Mathematics PhD from at Syracuse University specializing in Commutative Algebra and Homological Algebra. Passionate about solving complex problems through data-driven approaches and mathematical modeling. I am currecntly a post-doc researcher in Syracuse University

• Research: Studying the Auslander–Reiten Conjecture, with a focus on homological algebra and related algebraic structures.

• AI Development: Building and training an AI agent specialized in homological algebra (with plans to expand its scope to broader areas of mathematics).

• Learning: Exploring quantum cryptography and its deep connections with algebraic geometry.

• Career: Open to academic and industry opportunities in mathematics, AI, and quantitative research

• Commutative Algebra and Homological Algebra
• Cryptography
• Graph theory and combinatorics
• Probability and statistics
• LLM
• AI agent

• Betti Numbers for Modules Over Artinian Local Rings (https://arxiv.org/abs/2503.11866)

• Advanced techniques in systematic finance
• Machine learning and data science applications
• Market dynamics and cross-asset correlations
• Performance optimization in computational mathematics

Programming Languages:

• Python (NumPy, PyTorch, Pandas, Matplotlib, Seaborn)
• R
• MySQL
• LaTeX

Tools:

• Tableau
• Excel
• Git
• Ubuntu Linux

Core Competencies:

• Quantitative analysis
• Statistical methods
• Algorithm development
• Data visualization
• Complex problem-solving
• Research methods

• PhD in Mathematics 2025 - Syracuse University
• MS in Mathematics 2021 - Syracuse University
• BA in Mathematics 2018 - Brandeis University

• Teaching Experience - Syracuse University (2018-Present)
  • Instructor for Calculus I, Calculus II, and Probability & Statistics
  • Mentor for the Directed Reading Program

• "Invariant of Cohen-Macaulay Ring and its application" - AMS Special Session, SUNY Albany (October 2024)
• "Invariant of Cohen-Macaulay Ring and its application" - Algebra Seminar, Syracuse University (October 2024)
• "Spectral Sequence and Its Application" - WALKS, Syracuse University (February 2023)

• Research projects in commutative algebra
• Data analysis and machine learning applications
• Computational mathematics problems
• Open-source mathematical software

• LinkedIn: linkedin.com/in/kaiyuehe

• I enjoy applying mathematics to real-world scenarios, like using sports data to teach statistics
• Fast learner who thrives in challenging environments
• Passionate about fostering inclusive learning environments in mathematics
• Enjoy participating in community service activities

Check out my recent projects and publications for more details about my work!