RESEARCH INTERESTS

Algebraic Geometry and Homological Algebra

EDUCATIONAL BACKGROUND

• Honours Bachelor Degree (Electronics and Telecommunication Engineering), University of Moratuwa, Sri Lanka (2004 – 2008)

• Master Degree (Mathematics), University of Liverpool, UK (2008 – 2010)

• Ph.D. Degree (Mathematics), University of Edinburgh, UK (2010 – 2014)

WORKING EXPERIENCE

• Associate Professor, Department of Mathematics, Xiamen University Malaysia, Malaysia (2019 – Present)

• Postdoctoral Research Associate and Instructor, Department of Mathematics, University of Arizona, USA (2017 – 2019)

• Postdoctoral Research Fellow, Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, Japan (2014 – 2017)

REPRESENTATIVE PUBLICATIONS

• Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds (with Antony Maciocia). Algebraic Geometry (Foundation Compositio Mathematica) 2 (2015), no. 3, 270 –297 (28 pages).

• Fourier–Mukai transforms and stability conditions on abelian varieties. Proceedings of Kinosaki Symposium on Algebraic Geometry (2015), 117 – 130 (14 pages).

• Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds II (with Antony Maciocia). International Journal of Mathematics 27, 1 (2016), 1650007 (27 pages).

• Moduli of Bridgeland semistable objects on 3-folds and Donaldson–Thomas invariants (with Yukinobu Toda). J. Reine Angew. Math. (Crelle’s Journal) 747 (2019), 175 – 219 (45 pages).

• Stability conditions under the Fourier–Mukai transforms on abelian threefolds. Quarterly Journal of Mathematics 70 (2019), no. 1, 225 – 288 (64 pages).

• Stability conditions, Bogomolov–Gieseker type inequalities and Fano 3-folds. Submitted. arXiv:1705.04011 (41 pages).

• Donaldson–Thomas invariants of abelian threefolds and Bridgeland stability conditions (with Georg Oberdieck and Yukinobu Toda). Submitted. arXiv:1808.02735 (58 pages).

HONORS/AWARDS

• WPI Programme Research Grant (approx. USD 14,500), Kavli IPMU, University of Tokyo, Japan, 2014 – 2017

• Dr. Laura Wisewell Travel Grant, University of Edinburgh, UK, 2013

• Alice Margaret Campbell Bequest Fund Award, University of Edinburgh, UK, 2012

• Principal’s Career Development Scholarship, University of Edinburgh, UK, 2010 – 2014

• Scottish Overseas Research Student Award, University of Edinburgh, UK, 2010 – 2014

• International Student Scholarship, University of Liverpool, UK, 2008 – 2010