Duygu Sap
Mathematical Researcher
Education
- Ph.D. & M.Sc. in Mathematics, University of Pittsburgh.
- M.Sc. in Electronics & Communication Engineering, Istanbul Technical University.
- B.Sc. in Mathematical Engineering, Istanbul Technical University.
Teaching
Research
My research lies at the intersection of the finite element theory, algebraic topology, discrete differential geometry, computer science and scientific computing.
Topics of Interest
I am currently interested in multi-physics and multi-scale modeling, and finite element methods that utilize CAD models.
Also, I have some interest in machine learning and deep learning.
Recent Conferences/Workshops
- ASiMoV Meetings, Oxford, UK, 2020 – 2021.
- 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
- 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
