Office: JWB 315

Office Phone: 801-581-6838

I am a Research Assistant Professor at University of Utah. Starting in Fall 2018, I will be an Assistant Professor at Purdue University. I obtained my Ph.D in May 2014 at the University of Michigan under the direction of Melvin Hochster. My research interests are in commutative algebra and algebraic geometry.

- Cohomologically full rings (with Hailong Dao and Alessandro De Stefani), in preparation.

- Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers (with Karl Schwede), submitted.

- Big Cohen-Macaulay algebras and the vanishing conjecture for maps of Tor in mixed characteristic (with Raymond Heitmann), submitted.

- Lim Cohen-Macaulay sequences of modules (with Bhargav Bhatt and Melvin Hochster), in preparation.

- D-module and F-module length of local cohomology modules (with Mordechai Katzman, Ilya Smirnov and Wenliang Zhang),
*Trans. Amer. Math. Soc.*, to appear.

- Lech's conjecture in dimension three, submitted.

- F-singularities under generic linkage (with Janet Page, Rebecca Rebhuhn-Glanz, William Taylor and Wenliang Zhang), submitted.

- Frobenius actions on local cohomology modules and deformation (with Pham Hung Quy),
*Nagoya Math. J.*, to appear.

- Local cohomology of Du Bois singularities and applications to families (with Karl Schwede and Kazuma Shimomoto),
*Compos. Math.*, to appear.

- The dualizing complex of F-injective and Du Bois singularities (with Bhargav Bhatt and Karl Schwede), submitted.

- The vanishing conjecture for maps of Tor and derived splinters,
*J. Eur. Math. Soc.*, to appear.

- F-injectivity and Buchsbaum singularities,
*Math. Ann.*362 (2015), no. 1-2, 25-42.

- Eulerian graded D-modules (with Wenliang Zhang),
*Math. Res. Lett.*21 (2014), no. 1, 149-167.

- A sufficient condition for F-purity,
*J. Pure Appl. Algebra*218 (2014), 1179-1183.

- The category of F-modules has finite global dimension,
*J. Algebra*402 (2014), 1-20.

- Finiteness properties of local cohomology for F-pure local rings,
*Int. Math. Res. Not.*(2014), no. 20, 5489-5509.

- Lech's conjecture, Oberwolfach report.

- The vanishing conjecture for maps of Tor, splinters, and derived splinters, Extended lecture notes for UIC homological conjectures workshop.

- Math 2210 Calculus 3 (Fall 2017, Spring 2016).
- Math 2200 Introduction to Discrete Mathematics (Spring 2017, Fall 2016).
- Math 2250 Differential Equations and Linear Algebra (Fall 2015).

- Math 265 Linear Algebra (Spring 2015, Fall 2014).

- TA for the course on Fibonacci numbers for Michigan Math and Science Scholars (Summer 2014).
- TA for Math 215 Calculus 3 (Spring 2014, Fall 2013, Fall 2012, Spring 2012).

- Math 116 Calculus 2 (Spring 2011).

- Math 115 Calculus 1 (Spring 2010, Fall 2009).

- Math 105 Data, Functions & Graphs (Spring 2009, Fall 2008).

- Ph.D's Life, with Jingchen Wu, English Crosstalk.

- Go Back to The Past, with Qi Gong, Chinese Crosstalk.