Yiwei (Wayne) Ge
I received my Ph.D. in Mathematics from Louisiana State University in May 2026, where I was supervised by James Oxley. My research lies in combinatorics, primarily graph theory and matroid theory, with an emphasis on structural and extremal problems.
You count balls in a box, and you either have the right number or you haven’t. -- Gian-Carlo Rota
Publications
Selected Papers
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Degeneracy: From Graphs to Matroids
(with A. Bickle, J. D. Douthitt, and J. Singh) Submitted.
arXiv -
The Kővari-Sós-Turán Theorem for GF(q)-representable matroids
Submitted.
arXiv -
Unavoidable flats in connected regular matroids
Submitted.
arXiv -
The connected binary matroids with a pair of elements in no non-spanning circuits
(with J. Oxley and J. Singh) Submitted.
arXiv -
Super-minimally 3-connected matroids
(with J. Oxley) Submitted.
arXiv -
Reconstruction of C4-free graphs from closed neighborhoods
(with S. Borgwardt, M. Carr, C. Chen, S. G. Hartke, Y. Huang, and A. Moon) Submitted.
arXiv -
Super-minimally 3-connected graphs
Submitted.
arXiv -
Rainbow triangles and the Erdős-Hajnal problem in projective geometries
(with C. Chun, J. D. Douthitt, T. Huynh, M. E. Kroeker, and P. Nelson) Electron. J. Combin., to appear.
arXiv -
Unavoidable cycle-contraction minors of large 2-connected graphs
(with J. Oxley) SIAM J. Discrete Math., 2026.
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On the oriented diameter of near planar triangulations
(with X. Liu and Z. Wang) Discrete Math., 2025.
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The algebraic structure of hyperbolic graph braid groups
(with B. Appiah, P. Dani, C. Hudson, S. Jain, M. Lemoine, J. Murphy, J. Murray, A. Pandikkadan, K. Schreve, and H. Vo) Internat. J. Algebra Comput., 2025.
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Extremal Connectivity in Graphs and Matroids
Ph.D. dissertation, Louisiana State University.
LSU Repository
Talks
Selected Presentations
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Extremal Connectivity in Graphs and Matroids
Ph.D. dissertation defense, LSU.
Slides -
Super-minimally 3-connected graphs
LSU Combinatorics Seminar.
Slides -
Unavoidable cycle-contraction minors of large 2-connected graphs
AMS Southeastern Sectional Meeting, Clemson, SC.
Slides -
Unavoidable cycle-contraction minors of large 2-connected graphs
LSU Combinatorics Seminar.
Slides -
Oriented diameter of near planar triangulations
CombinaTexas, College Station, TX.
Slides -
Reconstruction of C4-free graphs from closed neighborhoods
LSU Combinatorics Seminar.
Slides
Teaching
Teaching
Instructor of record, Louisiana State University.
Math 1550
Differential and Integral Calculus
Fall 2023, Fall 2025
Math 1020/1021
Corequisite Support and College Algebra
Spring 2024, Fall 2024, Spring 2025
Math 2065
Elementary Differential Equations
Summer 2023
Math 1021
College Algebra
Fall 2022
Math 1552
Analytic Geometry and Calculus II
Summer 2022
Contact
Contact
For full details, see my CV.