Zhen Huan (郇真)
Center for Mathematical Sciences, (the Wuhan math center)
Huazhong University of Science and Technology
1037 Luoyu Road,
Wuhan, China
Email: 2019010151(at)hust(dot)edu(dot)cn
Personal information
Currently I’m an associate professor at Center for Mathematical Sciences at Huazhong University of Science and Technology. I received my PhD from the University of Illinois at UrbanaChampaign. My advisor was Charles Rezk. My dissertation defense was on May 5th, 2016.
I completed my BS in mathematics at Peking University.
Research
My research interests are in algebraic topology, algebraic geometry and mathematical physics.
Here is my nLab page.
Publication
QuasiElliptic Cohomology I.. Advances in Mathematics. Volume 337, 15 October 2018, Pages 107138.
QuasiElliptic Cohomology and its Power Operations. Journal of Homotopy and Related Structures, 13(4), 715767.
Preprint
Zhen Huan, QuasiElliptic Cohomology and its Spectrum.
Zhen Huan, Universal Finite Subgroup of Tate Curve.
Zhen Huan, QuasiTheories.
Zhen Huan, Quasitheories and their equivariant orthogonal spectra.
Zhen Huan, Almost Global Homotopy Theory.
Zhen Huan and Matthew Spong, Twisted Quasielliptic cohomology and twisted equivariant elliptic cohomology.
Zhen Huan and Nathaniel Stapleton, Level structures on pdivisible groups from the Morava Etheory of abelian groups.
Zhen Huan, 2Representations of Lie 2groups and 2Vector Bundles.
Zhen Huan and Matthew Young, Twisted Real Quasielliptic cohomology.
Unfinished Projects
Real HopkinsKuhnRavenel Character theory.
Geometric Power operation of twisted quasielliptic cohomology.
Service
Coorganizer of the conference Workshop on Loop space and Higher category at Huazhong University of Science and Technology, December 23, 2022.
Coorganizer of the Joint undergraduate Algebraic Geometry seminar with Hao Sun, the fall semester 2022.
Coorganizer of the conference MidSouth Algebraic Topology and Geometry Workshop at Huazhong University of Science and Technology, July 1821, 2022.
Organizer of the Algebraic Geometry and Topology Seminar at the Wuhan math center, 2019present.
Reviewer for MathSciNet, zbMATH, 2019present.
Coorganizer of the conference International Workshop on Algebraic Topology at Southern University of Science and Technology, China, June 69, 2018.
Talks and Presentations
Conference “Arithmetic and Topology”, Southern University of Science and Technology, Twisted Real Quasielliptic cohomology, December 16, 2022.
Center for Quantum and Topological Systems, New York University in Abu Dhabi, Twisted Real Quasielliptic cohomology, November 9, 2022.
MoscowBeijing Topology Seminar, organized by Prof. V.O. Manturov, Twisted Real Quasielliptic cohomology and its Power operation, June 15 2022.
Northeast Normal University mini lecture series, Spectral Algebraic Geometry, November 11 and 18, 2021.
Northeast Normal University mini lecture series, 2Representations of Lie 2groups and 2Vector Bundles, October 14, 21, 28, and November 4, 2021.
Huazhong University of Science and Technology, 2Representations of Lie 2groups and 2Vector Bundles, June 28, 2021.
GeorgAugustUniversitat Gottingen Seminar, 2Representations of Lie 2groups and 2Vector Bundles, May 11, 2021.
University of Notre Dame Topology Seminar, 2Representations of Lie 2groups and 2Vector Bundles, April 6, 2021.
University of Regensburg Topology Seminar, Level Structures and Morava Etheory, January 8, 2021.
Conference “Elliptic cohomology and Physics”, Perimeter Institute for Theoretical Physics, Quasielliptic cohomology theory and the twisted, twisted Real theories, May 28, 2020.
University of Copenhagen, Twisted Quasielliptic cohomology, May 4, 2020.
AMS Special Session on Geometric Representation Theory and Equivariant Elliptic Cohomology, Joint Mathematics Meetings, Level Structure and Morava Etheory, January 16, 2020, Denver, Colorado, USA.
University of Science and Technology of China, Colloquium in Mathematics, Knot Theory: a Mathematical Art, December 25, 2019.
University of Science and Technology of China, Colloquium in Mathematics, Level Structure and Morava Etheory, December 23, 2019.
Young Mathematician Forum at Beijing International Center for Mathematical Research, Level Structure and Morava Etheory, December 4, 2019.
Workshop and miniconference Elliptic Cohomology Days, University of Illinois at UrbanaChampaign, Power operation in Tate Ktheory, June 12, 2019.
National University of Singapore Topology & Geometry Seminar, Quasielliptic cohomology, March 20, 2019.
Center for Mathematical Sciences, Huazhong University of Science and Technology, Quasielliptic cohomology, December 23, 2018.
