B. (Other), (2002 - 2002).
  • Sari, B. (Other), On spreading models of Orlicz sequence spaces, (2002 - 2002).
  • Sari, B. (Other), (1999 - 1999).

    • Invited Talk

  • Sari, B. (Author), Functional Analysis in the Pacific Northwest, Banach-Mazur distances between $C(\alpha)$ spaces, University of Oregon, Eugene, OR, United States of America. (2025 - 2025).
  • Sari, B. (Author), Geometric Nonlinear Functional Analysis, On coarse geometry of the James tree spaces, BIRS (Banff International Research Station), Oaxaca, Mexico, Mexico. (2025 - 2025).
  • Sari, B. (Author & Presenter), “Mathematical Analysis” in honor of Spiros Argyros, Banach spaces with the Lebesgue property of Riemann integrability, National Technical University of Athens, Athens, Greece, Greece. (2024 - 2024).
  • Sari, B. (Author & Presenter), Methods in Banach spaces, On coarse geometry of the James tree space, satellite event of the 9th European Congress of Mathematics, Badajoz, Spain, Spain. (2024 - 2024).
  • Sari, B. (Author & Presenter), Workshop in Analysis and probability, On coarse geometry of James tree space, Texas A&M University, College Station, United States of America. (2023 - 2023).
  • Sari, B. (Author & Presenter), Analysis and Probability Workshop, On coarse (non)-universality of separable dual Banach spaces, Texas A&M, College Station, United States of America. (2022 - 2022).
  • Sari, B. (Author & Presenter), Non Linear Functional Analysis, Ribe's theorem and Krivine stabilization, CIRM Luminy, Marseille, France, France. (2018 - 2018).
  • Sari, B. (Author & Presenter), AMS session on Banach space theory and metric embeddings, $C(\Delta)$ trees on $C(\alpha)$, CUNY, NY, United States of America. (2017 - 2017).
  • Sari, B. (Author & Presenter), Analysis Seminar, Texas A&M, $C(\Delta)$ trees on $C(\alpha)$, Texas A&M University, United States of America. (2016 - 2016).
  • Sari, B. (Author & Presenter), Conference on Geometric Functional Analysis in Honour of Nicole Tomczak-Jaegermann, Separable elastic Banach spaces are universal, University of Alberta, Canada. (2016 - 2016).

    • Professional Meeting Contribution

  • Sari, B. (Coordinator/Organizer), AMS session on Banach spaces and applications, Organizer, AMS, Denton, United States of America. (2017 - 2017).

    • Webinar

  • Sari, B. (Author & Presenter), Banach spaces webinar, On Sanders’ proof of inequivalence of Walsh and trigonometric systems, UNT, Denton, United States of America. (2020 - 2020).

Contracts, Grants, Sponsored Research

    Grant - Research

  • Sari, B., "Linear and nonlinear problems in Banach space theory," sponsored by Simons Foundation, Private, $35000 Funded. (2011 - 2016).
  • Sari, B. (Principal), Gao, S. (Principal), "Problems in Linear and Nonlinear Geometry of Banch Spaces," sponsored by Simons Foundation, FOND, Funded. (2011 - 2016).

Service

University Service

  • Committee Member, Real Analysis qual. (August 1, 2024 - Present).
  • Co-Chair, Associate chairperson. (May 1, 2021 - Present).
  • Committee Member, Professional development plan. (June 1, 2025 - October 23, 2025).
  • Chairperson, Postdoc search committee. (January 1, 2025 - May 1, 2025).
  • Committee Member, EC (TFAC). (August 1, 2024 - May 1, 2025).
  • Member, CAS computing committee. (January 1, 2020 - February 1, 2022).
  • Committee Member, Real Analysis Qual. (2010 - 2021).
  • Chairperson, Millican Colloquium. (September 1, 2014 - January 1, 2020).
  • Committee Member, CAS computing. (2019 - 2019).

Professional Service

  • Program Organizer, Banach spaces webinar. Denton, TX. (February 7, 2020 - Present).
  • Reviewer, Journal Article, Several mathematical journals. (January 1, 2020 - Present).
  • Session Chair, ICM 2022 (virtual). Helsinki (Virtual), (July 6, 2022 - July 14, 2022).