ZHU Yifei

Assistant Professor

- Brief Biography
- Research
- Teaching
- Published Works

**Educational background:**

◆ Ph.D. in Mathematics, University of Minnesota, 2013.

◆ B.S. in Mathematics, Peking University, 2007.

**Working Experience：**

◆ February 2020 to present, Tenure-track assistant professor, Southern University of Science and Technology

◆ December 2016 to January 2020, Visiting assistant professor, Southern University of Science and Technology

◆ October 2016 to January 2017, Visiting scholar, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

◆ September 2013 to August 2016, Visiting assistant professor, Northwestern University

**Publication List:**

◆ Norm coherence for descent of level structures on formal deformations, J. Pure Appl. Algebra 224 (2020), 106382, 35 pp.

◆ Morava E-homology of Bousfield–Kuhn functors on odd-dimensional spheres, Proc. Amer. Math. Soc. 146 (2018), 449–458.

◆ Semistable models for modular curves and power operations for Morava E-theories of height 2, Adv. Math. 354 (2019), 106758, 29 pp.

◆ The Hecke algebra action and the Rezk logarithm on Morava E-theory of height 2, Trans. Amer. Math. Soc. 373 (2020), 3733–3764.

◆ The power operation structure on Morava E-theory of height 2 at the prime 3, Algebr. Geom. Topol. 14 (2014), 953–977.

My research interests are in algebraic topology and related fields, particularly in its connections to algebraic geometry and number theory via objects such as formal groups, elliptic curves, and modular forms. A central theme in my research is elliptic cohomology and power operations, which combines the classical methodology of cohomological computations in algebraic topology with modern inputs from arithmetic moduli of elliptic curves in number theory. I am also interested in applying topology to physics and data science, such as signal processing through persistent homology.

Spring 2020: MAT8024 (Differentiable Manifolds);

Fall 2019: MA323 (Topology);

Spring 2019: MA327 (Differential Geometry), MAT8010 (Combinatorics);

Fall 2018: MA323 (Topology);

Spring 2018: MA102a (Mathematical Analysis II);

Fall 2017: MA101a (Mathematical Analysis I), MA301 (Functions of Real Variables);

Spring 2017: MA101a (Mathematical Analysis I).

Norm coherence for descent of level structures on formal deformations, J. Pure Appl. Algebra 224 (2020), 106382, 35 pp.

Morava E-homology of Bousfield–Kuhn functors on odd-dimensional spheres, Proc. Amer. Math. Soc. 146 (2018), 449–458.

Semistable models for modular curves and power operations for Morava E-theories of height 2, Adv. Math. 354 (2019), 106758, 29 pp.

The Hecke algebra action and the Rezk logarithm on Morava E-theory of height 2, Trans. Amer. Math. Soc. 373 (2020), 3733–3764.

The power operation structure on Morava E-theory of height 2 at the prime 3, Algebr. Geom. Topol. 14 (2014), 953–977.

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