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Faculty
Faculty

Xingting Wang, PHD

Assistant Professor

  • Mathematics
  • College of Arts & Sciences

Biography

Dr. Xingting Wang did his undergraduate study at Fudan University in Shanghai, China. Dr. Xingting Wang earned his Ph.D. at University of Washington in 2014 under the supervision of Professor James Zhang. Then Dr. Xingting Wang held one year lectureship at University of California, San Diego. After that, Dr. Xingting Wang did his postdoc at Temple University with Professor Chelsea Walton during 2015-2018.  Dr. Xingting Wang jointed Department of Mathematics, Howard University as an Assistant Professor in Fall 2018.

Since his Ph.D. in 2014, Dr. Xingting Wang has 41 total publications and several preprints on subjects vary through quantum groups, noncommutative algebraic geometry, Poisson geometry and mathematical physics. Many of the works are published in prestigious journals including Proceedings of the London Mathematical Society, Advances in Mathematics, and Selecta Mathematica. Dr. Xingting Wang's current research projects are partially supported by Simons Foundation and the Air Force Office of Scientific Research.

Education & Expertise

Education

Mathematics

Ph.D.
University of Washington
2014

Mathematics

B.A.
Fudan University
2007

Expertise

Algebra. Quantum groups, Poisson algebras, and homological algebra

My research interest lies in the interaction between noncommutative algebra and noncommutative geometry, where I use various tools from algebra and geometry to study interesting properties of noncommutative algebras and discover their applications in other fields of mathematics and physics. 

Academics

Academics

Math158 Calculus III Fall 2018

Math6 College Algebra I Fall 2018

Math210 Algebra II Spring 2019

Math158 Calculus III Fall 2019

Math197/208 Introduction to Modern Algebra I Fall 2019

Math198/209 Introduction to Modern Algebra II Spring 2020

Math 101 Proof and Problem Seminar I Fall 2020

Math 419 Topics in Algebra Fall 2020

Math 102 Proof and Problem Seminar II Spring 2021

Math 419 Topics in Algebra

Math 101 Proof and Problem Seminar I Fall 2021

Math 210 Modern Algebra I Fall 2021

Math 102 Proof and Problem Seminar II Spring 2022

Math 211 Modern Algebra II Spring 2022

Math 156 Calculus I Fall 2022

Math 210 Modern Algebra I Fall 2022

Research

Research

Specialty

Algebra. Quantum groups, Poisson algebras, homological algebra

Funding

``Quantum symmetries: Noncommutative geometry and solutions to the QYBE" (awarded), SQuaREs (Structured Quartet Research Ensembles), American Institute of mathematics. 2022-2024

``Quantum Symmetries: Fusion Rules, Braids, and indicators" (awarded), The Air Force Office of Scientific Research, $392,585. 09/01/2022-08/31/2025

``Quantum Symmetries: Fusion Rules, Braids, and Indicators" (awarded), Simons Foundation: Mathematics and Physics Sciences-Collaboration Grants for Mathematicians, $42,000. 09/01/2020-08/31/2025

Summer Faculty Research Fellowship at Howard University (awarded), $10,000. 06/21/2019-08/16/2019

AMS-Simons Travel Grants (awarded), Simons Foundation, $4,000. 07/01/2016-06/30/2018

Group Information

Current Graduate Supervisor: Awn Alqahtani with thesis title "Quantum groups and their invariant theory" (expected graduation Spring 2023) Howard University.

Graduate Supervisor: Noel Bourne with thesis title "Classification of pointed Hopf algebras in characteristic two" Howard University, 2022 Spring.

"Nonsplit module extensions over the one-sided inverse of k[x]", participants: Zheping Lu, 2018-2019. A research paper was published in Involve. A Journal of Mathematics and the result was presented by Zheping Lu at MAA Allegheny Mountain Section's Spring Meeting at Shepherd University, March 2019.

"Pointed Hopf algebras of dimension $pq$", participants: Tiantian Liu and Si Chen, 2017-2018. A research paper was published in Missouri J. Math. Sci. and the result was presented by Tiantian Liu and Si Chen at MAA Allegheny Mountain Section's Spring Meeting at Penn State Behrend, April 2018.

"Hopf algebras and Frobenius-Schur higher indicators", participants: Hao Hu and Xinyi Hu, 2016-2017. A research paper was published in Involve. A Journal of Mathematics and the result was presented by Hao Hu at MAA Allegheny Mountain Section's Spring Meeting at Duquesne University, April 2017.

Accomplishments

Accomplishments

Excellence in Teaching by a Postdoctoral Fellow, Temple University, 2015-2016

Microsoft Scholar Award, University of Washington, 2007-2011

2nd Prize in Fudan Scholarship, Fudan University, 2005-2007

2nd Prize in National Math Contest in Modeling for Undergraduates, 2006

Outstanding Freshman Scholarship, Fudan University, 2004

Related Articles

Poisson geometry and representations of PI 4-dimensional Sklyanin algebras

Sel. Math. 27, (2021), 1-60.

The Poisson geometry of the 3-dimensional PI Sklyanin algebras,

Proc. Lond. Math. Soc. (3) 118, no. 6 (2019), 1471-1500.

Poisson Dixmier-Moeglin equivalence from a topological point of view

Israel J. Math. (2020), 1-37.

The Zariski cancellation problem for Poisson algebras

J. Lond. Math. Soc. 101 (2020) no. 3, 1250-1279

Isomorphism classes of finite dimensional connected Hopf algebras in positive characteristic

Adv. Math. 281 (2015), 594--623.