Benjamin B. McMillan

Office: B259, Institute for Basic Science, Center for Complex Geometry, Daejeon, South Korea
Email: mcmillan@ibs.re.kr
CV: here

I am Benjamin B. McMillan, a Senior Researcher at the Center for Complex Geometry, in Daejeon, South Korea. My research is in differential geometry, particularly the geometric structure of differential equations. This includes exterior differential systems, Cartan's method of equivalence for G-structures and higher-order frame bundles, characteristic cohomology (conservation laws, the variational bicomplex), and secondary characteristic classes. I'm a big fan of most geometries, but some of my favorite are foliations, complex, and contact geometry.

When not working, I like to rock climb and go on bike rides with my family, or work on coding projects.

Publications

• B. McMillan, Indecomposable quasiconformal maps of manifolds (submitted) [arXiv]
• B. McMillan, Foliation surgeries and the concordance groups of foliated spheres (submitted) [arXiv]
• B. McMillan, A characterization of Pfaffian embeddings from (2,3,5)- into flat (4,7)-geometries (submitted) [arXiv]
• L. MacDonald, B. McMillan, Chern–Weil theory for singular Haefliger foliations, Differential Geom. Appl. (to appear) [arXiv]
• F. Costanza, M. Eastwood, T. Leistner, B. McMillan, A Calabi operator for Riemannian locally symmetric spaces, Amer. J. Math. (2026) [DOI] [arXiv]
• F. Costanza, M. Eastwood, T. Leistner, B. McMillan, The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces, Asian J. Math. (2025) [DOI] [arXiv]
• B. McMillan, Geometry and conservation laws for a class of second-order parabolic equations II: conservation laws, SIGMA Symmetry Integrability Geom. Methods Appl. (2021) [DOI] [arXiv]
• B. McMillan, Geometry and conservation laws for a class of second-order parabolic equations I: geometry, J. Geom. Phys. (2020) [DOI] [arXiv]
• C. Y. Ku, B. McMillan, Independent sets of maximal size in tensor powers of vertex transitive graphs, J. Graph Theory (2009) [DOI]