The Core Curriculum
This intensive program covers five foundational pillars essential for pre-graduate and graduate level physics globally:
- Linear Algebra for Quantum Mechanics: Vector spaces, operators, spectral theory, density matrices.
- Differential Equations: Sturm-Liouville systems, Green’s functions, nonlinear dynamics.
- Complex Variables: Analyticity, complex integration, causal relations.
- Group Theory for Quantum Mechanics: Group axioms, representations, Lie groups, Wigner-Eckart theorem.
- Differential Geometry: Manifolds, tensors, differential forms, applications to GR.
World-Class Faculty
Learn directly from leading theorists and researchers:
- Dr. Pervez Hoodbhoy (Nuclear Theory, MIT PhD)
- Dr. Hassan Azad (Group Theory, Notre Dame PhD)
- Dr. Jamil Aslam (Particle Physics, QAU PhD)
- Dr. Waqas Masood (Plasma Theory, Univ. of London PhD)
- Dr. Ahsan Zeb (Condensed Matter Theory, Univ. of Cambridge PhD)
Modalities & Structure
- Rigorous Pace: 2 lectures daily of 90 minutes each for four weeks (8 lectures per instructor)
- Interactive: Dedicated time built-in daily for deep-dive discussions.
- Exclusive Cohort: A maximum of 20 students will be selected globally based on a strict competitive review.
- Recognition: A formal certificate will be awarded upon successful completion of the school.
Who Should Apply?
If you are an advanced undergraduate or early-stage graduate student ready to bridge the gap between intuition and mathematical rigor, we want you. Selection will be on the basis of a written test. Scholarships are available. It is assumed that participants will have their own accommodation in Islamabad.
Test Requirement
A 90-minute test, to be held at TBH in the last week of July, will be administered to check for the applicant’s competence in basic vector calculus, elementary differential equations, and linear algebra. If you have not already studied these subjects this workshop will not be useful to you.
Application Date and Fee
- Applications must be submitted online before 10 July 2026.
- A non-refundable test fee of PKR 1,000 must be paid in cash to the TBH Librarian before 20 July 2026.
- The course fee is PKR 10,000 (for those who clear the admission test).
- Scholarships are available for deserving candidates.
For Queries or More Information:
Email: sanan@theblackhole.pk | Phone: 051-8743030
