Shashank Pratap Singh
Department of Mathematics, University of Iowa
Iowa City, IA 52242
Email: shashank-singh@uiowa.edu
Profile
Ph.D. candidate in Mathematics (expected 2026) specializing in representation theory, Hopf algebras, and tensor categories. Current research focuses on generalizing classical representation-theoretic results (such as Gabriel’s theorem) to the setting of tensor categories.
Research Interests
- Primary: Representation theory, Hopf algebras, tensor categories, quiver representations, category theory.
- Specific focus: Generalizations of Gabriel’s theorem, Taft algebras, module categories, algebra objects and related structures in tensor categories.
Education
Ph.D. in Mathematics, University of Iowa (expected 2026)
Advisor: Prof. Ryan Kinser
Dissertation: Quivers and Tensor Categories
B.S. & M.S. in Mathematics, Indian Institute of Science Education and Research, Pune (2018)
Advisor: Prof. Chandrasheel Bhagwat
Master’s Thesis: Class Field Theory and Tate’s Thesis
Presentations
Conference presentations
- Module categories in the representation category of Taft algebras
QuaSy-Con III, Iowa State University, November 2025 - Algebra objects in the representation category of Taft algebras
AMS Sectional Meeting, St. Louis, October 2025 - Tensor algebras in the representation category of Taft algebras
Hopf25, Université libre de Bruxelles, April 2025 - Understanding Hopf algebra representations through quivers
AMCS-MATH Day, University of Iowa, September 2024
Seminar talks
- Tensor algebras in tensor categories
Algebra Seminar, Saint Louis University, November 2024 - Tensor algebras in tensor categories
Algebra Seminar, University of Iowa, October 2024 - Exact module categories and module algebras
Algebra Seminar, University of Iowa, February 2024
Outreach and general-audience talks
- Scissors, shapes, and tensor products
GAUSS, University of Iowa, May 2025 - The ABCs of algebraic geometry
GAUSS, University of Iowa, October 2023
Teaching Experience
Instructor of Record, University of Iowa
- College Algebra (Spring 2023; Fall 2023; Fall 2024; Fall 2025)
Coordinated multi-section course (typically 15–20 sections) with 35–40 students per section. Responsible for lectures, assessment design, grading, and coordination with other instructors to maintain common standards. - Elementary Functions (Fall 2022)
Coordinated multi-section course (typically 3-4 sections) with 35–40 students per section. Responsible for lectures, assessment design, grading, and coordination with other instructors to maintain common standards.
Teaching Assistant, University of Iowa
- Introduction to Abstract Algebra (Spring 2025)
Led discussion sections, held office hours, and provided individualized student support. - Engineering Math I: Single Variable Calculus (Spring 2022)
Ran recitation sections and graded assignments. - Qualifying Exam Preparation Seminars (Algebra) (Summer 2023)
Organized and led intensive review sessions for graduate students preparing for the algebra qualifying exam.
Tutoring and Academic Support
- Math Platoon (Spring 2022; Spring 2025; Fall 2025)
Provided specialized tutoring for army veterans enrolled in university mathematics courses. - Math Tutorial Lab (Spring 2022, 2023, 2025; Fall 2022, 2023, 2024, 2025)
Offered drop-in tutoring across a range of undergraduate mathematics courses, from precalculus through upper-level classes.
Technical Skills
- Mathematical software: SageMath, LaTeX
- Programming: Python, C++
- Typesetting & visualization: Advanced LaTeX, TikZ, Beamer
Awards and Fellowships
- Erwin and Peggy Kleinfeld Scholar, Department of Mathematics, University of Iowa
Fall 2023 – Spring 2026 - Kleinfeld Math Graduate Recruitment Fellowship, Department of Mathematics, University of Iowa
Fall 2021 – Summer 2022 - INSPIRE Scholarship, Department of Science & Technology, India
Fall 2013 – Spring 2018
Service and Outreach
- Directed Reading Program mentor (Fall 2024)
Mentored undergraduate student Grant Trentz in cryptography and number theory. - Graduate student reading group co-organizer
Selected materials and coordinated weekly reading groups (6–8 graduate students):- Hopf algebras (Spring 2024)
- Lie algebras and their representations (Fall 2023)
- Tensor categories (Spring 2023)