As an international student who survived the examination-oriented 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.
- 2021 Fall
-
- MA 213 Calculus III
- Sec.005 and Sec.006
- Teaching Assistant
- Recitation Syllabus
- Office hours
- Tuesdays 10:00am-12:00pm(POT 722)
- Thursdays 10:00am-11:00am(Mathskeller)
- or by appointment
- Previously
-
- 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 eye-catching" in case you are wondering.)
- Publications and Preprints
-
- On realizations of the subalgebra A^\mathbb{R}(1) of the Real-motivic 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 R-motivic 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 2-local finite Real-motivic spectrum. The realization results are obtained using an Real-motivic analogue of the Toda realization theorem. We notice that each realization of A^\mathbb{R}(1) can be expressed as a cofiber of an Real-motivic v_1-self-map. The C_2-equivariant analogue of the above results then follows because of the Betti realization functor. We identify a relationship between the Steenrod operations on a C_2-equivariant space and the classical Steenrod operations on both its underlying space and its fixed-points. We find another application of the Real-motivic Toda realization theorem: we produce an Real-motivic, and consequently a C_2-equivariant, analogue of the Bhattacharya-Egger spectrum Z, which could be of independent interest.
-
- A Real-motivic v_1-self-map 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 real-motivic spectrum. In this paper, we show that one of the 1-periodic v_1−self-maps of Y can be lifted to a C_2 equivariant self-map as well as real-motivic. Further, the cofiber of the self-map of Y is a realization of the real-motivic Steenrod subalgebra. We also show that the C_2-equivariant self-map is nilpotent on the geometric fixed-points of Y.
-
- The v_1-Periodic 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_1-periodicity theorem in Ext over the complex-motivic Steenrod algebra. The element h_1 of Ext, which detects the homotopy class \eta in the motivic Adams spectral sequence, is non-nilpotent and therefore generates h_1-towers. Our result is that, apart from these h_1-towers, v_1-periodicity 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_1-Periodic Region in Complex-motivic 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 2-Groupoids (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
