*Assistant Professor *
College of Science, Department of Mathematics
Research Group

I'm an assistant professor at Southern University of Science and Technology. From 2013 to 2016, I was a visiting assistant professor at Northwestern University. I received my Ph.D. from the University of Minnesota in 2013. My advisor was Tyler Lawson.

### Personal Profile

## Research

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. More generally, I study moduli spaces in various aspects, including geometric, arithmetic, computational, combinatorial, and categorical. I am also interested in applying topology to physics and data science, such as signal processing through persistent homology.

## Teaching

Spring 2021: MAT8021 (Algebraic Topology);

Fall 2020: MA323 (Topology);

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).

## Publications Read More

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.