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) Slope detections and cyclic branched covers of satellite knots, in preparation, 2020.
- (with S. Boyer and C. Gordon) On the ADE Conjecture, in preparation.
- Some results of this project are discussed in the talk ( part 1; part 2 ) I gave in NCNGT Conference.

- Euler class of taut foliations and Dehn filling, 28 pgs, 2019.

- I gave a talk at the GaTO seminar based on the results of this paper. Here are the recording and 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

- Topology Seminar, University of Iowa, Iowa city, February 2020.
- Groups Semigroups and Topology Seminar, University of Nebraska, Lincoln, December 2019.
- Geometry and Topology Seminar, Washington University in St. Louis, October 2019.
- "Phenomenon of Codimension 1 in Topology in Low Dimensions", CRM50 Thematic Program in Low-Dimensional Topology, Montreal, September 2019.
- BIRS-CMO Conference "Ordered Groups and Rigidity in Dynamics and Topology", June 2019.
- Georgia Topology Conference, Athens, GA, May 2019.
- GEAR/GGD seminar, University of Illinois Urbana-Champaign, February 2019.
- Groups Semigroups and Topology Seminar, University of Nebraska, Lincoln, October 2018.
- Conference "Perspectives on bordered Heegaard Floer theory", May 2018.
- Topology Seminar, University of Texas at Austin, April 2018.
- Topology Seminar, University of Georgia joint with Georgia Tech, February 2018.
- American Mathematical Society Joint Meeting, San Diego, January 2018.

- 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.