Mathematics
Ph.D.
University of Washington
2014
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.
Ph.D.
University of Washington
2014
B.A.
Fudan University
2007
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.
``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
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.
Sel. Math. 27, (2021), 1-60.
Proc. Lond. Math. Soc. (3) 118, no. 6 (2019), 1471-1500.
Israel J. Math. (2020), 1-37.
J. Lond. Math. Soc. 101 (2020) no. 3, 1250-1279
Adv. Math. 281 (2015), 594--623.