• Hi!
    I'm Albert

    ▶ The background photo was taken at the Astronomical Observatory in Huairou, Beijing, 2017.

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  • I am
    a Homotopist

    "How about doing something equivariantly?"

    ▶ The background photo was taken in Chicago, 2018.

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About

Who Am I?

Hi! I'm Jinghui (Albert) Yang (杨景辉). You may pronounce my name as "Jeeng-whee."

I’m a second-year PhD student in mathematics at the University of Pennsylvania, advised by Mona Merling. Email: yangjh@sas.upenn.edu

My office is located in room 3C15 of the David Rittenhouse Lab.

I received my B.S. in math from the University of Illinois, Urbana-Champaign, May 2021, and my M.S. in math from the University of Oxford, Jul 2022 (Thesis: Homotopy Groups of Spheres in Homotopy Type Theory).

Here is my CV (Last modified: Sep 2024).

I have two parallel areas of interest: one in homotopy theory and the other in algebraic K-theory and topological cyclic homology. Specifically, I am interested in computations in algebraic K-theory via topological cyclic homology, as well as in computations within chromatic/equivariant/motivic (stable) homotopy theory.



I was the co-organizer of the seminar on Homological Mirror Symmetry in Oxford, Jun-Sep 2022. See here.

Watch this funny video about Klein bottle made by myself!

Eastern Standard Time (EST)
Education

Education

Ph.D. in Mathematics, University of Pennsylvania, Aug 2023-present.

Advisor: Mona Merling.

Penn Logo

M.S. in Mathematics, University of Oxford, Jul 2022.

Thesis: Homotopy Groups of Spheres in Homotopy Type Theory.

Oxford Logo

Research Experience for Undergraduates, University of Chicago, Jun 2020 - Oct 2020.

Advisors: Peter May, Hana Jia Kong.

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B.S. in Mathematics, University of Illinois, Urbana-Champaign, Aug 2018 - May 2021.

I was awarded the Most Outstanding Student in Mathematics Major, Mar 2021. More Details...

UIUC Logo

I received my high school diploma from Hefei No.8 High School, Anhui, China. There, I spent three years and met my girlfriend.

Photo of my high school 1 Photo of my high school 2
Research

Papers and Preprints

    To appear!

Past Events

Talks and Notes

Talks

  • Topological cyclic homology of local fields, Nov 2024, at eCHT Kan seminar. Slides here.
  • Intro to equivariant homotopy theory, Sep 2024, at AMTRaK. Notes here. Note we use the spectral Mackey functor approach.
  • The cyclotomic trace and Dundas-Goodwillie-McCarthy theorem, Aug 2024. Talbot 2024, where you can find the typed note. Handwritten note. I also wrote the note for the conclusion part (the last talk).
  • Goerss-Hopkins obstruction theory, Jun 2024, at Penn. Notes here.
  • From Exotic Spheres to Stable Homotopy Theory, Feb 2024, at Penn. Slides here.
  • The Trace Method in Algebraic K-theory, Nov 2023. BUGCAT conference, Binghamton University. Slides here.


Course Notes

Teaching Info

Teaching

  • TA for Math 6000: Topology and Geometric Analysis, Fall 2024. Taught by Prof. Herman Gluck.
My Specialty

My Skills

Before transferring to the math major, I was a student in CS major. Here are some of the programming languages I can master with a corresponding skill level visualized in the progress bar.

LaTeX

90%

Java

85%

HTML5

85%

Python

90%

C

80%

MATLAB

75%

Quick Links

Art Gallery

Astrophotography

I am a big fan of astronomy. Previously, I was the president of the astronomy club at the university. Below are some photographs (taken by members) of the observation of the Gemini Meteor Shower in Huairou, Beijing, organized by me in Dec 2017.

Orion

Taken by Yang An

Overview

Taken by Yifei Li, Chen Chen, Daixi Jia

Overview

Taken by Dan Yang

Orion

Taken by Chen Huang

Meteor Shower

Taken by Ziyang Chen

Overview

Taken by Wenxin Pan, Tianren Luo