Department of Mathematics

University of Nebraska Omaha

6001 Dodge Street, Omaha, NE 68182-0243

Office: DSC 223 | Phone: 402.554.4867

Email: yinghu@unomaha.edu

- Low-dimensional topology

- (with S. Boyer and C. Gordon) On the ADE Conjecture, in preparation, 2021.
- (with S. Boyer and C. Gordon) Slope detection and toroidal 3-manifolds, 60 pgs, 2021.
- Here is the slide of the talk I gave at the CMS summer meeting. Some of the results in the paper are discussed there.
- (with J. Baldwin and S. Sivek) Khovanov homology and the cinquefoil, 21 pgs, 2021.
- Euler class of taut foliations and Dehn filling, 25 pgs, 2019.

- I gave a talk at the GaTO seminar based on the results of this paper. Here is the note of my talk.
- Given a rational homology solid torus X whose longitude is null-homologous, program slope.c determines whether a taut foliation on X(p/q) that is transverse to the core of the filling solid torus can have zero Euler class. In the case that it is possible for the Euler class to vanish, the required values of the relative Euler class are also calculated. To run the program, type gcc slope.c -o slope; ./slope; in the terminal.

- (with S. Boyer) Taut foliations in branched cyclic covers and left-orderable groups, Trans. Amer. Math. Soc. 372 (2019), no. 11, 7921 - 7957. Journal link
- Left-orderability and cyclic branched coverings, Algebr. Geom. Topol. 15 (2015), no. 1, 399-413. Journal link

- I am co-organizing the session "Developments in Knot Theory and Low-dimensional Topology" with Mark Brittenham, Margaret Doig and Thomas Kindred at the Fall Central Section Meeting of the AMS, Creighton University, October 9-10, 2021.
- I am co-organizing the session "Foliations, flows, and dynamics in 3-manifolds" with Michael Landry at the NCNGT Conference, June 14-25, 2021.
- I will speak at the session “Low Dimensional Topology” at CMS Summer Meeting, June 2021.
- Geometry and Topology Seminar, Washington University in St. Louis, April 2021.
- Geometry and Topology Online Seminar, Warwick, UK, December 2020.

- Math 1950 Calculus I (Fall 2018 - 2020)
- Math 1960 Calculus II (Spring 2019 - 2020)
- Math 3230/8235 Introduction to Analysis (Fall 2020)

This is an online course supported by UNO's Online Course Development Grant. - Math 4050/8056 Linear Algebra (Spring 2020)

Course website.