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Research Interests:

Algebraic (Hermitian) K-theory, quadratic forms, A1-homotopy and algebraic geometry. 

Employment and Academic Visits 

01 Mar 2018 - , Bergische Universität WuppertalWuppertal, Germany.

01 Sep 2018  - 28 Feb 2019, Max Planck Institute for MathematicsBonn, Germany,  six months.  

01 Jul 2015 - 27 Feb 2018 , Research Fellow, University of Warwick, UK. 

08 May - 31 Aug 2017, Hausdorff Research Institute for Mathematics, Bonn, Germany, three months and 24 days.

01 Mar - 31 Mar 2014, Max Planck Institute for Mathematics, Bonn, Germany, one month. 

Education

Oct 2011 - Jul 2015, PhD in Mathematics, University of Warwick, UK.

Publication and Papers

[5] Grothendieck-Witt groups of quadricspreprint (2016).

[4] A Transfer morphism for Hermitian K-theory of schemes with involution, To appear in the Journal of Pure and Applied Algebra.

[3] Chow-Witt rings of split quadrics, (Joint with J. Hornbostel and M. Zibrowius) To appear in the proceedings Motivic homotopy theory and refined enumerative geometry in the AMS series, Contemporary Mathematics.

[2] Witt groups of smooth projective quadricsAdvances in Mathematics 346 (2019), 70-123. 

[1] An application of Hermitian K-theory: Sums-of-squares formulas, Documenta Mathematica 19 (2014), 195-208.

[0]. Grothendieck-Witt groups of quadrics and sums-of-square formulas, (2015), thesis.  

Organized event(s)

12 Feb 2018 - 16 Feb 2018 (conference), "K-theory, A1-homotopy and quadratic forms" (with Marco Schlichting), University of Warwick, Coventry, UK. 

Email: heng.xie at math.uni-wuppertal.de