Research

Publications

1. M. de Borbon and G. Edwards. Calabi-Yau metrics with cone singularities along intersecting complex lines: The unstable case. To appear in J. London Math. Soc., 2021. Preprint, arXiv:2006.06065. (arXiv)

2. M. de Borbon and G. Edwards. Schauder estimates on products of cones. Comment. Math. Helv. 96 (2021), no. 1, pp. 113-148. (link) (arXiv)

3. G. Edwards. The Chern-Ricci flow on primary Hopf surfaces. Math. Z. (2021). (link) (arXiv)

4. G. Edwards. Metric contraction of the cone divisor by the conical Kähler-Ricci flow. Math. Ann. 374 (2019), no. 3-4, pp. 1525-1557. (link) (arXiv)

5. G. Edwards. A scalar curvature bound along the conical Kähler-Ricci flow. J. Geom. Anal. 20 (2018), no. 1, pp. 225-252. (link) (arXiv)

Invited Seminars and Conference Presentations

1. Center for Quantum Geometry of Moduli Spaces, Aarhus University, June 2019.

2. Geometry and Topology Conference, Lehigh University, June 2019.

3. Informal Complex Geometry Seminar, Northwestern University, May 2019.

4. Nonlinear PDEs in Real and Complex Geometry, American Institute of Mathematics (San Jose, CA), August 2018.

5. AMS Central Sectional Meeting, The Ohio State University, March 2018.

6. Informal Complex Geometry and PDE Seminar, Columbia University, October 2017.

7. Thematic Program in Current Developments and New Directions in Kähler geometry, University of Notre Dame, June 2017.

8. Differential Geometry Seminar, The University of Iowa, April 2017.

9. Winter Workshop on Kähler Geometry, Rutgers University, January 2015.

Selected Seminar Presentations

Geometric Analysis Seminar, University of Notre Dame

1. Positivity of Weil-Petersson currents on canonical models of non-general type, 2019.

2. A priori estimates on the constant scalar curvature Kähler metrics, 2018.

3. Convergence of the Kähler-Ricci flow on lower dimensional algebraic manifolds of general type, 2018.

Informal Geometric Analysis Seminar, Northwestern University

1. Direct images of fiberwise Ricci flat metrics on Calabi-Yau fibrations, 2018.

2. Geometric estimates for complex Monge-Ampère equations, 2017.

3. Recent developments on the Ricci flow with marked points, 2017.

4. Schauder estimates for equations with cone metrics, 2017.

5. The continuity method for equations with cone metrics, 2017.

6. The conical Kähler-Ricci flow on Hirzebruch surfaces, 2016.

7. The Ricci flow on the sphere with marked points, 2016.

8. The Kähler-Ricci flow on elliptic surfaces, II, 2016.

9. The Kähler-Ricci flow on elliptic surfaces, I, 2015.

10. The conical Kähler-Ricci flow, 2015.

11. Grigori Perelman’s work on the Kähler-Ricci flow, 2014.