The University of Melbourne mini lecture series, Almost global homotopy theory, November 14 and 16, 2018.
The University of Melbourne mini lecture series, Quasielliptic cohomology, November 7 and 9, 2018.
Fudan University, Almost global homotopy theory, October 10, 2018.
Center for Mathematical Sciences, Huazhong University of Science and Technology, Almost global homotopy theory, September 25, 2018.
Poster Session, Homotopy Theory Summer Berlin 2018, Quasielliptic cohomology, June 20 and 26, 2018.
GeorgAugustUniversitat Gottingen Seminar, Quasielliptic cohomology, June 6, 2018.
The University of DuisburgEssen Research Seminar Arithmetic Geometry, Quasielliptic cohomology, May 17, 2018.
Chinese Academy of Sciences Topology Seminar, Quasielliptic cohomology, March 29, 2018.
Sun Yatsen University, Zhuhai Campus, Quasielliptic cohomology, January 12, 2018.
Peking University Geometry and Topology Seminar, Quasielliptic cohomology, November 30, 2017.
South China Normal University Topology Seminar, Quasielliptic cohomology, November 16, 2017.
Southern University of Science and Technology Topology Seminar, Quasielliptic cohomology, November 14, 2017.
Poster Session, Schubert Calculus International Festival, Quasielliptic cohomology, November 9, 2017.
AMS Special Session on Homotopy Theory, Quasielliptic cohomology, November 5, 2017.
Nankai University Algebraic Topology Seminar, Quasielliptic cohomology, October 10, 2017.
Parallel Session, Conference “Homotopy theory: tools and applications”, University of Illinois at UrbanaChampaign, Quasielliptic Cohomology, July 17, 2017
Informal Session, Conference on invertible objects and duality in derived algebraic geometry and homotopy theory, the University of Regensburg, Germany. Quasielliptic Cohomology, April 3, 2017.
AMS Special Session on Homotopy Theory, Bloomington, IN. Quasielliptic Cohomology, April 1, 2017.
AMS Special Session on Topology and Arithmetic, Minneapolis, MN. Quasielliptic Cohomology, October 30, 2016.
University of Chicago Algebraic Topology Seminar, Quasielliptic cohomology, November 25, 2014.
Northwestern University Topology Seminar, Quasielliptic cohomology, November 24, 2014.
Teaching
 Huazhong University of Science and Technology
2023 Spring: Discussion Session for Linear Algebra and Analytic Geometry.
2022 Fall: Discussion Session for Linear Algebra and Analytic Geometry.
2022 Spring: Calculus II.
2021 Fall: Linear Algebra.
2019 Fall: Introduction to Algebraic Topology.
 University of Illinois at UrbanaChampaign
2016 Summer: teaching assistant for Netmath MATH 231Calculus II.
2016 Spring: the main instructor of MATH 124Finite Mathematics.
2015 Fall: the main instructor of MATH 124Finite Mathematics.
2015 Spring: the main instructor of MATH 124Finite Mathematics.
2013 Fall: the main instructor of MATH 119Ideas in Geometry.
2016 Fall: led discussion session for MATH 221Calculus I.
2012 Fall: led discussion session for MATH 231Calculus II.
2012 Spring: led discussion session for MATH 234Calculus for Business I.
2011 Fall: led discussion session for MATH 231Calculus II.
2012 Spring, 2013 Spring, 2014 Spring, 2014 Summer, 2014 Fall, 2015 Summer, 2016 Summer, 2017 Spring: I was a research assistant at University of Illinois at UrbanaChampaign.
Students
I supervised two undergraduates of Huazhong University of Science and Technology, Lesi Hu (胡乐思) and Zhangqi Pan (潘章琦), who attended the Mathematician Project A at HUST.
During the spring semester of 2022, they attended the algebra seminar organized by me and studied Hungerford’s Algebra book. During the fall semester of 2022, they attended the joint algebraic geometry seminar organized by Hao Sun and me, and discussed with 9 other students from 4 other universities in China. The students studied the first two chapters of Hartshorne’s Algebraic Geometry book. Each of them gave a 2hour talk. During this process they studied various related mathematical knowledge, including topology, manifolds and commutative algebra.
Lesi and Zhangqi finished their project paper on specific topics in algebraic geometry at the end of 2022：

Lesi Hu, Computation about Zariski tangent space and its Application in Deformation theory

Zhangqi Pan, Extending a Sheaf by Zero
For Graduates who are interested in working with me
If you want to work with me, you should have

Very strong motivation and passion towards algebraic topology

Solid background in topology, abstract algebra and basic algebraic topology.
And you should be prepared for

written exams, including topology, abstract algebra and basic algebraic topology.

an oral exam, 15 minutes or longer if necessary.

a practice meet. I will give you a paper to read and you present after one week.