Mathematics
Ph.D.
University of Washington
2014
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Faculty
Faculty
Xingting Wang, PHD
Assistant Professor
Department/Office
- Mathematics
School/College
- 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
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 algebraFunding
``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.