As an international student who survived the examinationoriented education system in China, I am an expert in small strategies in math, and effectively managing my time under stress. Leading by my philosophy of learning math, my students will learn how
to maximize the effort under their limited study time.
 2022 Spring

 MA 213 Calculus III
 Sec.007 and Sec.011
 Teaching Assistant
 Recitation Syllabus
 Office hours
 Mondays 11:00am12:00pm(Mathskeller)
 Thursdays 10:00am12:00pm(POT 722)
 or by appointment
 Previously

 2021 Fall
 MA 213 Calculus III
 Sec.005 and Sec.006
 Teaching Assistant
 2021 Spring
 MA 214 Calculus IV
 Sec.005 and Sec.007
 Grader
 2020 Fall
 MA 322 Matrix Algebra
 Sec.002 and Sec.004
 Grader
 2020 Spring
 MA 322 Matrix Algebra
 Sec.003
 Primary Instructor
 2019 Fall
 MA 213 Calculus III
 Sec.001 and Sec.019
 Teaching Assistant
 2019 Spring
 MA 109 College Algebra
 Sec.007 and Sec.008
 Primary Instructor
 2018 Fall
 MA 201 Math for Elementary Teachers
 Sec.002 and Sec.003
 Primary Instructor
 2018 Spring
 MA 123 Elementary Calculus
 Sec.011  014
 Teaching Assistant
 2017 Fall
 MA 214 Calculus IV
 Sec.001 and Sec.002
 Grader
 2017 Spring
 MA 114 Calculus II
 Sec.002 and Sec.003
 Teaching Assistant
 2016 Fall
 MA 113 Calculus I
 Sec.023 and Sec.030
 Teaching Assistant
My primary research interest lies in equivariant and motivic homotopy theory. In particular, I am interested in the structures and the properties of the equivariant and motivic stable homotopy categories.
(The banner is saying "Your pals are eyecatching" in case you are wondering.)
 Publications and Preprints

 On realizations of the subalgebra A^\mathbb{R}(1) of the Realmotivic Steenrod Algebra

 Joint work with Prasit Bhattacharya and Bertrand Guillou. Submitted. Available on the ArXiv
We show that the finite subalgebra A^\mathbb{R}(1), generated by Sq^1 and Sq^2, of the Rmotivic Steenrod algebra can be given 128 different module structures. We also show that all of these modules can be realized as the cohomology of a 2local finite Realmotivic spectrum. The realization results are obtained using an Realmotivic analogue of the Toda realization theorem. We notice that each realization of A^\mathbb{R}(1) can be expressed as a cofiber of an Realmotivic v_1selfmap. The C_2equivariant analogue of the above results then follows because of the Betti realization functor. We identify a relationship between the Steenrod operations on a C_2equivariant space and the classical Steenrod operations on both its underlying space and its fixedpoints. We find another application of the Realmotivic Toda realization theorem: we produce an Realmotivic, and consequently a C_2equivariant, analogue of the BhattacharyaEgger spectrum Z, which could be of independent interest.

 A Realmotivic v_1selfmap of periodicity 1

 Joint work with Prasit Bhattacharya and Bertrand Guillou. Submitted. Available on the ArXiv
We consider a nontrivial action of C_2 on the type 1 spectrum Y. This can also be viewed as the complex points of a finite realmotivic spectrum. In this paper, we show that one of the 1periodic v_1−selfmaps of Y can be lifted to a C_2 equivariant selfmap as well as realmotivic. Further, the cofiber of the selfmap of Y is a realization of the realmotivic Steenrod subalgebra. We also show that the C_2equivariant selfmap is nilpotent on the geometric fixedpoints of Y.

 The v_1Periodic Region in the cohomology of the complex motivic Steenrod algebra

 New York J. Math. 26 (2020) 13551374. Available on the ArXiv
We establish a v_1periodicity theorem in Ext over the complexmotivic Steenrod algebra. The element h_1 of Ext, which detects the homotopy class \eta in the motivic Adams spectral sequence, is nonnilpotent and therefore generates h_1towers. Our result is that, apart from these h_1towers, v_1periodicity behaves as it does classically.
 Talk Slides and Notes

 Draft note for evening section: Introduction to infinity category (IWoAT summer school 2019)
 Note for my talk equivariant sphere, Freudenthal suspension theorem and the category of naive spectra (IWoAT summer school 2019)
 Slides for my talk v_1Periodic Region in Complexmotivic Ext (GSTGC 19 Spring UIUC and GROOTS 20 Summer)
 A beginner's note for infinity category (in process)
 Trying to understand formula for homotopy pullback for 2Groupoids (in process)
 Collaborators

 including ongoing works
 Prasit Bhattacharya
 Eva Belmont
 Peter Bonventre
 Bert Guillou
 Hana Jia Kong
 Yuqing Shi
 Mingcong Zeng
I am a PHD student at University of Kentucky since 2016 Fall, under the supervising of Dr. Bert Guillou. I benefit from frequent conversations with Dr. Nat Stapleton. I am on the job market 2021 Fall.
My research interest lies in equivariant and motivic stable homotopy theory.
My name in Chinese: 李(Li) 昂(Ang)
Useful links