BIOGRAPHICAL SKETCH

EDUCATION BACKGROUND

  • 2019 – 2025
    Ph.D. in Mathematics, Ankara University, Ankara, Türkiye
  • 2016 – 2018
    M.Sc. in Mathematics, Hacettepe University, Ankara, Türkiye
  • Spring 2017
    Special Student (M.Sc.), METU, Ankara, Türkiye

RESEARCH EXPERIENCE

  • Jan 2023 – Jan 2024
    University of Maryland, College Park, MD, USA
    Research Scholar

RESEARCH INTERESTS

  • Applied Mathematics
  • Partial Differential Equations
  • Mathematical Biology

FUNDING & FELLOWSHIPS

  • Centre International de Mathématiques Pures et Appliquées (CIMPA) Grant (€1000 + accommodation expenses) (2025)
  • TÜBİTAK 2214-A International Research Fellowship for Ph.D. Students ($21600 + travel expenses) (2022)

FUNDING FOR EVENTS

  • Turkish Mathematical Society – MAD Fund for Mathematical Modeling Symposium (₺25000/$650) (2025)
  • Society for Industrial and Applied Mathematics (SIAM) (2025 – present)
  • Association for Women in Mathematics (AWM) (2025 – present)
  • Society for Mathematical Biology (SMB) (2020 – present)

Bilkent University, Ankara, Türkiye

  • MATH 230 (Probability and Statistics for Engineers) (Fall 2025)
  • MATH 106 (Introduction to Calculus II) (Summer 2025)
  • MATH 106 (Introduction to Calculus II) (Spring 2025)
  • MATH 105 (Introduction to Calculus I) (Fall 2024)

Directed Reading Program Turkiye

  • Bartu Gencer, Bogazici University (Summer 2025 )
    Research Focus: Formulations of Waddington’s landscape via different decompositions.[Report]
  • Beyza Nur Korkmaz, Bursa Technical University ( Summer 2024)
    Research Focus: Utilizing Diffusion Tensor Imaging (DTI) data to predict the anisotropic pathways of cancer invasion.

INVITED TALKS

  • 13 Nov 2025: Cayetano Heredia University, II Encuentro Multidisciplinario de Ciencias Naturales y Exactas: Rosalind Franklin, Online
    Talk: Evolution of Mathematical Models of Tumor Growth
  • 10 June 2025: University of Havana, CIMPA Research School, Havana, Cuba
    Talk: Reaction-Diffusion Formalism for Glioma Growth
  • 7 Apr 2025: Bilkent University, Departmental Seminar, Ankara, Türkiye
    Talk: A Mathematical Model for Tracking Malignancy in the Human Brain
  • 12 Sep 2024Yasar University, İzmir Mathematics Days VI, İzmir, Türkiye
    Talk: DTI-Based Mathematical Modeling of Glioma Invasion
  • 3 Sep 2024Bilkent University, Departmental Seminar, Online
    Talk: Mathematical Modeling of Glioblastoma Growth
  • 30 Jul 2024DRP Türkiye 2024, Lightning Talks, Online
    Talk: On Mathematical Oncology
  • 23 May 2024Ankara Hacı Bayram Veli University, 15th Ankara Mathematics Days, Ankara, Türkiye
    Talk: A Macroscopic-Scale Fractional Model for Glioblastoma Recurrence Monitoring
  • 3 May 2024İzmir University of Economics, 9th Workshop of Association for Turkish Women in Maths, İzmir, Türkiye
    Talk: A Fractional Mathematical Model for Macroscopic Dynamics of Glioblastoma Growth
  • 23 Feb 2024Hacettepe University, Department of Mathematics, Graduate Seminars III, Ankara, Türkiye
    Talk: Examining Glioblastoma Dynamics Through a Fractional Mathematical Modeling Perspective
  • 3 Oct 2023National Cancer Institute, Departmental Seminar, MD, USA
    Talk: Tracking Glioblastoma Recurrence: A Novel Prognostic Mathematical Model Approach
  • 31 Mar 2023University of Maryland, Monroe Martin Talks, MD, USA
    Talk: Time-Fractional Order Modeling of Brain Tumor Dynamics
  • 27 Jun 2018Yasar University, İzmir Mathematics Days I, İzmir, Türkiye
    Talk: Bäcklund Transformations of Nonlinear Partial Differential Equations
  • Kar, N. (2025). A comparative study of hypofractionated and standard fractionated radiotherapy in glioblastoma with two different growth patterns. In preparation.
  • Kar, N., Özalp, N. (2024). A fractional mathematical model approach on glioblastoma growth: tumor visibility timing and patient survival. Mathematical Modelling and Numerical Simulation with Applications, 4(1), 66-85.
  • Kar, N. (2023). Time-fractional quenching problem: Blow-up of $D_t^{\alpha} u$ at the quenching point. arXiv:2306.07508 [math.AP]

SERVICE & SCIENCE OUTREACH