Education
- Ph.D. and M.Sc. in (General) Mathematics, University of Pittsburgh, USA.
- M.Sc. in Electronics & Communication Engineering, Istanbul Technical University, Turkiye.
- B.Sc. in Mathematical Engineering, Istanbul Technical University, Turkiye; with third academic year in Mathematical Sciences, Durham University, UK.
Academic Appointments
- (Innovation) Research Fellow, CAMaCS at Maths Institute, University of Warwick, UK.
- Postdoctoral Research Associate in Numerical Analysis and Tutor, Mathematical Institute, University of Oxford, UK.
- Postdoctoral Research Associate in Computational Mechanics, Department of Engineering Science, University of Oxford, UK,
- Postdoctoral Researcher, Research Initiatives Group, International Computer Science Institute at UC Berkeley, USA.
- Graduate Teaching Fellow, Department of Mathematics, University of Pittsburgh, USA.
- Research (and Teaching) Fellow, Faculty of Electrical and Electronics Engineering, Istanbul Technical University, Turkiye.
Research
My research lies at the intersection of the finite element theory, algebraic topology, discrete differential geometry, computer science, numerical analysis, and scientific computing.
Teaching & Supervision
Topics of Interest
I am currently interested in multi-physics and multi-scale modeling, and finite element methods that utilize CAD models.
Also, I am interested in the applications of AI in physical and computational sciences.
Some External Links
Recent Conferences/Workshops
- AI in Mathematical Sciences (KE Hub Working Group event), Loughborough University, UK.
- Multidimensional Sensing (KE Hub Sandpit event), University of Manchester, UK.
- Dynamical Systems and TDA (KE Hub Working Group), University of Oxford, UK.
- European Study Group with Industry (ESGI 187), University of Bristol, UK.
- The 22nd European Finite Element Fair (EFEF 2025), SISSA, Trieste, Italy.
- The Fourth Symposium on Machine Learning and Dynamical Systems, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, 2024. Poster title: Physics-Informed Neural Network Modelling of Transient Multi-Component Fluid Flow
- The 21st European Finite Element Fair (EFEF), University College London, UK, 2024. Talk title: NURBS-Enhanced Finite Element Method for Hexahedral Meshes
- The 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023), Tokyo, Japan, 2023.
- Structure-preserving numerical methods for partial differential equations, EPFL, Lausanne, Switzerland, 2023. Talk title: Discretization of BGG Complexes over Tensor-Product Meshes.
- Oxford Numerical Analysis Internal Seminar, 2023. Talk title: Discrete Tensor-Product BGG Sequences: Splines and Finite Elements.
- ASiMoV Project Meetings, Oxford, UK, 2020 – 2023.
- Oxford Numerical Analysis Internal Seminar, 2021. Talk title: The construction of stable and div-free finite elements via Stokes complexes
- Gen X Workshop, Virtual, 2020.
- Lattices: Geometry, Algorithms and Hardness, Simons Institute, UC Berkeley, USA, 2020.
- International Geometry Summit 2019, Vancouver, Canada
- Solid and Physical Modeling 2018, Bilbao, Spain
- Mathematical Modeling of 2D Materials, University of Minnesota, MN, USA, 2017
- SIAM Annual Meeting, David Lawrence Convention Center, Pittsburgh, PA, USA, 2017
- Geometric PDEs and their approximations, Winter School, Texas A&M University, College Station, TX, USA, 2016
- Finite Element Circus, Worcester Polytechnic University, MA, USA, 2016
- Finite Element Circus, University of Massachusetts, Dartmouth, MA, USA, 2015
Publications
- Representation and System-Agnostic Automated CAD Interoperability Testing based on Model Interchangeability
- A hybrid isogeometric and finite element method: NURBS-enhanced finite element method for hexahedral meshes
- Performance-Efficiency Trade-off for Fashion Image Retrieval
- Image Categorization and Search via a GAT Autoencoder and Representative Models
- A Multi-Time Stepping Algorithm for the Modelling of Heterogeneous Structures With Explicit Time Integration
- Discrete Tensor Product BGG Sequences: Splines and Finite Elements
- An Automated Approach for the Discovery of Interoperability
- A Review of Geometric Integrity Criteria for Military Standards-31000A
- On Verification of Interoperability of CAD Systems with a Focus on Invariant Properties
- Conforming Stokes Elements Yielding Divergence-Free Approximations on Quadrilateral Meshes
- Macro Stokes Elements on Quadrilaterals
- Stokes Elements on Cubic Meshes yielding Divergence-Free Approximations
- The Derivation of Breast Cancer Models from MRI Images for Breast Cancer Detection
Recent Activities
- I presented at the Thematic Programme on Differential Complexes: Theory, Discretization, and Applications at ESI. Talk: “Construction of structure-preserving finite elements on n-dimensional cubical meshes via differential complexes”.
- I served as a panelist at the first KE Hub AI in Mathematical Sciences Working Group event that took place at Loughborough University in February 2026.
- I attended the Multidimensional Sensing Sandpit that is organized by KE Hub and will take place at the University of Manchester in January 2026. My group addressed the problem posed by Thales.
- I am co-organising the Faculty of Science, Engineering, and Medicine Symposium (FSEM 2026) at the University of Warwick. .
- I participated in the Working Group Event organized by the KE Hub at the University of Oxford. The event focused on the applications of Dynamical Systems and TDA. My group addressed the problem posed by QINETIQ in the subgroup I led.
- I participated in the ESGI 187 that took place at the University of Bristol. My group addressed the problem posed by the SS Great Britain Trust. Technical report on this study (Mathematical modeling of humidity transport for the conservation of the historic ship the SS Great Britain) will soon be available.
Duygu Sap 