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. Hugo en-us https://pages.uoregon.edu/lipshitz/teach/courses/index.html Mon, 01 Jan 0001 00:00:00 +0000 https://pages.uoregon.edu/lipshitz/teach/courses/index.html Courses Taught at the University of Oregon Spring 2025: Math 251 (Calculus I). Math 307 (Introduction to Proofs). Spring 2024: Math 636 (Algebraic Topology). Math 692 (Low-Dimensional Topology). Winter 2024: Math 635 (Algebraic Topology). Fall 2023: Math 281 (Several Variable Calculus 1). Spring 2022: Math 282 (Several Variable Calculus 2). Math 692 (Readings in Topology) Fall 2021: Math 431 / 531 (Introduction to Topology). Spring 2021: Math 636 (Algebraic Topology). Winter 2021: Math 635 (Algebraic Topology). Fall 2020: Math 241 (Calculus for Business and Social Science). Webpage on Canvas. Spring 2020: Math 342 (Elementary Linear Algebra 2). Winter 2020: Math 341 (Elementary Linear Algebra 1). Math 607 (Modern Invariants of Knots). Spring 2019: Math 636 (Algebraic Topology). Winter 2019: Math 635 (Algebraic Topology). Fall 2018: Math 634 (Algebraic Topology). Reading seminar on Floer homology. Spring 2018: Math 342 (Linear Algebra). Fall 2017: Math 251 (Calculus I). Math 690 (Characteristic Classes). Winter 2017: Math 432 / 532 (Introduction to [Differential] Topology). Math 607 (Floer Homology). Fall 2016: Math 431 / 531 (Introduction to Topology). Spring 2016: Math 342 (Linear Algebra). Math 692 (Readings in Topology). Fall 2015: Math 341 (Linear Algebra). For information about courses I have taught in the past, see my previous webpage at Columbia. https://pages.uoregon.edu/lipshitz/teach/students/index.html Mon, 01 Jan 0001 00:00:00 +0000 https://pages.uoregon.edu/lipshitz/teach/students/index.html Ph.D. Students Former (By graduation year. Information believed to be current as of August 3, 2026.) Ina Petkova. Ph.D., Columbia University, 2012. Co-advised with P. Ozsváth and D. Thurston Thesis: Bordered Heegaard Floer homology, Satellites, and Decategorification. Currently an Associate Professor at Dartmouth University. Kristen Hendricks. Ph.D., Columbia University, 2013. Co-advised with P. Ozsváth. Thesis: Localization and Heegaard Floer Homology. Currently a Professor at Rutgers University. Jonathan Hales. Ph.D., Stony Brook University, 2013. Co-advised with O. Plamenevskaya. Thesis: Exotic Four-Manifolds, Corks, and Heegaard Floer Homology. Currently a Software Engineer working at PostEra.ai. Corrin Clarkson. Ph.D., Columbia University, 2014. Thesis: Three Manifold Mutations Detected by Heegaard Floer Homology. Currently the Director of General Education Math Modeling at Indiana University. Jonathan Hanselman. Ph.D., Columbia University, 2014. Thesis: Bordered Heegaard Floer homology and graph manifolds. Currently an Assistant Professor at Princeton University. Mike Wong. Ph.D., Columbia University, 2017. Co-advised with P. Ozsváth. Thesis: Unoriented skein relations for grid homology and tangle Floer homology. Currently an Assistant Professor at the University of Ottawa. James Cornish. Ph.D., Columbia University, 2018. Thesis: Growth Rate of 3-Manifold Homologies under Branched Covers. Currently on the job market. Jeffrey Musyt. Ph.D., University of Oregon, 2019. Thesis: Equivariant Khovanov homotopy and periodic links. Currently an Associate Professor at Slippery Rock University. Keegan Boyle. Ph.D., University of Oregon, 2019. Thesis: On symmetries of knots and their surgeries. Currently an Assistant Professor at New Mexico State University. Michael Gartner. Ph.D., University of Oregon, 2019. Thesis: Naturality in Heegaard Floer homology. Currently a data scientist at AI2. Gabriel Montes de Oca. Ph.D., University of Oregon, 2020. Thesis: An odd analog of Plamenevskaya’s invariant of transverse knots. Currently on the job market. Champ Davis. Ph.D., University of Oregon, 2023. Thesis: Structures and computations in annular Khovanov homology. Currently a lecturer at CU Boulder. Gary Guth. Ph.D., University of Oregon, 2023. Thesis: Ribbons, satellites, and exotic phenomena in Heegaard Floer homology. Currently a Simons postdoc at Stanford University. Jesse Cohen. PhD., University of Oregon, 2023. Thesis: Composition and cobordism maps. Currently a postdoc at Michigan State. Holt Bodish. Ph.D., University of Oregon, 2024. Thesis: Reducible Dehn surgeries, ribbon concordance, and satellite knots. Currently a postdoc at UIUC. Neda Bagherifard (University of Oregon). Ph.D., University of Oregon, 2025. Thesis: An excision theorem in Heegaard Floer theory. Currently a postdoc at GeorgiaTech. Siavash Jafarizadeh (University of Oregon). Ph.D., University of Oregon, 2025. Thesis: Obstruction to equivariant ribbon concordance from equivariant Khovanov homology. Current Hanming Liu (University of Oregon). Master’s Students Jacqueline Stone, M.S., University of North Carolina, 2013. Master’s project: Algebraic Topology from the Perspective of Morse Homology Currently an Adjunct Mathematics Instructor at New Jersey Institute of Technology. Undergraduate Students Senior theses Edward Trefts, “Knot Floer Homology and the Genera of Torus Knots.” Senior thesis, Columbia University, April 2008. Emily Clader, “Homotopy Theory of Finite Topological Spaces.” Senior thesis, Columbia University, April 2009. A condensed version of this paper is published as: Emily Clader, “Inverse limits of finite topological spaces.” Homology, Homotopy and Applications, 11 (2009), no. 2, 223–227. Atanas Atanasov, “Knots in S3 and Bordered Heegaard Floer Homology.” Senior thesis, Columbia University, April 2010. Kyler Siegel, “A Geometric Proof of a Faithful Linear-Categorical Surface Mapping Class Group Action.” arXiv:1108.3676. Senior thesis, Columbia University, August 2011. Nathaniel Schieber, “A Computational Approach to Tangles.” Senior thesis, University of Oregon, June 2018. Summer research projects Columbia Undergraduate Mathematics Research Program, 2007. These projects were assisted by Thomas Peters. https://pages.uoregon.edu/lipshitz/teach/minerva/index.html Mon, 01 Jan 0001 00:00:00 +0000 https://pages.uoregon.edu/lipshitz/teach/minerva/index.html Surfaces and the Fourth Dimension Here is a tentative plan for the Minerva Mini-Course at Princeton in Fall 2025. This page will be updated as the plan evolves. The goal of the lectures is to introduce some recent techniques in low-dimensional topology, and some famous old theorems and less famous new ones they can be used to prove.