**Sébastien Picard**

Assistant Professor

Mathematics Department

University of British Columbia

**Email:** spicard@math.ubc.ca

**Office:** MATH 236

**Research Interests:** Differential geometry, geometric analysis, partial differential equations, and complex geometry.

My CV can be found here.

**Current Teaching:**

** o ** Math 104: Differential Calculus with Applications to Commerce and Social Sciences (Fall 2020)

** o ** Math 317: Calculus IV (Winter 2021)

**Publications and Preprints:**

** o ** (with T.C. Collins and S.-T. Yau) *Stability of the tangent bundle through conifold transitions*

Preprint 2021 (arxiv)

** o ** (with T. Fei, D.H. Phong, X.-W. Zhang) *Bochner-Kodaira formulas and the Type IIA flow*

Preprint 2020 (arxiv)

** o ** (with T. Fei, D.H. Phong, X.-W. Zhang) *Geometric flows for the Type IIA string*

Preprint 2020 (arxiv)

** o ** (with T. Fei, D.H. Phong, X.-W. Zhang) *Estimates for a geometric flow for the Type IIB string*

Preprint 2020 (arxiv)

** o ** (with T.C. Collins) *The Dirichlet problem for the k-Hessian equation on a complex manifold*

To appear in Amer. J. Math. (arxiv)

** o ** (with X.-W. Zhang) *Parabolic complex Monge-Ampere equations on compact Kahler manifolds*

To appear in Proceedings of the ICCM (arxiv)

** o ** (with T. Fei) *Anomaly flow and T-duality*

To appear in Pure Appl. Math. Q. (arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *Fu-Yau Hessian equations*

To appear in Journal of Differential Geometry (arxiv)

** o ** (with T. Fei, Z. Huang) *The Anomaly flow over Riemann surfaces*

International Mathematics Research Notices 2021, no. 3 (2021), 2134-2165. (journal, arxiv)

** o ** (with T. Fei, Z. Huang) *A construction of infinitely many solutions to the Strominger system*

Journal of Differential Geometry 117 (2021), no. 1, 23-39. (journal, arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *A flow of conformally balanced metrics with Kahler fixed points*

Math. Ann. 374 (2019), no. 3-4, 2005-2040. (journal, arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *The Anomaly flow on unimodular Lie groups*

Contemp. Math. (2019), Volume 735, 217-239. (arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *On estimates for the Fu-Yau generalization of a Strominger system*

J. Reine Angew. Math (2019), No. 751, 243-274. (journal, arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *Anomaly flows*

Comm. Anal. Geom. 26 (2018), no. 4, 955-1008. (journal, arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *The Anomaly flow and the Fu-Yau equation*

Annals of PDE 4 (2018), no. 2. (journal, arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *Geometric flows and Strominger systems*

Math. Z. 288 (2018), 101-113. (journal, arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *New curvature flows in complex geometry*

Surveys in Differential Geometry 22 (2017), No. 1, 331-364. (journal, arxiv)

** o ** (with T.C. Collins, X. Wu) *Concavity of the Lagrangian phase operator and applications*

Calc. Var. Partial Differential Equations 56 (2017), no. 4, Art. 89 (journal, arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *The Fu-Yau equation with negative slope parameter*

Invent. Math. 209 (2017), no. 2, 541-576. (journal, arxiv)

** o ** (with D.H. Phong, X.-W. Zhang) *A second order estimate for general complex Hessian equations*

Analysis and PDE 9 (2016), no. 7, 1693-1709. (journal, arxiv)

** o ** *A priori estimates of the degenerate Monge-Ampere equation on Kahler manifolds of nonnegative bisectional curvature*

Math. Res. Lett. 20 (2013), no. 6, 1145-1156. (journal, arxiv)

**Graduate Topics Course Notes:**

** o ** Holder Estimates for Parabolic PDE

Part of a graduate course on PDE

** o ** Calabi-Yau Manifolds with Torsion and Geometric Flows

Mini course given at CIME Summer School in 2018

**Seminars:**

** o ** UBC Differential Geometry, Mathematical Physics, and PDE Seminar

** o ** Geometry and TACoS