HyperComplex Seminar Courses

Superconducting Single-Photon Detectors: Twenty Plus Years of Development and Applications

Explore superconducting single-photon detectors' evolution, physics, and applications in quantum communication, medical imaging, and VLSI testing over the past two decades.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Sigma-Monogenic Functions in Commutative Algebras

Explore sigma-monogenic functions in commutative algebras, delving into their properties, applications, and connections to harmonic mappings and pseudoanalytic function theory.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Smooth Continuations of Gradients for Biharmonic Functions via Monogenic Functions

Explore smooth continuations of gradients for biharmonic functions using monogenic functions in biharmonic algebra. Discover necessary and sufficient conditions for gradient continuation across smooth curves.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Recovering Bicomplex Holomorphic Functions Without Cauchy-Riemann Equations

Explore advanced techniques for recovering bicomplex holomorphic functions without using Cauchy-Riemann equations, focusing on complex harmonic functions and their applications in hypercomplex analysis.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Engineering Resonant Metasurfaces for Photonic Applications

Explore engineering approaches for resonant metasurfaces in photonics. Learn about 2D nanostructures, their applications, and novel design methods for enhanced light-matter interactions and specific optical functionalities.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Chimera States for Coupled Pendula

Explore chimera states in coupled pendula systems with Prof. Tomasz Kapitaniak's insightful seminar on complex synchronization phenomena.

• YouTube
• 41 minutes
• On-Demand
• Free Video

The Divergence Theorem for Vector Fields - Applications and Generalizations

Explore the divergence theorem's applications in PDEs, geometry, physics, and engineering, including proofs of Archimedean principle and multidimensional Pythagorean theorem.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Pattern Explorer Tool for Testing CEP Patterns

Explore a tool for testing Complex Event Processing patterns through automata compilation and symbolic event sequence generation. Enhance pattern understanding and error detection in event streams.

• YouTube
• 44 minutes
• On-Demand
• Free Video

On Convex Peano Curve, Connected Methods and Problem

Explore continuous surjections mapping intervals to convex sets in Cartesian space. Discover new convex analysis methods applicable to various function classes and related conjectures.

• YouTube
• 45 minutes
• On-Demand
• Free Video

2WQC - Adding Postparation as Reversed State Preparation Process to Solve NP Problems

Explore analytical solutions for position-based charge qubits and N-interacting qubits in quantum dot networks. Examine Hadamard and phase-rotating gates, and the interface between superconducting and semiconductor qubits.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Quantum and Post-Quantum Cryptography - Opportunities, Controversies, and Path to Quantum Resistance

Explore quantum-resistant cryptography, including post-quantum algorithms and physical-layer approaches. Examine NIST's recent announcements and the potential of hybrid solutions for secure communication in the quantum era.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

On the Continuous Extension of the Logarithmic Double Layer Potential to Boundary of Domain

Explore continuous extension of logarithmic double layer potential to Ahlfors-regular curve boundaries. Learn necessary and sufficient conditions for extension and examine illustrative examples.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Geometric Properties of Quantum States Representing Directed Graphs on Quantum Computer

Explore geometric properties of multi-qubit states represented by directed graphs, examining curvature, torsion, and entanglement using quantum computers and simulators.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Low-energy High-performance Computing Based on Superconducting Technology

Explore superconducting computing's potential for energy-efficient, high-performance applications. Learn about SFQ logic, adiabatic logic, and innovative circuit technologies advancing post-CMOS computing.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Application of Unsupervised Learning to AC Susceptibility Measurements of High-Temperature Superconductors

Explore unsupervised learning applications in analyzing AC susceptibility measurements of high-temperature superconductors, focusing on clustering techniques and data representation methods.

• YouTube
• 33 minutes
• On-Demand
• Free Video