Human-AI Co-Creativity: Exploring Synergies Across Levels of Creative Collaboration

Human-AI co-creativity represents a transformative shift in how humans and generative AI tools collaborate in creative processes. This chapter explores the synergies between human ingenuity and AI capabilities across four levels of interaction: Digital Pen, AI Task Specialist, AI Assistant, and AI Co-Creator. While earlier digital tools primarily facilitated creativity, generative AI systems now contribute actively, demonstrating autonomous creativity in producing novel and valuable outcomes. Empirical evidence from mathematics showcases how AI can extend human creative potential, from computational problem-solving to co-creative partnerships yielding breakthroughs in longstanding challenges. By analyzing these collaborations, the chapter highlights AI's potential to enhance human creativity without replacing it, underscoring the importance of balancing AI's contributions with human oversight and contextual understanding. This integration pushes the boundaries of creative achievements, emphasizing the need for human-centered AI systems that foster collaboration while preserving the unique qualities of human creativity.