CV

Education

• Ph.D. in Mathematics, Purdue University; Advisor: Bernd Ulrich (In Progress)
• B.S. in Mathematics, Kent State University

Publications and Preprints

On Zero-Dimensional Glicci Monomial Ideals. B. Mudrak. (Submitted. Available on arXiv).

Cp-Mackey Functors in Macaulay2. T. Brazelton, D. Chan, B. Mudrak, B. Spitz, C. Vogeli, C. Wang, M. Zeng, S. Zotine. (Submitted. Available on arXiv).

Multiplicity lists by diameter: All trees of diameter < 7. C. R. Johnson, B. Mudrak, C. M. Saiago. (October 2025). Linear Algebra and its Applications.

On Estimating Recommendation Evaluation Metrics under Sampling. R. Jin, D. Li, B. Mudrak, J. Gao, Z. Liu, (2021). Proceedings of the AAAI Conference on Artificial Intelligence.

Relevant Talks

• Purdue Student Commutative Algebra Seminar:
  • Licci and Glicci Monomial Ideals - Spring 2026
  • Canonical Modules and their Traces – Spring 2025
  • Stanley Reisner Ideals and Polarization – Spring 2025
  • Linkage and Residual Intersections – Fall 2024
• Purdue Student Colloquium
  • Graded Algebraic Betti Numbers - Spring 2026
  • On Gorenstein Liaison – Spring 2025

Teaching

• Instructor of Record
  • Calculus 1 (MA 16010) – Purdue University (Fall 2023)
  • Math as a Profession and a Discipline (MA 108) - Purdue University (Fall 2025)
• Teaching Assistant
  • Calculus 2 (MA 162) – Purdue University (Fall 2021, Spring 2022)
  • Linear Algebra and ODEs (MA 262) – Purdue University (Fall 2022, Spring 2023)
• Grader
  • Linear Algebra (MA 511) – Purdue University (Summer 2023, Spring 2025)
  • Commutative Algebra (MA 557) – Purdue University (Fall 2024)
  • An Introduction To Proof Through Real Analysis (MA 301) - Purdue University (Fall 2025)

Mentoring

• Purdue Experimental Math Lab Graduate Mentor Combinatorics of Cyclic and Abelian Group Actions. Mentees: Carson Gull, Josh Park, Arthur Illidge. Faculty Mentor: Prof. Shaver Phagan. (Spring 2026)
• Purdue Experimental Math Lab Graduate Mentor Learning Bridge Numbers of Knots. Mentees: Anand Shanker, Shawanwit Poomsa-ad. Faculty Mentor: Prof. Thi Hahn Vo. (Fall 2025)
• Purdue Directed Reading Program Mentor: Graded Betti Numbers of Ideals. Mentee: Josh Park. (Fall 2025 - Spring 2026)

Service

• Teaching Assistant Evaluation Panelist - Purdue University (Fall 2025)
• AMS Graduate Student Chapter President - Purdue University (Fall 2025 - Spring 2026)
• Math Department Graduate Representative - Purdue University (Summer 2025 - Spring 2026)
• Student Commutative Algebra Seminar Ideal Conversations Organizer – Purdue University (Fall 2025 – Spring 2026)
• Bridge to Research Seminar Organizer – Purdue University (Fall 2025 – Spring 2026)
• Student Colloquium Organizer – Purdue University (Fall 2024 – Spring 2025)
• Graduate Student Government Senator – Purdue University (Spring 2022)

Conferences & Workshops

• KUMUNU 2025 - University of Missouri (Fall 2025)
• Macaulay2 Workshop: Madison 2025 – University of Wisconsin, Madison (Summer 2025)
• Séminaire de Mathématiques Supérieures (SMS) 2025: An Introduction to Recent Trends in Commutative Algebra – Fields Institute, University of Toronto (Summer 2025)
• Arkansas Spring Lecture Series: Linkage, Residual Intersections and Applications – University of Arkansas (Spring 2025)
• Algebra Across Time (Conference in Honor of Bill Heinzer) – Purdue University (Spring 2025)
• Conference on Commutative Algebra and its Interaction with Algebraic Geometry and Algebraic Combinatorics (UWE Fest) – University of Notre Dame (Fall 2024)
• Micro Teaching in Applied Calculus Workshop – Purdue University (Spring 2022)
• Getting Ready to Teach Your Own Class Workshop – Purdue University (Spring 2022)
• Matrix Analysis REU – College of William & Mary (Summer 2020)
• MAA MathFest Cincinnati – Cincinnati, Ohio (Summer 2019)

Awards & Memberships

• Graduate Summer Research Grant - Purdue University (Summer 2025)
• American Mathematical Society (AMS) Member (Fall 2022 - Present)
• Phi Betta Kappa Member (Spring 2021 - Present)
• Pi Mu Epsilon Member (Spring 2019 - Present)

Relevant Graduate Coursework

• Purdue University
  • Introduction to Differential Geometry and Topology (MA 562)
  • Introduction to Algebraic Topology (MA 572)
  • Introduction to Abstract Algebra (MA 553)
  • Functions of a Complex Variable 1 (MA 530)
  • Linear Algebra (MA 554)
  • Real Analysis and Measure Theory (MA 544)
  • Commutative Algebra (MA 557)
  • Algebraic Number Theory (MA 584)
  • Algebraic Geometry 1 (MA 665)
  • Algebraic Geometry 2 (MA 598)
  • Lie Algebras (MA 595)
  • Topics in Commutative Algebra (MA 650)
  • Positive Characteristic Methods (MA 690)
  • Complex Algebraic Geometry (MA 595)
• Kent State University
  • Abstract Algebra 1 (MA 61051)
  • Abstract Algebra 2 (MA 61052)
  • Functions of a Real Variable 1 (MA 62051)
  • Functions of a Real Variable 2 (MA 62052)

Programming

Macaulay2, LaTeX, R, C++