https://pages.uoregon.edu/lipshitz/index.html I am a Professor of Mathematics at the University of Oregon. My research focuses on low-dimensional topology and symplectic geometry. Like all tenure-line faculty in mathematics, I teach courses at all levels, depending on departmental need. I am on leave for the 2025-2026 academic year, as the Minerva Visitor in the Mathematics Department at Princeton. Research A list of my papers and preprints. Computer code used in my papers. A list of recent and upcoming talks. Teaching Minerva Course, Fall 2025 Recent courses Spring 2025: Math 251: Calculus 1 Spring 2025: Math 307: Introduction to Proofs Courses taught previously Research students Service Editorial work If you would like me to handle your paper, consider submitting it to Quantum Topology, where I am an editor, or Geometry & Topology, where I am a managing editor. If you have a leadership role at a journal, allow me to recommend MSP’s EditFlow, which is less annoying than other editorial management software I have used. Hugo en-us https://pages.uoregon.edu/lipshitz/research/index.html Mon, 01 Jan 0001 00:00:00 +0000 https://pages.uoregon.edu/lipshitz/research/index.html I work on topology, the large-scale study of shapes. If you are not a mathematician, these pages are unlikely to have much meaning to you, but others have written many nice introductions to topology, including: Colin C. Adams, The Knot Book George K. Francis, A Topological Picture Book Jeffrey R. Weeks, The Shape of Space Overview I work on low-dimensional topology, using tools from partial differential equations (J-holomorphic curves), homological algebra (Khovanov homology), and homotopy theory. Much of my work is focused on developing these tools rather than applying them to specific questions in low-dimensional topology. Most of my work can be divided into a few themes: https://pages.uoregon.edu/lipshitz/teach/index.html Mon, 01 Jan 0001 00:00:00 +0000 https://pages.uoregon.edu/lipshitz/teach/index.html I am on leave for the 2025-2026 academic year, so not teaching classes. A list of my past course webpages is here. A list of my undergraduate and graduate mentees is here. In Fall 2025 I am giving a series of lectures as the Minerva Visitor at Princeton. https://pages.uoregon.edu/lipshitz/projects/index.html Mon, 01 Jan 0001 00:00:00 +0000 https://pages.uoregon.edu/lipshitz/projects/index.html Documentation site for bfh_python Bordered Heegaard Floer homology is an extension of Ozsváth-Szabó’s Heegaard Floer homology to 3-manifolds with boundary. It gives an algorithm for computing Heegaard Floer homology, by cutting a manifold into pieces. In this thesis, Bohua Zhan gave a significant refinement of that algorithm. He implemented both in a Python package, bfh_python (available as a PIP package here). His implementation is fast enough to often be useful in practice.