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Welcome!
I’m Pankaj Singh, a Ph.D. candidate in Mathematics at the University of South Carolina (USC) in Columbia, South Carolina, advised by Dr. Alexander Duncan.
My research interests are broadly in algebraic geometry and related areas, including number theory, commutative and non-commutative algebra, and representation theory. I also enjoy computational approaches to algebra (e.g., experimentation in Python/SageMath/Macaulay2) and I’m especially interested in formalized mathematics and proof assistants, with an eye toward contributing to community libraries through focused formalization projects.
I am currently on the academic job market for the 2025–2026 academic year.
Relevant documents are available here
Curriculum Vitae (Academic) - (Drive link)
Curriculum Vitae (Academic + Technical Skills) - (Drive link)
I am guided by the principles shared by Federico Ardila, which reflect a vision of inclusive and empowering mathematics:
Axiom 1: Mathematical potential is equally present in all groups, regardless of geographic, demographic, or economic boundaries.
Axiom 2: Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3: Mathematics is a powerful, malleable tool that different communities can shape and use to meet their own needs.
Axiom 4: Every student deserves to be treated with dignity and respect.
These principles shape how I approach learning, teaching, and engaging with mathematics.
Office: Leconte college Room 413
Contact: pksingh[at]email[dot]sc[dot]edu
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