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 Urbana-Champaign. 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

Quasi-Elliptic Cohomology I.. Advances in Mathematics. Volume 337, 15 October 2018, Pages 107-138.

Quasi-Elliptic Cohomology and its Power Operations. Journal of Homotopy and Related Structures, 13(4), 715-767.

Preprint

Zhen Huan, Quasi-Elliptic Cohomology and its Spectrum.

Zhen Huan, Universal Finite Subgroup of Tate Curve.

Zhen Huan, Quasi-Theories.

Zhen Huan, Quasi-theories and their equivariant orthogonal spectra.

Zhen Huan, Almost Global Homotopy Theory.

Zhen Huan and Matthew Spong, Twisted Quasi-elliptic cohomology and twisted equivariant elliptic cohomology.

Zhen Huan and Nathaniel Stapleton, Level structures on p-divisible groups from the Morava E-theory of abelian groups.

Zhen Huan, 2-Representations of Lie 2-groups and 2-Vector Bundles.

Zhen Huan and Matthew Young, Twisted Real Quasi-elliptic cohomology.

Unfinished Projects

Real Hopkins-Kuhn-Ravenel Character theory.

Geometric Power operation of twisted quasi-elliptic cohomology.

Service

Co-organizer of the conference Workshop on Loop space and Higher category at Huazhong University of Science and Technology, December 2-3, 2022.

Co-organizer of the Joint undergraduate Algebraic Geometry seminar with Hao Sun, the fall semester 2022.

Co-organizer of the conference Mid-South Algebraic Topology and Geometry Workshop at Huazhong University of Science and Technology, July 18-21, 2022.

Organizer of the Algebraic Geometry and Topology Seminar at the Wuhan math center, 2019-present.

Reviewer for MathSciNet, zbMATH, 2019-present.

Co-organizer of the conference International Workshop on Algebraic Topology at Southern University of Science and Technology, China, June 6-9, 2018.

Talks and Presentations

Conference “Arithmetic and Topology”, Southern University of Science and Technology, Twisted Real Quasi-elliptic cohomology, December 16, 2022.

Center for Quantum and Topological Systems, New York University in Abu Dhabi, Twisted Real Quasi-elliptic cohomology, November 9, 2022.

Moscow-Beijing Topology Seminar, organized by Prof. V.O. Manturov, Twisted Real Quasi-elliptic 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, 2-Representations of Lie 2-groups and 2-Vector Bundles, October 14, 21, 28, and November 4, 2021.

Huazhong University of Science and Technology, 2-Representations of Lie 2-groups and 2-Vector Bundles, June 28, 2021.

Georg-August-Universitat Gottingen Seminar, 2-Representations of Lie 2-groups and 2-Vector Bundles, May 11, 2021.

University of Notre Dame Topology Seminar, 2-Representations of Lie 2-groups and 2-Vector Bundles, April 6, 2021.

University of Regensburg Topology Seminar, Level Structures and Morava E-theory, January 8, 2021.

Conference “Elliptic cohomology and Physics”, Perimeter Institute for Theoretical Physics, Quasi-elliptic cohomology theory and the twisted, twisted Real theories, May 28, 2020.

University of Copenhagen, Twisted Quasi-elliptic cohomology, May 4, 2020.

AMS Special Session on Geometric Representation Theory and Equivariant Elliptic Cohomology, Joint Mathematics Meetings, Level Structure and Morava E-theory, 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 E-theory, December 23, 2019.

Young Mathematician Forum at Beijing International Center for Mathematical Research, Level Structure and Morava E-theory, December 4, 2019.

Workshop and miniconference Elliptic Cohomology Days, University of Illinois at Urbana-Champaign, Power operation in Tate K-theory, June 12, 2019.

National University of Singapore Topology & Geometry Seminar, Quasi-elliptic cohomology, March 20, 2019.

Center for Mathematical Sciences, Huazhong University of Science and Technology, Quasi-elliptic 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, Quasi-elliptic 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, Quasi-elliptic cohomology, June 20 and 26, 2018.

Georg-August-Universitat Gottingen Seminar, Quasi-elliptic cohomology, June 6, 2018.

The University of Duisburg-Essen Research Seminar Arithmetic Geometry, Quasi-elliptic cohomology, May 17, 2018.

Chinese Academy of Sciences Topology Seminar, Quasi-elliptic cohomology, March 29, 2018.

Sun Yat-sen University, Zhuhai Campus, Quasi-elliptic cohomology, January 12, 2018.

Peking University Geometry and Topology Seminar, Quasi-elliptic cohomology, November 30, 2017.

South China Normal University Topology Seminar, Quasi-elliptic cohomology, November 16, 2017.

Southern University of Science and Technology Topology Seminar, Quasi-elliptic cohomology, November 14, 2017.

Poster Session, Schubert Calculus International Festival, Quasi-elliptic cohomology, November 9, 2017.

AMS Special Session on Homotopy Theory, Quasi-elliptic cohomology, November 5, 2017.

Nankai University Algebraic Topology Seminar, Quasi-elliptic cohomology, October 10, 2017.

Parallel Session, Conference “Homotopy theory: tools and applications”, University of Illinois at Urbana-Champaign, Quasi-elliptic Cohomology, July 17, 2017

Informal Session, Conference on invertible objects and duality in derived algebraic geometry and homotopy theory, the University of Regensburg, Germany. Quasi-elliptic Cohomology, April 3, 2017.

AMS Special Session on Homotopy Theory, Bloomington, IN. Quasi-elliptic Cohomology, April 1, 2017.

AMS Special Session on Topology and Arithmetic, Minneapolis, MN. Quasi-elliptic Cohomology, October 30, 2016.

University of Chicago Algebraic Topology Seminar, Quasi-elliptic cohomology, November 25, 2014.

Northwestern University Topology Seminar, Quasi-elliptic cohomology, November 24, 2014.

Teaching

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.

2016 Summer: teaching assistant for Netmath MATH 231-Calculus II.

2016 Spring: the main instructor of MATH 124-Finite Mathematics.

2015 Fall: the main instructor of MATH 124-Finite Mathematics.

2015 Spring: the main instructor of MATH 124-Finite Mathematics.

2013 Fall: the main instructor of MATH 119-Ideas in Geometry.

2016 Fall: led discussion session for MATH 221-Calculus I.

2012 Fall: led discussion session for MATH 231-Calculus II.

2012 Spring: led discussion session for MATH 234-Calculus for Business I.

2011 Fall: led discussion session for MATH 231-Calculus 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 Urbana-Champaign.

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 2-hour 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：

For Graduates who are interested in working with me

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