Education

Dr. rer. nat., Algebraic and Tropical Geometry
RPTU Kaiserslautern-Landau, Germany — 2020–2026 — magna cum laude
Thesis: Automorphism Groups of K3 Surfaces and A1-Multiplicities of Tropical Quartic Curves. Collaborative research with Fraunhofer ITWM (HPC group).

M.Sc., Algebraic Geometry, Tropical Geometry, Number Theory and Computer Algebra
Technische Universität Kaiserslautern, Germany — 2016–2020 — thesis graded 1.0
Thesis: Algorithmic Generation of Covers of Tropical Elliptic Curves

M.A., Functional Analysis, Numerical Analysis, Operational Research
University of Karachi, Pakistan — 2010–2012
Thesis: Queuing Theory and Its Applications: Analysis of the Transaction Servers at the Two Banks

B.A., Economics, Mathematics, Statistics
St. Joseph's College for Women, Karachi, Pakistan — 2008–2010

Mathematical Foundations

  • Algebraic Geometry
  • Tropical Geometry
  • Combinatorial Geometry
  • Computational Geometry
  • Computer Algebra
  • Number Theory
  • Cryptography
  • Functional Analysis
  • Real Analysis
  • Numerical Analysis
  • Linear Algebra
  • Ordinary & Partial Differential Equations
  • Operations Research
  • Statistical Modeling
  • Mathematical Physics
  • Mechanics
  • Systems & Control Theory
  • Tensor Analysis